diff --git a/.gitignore b/.gitignore
index 013d91263124..254593d9e1cd 100644
--- a/.gitignore
+++ b/.gitignore
@@ -108,15 +108,15 @@ framework/contrib/libtorch
 test.cache
 
 # Allow certain files in gold directories
-!**/gold/*.e
-!**/gold/*.e-s*
-!**/gold/*.csv
-!**/gold/*.csv.*
-!**/gold/*.vtk
-!**/gold/*.vtu
-!**/gold/*.pvtu
-!**/gold/*.xml*
-!**/gold/*.json*
+!**/gold/**/*.e
+!**/gold/**/*.e-s*
+!**/gold/**/*.csv
+!**/gold/**/*.csv.*
+!**/gold/**/*.vtk
+!**/gold/**/*.vtu
+!**/gold/**/*.pvtu
+!**/gold/**/*.xml*
+!**/gold/**/*.json*
 
 peacock_run_tmp.i
 yaml_dump*
@@ -338,3 +338,16 @@ share/
 *.hpc_out.txt
 *.hpc_result
 *.hpc_submit
+
+# MFEM output
+OutputData
+!**/gold/**/OutputData
+!**/gold/**/OutputData/**/*.e
+!**/gold/**/OutputData/**/*.e-s*
+!**/gold/**/OutputData/**/*.csv
+!**/gold/**/OutputData/**/*.csv.*
+!**/gold/**/OutputData/**/*.vtk
+!**/gold/**/OutputData/**/*.vtu
+!**/gold/**/OutputData/**/*.pvtu
+!**/gold/**/OutputData/**/*.xml*
+!**/gold/**/OutputData/**/*.json*
diff --git a/.gitmodules b/.gitmodules
index 2c2e72815998..b0ac3e3159cb 100644
--- a/.gitmodules
+++ b/.gitmodules
@@ -47,3 +47,11 @@
 	path = modules/fluid_properties/contrib/carbon_dioxide
 	url = https://github.com/idaholab/carbon_dioxide.git
     update = none
+[submodule "framework/contrib/mfem"]
+	path = framework/contrib/mfem
+    url = ../../mfem/mfem.git
+    update = none
+[submodule "framework/contrib/conduit"]
+	path = framework/contrib/conduit
+	url = https://github.com/LLNL/conduit.git
+    update = none
diff --git a/aclocal.m4 b/aclocal.m4
index 353779c94b3c..e9739590e6b2 100644
--- a/aclocal.m4
+++ b/aclocal.m4
@@ -1,6 +1,6 @@
-# generated automatically by aclocal 1.16.1 -*- Autoconf -*-
+# generated automatically by aclocal 1.16.5 -*- Autoconf -*-
 
-# Copyright (C) 1996-2018 Free Software Foundation, Inc.
+# Copyright (C) 1996-2021 Free Software Foundation, Inc.
 
 # This file is free software; the Free Software Foundation
 # gives unlimited permission to copy and/or distribute it,
diff --git a/apptainer/moose-dev.def b/apptainer/moose-dev.def
index 0df39422fad5..7ff3e2c95063 100644
--- a/apptainer/moose-dev.def
+++ b/apptainer/moose-dev.def
@@ -7,15 +7,25 @@
 
 {#- Optional jinja arguments                                                                  -#}
 {#- CONDA_ALT_CHANNEL: An alternate channel to add to conda                                   -#}
+{#- CONDUIT_GIT_SHA: The git SHA to use for conduit                                           -#}
+{#- CONDUIT_GIT_REMOTE: The git remote to use to get conduit                                  -#}
+{#- MFEM_GIT_SHA: The git SHA to use for MFEM                                                 -#}
+{#- MFEM_GIT_REMOTE: The git remote to use to get MFEM                                        -#}
+{#- MFEM_OPTIONS: Options to pass to mfem build                                               -#}
 {#- MOOSE_TOOLS_VERSION: The version to pin moose-tools to (if any)                           -#}
 {#- MOOSE_JOBS: Number of jobs to pass to the builds                                          -#}
-{#- WITH_LIBTORCH: The libtorch distribution to use (cpu, cu121, etc); default: cpu           -#}
 {#- PROFILING: Set to anything to build for profiling (add gperftools)                        -#}
+{#- WITH_LIBTORCH: The libtorch distribution to use (cpu, cu121, etc); default: cpu           -#}
+{#- WITH_MFEM: Whether or not to build mfem (default: 1 to build, 0 to not build)             -#}
 
 {#- Set WITH_LIBTORCH default if not set                                                      -#}
 {%- if WITH_LIBTORCH is not defined %}
 {%- set WITH_LIBTORCH = 'cpu' %}
 {%- endif %}
+{#- Set WITH_MFEM default if not set                                                          -#}
+{%- if WITH_MFEM is not defined %}
+{%- set WITH_MFEM = '1' %}
+{%- endif %}
 
 {#- The within-container build directory to use                                               -#}
 {%- set ROOT_BUILD_DIR = '/root/build' -%}
@@ -23,15 +33,21 @@
 {#- Location to install miniforge3                                                            -#}
 {%- set MOOSE_MINIFORGE = '/opt/miniforge3' -%}
 
-{#- The installation location for wasp                                                        -#}
-{%- set WASP_DIR = '/opt/wasp' -%}
+{#- Name of the environment to create in conda                                                -#}
+{%- set MOOSE_CONDA_ENV_NAME = 'moose' -%}
+
 {#- The installation location for gperftools                                                  -#}
 {%- set GPERF_DIR = '/opt/gperftools' -%}
 {#- The installation location for pprof                                                       -#}
 {%- set PPROF_DIR = '/opt/pprof' -%}
 {#- The installation location for libtorch                                                    -#}
-{%- set LIBTORCH_DEST = '/opt' -%}
-
+{%- set LIBTORCH_DIR = '/opt/libtorch' -%}
+{#- The script used to install mfem                                                           -#}
+{%- set MFEM_BUILD_SCRIPT = 'update_and_rebuild_mfem.sh' -%}
+{#- The installation location for mfem                                                        -#}
+{%- set MFEM_DIR = '/opt/mfem' -%}
+{#- The installation location for wasp                                                        -#}
+{%- set WASP_DIR = '/opt/wasp' -%}
 {#- The script used to install wasp                                                           -#}
 {%- set WASP_BUILD_SCRIPT = 'update_and_rebuild_wasp.sh' -%}
 
@@ -50,9 +66,13 @@ Fingerprints: 0CFFCAB55E806363601C442D211817B01E0911DB
     export WASP_DIR={{ WASP_DIR }}
     export PATH=${WASP_DIR}/bin:$PATH
 
+{%- if WITH_MFEM %}
+    export MFEM_DIR={{ MFEM_DIR }}
+{%- endif %}
+
 {%- if WITH_LIBTORCH %}
     # Make libtorch visible to moose
-    export LIBTORCH_DIR={{ LIBTORCH_DEST }}/libtorch
+    export LIBTORCH_DIR={{ LIBTORCH_DIR }}
     # Adding this to not get GPU initialization errors from MPICH
     export MPIR_CVAR_ENABLE_GPU=0
 {%- endif %}
@@ -105,17 +125,9 @@ Fingerprints: 0CFFCAB55E806363601C442D211817B01E0911DB
     chmod 755 /opt/code-server/bin/*
     chmod 644 /opt/code-server/extensions/*
 
-    # Clone WASP
-    cd ${ROOT_BUILD_DIR}
-    WASP_SRC_DIR=${ROOT_BUILD_DIR}/wasp
-    git clone ${WASP_GIT_REMOTE} ${WASP_SRC_DIR}
-    cd ${WASP_SRC_DIR}
-    git checkout ${WASP_GIT_SHA}
-    git submodule update --init --recursive
-
 {%- if WITH_LIBTORCH %}
     # Libtorch-related vars
-    LIBTORCH_DEST={{ LIBTORCH_DEST }}
+    LIBTORCH_DEST=$(realpath -m {{ LIBTORCH_DIR }}/..)
     LIBTORCH_VER=2.1.0
     LIBTORCH_DISTRIBUTION={{ WITH_LIBTORCH }}
 
@@ -134,6 +146,35 @@ Fingerprints: 0CFFCAB55E806363601C442D211817B01E0911DB
 {%- endif %}
 {%- endif %}
 
+{%- if WITH_MFEM %}
+    # Load MFEM jinja variables
+    CONDUIT_GIT_SHA={{ CONDUIT_GIT_SHA }}
+    CONDUIT_GIT_REMOTE={{ CONDUIT_GIT_REMOTE }}
+    CONDUIT_DIR={{ CONDUIT_DIR }}
+    MFEM_BUILD_SCRIPT=${ROOT_BUILD_DIR}/{{ MFEM_BUILD_SCRIPT }}
+    MFEM_DIR={{ MFEM_DIR }}
+    MFEM_GIT_SHA={{ MFEM_GIT_SHA }}
+    MFEM_GIT_REMOTE={{ MFEM_GIT_REMOTE }}
+
+    # Clone conduit
+    cd ${ROOT_BUILD_DIR}
+    git clone $CONDUIT_GIT_REMOTE
+    CONDUIT_SRC_DIR=${ROOT_BUILD_DIR}/conduit
+    cd ${CONDUIT_SRC_DIR}
+    git checkout $CONDUIT_GIT_SHA
+    git submodule update --init
+
+    # Clone MFEM
+    cd ${ROOT_BUILD_DIR}
+    git clone $MFEM_GIT_REMOTE
+    MFEM_SRC_DIR=${ROOT_BUILD_DIR}/mfem
+    cd ${MFEM_SRC_DIR}
+    git checkout $MFEM_GIT_SHA
+
+    # Install MFEM
+    MFEM_DIR=${MFEM_DIR} MFEM_SRC_DIR=${MFEM_SRC_DIR} CONDUIT_SRC_DIR=${CONDUIT_SRC_DIR} ${MFEM_BUILD_SCRIPT} {{ MFEM_OPTIONS }}
+{%- endif %}
+
     # Install miniforge in MOOSE_MINIFORGE
     MINIFORGE_SCRIPT=${ROOT_BUILD_DIR}/miniforge3.sh
     curl -L https://github.com/conda-forge/miniforge/releases/download/${MINIFORGE_VERSION}/Miniforge3-${MINIFORGE_VERSION}-Linux-x86_64.sh -o ${MINIFORGE_SCRIPT}
@@ -156,6 +197,14 @@ Fingerprints: 0CFFCAB55E806363601C442D211817B01E0911DB
     # Needed for coverage
     pip3 --no-cache install lcov-cobertura
 
+    # Clone WASP
+    cd ${ROOT_BUILD_DIR}
+    WASP_SRC_DIR=${ROOT_BUILD_DIR}/wasp
+    git clone ${WASP_GIT_REMOTE} ${WASP_SRC_DIR}
+    cd ${WASP_SRC_DIR}
+    git checkout ${WASP_GIT_SHA}
+    git submodule update --init --recursive
+
     # Build and install wasp
     # This is redundant; hopefully we can use the one from conda in the future
     WASP_SRC_DIR=${WASP_SRC_DIR} ${WASP_BUILD_SCRIPT} -D CMAKE_INSTALL_PREFIX:STRING=${WASP_DIR}
@@ -204,6 +253,7 @@ Fingerprints: 0CFFCAB55E806363601C442D211817B01E0911DB
 %files
     {{ FILES_DIR }}/opt/code-server/bin/code-server-setup-extensions /opt/code-server/bin/code-server-setup-extensions
     {{ FILES_DIR }}/opt/code-server/bin/code-server-start /opt/code-server/bin/code-server-start
+    {{ MOOSE_DIR }}/scripts/{{ MFEM_BUILD_SCRIPT }} {{ ROOT_BUILD_DIR }}/{{ MFEM_BUILD_SCRIPT }}
     {{ MOOSE_DIR }}/scripts/{{ WASP_BUILD_SCRIPT }} {{ ROOT_BUILD_DIR }}/{{ WASP_BUILD_SCRIPT }}
     {{ MOOSE_DIR }}/scripts/configure_wasp.sh {{ ROOT_BUILD_DIR }}/configure_wasp.sh
 {%- if WITH_LIBTORCH %}
diff --git a/conda/moose-dev/meta.yaml b/conda/moose-dev/meta.yaml
index ecce79efdba0..3ec51f4dfe17 100644
--- a/conda/moose-dev/meta.yaml
+++ b/conda/moose-dev/meta.yaml
@@ -2,7 +2,7 @@
 # REMEMBER TO UPDATE the .yaml files for the following packages:
 #   moose/conda_build_config.yaml
 # As well as any directions pertaining to modifying those files.
-{% set version = "2024.12.23" %}
+{% set version = "2025.01.07" %}
 
 package:
   name: moose-dev
diff --git a/conda/moose/conda_build_config.yaml b/conda/moose/conda_build_config.yaml
index 30f84e9dc2f2..f2b2dd8f1178 100644
--- a/conda/moose/conda_build_config.yaml
+++ b/conda/moose/conda_build_config.yaml
@@ -3,7 +3,7 @@ mpi:
   - openmpi
 
 moose_dev:
-  - moose-dev 2024.12.23
+  - moose-dev 2025.01.07
 
 #### Darwin SDK SYSROOT
 CONDA_BUILD_SYSROOT:                                        # [osx]
diff --git a/conf_vars.mk.in b/conf_vars.mk.in
index c34b89f41759..4a68aa9f4fc2 100644
--- a/conf_vars.mk.in
+++ b/conf_vars.mk.in
@@ -3,3 +3,5 @@ libPNG_INCLUDE := @LIBPNG_INCLUDES@
 PREFIX         := @prefix@
 ENABLE_LIBTORCH := @libtorch_support@
 LIBTORCH_DIR := @libtorch_library@
+ENABLE_MFEM := @mfem_support@
+MFEM_DIR := @mfem_library@
diff --git a/configure b/configure
index 1cd42cf0ef18..9df5ff33ce8a 100755
--- a/configure
+++ b/configure
@@ -1,11 +1,12 @@
 #! /bin/sh
 # Guess values for system-dependent variables and create Makefiles.
-# Generated by GNU Autoconf 2.69 for moose 0.9.0.
+# Generated by GNU Autoconf 2.71 for moose 0.9.0.
 #
 # Report bugs to <https://github.com/idaholab/moose/discussions>.
 #
 #
-# Copyright (C) 1992-1996, 1998-2012 Free Software Foundation, Inc.
+# Copyright (C) 1992-1996, 1998-2017, 2020-2021 Free Software Foundation,
+# Inc.
 #
 #
 # This configure script is free software; the Free Software Foundation
@@ -16,14 +17,16 @@
 
 # Be more Bourne compatible
 DUALCASE=1; export DUALCASE # for MKS sh
-if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then :
+as_nop=:
+if test ${ZSH_VERSION+y} && (emulate sh) >/dev/null 2>&1
+then :
   emulate sh
   NULLCMD=:
   # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which
   # is contrary to our usage.  Disable this feature.
   alias -g '${1+"$@"}'='"$@"'
   setopt NO_GLOB_SUBST
-else
+else $as_nop
   case `(set -o) 2>/dev/null` in #(
   *posix*) :
     set -o posix ;; #(
@@ -33,46 +36,46 @@ esac
 fi
 
 
+
+# Reset variables that may have inherited troublesome values from
+# the environment.
+
+# IFS needs to be set, to space, tab, and newline, in precisely that order.
+# (If _AS_PATH_WALK were called with IFS unset, it would have the
+# side effect of setting IFS to empty, thus disabling word splitting.)
+# Quoting is to prevent editors from complaining about space-tab.
 as_nl='
 '
 export as_nl
-# Printing a long string crashes Solaris 7 /usr/bin/printf.
-as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'
-as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo
-as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo
-# Prefer a ksh shell builtin over an external printf program on Solaris,
-# but without wasting forks for bash or zsh.
-if test -z "$BASH_VERSION$ZSH_VERSION" \
-    && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then
-  as_echo='print -r --'
-  as_echo_n='print -rn --'
-elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then
-  as_echo='printf %s\n'
-  as_echo_n='printf %s'
-else
-  if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then
-    as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"'
-    as_echo_n='/usr/ucb/echo -n'
-  else
-    as_echo_body='eval expr "X$1" : "X\\(.*\\)"'
-    as_echo_n_body='eval
-      arg=$1;
-      case $arg in #(
-      *"$as_nl"*)
-	expr "X$arg" : "X\\(.*\\)$as_nl";
-	arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;;
-      esac;
-      expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl"
-    '
-    export as_echo_n_body
-    as_echo_n='sh -c $as_echo_n_body as_echo'
-  fi
-  export as_echo_body
-  as_echo='sh -c $as_echo_body as_echo'
-fi
+IFS=" ""	$as_nl"
+
+PS1='$ '
+PS2='> '
+PS4='+ '
+
+# Ensure predictable behavior from utilities with locale-dependent output.
+LC_ALL=C
+export LC_ALL
+LANGUAGE=C
+export LANGUAGE
+
+# We cannot yet rely on "unset" to work, but we need these variables
+# to be unset--not just set to an empty or harmless value--now, to
+# avoid bugs in old shells (e.g. pre-3.0 UWIN ksh).  This construct
+# also avoids known problems related to "unset" and subshell syntax
+# in other old shells (e.g. bash 2.01 and pdksh 5.2.14).
+for as_var in BASH_ENV ENV MAIL MAILPATH CDPATH
+do eval test \${$as_var+y} \
+  && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || :
+done
+
+# Ensure that fds 0, 1, and 2 are open.
+if (exec 3>&0) 2>/dev/null; then :; else exec 0</dev/null; fi
+if (exec 3>&1) 2>/dev/null; then :; else exec 1>/dev/null; fi
+if (exec 3>&2)            ; then :; else exec 2>/dev/null; fi
 
 # The user is always right.
-if test "${PATH_SEPARATOR+set}" != set; then
+if ${PATH_SEPARATOR+false} :; then
   PATH_SEPARATOR=:
   (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && {
     (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 ||
@@ -81,13 +84,6 @@ if test "${PATH_SEPARATOR+set}" != set; then
 fi
 
 
-# IFS
-# We need space, tab and new line, in precisely that order.  Quoting is
-# there to prevent editors from complaining about space-tab.
-# (If _AS_PATH_WALK were called with IFS unset, it would disable word
-# splitting by setting IFS to empty value.)
-IFS=" ""	$as_nl"
-
 # Find who we are.  Look in the path if we contain no directory separator.
 as_myself=
 case $0 in #((
@@ -96,8 +92,12 @@ case $0 in #((
 for as_dir in $PATH
 do
   IFS=$as_save_IFS
-  test -z "$as_dir" && as_dir=.
-    test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break
+  case $as_dir in #(((
+    '') as_dir=./ ;;
+    */) ;;
+    *) as_dir=$as_dir/ ;;
+  esac
+    test -r "$as_dir$0" && as_myself=$as_dir$0 && break
   done
 IFS=$as_save_IFS
 
@@ -109,30 +109,10 @@ if test "x$as_myself" = x; then
   as_myself=$0
 fi
 if test ! -f "$as_myself"; then
-  $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2
+  printf "%s\n" "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2
   exit 1
 fi
 
-# Unset variables that we do not need and which cause bugs (e.g. in
-# pre-3.0 UWIN ksh).  But do not cause bugs in bash 2.01; the "|| exit 1"
-# suppresses any "Segmentation fault" message there.  '((' could
-# trigger a bug in pdksh 5.2.14.
-for as_var in BASH_ENV ENV MAIL MAILPATH
-do eval test x\${$as_var+set} = xset \
-  && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || :
-done
-PS1='$ '
-PS2='> '
-PS4='+ '
-
-# NLS nuisances.
-LC_ALL=C
-export LC_ALL
-LANGUAGE=C
-export LANGUAGE
-
-# CDPATH.
-(unset CDPATH) >/dev/null 2>&1 && unset CDPATH
 
 # Use a proper internal environment variable to ensure we don't fall
   # into an infinite loop, continuously re-executing ourselves.
@@ -154,20 +134,22 @@ esac
 exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"}
 # Admittedly, this is quite paranoid, since all the known shells bail
 # out after a failed `exec'.
-$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2
-as_fn_exit 255
+printf "%s\n" "$0: could not re-execute with $CONFIG_SHELL" >&2
+exit 255
   fi
   # We don't want this to propagate to other subprocesses.
           { _as_can_reexec=; unset _as_can_reexec;}
 if test "x$CONFIG_SHELL" = x; then
-  as_bourne_compatible="if test -n \"\${ZSH_VERSION+set}\" && (emulate sh) >/dev/null 2>&1; then :
+  as_bourne_compatible="as_nop=:
+if test \${ZSH_VERSION+y} && (emulate sh) >/dev/null 2>&1
+then :
   emulate sh
   NULLCMD=:
   # Pre-4.2 versions of Zsh do word splitting on \${1+\"\$@\"}, which
   # is contrary to our usage.  Disable this feature.
   alias -g '\${1+\"\$@\"}'='\"\$@\"'
   setopt NO_GLOB_SUBST
-else
+else \$as_nop
   case \`(set -o) 2>/dev/null\` in #(
   *posix*) :
     set -o posix ;; #(
@@ -187,41 +169,52 @@ as_fn_success || { exitcode=1; echo as_fn_success failed.; }
 as_fn_failure && { exitcode=1; echo as_fn_failure succeeded.; }
 as_fn_ret_success || { exitcode=1; echo as_fn_ret_success failed.; }
 as_fn_ret_failure && { exitcode=1; echo as_fn_ret_failure succeeded.; }
-if ( set x; as_fn_ret_success y && test x = \"\$1\" ); then :
+if ( set x; as_fn_ret_success y && test x = \"\$1\" )
+then :
 
-else
+else \$as_nop
   exitcode=1; echo positional parameters were not saved.
 fi
 test x\$exitcode = x0 || exit 1
+blah=\$(echo \$(echo blah))
+test x\"\$blah\" = xblah || exit 1
 test -x / || exit 1"
   as_suggested="  as_lineno_1=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_1a=\$LINENO
   as_lineno_2=";as_suggested=$as_suggested$LINENO;as_suggested=$as_suggested" as_lineno_2a=\$LINENO
   eval 'test \"x\$as_lineno_1'\$as_run'\" != \"x\$as_lineno_2'\$as_run'\" &&
   test \"x\`expr \$as_lineno_1'\$as_run' + 1\`\" = \"x\$as_lineno_2'\$as_run'\"' || exit 1"
-  if (eval "$as_required") 2>/dev/null; then :
+  if (eval "$as_required") 2>/dev/null
+then :
   as_have_required=yes
-else
+else $as_nop
   as_have_required=no
 fi
-  if test x$as_have_required = xyes && (eval "$as_suggested") 2>/dev/null; then :
+  if test x$as_have_required = xyes && (eval "$as_suggested") 2>/dev/null
+then :
 
-else
+else $as_nop
   as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
 as_found=false
 for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH
 do
   IFS=$as_save_IFS
-  test -z "$as_dir" && as_dir=.
+  case $as_dir in #(((
+    '') as_dir=./ ;;
+    */) ;;
+    *) as_dir=$as_dir/ ;;
+  esac
   as_found=:
   case $as_dir in #(
 	 /*)
 	   for as_base in sh bash ksh sh5; do
 	     # Try only shells that exist, to save several forks.
-	     as_shell=$as_dir/$as_base
+	     as_shell=$as_dir$as_base
 	     if { test -f "$as_shell" || test -f "$as_shell.exe"; } &&
-		    { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$as_shell"; } 2>/dev/null; then :
+		    as_run=a "$as_shell" -c "$as_bourne_compatible""$as_required" 2>/dev/null
+then :
   CONFIG_SHELL=$as_shell as_have_required=yes
-		   if { $as_echo "$as_bourne_compatible""$as_suggested" | as_run=a "$as_shell"; } 2>/dev/null; then :
+		   if as_run=a "$as_shell" -c "$as_bourne_compatible""$as_suggested" 2>/dev/null
+then :
   break 2
 fi
 fi
@@ -229,14 +222,21 @@ fi
        esac
   as_found=false
 done
-$as_found || { if { test -f "$SHELL" || test -f "$SHELL.exe"; } &&
-	      { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$SHELL"; } 2>/dev/null; then :
-  CONFIG_SHELL=$SHELL as_have_required=yes
-fi; }
 IFS=$as_save_IFS
+if $as_found
+then :
 
+else $as_nop
+  if { test -f "$SHELL" || test -f "$SHELL.exe"; } &&
+	      as_run=a "$SHELL" -c "$as_bourne_compatible""$as_required" 2>/dev/null
+then :
+  CONFIG_SHELL=$SHELL as_have_required=yes
+fi
+fi
 
-      if test "x$CONFIG_SHELL" != x; then :
+
+      if test "x$CONFIG_SHELL" != x
+then :
   export CONFIG_SHELL
              # We cannot yet assume a decent shell, so we have to provide a
 # neutralization value for shells without unset; and this also
@@ -254,18 +254,19 @@ esac
 exec $CONFIG_SHELL $as_opts "$as_myself" ${1+"$@"}
 # Admittedly, this is quite paranoid, since all the known shells bail
 # out after a failed `exec'.
-$as_echo "$0: could not re-execute with $CONFIG_SHELL" >&2
+printf "%s\n" "$0: could not re-execute with $CONFIG_SHELL" >&2
 exit 255
 fi
 
-    if test x$as_have_required = xno; then :
-  $as_echo "$0: This script requires a shell more modern than all"
-  $as_echo "$0: the shells that I found on your system."
-  if test x${ZSH_VERSION+set} = xset ; then
-    $as_echo "$0: In particular, zsh $ZSH_VERSION has bugs and should"
-    $as_echo "$0: be upgraded to zsh 4.3.4 or later."
+    if test x$as_have_required = xno
+then :
+  printf "%s\n" "$0: This script requires a shell more modern than all"
+  printf "%s\n" "$0: the shells that I found on your system."
+  if test ${ZSH_VERSION+y} ; then
+    printf "%s\n" "$0: In particular, zsh $ZSH_VERSION has bugs and should"
+    printf "%s\n" "$0: be upgraded to zsh 4.3.4 or later."
   else
-    $as_echo "$0: Please tell bug-autoconf@gnu.org and
+    printf "%s\n" "$0: Please tell bug-autoconf@gnu.org and
 $0: https://github.com/idaholab/moose/discussions about
 $0: your system, including any error possibly output before
 $0: this message. Then install a modern shell, or manually
@@ -293,6 +294,7 @@ as_fn_unset ()
 }
 as_unset=as_fn_unset
 
+
 # as_fn_set_status STATUS
 # -----------------------
 # Set $? to STATUS, without forking.
@@ -310,6 +312,14 @@ as_fn_exit ()
   as_fn_set_status $1
   exit $1
 } # as_fn_exit
+# as_fn_nop
+# ---------
+# Do nothing but, unlike ":", preserve the value of $?.
+as_fn_nop ()
+{
+  return $?
+}
+as_nop=as_fn_nop
 
 # as_fn_mkdir_p
 # -------------
@@ -324,7 +334,7 @@ as_fn_mkdir_p ()
     as_dirs=
     while :; do
       case $as_dir in #(
-      *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'(
+      *\'*) as_qdir=`printf "%s\n" "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'(
       *) as_qdir=$as_dir;;
       esac
       as_dirs="'$as_qdir' $as_dirs"
@@ -333,7 +343,7 @@ $as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \
 	 X"$as_dir" : 'X\(//\)[^/]' \| \
 	 X"$as_dir" : 'X\(//\)$' \| \
 	 X"$as_dir" : 'X\(/\)' \| . 2>/dev/null ||
-$as_echo X"$as_dir" |
+printf "%s\n" X"$as_dir" |
     sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{
 	    s//\1/
 	    q
@@ -372,12 +382,13 @@ as_fn_executable_p ()
 # advantage of any shell optimizations that allow amortized linear growth over
 # repeated appends, instead of the typical quadratic growth present in naive
 # implementations.
-if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then :
+if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null
+then :
   eval 'as_fn_append ()
   {
     eval $1+=\$2
   }'
-else
+else $as_nop
   as_fn_append ()
   {
     eval $1=\$$1\$2
@@ -389,18 +400,27 @@ fi # as_fn_append
 # Perform arithmetic evaluation on the ARGs, and store the result in the
 # global $as_val. Take advantage of shells that can avoid forks. The arguments
 # must be portable across $(()) and expr.
-if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then :
+if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null
+then :
   eval 'as_fn_arith ()
   {
     as_val=$(( $* ))
   }'
-else
+else $as_nop
   as_fn_arith ()
   {
     as_val=`expr "$@" || test $? -eq 1`
   }
 fi # as_fn_arith
 
+# as_fn_nop
+# ---------
+# Do nothing but, unlike ":", preserve the value of $?.
+as_fn_nop ()
+{
+  return $?
+}
+as_nop=as_fn_nop
 
 # as_fn_error STATUS ERROR [LINENO LOG_FD]
 # ----------------------------------------
@@ -412,9 +432,9 @@ as_fn_error ()
   as_status=$1; test $as_status -eq 0 && as_status=1
   if test "$4"; then
     as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack
-    $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4
+    printf "%s\n" "$as_me:${as_lineno-$LINENO}: error: $2" >&$4
   fi
-  $as_echo "$as_me: error: $2" >&2
+  printf "%s\n" "$as_me: error: $2" >&2
   as_fn_exit $as_status
 } # as_fn_error
 
@@ -441,7 +461,7 @@ as_me=`$as_basename -- "$0" ||
 $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \
 	 X"$0" : 'X\(//\)$' \| \
 	 X"$0" : 'X\(/\)' \| . 2>/dev/null ||
-$as_echo X/"$0" |
+printf "%s\n" X/"$0" |
     sed '/^.*\/\([^/][^/]*\)\/*$/{
 	    s//\1/
 	    q
@@ -485,7 +505,7 @@ as_cr_alnum=$as_cr_Letters$as_cr_digits
       s/-\n.*//
     ' >$as_me.lineno &&
   chmod +x "$as_me.lineno" ||
-    { $as_echo "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2; as_fn_exit 1; }
+    { printf "%s\n" "$as_me: error: cannot create $as_me.lineno; rerun with a POSIX shell" >&2; as_fn_exit 1; }
 
   # If we had to re-execute with $CONFIG_SHELL, we're ensured to have
   # already done that, so ensure we don't try to do so again and fall
@@ -499,6 +519,10 @@ as_cr_alnum=$as_cr_Letters$as_cr_digits
   exit
 }
 
+
+# Determine whether it's possible to make 'echo' print without a newline.
+# These variables are no longer used directly by Autoconf, but are AC_SUBSTed
+# for compatibility with existing Makefiles.
 ECHO_C= ECHO_N= ECHO_T=
 case `echo -n x` in #(((((
 -n*)
@@ -512,6 +536,13 @@ case `echo -n x` in #(((((
   ECHO_N='-n';;
 esac
 
+# For backward compatibility with old third-party macros, we provide
+# the shell variables $as_echo and $as_echo_n.  New code should use
+# AS_ECHO(["message"]) and AS_ECHO_N(["message"]), respectively.
+as_echo='printf %s\n'
+as_echo_n='printf %s'
+
+
 rm -f conf$$ conf$$.exe conf$$.file
 if test -d conf$$.dir; then
   rm -f conf$$.dir/conf$$.file
@@ -590,6 +621,8 @@ LIBPNG_INCLUDES
 LIBPNG_LIBS
 LIBPNG
 PKG_CONFIG
+mfem_library
+mfem_support
 libtorch_library
 libtorch_support
 target_alias
@@ -611,6 +644,7 @@ infodir
 docdir
 oldincludedir
 includedir
+runstatedir
 localstatedir
 sharedstatedir
 sysconfdir
@@ -635,6 +669,7 @@ ac_user_opts='
 enable_option_checking
 with_derivative_size
 with_libtorch
+with_mfem
 '
       ac_precious_vars='build_alias
 host_alias
@@ -677,6 +712,7 @@ datadir='${datarootdir}'
 sysconfdir='${prefix}/etc'
 sharedstatedir='${prefix}/com'
 localstatedir='${prefix}/var'
+runstatedir='${localstatedir}/run'
 includedir='${prefix}/include'
 oldincludedir='/usr/include'
 docdir='${datarootdir}/doc/${PACKAGE_TARNAME}'
@@ -706,8 +742,6 @@ do
   *)    ac_optarg=yes ;;
   esac
 
-  # Accept the important Cygnus configure options, so we can diagnose typos.
-
   case $ac_dashdash$ac_option in
   --)
     ac_dashdash=yes ;;
@@ -748,9 +782,9 @@ do
     ac_useropt=`expr "x$ac_option" : 'x-*disable-\(.*\)'`
     # Reject names that are not valid shell variable names.
     expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null &&
-      as_fn_error $? "invalid feature name: $ac_useropt"
+      as_fn_error $? "invalid feature name: \`$ac_useropt'"
     ac_useropt_orig=$ac_useropt
-    ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'`
+    ac_useropt=`printf "%s\n" "$ac_useropt" | sed 's/[-+.]/_/g'`
     case $ac_user_opts in
       *"
 "enable_$ac_useropt"
@@ -774,9 +808,9 @@ do
     ac_useropt=`expr "x$ac_option" : 'x-*enable-\([^=]*\)'`
     # Reject names that are not valid shell variable names.
     expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null &&
-      as_fn_error $? "invalid feature name: $ac_useropt"
+      as_fn_error $? "invalid feature name: \`$ac_useropt'"
     ac_useropt_orig=$ac_useropt
-    ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'`
+    ac_useropt=`printf "%s\n" "$ac_useropt" | sed 's/[-+.]/_/g'`
     case $ac_user_opts in
       *"
 "enable_$ac_useropt"
@@ -929,6 +963,15 @@ do
   | -silent | --silent | --silen | --sile | --sil)
     silent=yes ;;
 
+  -runstatedir | --runstatedir | --runstatedi | --runstated \
+  | --runstate | --runstat | --runsta | --runst | --runs \
+  | --run | --ru | --r)
+    ac_prev=runstatedir ;;
+  -runstatedir=* | --runstatedir=* | --runstatedi=* | --runstated=* \
+  | --runstate=* | --runstat=* | --runsta=* | --runst=* | --runs=* \
+  | --run=* | --ru=* | --r=*)
+    runstatedir=$ac_optarg ;;
+
   -sbindir | --sbindir | --sbindi | --sbind | --sbin | --sbi | --sb)
     ac_prev=sbindir ;;
   -sbindir=* | --sbindir=* | --sbindi=* | --sbind=* | --sbin=* \
@@ -978,9 +1021,9 @@ do
     ac_useropt=`expr "x$ac_option" : 'x-*with-\([^=]*\)'`
     # Reject names that are not valid shell variable names.
     expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null &&
-      as_fn_error $? "invalid package name: $ac_useropt"
+      as_fn_error $? "invalid package name: \`$ac_useropt'"
     ac_useropt_orig=$ac_useropt
-    ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'`
+    ac_useropt=`printf "%s\n" "$ac_useropt" | sed 's/[-+.]/_/g'`
     case $ac_user_opts in
       *"
 "with_$ac_useropt"
@@ -994,9 +1037,9 @@ do
     ac_useropt=`expr "x$ac_option" : 'x-*without-\(.*\)'`
     # Reject names that are not valid shell variable names.
     expr "x$ac_useropt" : ".*[^-+._$as_cr_alnum]" >/dev/null &&
-      as_fn_error $? "invalid package name: $ac_useropt"
+      as_fn_error $? "invalid package name: \`$ac_useropt'"
     ac_useropt_orig=$ac_useropt
-    ac_useropt=`$as_echo "$ac_useropt" | sed 's/[-+.]/_/g'`
+    ac_useropt=`printf "%s\n" "$ac_useropt" | sed 's/[-+.]/_/g'`
     case $ac_user_opts in
       *"
 "with_$ac_useropt"
@@ -1040,9 +1083,9 @@ Try \`$0 --help' for more information"
 
   *)
     # FIXME: should be removed in autoconf 3.0.
-    $as_echo "$as_me: WARNING: you should use --build, --host, --target" >&2
+    printf "%s\n" "$as_me: WARNING: you should use --build, --host, --target" >&2
     expr "x$ac_option" : ".*[^-._$as_cr_alnum]" >/dev/null &&
-      $as_echo "$as_me: WARNING: invalid host type: $ac_option" >&2
+      printf "%s\n" "$as_me: WARNING: invalid host type: $ac_option" >&2
     : "${build_alias=$ac_option} ${host_alias=$ac_option} ${target_alias=$ac_option}"
     ;;
 
@@ -1058,7 +1101,7 @@ if test -n "$ac_unrecognized_opts"; then
   case $enable_option_checking in
     no) ;;
     fatal) as_fn_error $? "unrecognized options: $ac_unrecognized_opts" ;;
-    *)     $as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2 ;;
+    *)     printf "%s\n" "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2 ;;
   esac
 fi
 
@@ -1066,7 +1109,7 @@ fi
 for ac_var in	exec_prefix prefix bindir sbindir libexecdir datarootdir \
 		datadir sysconfdir sharedstatedir localstatedir includedir \
 		oldincludedir docdir infodir htmldir dvidir pdfdir psdir \
-		libdir localedir mandir
+		libdir localedir mandir runstatedir
 do
   eval ac_val=\$$ac_var
   # Remove trailing slashes.
@@ -1122,7 +1165,7 @@ $as_expr X"$as_myself" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \
 	 X"$as_myself" : 'X\(//\)[^/]' \| \
 	 X"$as_myself" : 'X\(//\)$' \| \
 	 X"$as_myself" : 'X\(/\)' \| . 2>/dev/null ||
-$as_echo X"$as_myself" |
+printf "%s\n" X"$as_myself" |
     sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{
 	    s//\1/
 	    q
@@ -1219,6 +1262,7 @@ Fine tuning of the installation directories:
   --sysconfdir=DIR        read-only single-machine data [PREFIX/etc]
   --sharedstatedir=DIR    modifiable architecture-independent data [PREFIX/com]
   --localstatedir=DIR     modifiable single-machine data [PREFIX/var]
+  --runstatedir=DIR       modifiable per-process data [LOCALSTATEDIR/run]
   --libdir=DIR            object code libraries [EPREFIX/lib]
   --includedir=DIR        C header files [PREFIX/include]
   --oldincludedir=DIR     C header files for non-gcc [/usr/include]
@@ -1251,6 +1295,8 @@ Optional Packages:
                           Specify the size of the derivative backing array
   --with-libtorch[=ARG]   Specify if libtorch support should be enabled
                           [ARG=yes or libtorch directory]
+  --with-mfem[=ARG]       Specify if mfem support should be enabled [ARG=yes
+                          or mfem directory]
 
 Report bugs to <https://github.com/idaholab/moose/discussions>.
 moose home page: <https://mooseframework.org>.
@@ -1269,9 +1315,9 @@ if test "$ac_init_help" = "recursive"; then
 case "$ac_dir" in
 .) ac_dir_suffix= ac_top_builddir_sub=. ac_top_build_prefix= ;;
 *)
-  ac_dir_suffix=/`$as_echo "$ac_dir" | sed 's|^\.[\\/]||'`
+  ac_dir_suffix=/`printf "%s\n" "$ac_dir" | sed 's|^\.[\\/]||'`
   # A ".." for each directory in $ac_dir_suffix.
-  ac_top_builddir_sub=`$as_echo "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'`
+  ac_top_builddir_sub=`printf "%s\n" "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'`
   case $ac_top_builddir_sub in
   "") ac_top_builddir_sub=. ac_top_build_prefix= ;;
   *)  ac_top_build_prefix=$ac_top_builddir_sub/ ;;
@@ -1299,7 +1345,8 @@ esac
 ac_abs_srcdir=$ac_abs_top_srcdir$ac_dir_suffix
 
     cd "$ac_dir" || { ac_status=$?; continue; }
-    # Check for guested configure.
+    # Check for configure.gnu first; this name is used for a wrapper for
+    # Metaconfig's "Configure" on case-insensitive file systems.
     if test -f "$ac_srcdir/configure.gnu"; then
       echo &&
       $SHELL "$ac_srcdir/configure.gnu" --help=recursive
@@ -1307,7 +1354,7 @@ ac_abs_srcdir=$ac_abs_top_srcdir$ac_dir_suffix
       echo &&
       $SHELL "$ac_srcdir/configure" --help=recursive
     else
-      $as_echo "$as_me: WARNING: no configuration information is in $ac_dir" >&2
+      printf "%s\n" "$as_me: WARNING: no configuration information is in $ac_dir" >&2
     fi || ac_status=$?
     cd "$ac_pwd" || { ac_status=$?; break; }
   done
@@ -1317,9 +1364,9 @@ test -n "$ac_init_help" && exit $ac_status
 if $ac_init_version; then
   cat <<\_ACEOF
 moose configure 0.9.0
-generated by GNU Autoconf 2.69
+generated by GNU Autoconf 2.71
 
-Copyright (C) 2012 Free Software Foundation, Inc.
+Copyright (C) 2021 Free Software Foundation, Inc.
 This configure script is free software; the Free Software Foundation
 gives unlimited permission to copy, distribute and modify it.
 _ACEOF
@@ -1329,14 +1376,34 @@ fi
 ## ------------------------ ##
 ## Autoconf initialization. ##
 ## ------------------------ ##
+ac_configure_args_raw=
+for ac_arg
+do
+  case $ac_arg in
+  *\'*)
+    ac_arg=`printf "%s\n" "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;;
+  esac
+  as_fn_append ac_configure_args_raw " '$ac_arg'"
+done
+
+case $ac_configure_args_raw in
+  *$as_nl*)
+    ac_safe_unquote= ;;
+  *)
+    ac_unsafe_z='|&;<>()$`\\"*?[ ''	' # This string ends in space, tab.
+    ac_unsafe_a="$ac_unsafe_z#~"
+    ac_safe_unquote="s/ '\\([^$ac_unsafe_a][^$ac_unsafe_z]*\\)'/ \\1/g"
+    ac_configure_args_raw=`      printf "%s\n" "$ac_configure_args_raw" | sed "$ac_safe_unquote"`;;
+esac
+
 cat >config.log <<_ACEOF
 This file contains any messages produced by compilers while
 running configure, to aid debugging if configure makes a mistake.
 
 It was created by moose $as_me 0.9.0, which was
-generated by GNU Autoconf 2.69.  Invocation command line was
+generated by GNU Autoconf 2.71.  Invocation command line was
 
-  $ $0 $@
+  $ $0$ac_configure_args_raw
 
 _ACEOF
 exec 5>>config.log
@@ -1369,8 +1436,12 @@ as_save_IFS=$IFS; IFS=$PATH_SEPARATOR
 for as_dir in $PATH
 do
   IFS=$as_save_IFS
-  test -z "$as_dir" && as_dir=.
-    $as_echo "PATH: $as_dir"
+  case $as_dir in #(((
+    '') as_dir=./ ;;
+    */) ;;
+    *) as_dir=$as_dir/ ;;
+  esac
+    printf "%s\n" "PATH: $as_dir"
   done
 IFS=$as_save_IFS
 
@@ -1405,7 +1476,7 @@ do
     | -silent | --silent | --silen | --sile | --sil)
       continue ;;
     *\'*)
-      ac_arg=`$as_echo "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;;
+      ac_arg=`printf "%s\n" "$ac_arg" | sed "s/'/'\\\\\\\\''/g"` ;;
     esac
     case $ac_pass in
     1) as_fn_append ac_configure_args0 " '$ac_arg'" ;;
@@ -1440,11 +1511,13 @@ done
 # WARNING: Use '\'' to represent an apostrophe within the trap.
 # WARNING: Do not start the trap code with a newline, due to a FreeBSD 4.0 bug.
 trap 'exit_status=$?
+  # Sanitize IFS.
+  IFS=" ""	$as_nl"
   # Save into config.log some information that might help in debugging.
   {
     echo
 
-    $as_echo "## ---------------- ##
+    printf "%s\n" "## ---------------- ##
 ## Cache variables. ##
 ## ---------------- ##"
     echo
@@ -1455,8 +1528,8 @@ trap 'exit_status=$?
     case $ac_val in #(
     *${as_nl}*)
       case $ac_var in #(
-      *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5
-$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;;
+      *_cv_*) { printf "%s\n" "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5
+printf "%s\n" "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;;
       esac
       case $ac_var in #(
       _ | IFS | as_nl) ;; #(
@@ -1480,7 +1553,7 @@ $as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;;
 )
     echo
 
-    $as_echo "## ----------------- ##
+    printf "%s\n" "## ----------------- ##
 ## Output variables. ##
 ## ----------------- ##"
     echo
@@ -1488,14 +1561,14 @@ $as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;;
     do
       eval ac_val=\$$ac_var
       case $ac_val in
-      *\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;;
+      *\'\''*) ac_val=`printf "%s\n" "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;;
       esac
-      $as_echo "$ac_var='\''$ac_val'\''"
+      printf "%s\n" "$ac_var='\''$ac_val'\''"
     done | sort
     echo
 
     if test -n "$ac_subst_files"; then
-      $as_echo "## ------------------- ##
+      printf "%s\n" "## ------------------- ##
 ## File substitutions. ##
 ## ------------------- ##"
       echo
@@ -1503,15 +1576,15 @@ $as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;;
       do
 	eval ac_val=\$$ac_var
 	case $ac_val in
-	*\'\''*) ac_val=`$as_echo "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;;
+	*\'\''*) ac_val=`printf "%s\n" "$ac_val" | sed "s/'\''/'\''\\\\\\\\'\'''\''/g"`;;
 	esac
-	$as_echo "$ac_var='\''$ac_val'\''"
+	printf "%s\n" "$ac_var='\''$ac_val'\''"
       done | sort
       echo
     fi
 
     if test -s confdefs.h; then
-      $as_echo "## ----------- ##
+      printf "%s\n" "## ----------- ##
 ## confdefs.h. ##
 ## ----------- ##"
       echo
@@ -1519,8 +1592,8 @@ $as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;;
       echo
     fi
     test "$ac_signal" != 0 &&
-      $as_echo "$as_me: caught signal $ac_signal"
-    $as_echo "$as_me: exit $exit_status"
+      printf "%s\n" "$as_me: caught signal $ac_signal"
+    printf "%s\n" "$as_me: exit $exit_status"
   } >&5
   rm -f core *.core core.conftest.* &&
     rm -f -r conftest* confdefs* conf$$* $ac_clean_files &&
@@ -1534,63 +1607,48 @@ ac_signal=0
 # confdefs.h avoids OS command line length limits that DEFS can exceed.
 rm -f -r conftest* confdefs.h
 
-$as_echo "/* confdefs.h */" > confdefs.h
+printf "%s\n" "/* confdefs.h */" > confdefs.h
 
 # Predefined preprocessor variables.
 
-cat >>confdefs.h <<_ACEOF
-#define PACKAGE_NAME "$PACKAGE_NAME"
-_ACEOF
+printf "%s\n" "#define PACKAGE_NAME \"$PACKAGE_NAME\"" >>confdefs.h
 
-cat >>confdefs.h <<_ACEOF
-#define PACKAGE_TARNAME "$PACKAGE_TARNAME"
-_ACEOF
+printf "%s\n" "#define PACKAGE_TARNAME \"$PACKAGE_TARNAME\"" >>confdefs.h
 
-cat >>confdefs.h <<_ACEOF
-#define PACKAGE_VERSION "$PACKAGE_VERSION"
-_ACEOF
+printf "%s\n" "#define PACKAGE_VERSION \"$PACKAGE_VERSION\"" >>confdefs.h
 
-cat >>confdefs.h <<_ACEOF
-#define PACKAGE_STRING "$PACKAGE_STRING"
-_ACEOF
+printf "%s\n" "#define PACKAGE_STRING \"$PACKAGE_STRING\"" >>confdefs.h
 
-cat >>confdefs.h <<_ACEOF
-#define PACKAGE_BUGREPORT "$PACKAGE_BUGREPORT"
-_ACEOF
+printf "%s\n" "#define PACKAGE_BUGREPORT \"$PACKAGE_BUGREPORT\"" >>confdefs.h
 
-cat >>confdefs.h <<_ACEOF
-#define PACKAGE_URL "$PACKAGE_URL"
-_ACEOF
+printf "%s\n" "#define PACKAGE_URL \"$PACKAGE_URL\"" >>confdefs.h
 
 
 # Let the site file select an alternate cache file if it wants to.
 # Prefer an explicitly selected file to automatically selected ones.
-ac_site_file1=NONE
-ac_site_file2=NONE
 if test -n "$CONFIG_SITE"; then
-  # We do not want a PATH search for config.site.
-  case $CONFIG_SITE in #((
-    -*)  ac_site_file1=./$CONFIG_SITE;;
-    */*) ac_site_file1=$CONFIG_SITE;;
-    *)   ac_site_file1=./$CONFIG_SITE;;
-  esac
+  ac_site_files="$CONFIG_SITE"
 elif test "x$prefix" != xNONE; then
-  ac_site_file1=$prefix/share/config.site
-  ac_site_file2=$prefix/etc/config.site
+  ac_site_files="$prefix/share/config.site $prefix/etc/config.site"
 else
-  ac_site_file1=$ac_default_prefix/share/config.site
-  ac_site_file2=$ac_default_prefix/etc/config.site
+  ac_site_files="$ac_default_prefix/share/config.site $ac_default_prefix/etc/config.site"
 fi
-for ac_site_file in "$ac_site_file1" "$ac_site_file2"
+
+for ac_site_file in $ac_site_files
 do
-  test "x$ac_site_file" = xNONE && continue
-  if test /dev/null != "$ac_site_file" && test -r "$ac_site_file"; then
-    { $as_echo "$as_me:${as_lineno-$LINENO}: loading site script $ac_site_file" >&5
-$as_echo "$as_me: loading site script $ac_site_file" >&6;}
+  case $ac_site_file in #(
+  */*) :
+     ;; #(
+  *) :
+    ac_site_file=./$ac_site_file ;;
+esac
+  if test -f "$ac_site_file" && test -r "$ac_site_file"; then
+    { printf "%s\n" "$as_me:${as_lineno-$LINENO}: loading site script $ac_site_file" >&5
+printf "%s\n" "$as_me: loading site script $ac_site_file" >&6;}
     sed 's/^/| /' "$ac_site_file" >&5
     . "$ac_site_file" \
-      || { { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5
-$as_echo "$as_me: error: in \`$ac_pwd':" >&2;}
+      || { { printf "%s\n" "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5
+printf "%s\n" "$as_me: error: in \`$ac_pwd':" >&2;}
 as_fn_error $? "failed to load site script $ac_site_file
 See \`config.log' for more details" "$LINENO" 5; }
   fi
@@ -1600,16 +1658,16 @@ if test -r "$cache_file"; then
   # Some versions of bash will fail to source /dev/null (special files
   # actually), so we avoid doing that.  DJGPP emulates it as a regular file.
   if test /dev/null != "$cache_file" && test -f "$cache_file"; then
-    { $as_echo "$as_me:${as_lineno-$LINENO}: loading cache $cache_file" >&5
-$as_echo "$as_me: loading cache $cache_file" >&6;}
+    { printf "%s\n" "$as_me:${as_lineno-$LINENO}: loading cache $cache_file" >&5
+printf "%s\n" "$as_me: loading cache $cache_file" >&6;}
     case $cache_file in
       [\\/]* | ?:[\\/]* ) . "$cache_file";;
       *)                      . "./$cache_file";;
     esac
   fi
 else
-  { $as_echo "$as_me:${as_lineno-$LINENO}: creating cache $cache_file" >&5
-$as_echo "$as_me: creating cache $cache_file" >&6;}
+  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: creating cache $cache_file" >&5
+printf "%s\n" "$as_me: creating cache $cache_file" >&6;}
   >$cache_file
 fi
 
@@ -1623,12 +1681,12 @@ for ac_var in $ac_precious_vars; do
   eval ac_new_val=\$ac_env_${ac_var}_value
   case $ac_old_set,$ac_new_set in
     set,)
-      { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5
-$as_echo "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;}
+      { printf "%s\n" "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&5
+printf "%s\n" "$as_me: error: \`$ac_var' was set to \`$ac_old_val' in the previous run" >&2;}
       ac_cache_corrupted=: ;;
     ,set)
-      { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was not set in the previous run" >&5
-$as_echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;}
+      { printf "%s\n" "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' was not set in the previous run" >&5
+printf "%s\n" "$as_me: error: \`$ac_var' was not set in the previous run" >&2;}
       ac_cache_corrupted=: ;;
     ,);;
     *)
@@ -1637,24 +1695,24 @@ $as_echo "$as_me: error: \`$ac_var' was not set in the previous run" >&2;}
 	ac_old_val_w=`echo x $ac_old_val`
 	ac_new_val_w=`echo x $ac_new_val`
 	if test "$ac_old_val_w" != "$ac_new_val_w"; then
-	  { $as_echo "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' has changed since the previous run:" >&5
-$as_echo "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;}
+	  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: error: \`$ac_var' has changed since the previous run:" >&5
+printf "%s\n" "$as_me: error: \`$ac_var' has changed since the previous run:" >&2;}
 	  ac_cache_corrupted=:
 	else
-	  { $as_echo "$as_me:${as_lineno-$LINENO}: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&5
-$as_echo "$as_me: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&2;}
+	  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&5
+printf "%s\n" "$as_me: warning: ignoring whitespace changes in \`$ac_var' since the previous run:" >&2;}
 	  eval $ac_var=\$ac_old_val
 	fi
-	{ $as_echo "$as_me:${as_lineno-$LINENO}:   former value:  \`$ac_old_val'" >&5
-$as_echo "$as_me:   former value:  \`$ac_old_val'" >&2;}
-	{ $as_echo "$as_me:${as_lineno-$LINENO}:   current value: \`$ac_new_val'" >&5
-$as_echo "$as_me:   current value: \`$ac_new_val'" >&2;}
+	{ printf "%s\n" "$as_me:${as_lineno-$LINENO}:   former value:  \`$ac_old_val'" >&5
+printf "%s\n" "$as_me:   former value:  \`$ac_old_val'" >&2;}
+	{ printf "%s\n" "$as_me:${as_lineno-$LINENO}:   current value: \`$ac_new_val'" >&5
+printf "%s\n" "$as_me:   current value: \`$ac_new_val'" >&2;}
       fi;;
   esac
   # Pass precious variables to config.status.
   if test "$ac_new_set" = set; then
     case $ac_new_val in
-    *\'*) ac_arg=$ac_var=`$as_echo "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;;
+    *\'*) ac_arg=$ac_var=`printf "%s\n" "$ac_new_val" | sed "s/'/'\\\\\\\\''/g"` ;;
     *) ac_arg=$ac_var=$ac_new_val ;;
     esac
     case " $ac_configure_args " in
@@ -1664,11 +1722,12 @@ $as_echo "$as_me:   current value: \`$ac_new_val'" >&2;}
   fi
 done
 if $ac_cache_corrupted; then
-  { $as_echo "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5
-$as_echo "$as_me: error: in \`$ac_pwd':" >&2;}
-  { $as_echo "$as_me:${as_lineno-$LINENO}: error: changes in the environment can compromise the build" >&5
-$as_echo "$as_me: error: changes in the environment can compromise the build" >&2;}
-  as_fn_error $? "run \`make distclean' and/or \`rm $cache_file' and start over" "$LINENO" 5
+  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: error: in \`$ac_pwd':" >&5
+printf "%s\n" "$as_me: error: in \`$ac_pwd':" >&2;}
+  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: error: changes in the environment can compromise the build" >&5
+printf "%s\n" "$as_me: error: changes in the environment can compromise the build" >&2;}
+  as_fn_error $? "run \`${MAKE-make} distclean' and/or \`rm $cache_file'
+	    and start over" "$LINENO" 5
 fi
 ## -------------------- ##
 ## Main body of script. ##
@@ -1698,12 +1757,12 @@ ac_pwd_ls_di=`cd "$ac_pwd" && ls -di .` ||
 test "X$ac_top_srcdir_ls_di" = "X$ac_pwd_ls_di" ||
   as_fn_error $? "MOOSE configure must be run from the root directory"
 
-{ $as_echo "$as_me:${as_lineno-$LINENO}: result: ---------------------------------------------" >&5
-$as_echo "---------------------------------------------" >&6; }
-{ $as_echo "$as_me:${as_lineno-$LINENO}: result: ----------- Configuring MOOSE ---------------" >&5
-$as_echo "----------- Configuring MOOSE ---------------" >&6; }
-{ $as_echo "$as_me:${as_lineno-$LINENO}: result: ---------------------------------------------" >&5
-$as_echo "---------------------------------------------" >&6; }
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: ---------------------------------------------" >&5
+printf "%s\n" "---------------------------------------------" >&6; }
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: ----------- Configuring MOOSE ---------------" >&5
+printf "%s\n" "----------- Configuring MOOSE ---------------" >&6; }
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: ---------------------------------------------" >&5
+printf "%s\n" "---------------------------------------------" >&6; }
 
 
 
@@ -1717,69 +1776,112 @@ ac_config_commands="$ac_config_commands framework/include/base/MooseConfig.h"
 
 
 # Check whether --with-derivative-size was given.
-if test "${with_derivative_size+set}" = set; then :
+if test ${with_derivative_size+y}
+then :
   withval=$with_derivative_size; derivative_size="$withval"
-else
+else $as_nop
   derivative_size=64
 fi
 
 
 
-cat >>confdefs.h <<_ACEOF
-#define AD_MAX_DOFS_PER_ELEM $derivative_size
-_ACEOF
+printf "%s\n" "#define AD_MAX_DOFS_PER_ELEM $derivative_size" >>confdefs.h
 
 
-{ $as_echo "$as_me:${as_lineno-$LINENO}: result: configuring with derivative backing array size of $derivative_size" >&5
-$as_echo "configuring with derivative backing array size of $derivative_size" >&6; }
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: configuring with derivative backing array size of $derivative_size" >&5
+printf "%s\n" "configuring with derivative backing array size of $derivative_size" >&6; }
 
 
 # Check whether --with-libtorch was given.
-if test "${with_libtorch+set}" = set; then :
+if test ${with_libtorch+y}
+then :
   withval=$with_libtorch; libtorch_support=yes libtorch_library="$withval"
-else
+else $as_nop
   libtorch_support=no
 fi
 
 
-{ $as_echo "$as_me:${as_lineno-$LINENO}: result: configuring with libtorch support: $libtorch_support" >&5
-$as_echo "configuring with libtorch support: $libtorch_support" >&6; }
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: configuring with libtorch support: $libtorch_support" >&5
+printf "%s\n" "configuring with libtorch support: $libtorch_support" >&6; }
 
-if test "$libtorch_support" = yes; then :
+if test "$libtorch_support" = yes
+then :
 
 
-$as_echo "#define LIBTORCH_ENABLED 1" >>confdefs.h
+printf "%s\n" "#define LIBTORCH_ENABLED 1" >>confdefs.h
 
         libtorch_support=true
 
-        if test "$libtorch_library" = yes; then :
+        if test "$libtorch_library" = yes
+then :
 
-                    if test "${LIBTORCH_DIR+set}" = set; then :
+                    if test "${LIBTORCH_DIR+set}" = set
+then :
   libtorch_library="${LIBTORCH_DIR}"
-else
+else $as_nop
   libtorch_library="$ac_pwd/framework/contrib/libtorch"
 fi
 
 fi
 
-cat >>confdefs.h <<_ACEOF
-#define LIBTORCH_DIR $libtorch_library
-_ACEOF
+printf "%s\n" "#define LIBTORCH_DIR $libtorch_library" >>confdefs.h
 
 
-        { $as_echo "$as_me:${as_lineno-$LINENO}: result: Libtorch library path: $libtorch_library" >&5
-$as_echo "Libtorch library path: $libtorch_library" >&6; }
+        { printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: Libtorch library path: $libtorch_library" >&5
+printf "%s\n" "Libtorch library path: $libtorch_library" >&6; }
+
+fi
+
+
+# Check whether --with-mfem was given.
+if test ${with_mfem+y}
+then :
+  withval=$with_mfem; mfem_support=yes mfem_library="$withval"
+else $as_nop
+  mfem_support=no
+fi
+
+
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: configuring with mfem support: $mfem_support" >&5
+printf "%s\n" "configuring with mfem support: $mfem_support" >&6; }
+
+if test "$mfem_support" = yes
+then :
+
+
+printf "%s\n" "#define MFEM_ENABLED 1" >>confdefs.h
+
+        mfem_support=true
+
+        if test "$mfem_library" = yes
+then :
+
+                    if test "${MFEM_DIR+set}" = set
+then :
+  mfem_library="${MFEM_DIR}"
+else $as_nop
+  mfem_library="$ac_pwd/framework/contrib/mfem"
+fi
+
+fi
+
+printf "%s\n" "#define MFEM_DIR $mfem_library" >>confdefs.h
+
+
+        { printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: MFEM library path: $mfem_library" >&5
+printf "%s\n" "MFEM library path: $mfem_library" >&6; }
 
 fi
 
 if test -n "$ac_tool_prefix"; then
   # Extract the first word of "${ac_tool_prefix}pkg-config", so it can be a program name with args.
 set dummy ${ac_tool_prefix}pkg-config; ac_word=$2
-{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5
-$as_echo_n "checking for $ac_word... " >&6; }
-if ${ac_cv_path_PKG_CONFIG+:} false; then :
-  $as_echo_n "(cached) " >&6
-else
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5
+printf %s "checking for $ac_word... " >&6; }
+if test ${ac_cv_path_PKG_CONFIG+y}
+then :
+  printf %s "(cached) " >&6
+else $as_nop
   case $PKG_CONFIG in
   [\\/]* | ?:[\\/]*)
   ac_cv_path_PKG_CONFIG="$PKG_CONFIG" # Let the user override the test with a path.
@@ -1789,11 +1891,15 @@ else
 for as_dir in $PATH
 do
   IFS=$as_save_IFS
-  test -z "$as_dir" && as_dir=.
+  case $as_dir in #(((
+    '') as_dir=./ ;;
+    */) ;;
+    *) as_dir=$as_dir/ ;;
+  esac
     for ac_exec_ext in '' $ac_executable_extensions; do
-  if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
-    ac_cv_path_PKG_CONFIG="$as_dir/$ac_word$ac_exec_ext"
-    $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5
+  if as_fn_executable_p "$as_dir$ac_word$ac_exec_ext"; then
+    ac_cv_path_PKG_CONFIG="$as_dir$ac_word$ac_exec_ext"
+    printf "%s\n" "$as_me:${as_lineno-$LINENO}: found $as_dir$ac_word$ac_exec_ext" >&5
     break 2
   fi
 done
@@ -1805,11 +1911,11 @@ esac
 fi
 PKG_CONFIG=$ac_cv_path_PKG_CONFIG
 if test -n "$PKG_CONFIG"; then
-  { $as_echo "$as_me:${as_lineno-$LINENO}: result: $PKG_CONFIG" >&5
-$as_echo "$PKG_CONFIG" >&6; }
+  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: $PKG_CONFIG" >&5
+printf "%s\n" "$PKG_CONFIG" >&6; }
 else
-  { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5
-$as_echo "no" >&6; }
+  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: no" >&5
+printf "%s\n" "no" >&6; }
 fi
 
 
@@ -1818,11 +1924,12 @@ if test -z "$ac_cv_path_PKG_CONFIG"; then
   ac_pt_PKG_CONFIG=$PKG_CONFIG
   # Extract the first word of "pkg-config", so it can be a program name with args.
 set dummy pkg-config; ac_word=$2
-{ $as_echo "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5
-$as_echo_n "checking for $ac_word... " >&6; }
-if ${ac_cv_path_ac_pt_PKG_CONFIG+:} false; then :
-  $as_echo_n "(cached) " >&6
-else
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: checking for $ac_word" >&5
+printf %s "checking for $ac_word... " >&6; }
+if test ${ac_cv_path_ac_pt_PKG_CONFIG+y}
+then :
+  printf %s "(cached) " >&6
+else $as_nop
   case $ac_pt_PKG_CONFIG in
   [\\/]* | ?:[\\/]*)
   ac_cv_path_ac_pt_PKG_CONFIG="$ac_pt_PKG_CONFIG" # Let the user override the test with a path.
@@ -1832,11 +1939,15 @@ else
 for as_dir in $PATH
 do
   IFS=$as_save_IFS
-  test -z "$as_dir" && as_dir=.
+  case $as_dir in #(((
+    '') as_dir=./ ;;
+    */) ;;
+    *) as_dir=$as_dir/ ;;
+  esac
     for ac_exec_ext in '' $ac_executable_extensions; do
-  if as_fn_executable_p "$as_dir/$ac_word$ac_exec_ext"; then
-    ac_cv_path_ac_pt_PKG_CONFIG="$as_dir/$ac_word$ac_exec_ext"
-    $as_echo "$as_me:${as_lineno-$LINENO}: found $as_dir/$ac_word$ac_exec_ext" >&5
+  if as_fn_executable_p "$as_dir$ac_word$ac_exec_ext"; then
+    ac_cv_path_ac_pt_PKG_CONFIG="$as_dir$ac_word$ac_exec_ext"
+    printf "%s\n" "$as_me:${as_lineno-$LINENO}: found $as_dir$ac_word$ac_exec_ext" >&5
     break 2
   fi
 done
@@ -1848,11 +1959,11 @@ esac
 fi
 ac_pt_PKG_CONFIG=$ac_cv_path_ac_pt_PKG_CONFIG
 if test -n "$ac_pt_PKG_CONFIG"; then
-  { $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_pt_PKG_CONFIG" >&5
-$as_echo "$ac_pt_PKG_CONFIG" >&6; }
+  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: $ac_pt_PKG_CONFIG" >&5
+printf "%s\n" "$ac_pt_PKG_CONFIG" >&6; }
 else
-  { $as_echo "$as_me:${as_lineno-$LINENO}: result: no" >&5
-$as_echo "no" >&6; }
+  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: no" >&5
+printf "%s\n" "no" >&6; }
 fi
 
   if test "x$ac_pt_PKG_CONFIG" = x; then
@@ -1860,8 +1971,8 @@ fi
   else
     case $cross_compiling:$ac_tool_warned in
 yes:)
-{ $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5
-$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;}
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: WARNING: using cross tools not prefixed with host triplet" >&5
+printf "%s\n" "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;}
 ac_tool_warned=yes ;;
 esac
     PKG_CONFIG=$ac_pt_PKG_CONFIG
@@ -1873,19 +1984,19 @@ fi
 if test x$PKG_CONFIG != x; then
 
   if $PKG_CONFIG --exists libpng; then
-     { $as_echo "$as_me:${as_lineno-$LINENO}: checking system for libpng" >&5
-$as_echo "$as_me: checking system for libpng" >&6;}
+     { printf "%s\n" "$as_me:${as_lineno-$LINENO}: checking system for libpng" >&5
+printf "%s\n" "$as_me: checking system for libpng" >&6;}
      LIBPNG_LIBS=`$PKG_CONFIG --libs libpng`
      LIBPNG_INCLUDES=`$PKG_CONFIG --cflags-only-I libpng`
 
 
-$as_echo "#define HAVE_LIBPNG 1" >>confdefs.h
+printf "%s\n" "#define HAVE_LIBPNG 1" >>confdefs.h
 
-     { $as_echo "$as_me:${as_lineno-$LINENO}: result: configuring with libpng support" >&5
-$as_echo "configuring with libpng support" >&6; }
+     { printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: configuring with libpng support" >&5
+printf "%s\n" "configuring with libpng support" >&6; }
   else
-     { $as_echo "$as_me:${as_lineno-$LINENO}: result: configuring without libpng support" >&5
-$as_echo "configuring without libpng support" >&6; }
+     { printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: configuring without libpng support" >&5
+printf "%s\n" "configuring without libpng support" >&6; }
   fi
 fi
 
@@ -1925,8 +2036,8 @@ _ACEOF
     case $ac_val in #(
     *${as_nl}*)
       case $ac_var in #(
-      *_cv_*) { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5
-$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;;
+      *_cv_*) { printf "%s\n" "$as_me:${as_lineno-$LINENO}: WARNING: cache variable $ac_var contains a newline" >&5
+printf "%s\n" "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;;
       esac
       case $ac_var in #(
       _ | IFS | as_nl) ;; #(
@@ -1956,15 +2067,15 @@ $as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;;
      /^ac_cv_env_/b end
      t clear
      :clear
-     s/^\([^=]*\)=\(.*[{}].*\)$/test "${\1+set}" = set || &/
+     s/^\([^=]*\)=\(.*[{}].*\)$/test ${\1+y} || &/
      t end
      s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/
      :end' >>confcache
 if diff "$cache_file" confcache >/dev/null 2>&1; then :; else
   if test -w "$cache_file"; then
     if test "x$cache_file" != "x/dev/null"; then
-      { $as_echo "$as_me:${as_lineno-$LINENO}: updating cache $cache_file" >&5
-$as_echo "$as_me: updating cache $cache_file" >&6;}
+      { printf "%s\n" "$as_me:${as_lineno-$LINENO}: updating cache $cache_file" >&5
+printf "%s\n" "$as_me: updating cache $cache_file" >&6;}
       if test ! -f "$cache_file" || test -h "$cache_file"; then
 	cat confcache >"$cache_file"
       else
@@ -1978,8 +2089,8 @@ $as_echo "$as_me: updating cache $cache_file" >&6;}
       fi
     fi
   else
-    { $as_echo "$as_me:${as_lineno-$LINENO}: not updating unwritable cache $cache_file" >&5
-$as_echo "$as_me: not updating unwritable cache $cache_file" >&6;}
+    { printf "%s\n" "$as_me:${as_lineno-$LINENO}: not updating unwritable cache $cache_file" >&5
+printf "%s\n" "$as_me: not updating unwritable cache $cache_file" >&6;}
   fi
 fi
 rm -f confcache
@@ -1996,7 +2107,7 @@ U=
 for ac_i in : $LIBOBJS; do test "x$ac_i" = x: && continue
   # 1. Remove the extension, and $U if already installed.
   ac_script='s/\$U\././;s/\.o$//;s/\.obj$//'
-  ac_i=`$as_echo "$ac_i" | sed "$ac_script"`
+  ac_i=`printf "%s\n" "$ac_i" | sed "$ac_script"`
   # 2. Prepend LIBOBJDIR.  When used with automake>=1.10 LIBOBJDIR
   #    will be set to the directory where LIBOBJS objects are built.
   as_fn_append ac_libobjs " \${LIBOBJDIR}$ac_i\$U.$ac_objext"
@@ -2012,8 +2123,8 @@ LTLIBOBJS=$ac_ltlibobjs
 ac_write_fail=0
 ac_clean_files_save=$ac_clean_files
 ac_clean_files="$ac_clean_files $CONFIG_STATUS"
-{ $as_echo "$as_me:${as_lineno-$LINENO}: creating $CONFIG_STATUS" >&5
-$as_echo "$as_me: creating $CONFIG_STATUS" >&6;}
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: creating $CONFIG_STATUS" >&5
+printf "%s\n" "$as_me: creating $CONFIG_STATUS" >&6;}
 as_write_fail=0
 cat >$CONFIG_STATUS <<_ASEOF || as_write_fail=1
 #! $SHELL
@@ -2036,14 +2147,16 @@ cat >>$CONFIG_STATUS <<\_ASEOF || as_write_fail=1
 
 # Be more Bourne compatible
 DUALCASE=1; export DUALCASE # for MKS sh
-if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then :
+as_nop=:
+if test ${ZSH_VERSION+y} && (emulate sh) >/dev/null 2>&1
+then :
   emulate sh
   NULLCMD=:
   # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which
   # is contrary to our usage.  Disable this feature.
   alias -g '${1+"$@"}'='"$@"'
   setopt NO_GLOB_SUBST
-else
+else $as_nop
   case `(set -o) 2>/dev/null` in #(
   *posix*) :
     set -o posix ;; #(
@@ -2053,46 +2166,46 @@ esac
 fi
 
 
+
+# Reset variables that may have inherited troublesome values from
+# the environment.
+
+# IFS needs to be set, to space, tab, and newline, in precisely that order.
+# (If _AS_PATH_WALK were called with IFS unset, it would have the
+# side effect of setting IFS to empty, thus disabling word splitting.)
+# Quoting is to prevent editors from complaining about space-tab.
 as_nl='
 '
 export as_nl
-# Printing a long string crashes Solaris 7 /usr/bin/printf.
-as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'
-as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo
-as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo
-# Prefer a ksh shell builtin over an external printf program on Solaris,
-# but without wasting forks for bash or zsh.
-if test -z "$BASH_VERSION$ZSH_VERSION" \
-    && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then
-  as_echo='print -r --'
-  as_echo_n='print -rn --'
-elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then
-  as_echo='printf %s\n'
-  as_echo_n='printf %s'
-else
-  if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then
-    as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"'
-    as_echo_n='/usr/ucb/echo -n'
-  else
-    as_echo_body='eval expr "X$1" : "X\\(.*\\)"'
-    as_echo_n_body='eval
-      arg=$1;
-      case $arg in #(
-      *"$as_nl"*)
-	expr "X$arg" : "X\\(.*\\)$as_nl";
-	arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;;
-      esac;
-      expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl"
-    '
-    export as_echo_n_body
-    as_echo_n='sh -c $as_echo_n_body as_echo'
-  fi
-  export as_echo_body
-  as_echo='sh -c $as_echo_body as_echo'
-fi
+IFS=" ""	$as_nl"
+
+PS1='$ '
+PS2='> '
+PS4='+ '
+
+# Ensure predictable behavior from utilities with locale-dependent output.
+LC_ALL=C
+export LC_ALL
+LANGUAGE=C
+export LANGUAGE
+
+# We cannot yet rely on "unset" to work, but we need these variables
+# to be unset--not just set to an empty or harmless value--now, to
+# avoid bugs in old shells (e.g. pre-3.0 UWIN ksh).  This construct
+# also avoids known problems related to "unset" and subshell syntax
+# in other old shells (e.g. bash 2.01 and pdksh 5.2.14).
+for as_var in BASH_ENV ENV MAIL MAILPATH CDPATH
+do eval test \${$as_var+y} \
+  && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || :
+done
+
+# Ensure that fds 0, 1, and 2 are open.
+if (exec 3>&0) 2>/dev/null; then :; else exec 0</dev/null; fi
+if (exec 3>&1) 2>/dev/null; then :; else exec 1>/dev/null; fi
+if (exec 3>&2)            ; then :; else exec 2>/dev/null; fi
 
 # The user is always right.
-if test "${PATH_SEPARATOR+set}" != set; then
+if ${PATH_SEPARATOR+false} :; then
   PATH_SEPARATOR=:
   (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && {
     (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 ||
@@ -2101,13 +2214,6 @@ if test "${PATH_SEPARATOR+set}" != set; then
 fi
 
 
-# IFS
-# We need space, tab and new line, in precisely that order.  Quoting is
-# there to prevent editors from complaining about space-tab.
-# (If _AS_PATH_WALK were called with IFS unset, it would disable word
-# splitting by setting IFS to empty value.)
-IFS=" ""	$as_nl"
-
 # Find who we are.  Look in the path if we contain no directory separator.
 as_myself=
 case $0 in #((
@@ -2116,8 +2222,12 @@ case $0 in #((
 for as_dir in $PATH
 do
   IFS=$as_save_IFS
-  test -z "$as_dir" && as_dir=.
-    test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break
+  case $as_dir in #(((
+    '') as_dir=./ ;;
+    */) ;;
+    *) as_dir=$as_dir/ ;;
+  esac
+    test -r "$as_dir$0" && as_myself=$as_dir$0 && break
   done
 IFS=$as_save_IFS
 
@@ -2129,30 +2239,10 @@ if test "x$as_myself" = x; then
   as_myself=$0
 fi
 if test ! -f "$as_myself"; then
-  $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2
+  printf "%s\n" "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2
   exit 1
 fi
 
-# Unset variables that we do not need and which cause bugs (e.g. in
-# pre-3.0 UWIN ksh).  But do not cause bugs in bash 2.01; the "|| exit 1"
-# suppresses any "Segmentation fault" message there.  '((' could
-# trigger a bug in pdksh 5.2.14.
-for as_var in BASH_ENV ENV MAIL MAILPATH
-do eval test x\${$as_var+set} = xset \
-  && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || :
-done
-PS1='$ '
-PS2='> '
-PS4='+ '
-
-# NLS nuisances.
-LC_ALL=C
-export LC_ALL
-LANGUAGE=C
-export LANGUAGE
-
-# CDPATH.
-(unset CDPATH) >/dev/null 2>&1 && unset CDPATH
 
 
 # as_fn_error STATUS ERROR [LINENO LOG_FD]
@@ -2165,13 +2255,14 @@ as_fn_error ()
   as_status=$1; test $as_status -eq 0 && as_status=1
   if test "$4"; then
     as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack
-    $as_echo "$as_me:${as_lineno-$LINENO}: error: $2" >&$4
+    printf "%s\n" "$as_me:${as_lineno-$LINENO}: error: $2" >&$4
   fi
-  $as_echo "$as_me: error: $2" >&2
+  printf "%s\n" "$as_me: error: $2" >&2
   as_fn_exit $as_status
 } # as_fn_error
 
 
+
 # as_fn_set_status STATUS
 # -----------------------
 # Set $? to STATUS, without forking.
@@ -2198,18 +2289,20 @@ as_fn_unset ()
   { eval $1=; unset $1;}
 }
 as_unset=as_fn_unset
+
 # as_fn_append VAR VALUE
 # ----------------------
 # Append the text in VALUE to the end of the definition contained in VAR. Take
 # advantage of any shell optimizations that allow amortized linear growth over
 # repeated appends, instead of the typical quadratic growth present in naive
 # implementations.
-if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then :
+if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null
+then :
   eval 'as_fn_append ()
   {
     eval $1+=\$2
   }'
-else
+else $as_nop
   as_fn_append ()
   {
     eval $1=\$$1\$2
@@ -2221,12 +2314,13 @@ fi # as_fn_append
 # Perform arithmetic evaluation on the ARGs, and store the result in the
 # global $as_val. Take advantage of shells that can avoid forks. The arguments
 # must be portable across $(()) and expr.
-if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then :
+if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null
+then :
   eval 'as_fn_arith ()
   {
     as_val=$(( $* ))
   }'
-else
+else $as_nop
   as_fn_arith ()
   {
     as_val=`expr "$@" || test $? -eq 1`
@@ -2257,7 +2351,7 @@ as_me=`$as_basename -- "$0" ||
 $as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \
 	 X"$0" : 'X\(//\)$' \| \
 	 X"$0" : 'X\(/\)' \| . 2>/dev/null ||
-$as_echo X/"$0" |
+printf "%s\n" X/"$0" |
     sed '/^.*\/\([^/][^/]*\)\/*$/{
 	    s//\1/
 	    q
@@ -2279,6 +2373,10 @@ as_cr_Letters=$as_cr_letters$as_cr_LETTERS
 as_cr_digits='0123456789'
 as_cr_alnum=$as_cr_Letters$as_cr_digits
 
+
+# Determine whether it's possible to make 'echo' print without a newline.
+# These variables are no longer used directly by Autoconf, but are AC_SUBSTed
+# for compatibility with existing Makefiles.
 ECHO_C= ECHO_N= ECHO_T=
 case `echo -n x` in #(((((
 -n*)
@@ -2292,6 +2390,12 @@ case `echo -n x` in #(((((
   ECHO_N='-n';;
 esac
 
+# For backward compatibility with old third-party macros, we provide
+# the shell variables $as_echo and $as_echo_n.  New code should use
+# AS_ECHO(["message"]) and AS_ECHO_N(["message"]), respectively.
+as_echo='printf %s\n'
+as_echo_n='printf %s'
+
 rm -f conf$$ conf$$.exe conf$$.file
 if test -d conf$$.dir; then
   rm -f conf$$.dir/conf$$.file
@@ -2333,7 +2437,7 @@ as_fn_mkdir_p ()
     as_dirs=
     while :; do
       case $as_dir in #(
-      *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'(
+      *\'*) as_qdir=`printf "%s\n" "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'(
       *) as_qdir=$as_dir;;
       esac
       as_dirs="'$as_qdir' $as_dirs"
@@ -2342,7 +2446,7 @@ $as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \
 	 X"$as_dir" : 'X\(//\)[^/]' \| \
 	 X"$as_dir" : 'X\(//\)$' \| \
 	 X"$as_dir" : 'X\(/\)' \| . 2>/dev/null ||
-$as_echo X"$as_dir" |
+printf "%s\n" X"$as_dir" |
     sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{
 	    s//\1/
 	    q
@@ -2405,7 +2509,7 @@ cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1
 # values after options handling.
 ac_log="
 This file was extended by moose $as_me 0.9.0, which was
-generated by GNU Autoconf 2.69.  Invocation command line was
+generated by GNU Autoconf 2.71.  Invocation command line was
 
   CONFIG_FILES    = $CONFIG_FILES
   CONFIG_HEADERS  = $CONFIG_HEADERS
@@ -2468,14 +2572,16 @@ Report bugs to <https://github.com/idaholab/moose/discussions>.
 moose home page: <https://mooseframework.org>."
 
 _ACEOF
+ac_cs_config=`printf "%s\n" "$ac_configure_args" | sed "$ac_safe_unquote"`
+ac_cs_config_escaped=`printf "%s\n" "$ac_cs_config" | sed "s/^ //; s/'/'\\\\\\\\''/g"`
 cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1
-ac_cs_config="`$as_echo "$ac_configure_args" | sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`"
+ac_cs_config='$ac_cs_config_escaped'
 ac_cs_version="\\
 moose config.status 0.9.0
-configured by $0, generated by GNU Autoconf 2.69,
+configured by $0, generated by GNU Autoconf 2.71,
   with options \\"\$ac_cs_config\\"
 
-Copyright (C) 2012 Free Software Foundation, Inc.
+Copyright (C) 2021 Free Software Foundation, Inc.
 This config.status script is free software; the Free Software Foundation
 gives unlimited permission to copy, distribute and modify it."
 
@@ -2512,15 +2618,15 @@ do
   -recheck | --recheck | --rechec | --reche | --rech | --rec | --re | --r)
     ac_cs_recheck=: ;;
   --version | --versio | --versi | --vers | --ver | --ve | --v | -V )
-    $as_echo "$ac_cs_version"; exit ;;
+    printf "%s\n" "$ac_cs_version"; exit ;;
   --config | --confi | --conf | --con | --co | --c )
-    $as_echo "$ac_cs_config"; exit ;;
+    printf "%s\n" "$ac_cs_config"; exit ;;
   --debug | --debu | --deb | --de | --d | -d )
     debug=: ;;
   --file | --fil | --fi | --f )
     $ac_shift
     case $ac_optarg in
-    *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;;
+    *\'*) ac_optarg=`printf "%s\n" "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;;
     '') as_fn_error $? "missing file argument" ;;
     esac
     as_fn_append CONFIG_FILES " '$ac_optarg'"
@@ -2528,7 +2634,7 @@ do
   --header | --heade | --head | --hea )
     $ac_shift
     case $ac_optarg in
-    *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;;
+    *\'*) ac_optarg=`printf "%s\n" "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;;
     esac
     as_fn_append CONFIG_HEADERS " '$ac_optarg'"
     ac_need_defaults=false;;
@@ -2537,7 +2643,7 @@ do
     as_fn_error $? "ambiguous option: \`$1'
 Try \`$0 --help' for more information.";;
   --help | --hel | -h )
-    $as_echo "$ac_cs_usage"; exit ;;
+    printf "%s\n" "$ac_cs_usage"; exit ;;
   -q | -quiet | --quiet | --quie | --qui | --qu | --q \
   | -silent | --silent | --silen | --sile | --sil | --si | --s)
     ac_cs_silent=: ;;
@@ -2565,7 +2671,7 @@ cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1
 if \$ac_cs_recheck; then
   set X $SHELL '$0' $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion
   shift
-  \$as_echo "running CONFIG_SHELL=$SHELL \$*" >&6
+  \printf "%s\n" "running CONFIG_SHELL=$SHELL \$*" >&6
   CONFIG_SHELL='$SHELL'
   export CONFIG_SHELL
   exec "\$@"
@@ -2579,7 +2685,7 @@ exec 5>>config.log
   sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX
 ## Running $as_me. ##
 _ASBOX
-  $as_echo "$ac_log"
+  printf "%s\n" "$ac_log"
 } >&5
 
 _ACEOF
@@ -2611,9 +2717,9 @@ done
 # We use the long form for the default assignment because of an extremely
 # bizarre bug on SunOS 4.1.3.
 if $ac_need_defaults; then
-  test "${CONFIG_FILES+set}" = set || CONFIG_FILES=$config_files
-  test "${CONFIG_HEADERS+set}" = set || CONFIG_HEADERS=$config_headers
-  test "${CONFIG_COMMANDS+set}" = set || CONFIG_COMMANDS=$config_commands
+  test ${CONFIG_FILES+y} || CONFIG_FILES=$config_files
+  test ${CONFIG_HEADERS+y} || CONFIG_HEADERS=$config_headers
+  test ${CONFIG_COMMANDS+y} || CONFIG_COMMANDS=$config_commands
 fi
 
 # Have a temporary directory for convenience.  Make it in the build tree
@@ -2949,7 +3055,7 @@ do
 	   esac ||
 	   as_fn_error 1 "cannot find input file: \`$ac_f'" "$LINENO" 5;;
       esac
-      case $ac_f in *\'*) ac_f=`$as_echo "$ac_f" | sed "s/'/'\\\\\\\\''/g"`;; esac
+      case $ac_f in *\'*) ac_f=`printf "%s\n" "$ac_f" | sed "s/'/'\\\\\\\\''/g"`;; esac
       as_fn_append ac_file_inputs " '$ac_f'"
     done
 
@@ -2957,17 +3063,17 @@ do
     # use $as_me), people would be surprised to read:
     #    /* config.h.  Generated by config.status.  */
     configure_input='Generated from '`
-	  $as_echo "$*" | sed 's|^[^:]*/||;s|:[^:]*/|, |g'
+	  printf "%s\n" "$*" | sed 's|^[^:]*/||;s|:[^:]*/|, |g'
 	`' by configure.'
     if test x"$ac_file" != x-; then
       configure_input="$ac_file.  $configure_input"
-      { $as_echo "$as_me:${as_lineno-$LINENO}: creating $ac_file" >&5
-$as_echo "$as_me: creating $ac_file" >&6;}
+      { printf "%s\n" "$as_me:${as_lineno-$LINENO}: creating $ac_file" >&5
+printf "%s\n" "$as_me: creating $ac_file" >&6;}
     fi
     # Neutralize special characters interpreted by sed in replacement strings.
     case $configure_input in #(
     *\&* | *\|* | *\\* )
-       ac_sed_conf_input=`$as_echo "$configure_input" |
+       ac_sed_conf_input=`printf "%s\n" "$configure_input" |
        sed 's/[\\\\&|]/\\\\&/g'`;; #(
     *) ac_sed_conf_input=$configure_input;;
     esac
@@ -2984,7 +3090,7 @@ $as_expr X"$ac_file" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \
 	 X"$ac_file" : 'X\(//\)[^/]' \| \
 	 X"$ac_file" : 'X\(//\)$' \| \
 	 X"$ac_file" : 'X\(/\)' \| . 2>/dev/null ||
-$as_echo X"$ac_file" |
+printf "%s\n" X"$ac_file" |
     sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{
 	    s//\1/
 	    q
@@ -3008,9 +3114,9 @@ $as_echo X"$ac_file" |
 case "$ac_dir" in
 .) ac_dir_suffix= ac_top_builddir_sub=. ac_top_build_prefix= ;;
 *)
-  ac_dir_suffix=/`$as_echo "$ac_dir" | sed 's|^\.[\\/]||'`
+  ac_dir_suffix=/`printf "%s\n" "$ac_dir" | sed 's|^\.[\\/]||'`
   # A ".." for each directory in $ac_dir_suffix.
-  ac_top_builddir_sub=`$as_echo "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'`
+  ac_top_builddir_sub=`printf "%s\n" "$ac_dir_suffix" | sed 's|/[^\\/]*|/..|g;s|/||'`
   case $ac_top_builddir_sub in
   "") ac_top_builddir_sub=. ac_top_build_prefix= ;;
   *)  ac_top_build_prefix=$ac_top_builddir_sub/ ;;
@@ -3063,8 +3169,8 @@ ac_sed_dataroot='
 case `eval "sed -n \"\$ac_sed_dataroot\" $ac_file_inputs"` in
 *datarootdir*) ac_datarootdir_seen=yes;;
 *@datadir@*|*@docdir@*|*@infodir@*|*@localedir@*|*@mandir@*)
-  { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $ac_file_inputs seems to ignore the --datarootdir setting" >&5
-$as_echo "$as_me: WARNING: $ac_file_inputs seems to ignore the --datarootdir setting" >&2;}
+  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: WARNING: $ac_file_inputs seems to ignore the --datarootdir setting" >&5
+printf "%s\n" "$as_me: WARNING: $ac_file_inputs seems to ignore the --datarootdir setting" >&2;}
 _ACEOF
 cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1
   ac_datarootdir_hack='
@@ -3106,9 +3212,9 @@ test -z "$ac_datarootdir_hack$ac_datarootdir_seen" &&
   { ac_out=`sed -n '/\${datarootdir}/p' "$ac_tmp/out"`; test -n "$ac_out"; } &&
   { ac_out=`sed -n '/^[	 ]*datarootdir[	 ]*:*=/p' \
       "$ac_tmp/out"`; test -z "$ac_out"; } &&
-  { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: $ac_file contains a reference to the variable \`datarootdir'
+  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: WARNING: $ac_file contains a reference to the variable \`datarootdir'
 which seems to be undefined.  Please make sure it is defined" >&5
-$as_echo "$as_me: WARNING: $ac_file contains a reference to the variable \`datarootdir'
+printf "%s\n" "$as_me: WARNING: $ac_file contains a reference to the variable \`datarootdir'
 which seems to be undefined.  Please make sure it is defined" >&2;}
 
   rm -f "$ac_tmp/stdin"
@@ -3124,27 +3230,27 @@ which seems to be undefined.  Please make sure it is defined" >&2;}
   #
   if test x"$ac_file" != x-; then
     {
-      $as_echo "/* $configure_input  */" \
+      printf "%s\n" "/* $configure_input  */" >&1 \
       && eval '$AWK -f "$ac_tmp/defines.awk"' "$ac_file_inputs"
     } >"$ac_tmp/config.h" \
       || as_fn_error $? "could not create $ac_file" "$LINENO" 5
     if diff "$ac_file" "$ac_tmp/config.h" >/dev/null 2>&1; then
-      { $as_echo "$as_me:${as_lineno-$LINENO}: $ac_file is unchanged" >&5
-$as_echo "$as_me: $ac_file is unchanged" >&6;}
+      { printf "%s\n" "$as_me:${as_lineno-$LINENO}: $ac_file is unchanged" >&5
+printf "%s\n" "$as_me: $ac_file is unchanged" >&6;}
     else
       rm -f "$ac_file"
       mv "$ac_tmp/config.h" "$ac_file" \
 	|| as_fn_error $? "could not create $ac_file" "$LINENO" 5
     fi
   else
-    $as_echo "/* $configure_input  */" \
+    printf "%s\n" "/* $configure_input  */" >&1 \
       && eval '$AWK -f "$ac_tmp/defines.awk"' "$ac_file_inputs" \
       || as_fn_error $? "could not create -" "$LINENO" 5
   fi
  ;;
 
-  :C)  { $as_echo "$as_me:${as_lineno-$LINENO}: executing $ac_file commands" >&5
-$as_echo "$as_me: executing $ac_file commands" >&6;}
+  :C)  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: executing $ac_file commands" >&5
+printf "%s\n" "$as_me: executing $ac_file commands" >&6;}
  ;;
   esac
 
@@ -3181,17 +3287,17 @@ else
   if test ! -f "$ac_prefix_conf_INP" ; then if test -f "$srcdir/$ac_prefix_conf_INP" ; then
      ac_prefix_conf_INP="$srcdir/$ac_prefix_conf_INP"
   fi fi
-  { $as_echo "$as_me:${as_lineno-$LINENO}: creating $ac_prefix_conf_OUT - prefix $ac_prefix_conf_UPP for $ac_prefix_conf_INP defines" >&5
-$as_echo "$as_me: creating $ac_prefix_conf_OUT - prefix $ac_prefix_conf_UPP for $ac_prefix_conf_INP defines" >&6;}
+  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: creating $ac_prefix_conf_OUT - prefix $ac_prefix_conf_UPP for $ac_prefix_conf_INP defines" >&5
+printf "%s\n" "$as_me: creating $ac_prefix_conf_OUT - prefix $ac_prefix_conf_UPP for $ac_prefix_conf_INP defines" >&6;}
   if test -f $ac_prefix_conf_INP ; then
-    $as_echo "s/^#undef  *\\([ABCDEFGHIJKLMNOPQRSTUVWXYZ_]\\)/#undef $ac_prefix_conf_UPP""_\\1/" > conftest.prefix
-    $as_echo "s/^#undef  *\\([abcdefghijklmnopqrstuvwxyz]\\)/#undef $ac_prefix_conf_LOW""_\\1/" >> conftest.prefix
-    $as_echo "s/^#define  *\\([ABCDEFGHIJKLMNOPQRSTUVWXYZ_][abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789_]*\\)\\(.*\\)/#ifndef $ac_prefix_conf_UPP""_\\1\\" >> conftest.prefix
-    $as_echo "#define $ac_prefix_conf_UPP""_\\1\\2\\" >> conftest.prefix
-    $as_echo "#endif/" >> conftest.prefix
-    $as_echo "s/^#define  *\\([abcdefghijklmnopqrstuvwxyz][abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789_]*\\)\\(.*\\)/#ifndef $ac_prefix_conf_LOW""_\\1\\" >> conftest.prefix
-    $as_echo "#define $ac_prefix_conf_LOW""_\\1\\2\\" >> conftest.prefix
-    $as_echo "#endif/" >> conftest.prefix
+    printf "%s\n" "s/^#undef  *\\([ABCDEFGHIJKLMNOPQRSTUVWXYZ_]\\)/#undef $ac_prefix_conf_UPP""_\\1/" > conftest.prefix
+    printf "%s\n" "s/^#undef  *\\([abcdefghijklmnopqrstuvwxyz]\\)/#undef $ac_prefix_conf_LOW""_\\1/" >> conftest.prefix
+    printf "%s\n" "s/^#define  *\\([ABCDEFGHIJKLMNOPQRSTUVWXYZ_][abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789_]*\\)\\(.*\\)/#ifndef $ac_prefix_conf_UPP""_\\1\\" >> conftest.prefix
+    printf "%s\n" "#define $ac_prefix_conf_UPP""_\\1\\2\\" >> conftest.prefix
+    printf "%s\n" "#endif/" >> conftest.prefix
+    printf "%s\n" "s/^#define  *\\([abcdefghijklmnopqrstuvwxyz][abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789_]*\\)\\(.*\\)/#ifndef $ac_prefix_conf_LOW""_\\1\\" >> conftest.prefix
+    printf "%s\n" "#define $ac_prefix_conf_LOW""_\\1\\2\\" >> conftest.prefix
+    printf "%s\n" "#endif/" >> conftest.prefix
     # now executing _script on _DEF input to create _OUT output file
     echo "#ifndef $ac_prefix_conf_DEF"      >$tmp/pconfig.h
     echo "#define $ac_prefix_conf_DEF 1" >>$tmp/pconfig.h
@@ -3203,15 +3309,15 @@ $as_echo "$as_me: creating $ac_prefix_conf_OUT - prefix $ac_prefix_conf_UPP for
     echo '/* once:' $ac_prefix_conf_DEF '*/' >>$tmp/pconfig.h
     echo "#endif" >>$tmp/pconfig.h
     if cmp -s $ac_prefix_conf_OUT $tmp/pconfig.h 2>/dev/null; then
-      { $as_echo "$as_me:${as_lineno-$LINENO}: $ac_prefix_conf_OUT is unchanged" >&5
-$as_echo "$as_me: $ac_prefix_conf_OUT is unchanged" >&6;}
+      { printf "%s\n" "$as_me:${as_lineno-$LINENO}: $ac_prefix_conf_OUT is unchanged" >&5
+printf "%s\n" "$as_me: $ac_prefix_conf_OUT is unchanged" >&6;}
     else
       ac_dir=`$as_dirname -- "$ac_prefix_conf_OUT" ||
 $as_expr X"$ac_prefix_conf_OUT" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \
 	 X"$ac_prefix_conf_OUT" : 'X\(//\)[^/]' \| \
 	 X"$ac_prefix_conf_OUT" : 'X\(//\)$' \| \
 	 X"$ac_prefix_conf_OUT" : 'X\(/\)' \| . 2>/dev/null ||
-$as_echo X"$ac_prefix_conf_OUT" |
+printf "%s\n" X"$ac_prefix_conf_OUT" |
     sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{
 	    s//\1/
 	    q
@@ -3274,14 +3380,15 @@ if test "$no_create" != yes; then
   $ac_cs_success || as_fn_exit 1
 fi
 if test -n "$ac_unrecognized_opts" && test "$enable_option_checking" != no; then
-  { $as_echo "$as_me:${as_lineno-$LINENO}: WARNING: unrecognized options: $ac_unrecognized_opts" >&5
-$as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2;}
+  { printf "%s\n" "$as_me:${as_lineno-$LINENO}: WARNING: unrecognized options: $ac_unrecognized_opts" >&5
+printf "%s\n" "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2;}
 fi
 
 
-{ $as_echo "$as_me:${as_lineno-$LINENO}: result: ---------------------------------------------" >&5
-$as_echo "---------------------------------------------" >&6; }
-{ $as_echo "$as_me:${as_lineno-$LINENO}: result: --------- Done Configuring MOOSE ------------" >&5
-$as_echo "--------- Done Configuring MOOSE ------------" >&6; }
-{ $as_echo "$as_me:${as_lineno-$LINENO}: result: ---------------------------------------------" >&5
-$as_echo "---------------------------------------------" >&6; }
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: ---------------------------------------------" >&5
+printf "%s\n" "---------------------------------------------" >&6; }
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: --------- Done Configuring MOOSE ------------" >&5
+printf "%s\n" "--------- Done Configuring MOOSE ------------" >&6; }
+{ printf "%s\n" "$as_me:${as_lineno-$LINENO}: result: ---------------------------------------------" >&5
+printf "%s\n" "---------------------------------------------" >&6; }
+
diff --git a/configure.ac b/configure.ac
index 531b3dedd93c..3623c8fdbaa7 100644
--- a/configure.ac
+++ b/configure.ac
@@ -1,5 +1,5 @@
-AC_INIT([moose], [0.9.0], [https://github.com/idaholab/moose/discussions], [moose], [https://mooseframework.org])
-AC_PREREQ([2.69])
+AC_INIT([moose],[0.9.0],[https://github.com/idaholab/moose/discussions],[moose],[https://mooseframework.org])
+AC_PREREQ([2.71])
 
 # Infer the source directory as the path to the ./configure script
 srcdir=`dirname $0`
@@ -23,7 +23,7 @@ AC_MSG_RESULT(---------------------------------------------)
 AC_CONFIG_MACRO_DIR([m4])
 
 # Create a temporary file with e.g. SPARSE_AD
-AC_CONFIG_HEADER(framework/include/base/MooseConfig.h.tmp:framework/include/base/MooseConfig.h.in)
+AC_CONFIG_HEADERS([framework/include/base/MooseConfig.h.tmp:framework/include/base/MooseConfig.h.in])
 # Prefixes everything in the temporary file with MOOSE_, e.g. MOOSE_SPARSE_AD
 AX_PREFIX_CONFIG_H(framework/include/base/MooseConfig.h,MOOSE,framework/include/base/MooseConfig.h.tmp)
 
@@ -58,6 +58,28 @@ AS_IF([test "$libtorch_support" = yes],
         AC_MSG_RESULT([Libtorch library path: $libtorch_library])
       ])
 
+AC_ARG_WITH(mfem,
+            AS_HELP_STRING([--with-mfem@<:@=ARG@:>@],[Specify if mfem support should be enabled @<:@ARG=yes or mfem directory@:>@]),
+            [mfem_support=yes mfem_library="$withval"],
+            [mfem_support=no])
+
+AC_MSG_RESULT([configuring with mfem support: $mfem_support])
+
+AS_IF([test "$mfem_support" = yes],
+      [
+        AC_DEFINE(MFEM_ENABLED, 1, [Whether to use mfem-related code or not])
+        AC_SUBST([mfem_support],[true])
+        AS_IF([test "$mfem_library" = yes],
+              [
+                    AS_IF([test "${MFEM_DIR+set}" = set],
+                          [mfem_library="${MFEM_DIR}"],
+                          [mfem_library="$ac_pwd/framework/contrib/mfem"])
+              ])
+        AC_DEFINE_UNQUOTED(MFEM_DIR, [$mfem_library], [The directory where mfem is installed])
+        AC_SUBST([mfem_library])
+        AC_MSG_RESULT([MFEM library path: $mfem_library])
+      ])
+
 AC_PATH_TOOL(PKG_CONFIG,pkg-config)
 if test x$PKG_CONFIG != x; then
   AC_SUBST(LIBPNG)
diff --git a/framework/contrib/conduit b/framework/contrib/conduit
new file mode 160000
index 000000000000..ad86e316ad56
--- /dev/null
+++ b/framework/contrib/conduit
@@ -0,0 +1 @@
+Subproject commit ad86e316ad56a75c099d30ca5ce75cff275b5924
diff --git a/framework/contrib/mfem b/framework/contrib/mfem
new file mode 160000
index 000000000000..e731d2dd6967
--- /dev/null
+++ b/framework/contrib/mfem
@@ -0,0 +1 @@
+Subproject commit e731d2dd6967e3e9429f48d36e71867128c1d985
diff --git a/framework/doc/content/source/mfem/actions/AddFESpaceAction.md b/framework/doc/content/source/mfem/actions/AddFESpaceAction.md
new file mode 100644
index 000000000000..edbee0f0a425
--- /dev/null
+++ b/framework/doc/content/source/mfem/actions/AddFESpaceAction.md
@@ -0,0 +1,17 @@
+# AddFESpaceAction
+
+## Summary
+
+!syntax description /FESpaces/AddFESpaceAction
+
+## Overview
+
+Action called to add an MFEM finite element space to the problem, parsing content inside an
+[`MFEMFESpace`](source/fespaces/MFEMFESpace.md) block in the user input. Only has an effect if the
+`Problem` type is set to [`MFEMProblem`](source/problem/MFEMProblem.md).
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/heatconduction.i block=Problem FESpaces
+
+!syntax parameters /FESpaces/AddFESpaceAction
diff --git a/framework/doc/content/source/mfem/actions/AddMFEMPreconditionerAction.md b/framework/doc/content/source/mfem/actions/AddMFEMPreconditionerAction.md
new file mode 100644
index 000000000000..8e604ec3ec00
--- /dev/null
+++ b/framework/doc/content/source/mfem/actions/AddMFEMPreconditionerAction.md
@@ -0,0 +1,17 @@
+# AddMFEMPreconditionerAction
+
+## Summary
+
+!syntax description /Preconditioner/AddMFEMPreconditionerAction
+
+## Overview
+
+Action called to add a linear preconditioner to an MFEM problem, parsing content inside a
+[`Preconditioner`](source/solvers/MFEMSolverBase.md) block in the user input. Only has an effect if
+the `Problem` type is set to [`MFEMProblem`](source/problem/MFEMProblem.md).
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/curlcurl.i block=Problem FESpaces Preconditioner
+
+!syntax parameters /Preconditioner/AddMFEMPreconditionerAction
diff --git a/framework/doc/content/source/mfem/actions/AddMFEMSolverAction.md b/framework/doc/content/source/mfem/actions/AddMFEMSolverAction.md
new file mode 100644
index 000000000000..62ab31245d4c
--- /dev/null
+++ b/framework/doc/content/source/mfem/actions/AddMFEMSolverAction.md
@@ -0,0 +1,17 @@
+# AddMFEMSolverAction
+
+## Summary
+
+!syntax description /Solver/AddMFEMSolverAction
+
+## Overview
+
+Action called to add a linear solver to an MFEM problem, parsing content inside a
+[`Solver`](source/solvers/MFEMSolverBase.md) block in the user input. Only has an effect if the
+`Problem` type is set to [`MFEMProblem`](source/problem/MFEMProblem.md).
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/curlcurl.i block=Problem FESpaces Preconditioner Solver
+
+!syntax parameters /Solver/AddMFEMSolverAction
diff --git a/framework/doc/content/source/mfem/actions/AddProblemOperatorAction.md b/framework/doc/content/source/mfem/actions/AddProblemOperatorAction.md
new file mode 100644
index 000000000000..ca90d87a5968
--- /dev/null
+++ b/framework/doc/content/source/mfem/actions/AddProblemOperatorAction.md
@@ -0,0 +1,11 @@
+# AddProblemOperatorAction
+
+## Summary
+
+Set the ProblemOperator used in the MFEMExecutioner to solve the FE problem.
+
+## Overview
+
+Action called to add a [`ProblemOperator`](source/problem_operators/problem_operator.md) to the
+problem from an MFEM executioner. This action is run as part of the MFEM problem setup if the
+`Problem` type is set to [`MFEMProblem`](source/problem/MFEMProblem.md).
diff --git a/framework/doc/content/source/mfem/actions/SetMeshFESpaceAction.md b/framework/doc/content/source/mfem/actions/SetMeshFESpaceAction.md
new file mode 100644
index 000000000000..4237fb36c393
--- /dev/null
+++ b/framework/doc/content/source/mfem/actions/SetMeshFESpaceAction.md
@@ -0,0 +1,18 @@
+# SetMeshFESpaceAction
+
+## Summary
+
+Sets the nodal mesh FESpace to use the same FESpace as the
+[`MFEMVariable`](source/variables/MFEMVariable.md) used to describe node displacements.
+
+## Overview
+
+Action called to set the nodal mesh FESpace to use the same FESpace as the variable used to describe
+node displacements in problems involving deformed meshes, parsing content inside the `Mesh` block in
+the user input. Only has an effect if the `Problem` type is set to
+[`MFEMProblem`](source/problem/MFEMProblem.md), the `Mesh` type is set to [`MFEMMesh`](source/mesh/MFEMMesh.md)
+and the `displacement` field is set.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/linearelasticity.i block=Mesh
diff --git a/framework/doc/content/source/mfem/base/PlatypusApp.md b/framework/doc/content/source/mfem/base/PlatypusApp.md
new file mode 100644
index 000000000000..f3f109f39944
--- /dev/null
+++ b/framework/doc/content/source/mfem/base/PlatypusApp.md
@@ -0,0 +1,15 @@
+# PlatypusApp
+
+## Summary
+
+The `PlatypusApp` object is the base class for Platypus and serves as the entry point for running an MFEM problem in MOOSE.
+
+## Overview
+
+`PlatypusApp` extends the functionality of `MooseApp` by declaring task dependencies between
+MFEM-specific steps of the MFEM problem assembly. Dependencies are respected when parsing the user's
+input file for Platypus, so objects will be constructed in the correct order. For example, this is where
+it is enforced that the build of `MFEMFESpace` objects occurs before the build of `MFEMVariable`
+objects that may depend on them.
+
+!listing src/base/PlatypusApp.C
diff --git a/framework/doc/content/source/mfem/bcs/MFEMBoundaryCondition.md b/framework/doc/content/source/mfem/bcs/MFEMBoundaryCondition.md
new file mode 100644
index 000000000000..b0ce580be445
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMBoundaryCondition.md
@@ -0,0 +1,25 @@
+# MFEMBoundaryCondition
+
+## Summary
+
+Base class for MFEM boundary condition objects.
+
+## Overview
+
+`MFEMBoundaryCondition` represents boundary conditions applied to the MFEM problem, applied on the
+user-provided list of boundaries.
+
+Similar to `MFEMKernel`, the boundary condition is applied to the weak form equation that is labeled
+according to the test variable name returned from `getTestVariableName()`.
+
+`MFEMBoundaryCondition` objects come in two varieties, depending on which child class they inherit
+from:
+
+- Essential boundary conditions, inheriting from [`MFEMEssentialBC`](source/bcs/MFEMEssentialBC.md),
+  for the application of Dirichlet-like BCs removing degrees of freedom from the problem at the
+  boundary;
+
+- Integrated boundary conditions, inheriting from
+  [`MFEMIntegratedBC`](source/bcs/MFEMIntegratedBC.md), which apply one or more boundary integrators
+  to the weak form on the specified boundaries.
+
diff --git a/framework/doc/content/source/mfem/bcs/MFEMConvectiveHeatFluxBC.md b/framework/doc/content/source/mfem/bcs/MFEMConvectiveHeatFluxBC.md
new file mode 100644
index 000000000000..e629bfd44415
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMConvectiveHeatFluxBC.md
@@ -0,0 +1,33 @@
+# MFEMConvectiveHeatFluxBC
+
+## Summary
+
+!syntax description /BCs/MFEMConvectiveHeatFluxBC
+
+## Overview
+
+Adds the boundary integrator for integrating the bilinear form
+
+!equation
+\lambda(u-u_0, v)_{\partial\Omega} \,\,\, \forall v \in V
+
+where $u, v \in H^1$ are the test and trial variables, and $\lambda, u_0$ are scalar functions on the boundary independent of $u$.
+
+This boundary condition is particularly useful for thermal problems, where it can be used to
+represent a heat transfer boundary condition
+
+!equation
+h(T-T_{\inf}, T')_{\partial\Omega} \,\,\, \forall T' \in V
+
+by identifying $\lambda=h$ as the heat transfer coefficient on the boundary, $u=T$ as the trial variable
+for the temperature, $v=T'$ as the test variable, and $u_0=T_{inf}$ as the equilibrium temperature far from the boundary.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/heattransfer.i block=BCs
+
+!syntax parameters /BCs/MFEMConvectiveHeatFluxBC
+
+!syntax inputs /BCs/MFEMConvectiveHeatFluxBC
+
+!syntax children /BCs/MFEMConvectiveHeatFluxBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMEssentialBC.md b/framework/doc/content/source/mfem/bcs/MFEMEssentialBC.md
new file mode 100644
index 000000000000..c656c065753e
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMEssentialBC.md
@@ -0,0 +1,11 @@
+# MFEMEssentialBC
+
+## Summary
+
+Base class for objects applying essential boundary conditions to an MFEM FE problem.
+
+## Overview
+
+Classes deriving from `MFEMEssentialBC` are used for the application of Dirichlet-like BCs that
+remove degrees of freedom from the problem on the specified boundary. These are commonly used when
+strongly constraining the values a solution may take on boundaries.
diff --git a/framework/doc/content/source/mfem/bcs/MFEMIntegratedBC.md b/framework/doc/content/source/mfem/bcs/MFEMIntegratedBC.md
new file mode 100644
index 000000000000..badd42bd25a9
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMIntegratedBC.md
@@ -0,0 +1,14 @@
+# MFEMIntegratedBC
+
+## Summary
+
+Base class for objects applying integrated boundary conditions to an MFEM FE problem.
+
+## Overview
+
+Classes deriving from `MFEMIntegratedBC` represent boundary conditions which apply one or more
+boundary integrators to the weak form on the set of user-specified boundaries.
+
+`MFEMIntegratedBC` applies boundary integrator(s) to the weak form equation that is labeled
+according to the test variable name returned from `getTestVariableName()`, similar to
+[`MFEMKernel`](source/kernels/MFEMKernel.md) for domain integrators.
diff --git a/framework/doc/content/source/mfem/bcs/MFEMScalarDirichletBC.md b/framework/doc/content/source/mfem/bcs/MFEMScalarDirichletBC.md
new file mode 100644
index 000000000000..81b8bc639c1f
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMScalarDirichletBC.md
@@ -0,0 +1,20 @@
+# MFEMScalarDirichletBC
+
+## Summary
+
+!syntax description /BCs/MFEMScalarDirichletBC
+
+## Overview
+
+Boundary condition for enforcing an essential (Dirichlet) condition on a scalar variable on the
+boundary, fixing its values to the input on the boundary.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/heatconduction.i block=BCs
+
+!syntax parameters /BCs/MFEMScalarDirichletBC
+
+!syntax inputs /BCs/MFEMScalarDirichletBC
+
+!syntax children /BCs/MFEMScalarDirichletBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMScalarFunctorBoundaryIntegratedBC.md b/framework/doc/content/source/mfem/bcs/MFEMScalarFunctorBoundaryIntegratedBC.md
new file mode 100644
index 000000000000..5f70c6be32f4
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMScalarFunctorBoundaryIntegratedBC.md
@@ -0,0 +1,21 @@
+# MFEMScalarFunctorBoundaryIntegratedBC
+
+## Summary
+
+!syntax description /BCs/MFEMScalarFunctorBoundaryIntegratedBC
+
+## Overview
+
+Adds the boundary integrator for integrating the linear form
+
+!equation
+(f, v)_{\partial\Omega} \,\,\, \forall v \in V
+
+where the test variable $v \in H^1$ and $f$ is a scalar coefficient. Often used for representing
+Neumann-type boundary conditions.
+
+!syntax parameters /BCs/MFEMScalarFunctorBoundaryIntegratedBC
+
+!syntax inputs /BCs/MFEMScalarFunctorBoundaryIntegratedBC
+
+!syntax children /BCs/MFEMScalarFunctorBoundaryIntegratedBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMScalarFunctorDirichletBC.md b/framework/doc/content/source/mfem/bcs/MFEMScalarFunctorDirichletBC.md
new file mode 100644
index 000000000000..f44b549123b7
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMScalarFunctorDirichletBC.md
@@ -0,0 +1,19 @@
+# MFEMScalarFunctorDirichletBC
+
+## Summary
+
+!syntax description /BCs/MFEMScalarFunctorDirichletBC
+
+## Overview
+
+Boundary condition for enforcing an essential (Dirichlet) condition on
+a scalar variable on the boundary, fixing its values to the input
+scalar function on the boundary.
+
+## Example Input File Syntax
+
+!syntax parameters /BCs/MFEMScalarFunctorDirichletBC
+
+!syntax inputs /BCs/MFEMScalarFunctorDirichletBC
+
+!syntax children /BCs/MFEMScalarFunctorDirichletBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorBoundaryIntegratedBC.md b/framework/doc/content/source/mfem/bcs/MFEMVectorBoundaryIntegratedBC.md
new file mode 100644
index 000000000000..6f914a9b4c74
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorBoundaryIntegratedBC.md
@@ -0,0 +1,24 @@
+# MFEMVectorBoundaryIntegratedBC
+
+## Summary
+
+!syntax description /BCs/MFEMVectorBoundaryIntegratedBC
+
+## Overview
+
+Adds the boundary integrator for integrating the linear form
+
+!equation
+(\vec f, \vec v)_{\partial\Omega} \,\,\, \forall \vec v \in V
+
+where $\vec v \in \vec H^1$ and $\vec f$ is a constant vector of the same dimension.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/linearelasticity.i block=BCs
+
+!syntax parameters /BCs/MFEMVectorBoundaryIntegratedBC
+
+!syntax inputs /BCs/MFEMVectorBoundaryIntegratedBC
+
+!syntax children /BCs/MFEMVectorBoundaryIntegratedBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorDirichletBC.md b/framework/doc/content/source/mfem/bcs/MFEMVectorDirichletBC.md
new file mode 100644
index 000000000000..ca16cbb465e4
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorDirichletBC.md
@@ -0,0 +1,20 @@
+# MFEMVectorDirichletBC
+
+## Summary
+
+!syntax description /BCs/MFEMVectorDirichletBC
+
+## Overview
+
+Boundary condition for enforcing an essential (Dirichlet) boundary condition on all components of a
+vector $H^1$ conforming variable on the boundary. The boundary value is constant in space and time.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/linearelasticity.i block=BCs
+
+!syntax parameters /BCs/MFEMVectorDirichletBC
+
+!syntax inputs /BCs/MFEMVectorDirichletBC
+
+!syntax children /BCs/MFEMVectorDirichletBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorDirichletBCBase.md b/framework/doc/content/source/mfem/bcs/MFEMVectorDirichletBCBase.md
new file mode 100644
index 000000000000..6a2939cffb6e
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorDirichletBCBase.md
@@ -0,0 +1,12 @@
+# MFEMVectorDirichletBCBase
+
+## Summary
+
+Base class for objects applying essential boundary conditions on vector variables in an MFEM FE problem.
+
+## Overview
+
+Classes deriving from `MFEMVectorDirichletBCBase` are used for the application of Dirichlet-like BCs that
+remove degrees of freedom from vector variables in the problem on the specified boundary. These are commonly used when
+strongly constraining the values a solution may take on boundaries. The imposed values are uniform in space and constant
+in time.
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorBoundaryIntegratedBC.md b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorBoundaryIntegratedBC.md
new file mode 100644
index 000000000000..3440f96ca7ce
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorBoundaryIntegratedBC.md
@@ -0,0 +1,22 @@
+# MFEMVectorFunctorBoundaryIntegratedBC
+
+## Summary
+
+!syntax description /BCs/MFEMVectorFunctorBoundaryIntegratedBC
+
+## Overview
+
+Adds the boundary integrator for integrating the linear form
+
+!equation
+(\vec f, \vec v)_{\partial\Omega} \,\,\, \forall \vec v \in V
+
+where $v \in \vec H^1$ and $\vec f$ is a vector function of the same dimension.
+
+## Example Input File Syntax
+
+!syntax parameters /BCs/MFEMVectorFunctorBoundaryIntegratedBC
+
+!syntax inputs /BCs/MFEMVectorFunctorBoundaryIntegratedBC
+
+!syntax children /BCs/MFEMVectorFunctorBoundaryIntegratedBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorDirichletBC.md b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorDirichletBC.md
new file mode 100644
index 000000000000..11a93e6dddd5
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorDirichletBC.md
@@ -0,0 +1,20 @@
+# MFEMVectorFunctorDirichletBC
+
+## Summary
+
+!syntax description /BCs/MFEMVectorFunctorDirichletBC
+
+## Overview
+
+Boundary condition for enforcing an essential (Dirichlet) boundary condition on all components of a
+vector $H^1$ conforming variable on the boundary. The boundary value is a function of space and/or time.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/linearelasticity.i block=BCs
+
+!syntax parameters /BCs/MFEMVectorFunctorDirichletBC
+
+!syntax inputs /BCs/MFEMVectorFunctorDirichletBC
+
+!syntax children /BCs/MFEMVectorFunctorDirichletBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorDirichletBCBase.md b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorDirichletBCBase.md
new file mode 100644
index 000000000000..cdcf3ffd8a99
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorDirichletBCBase.md
@@ -0,0 +1,11 @@
+# MFEMVectorFunctorDirichletBCBase
+
+## Summary
+
+Base class for objects applying essential boundary conditions on vector variables in an MFEM FE problem.
+
+## Overview
+
+Classes deriving from `MFEMVectorFunctorDirichletBCBase` are used for the application of Dirichlet-like BCs that
+remove degrees of freedom from vector variables in the problem on the specified boundary. These are commonly used when
+strongly constraining the values a solution may take on boundaries. The imposed values may vary in space and/or time.
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorNormalDirichletBC.md b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorNormalDirichletBC.md
new file mode 100644
index 000000000000..04e93692abd9
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorNormalDirichletBC.md
@@ -0,0 +1,21 @@
+# MFEMVectorFunctorNormalDirichletBC
+
+## Summary
+
+!syntax description /BCs/MFEMVectorFunctorNormalDirichletBC
+
+## Overview
+
+Boundary condition for enforcing an essential (Dirichlet) boundary condition on the normal
+components of a $H(\mathrm{div})$ conforming vector FE at a boundary. The imposed value is
+a function of space and/or time.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/graddiv.i block=BCs
+
+!syntax parameters /BCs/MFEMVectorFunctorNormalDirichletBC
+
+!syntax inputs /BCs/MFEMVectorFunctorNormalDirichletBC
+
+!syntax children /BCs/MFEMVectorFunctorNormalDirichletBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorNormalIntegratedBC.md b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorNormalIntegratedBC.md
new file mode 100644
index 000000000000..c29e22785e5a
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorNormalIntegratedBC.md
@@ -0,0 +1,21 @@
+# MFEMVectorFunctorNormalIntegratedBC
+
+## Summary
+
+!syntax description /BCs/MFEMVectorFunctorNormalIntegratedBC
+
+## Overview
+
+Adds the boundary integrator for integrating the linear form
+
+!equation
+(\vec f \cdot \hat n, v)_{\partial\Omega} \,\,\, \forall v \in V
+
+where $v \in H^1$, $\vec f$ is a vector function, and $\hat n$ is the outward facing unit normal
+vector on the boundary.
+
+!syntax parameters /BCs/MFEMVectorFunctorNormalIntegratedBC
+
+!syntax inputs /BCs/MFEMVectorFunctorNormalIntegratedBC
+
+!syntax children /BCs/MFEMVectorFunctorNormalIntegratedBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorTangentialDirichletBC.md b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorTangentialDirichletBC.md
new file mode 100644
index 000000000000..8f859539ec2b
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorFunctorTangentialDirichletBC.md
@@ -0,0 +1,21 @@
+# MFEMVectorFunctorTangentialDirichletBC
+
+## Summary
+
+!syntax description /BCs/MFEMVectorFunctorTangentialDirichletBC
+
+## Overview
+
+Boundary condition for enforcing an essential (Dirichlet) boundary condition on the tangential
+components of a $H(\mathrm{curl})$ conforming vector FE at a boundary. The boundary value is
+a function of space and/or time.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/curlcurl.i block=BCs
+
+!syntax parameters /BCs/MFEMVectorFunctorTangentialDirichletBC
+
+!syntax inputs /BCs/MFEMVectorFunctorTangentialDirichletBC
+
+!syntax children /BCs/MFEMVectorFunctorTangentialDirichletBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorNormalDirichletBC.md b/framework/doc/content/source/mfem/bcs/MFEMVectorNormalDirichletBC.md
new file mode 100644
index 000000000000..8baf0e48dea8
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorNormalDirichletBC.md
@@ -0,0 +1,19 @@
+# MFEMVectorNormalDirichletBC
+
+## Summary
+
+!syntax description /BCs/MFEMVectorNormalDirichletBC
+
+## Overview
+
+Boundary condition for enforcing an essential (Dirichlet) boundary condition on the normal
+components of a $H(\mathrm{div})$ conforming vector FE at a boundary. The imposed value is
+constant in space and time.
+
+## Example Input File Syntax
+
+!syntax parameters /BCs/MFEMVectorNormalDirichletBC
+
+!syntax inputs /BCs/MFEMVectorNormalDirichletBC
+
+!syntax children /BCs/MFEMVectorNormalDirichletBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorNormalIntegratedBC.md b/framework/doc/content/source/mfem/bcs/MFEMVectorNormalIntegratedBC.md
new file mode 100644
index 000000000000..2be8a43b256e
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorNormalIntegratedBC.md
@@ -0,0 +1,21 @@
+# MFEMVectorNormalIntegratedBC
+
+## Summary
+
+!syntax description /BCs/MFEMVectorNormalIntegratedBC
+
+## Overview
+
+Adds the boundary integrator for integrating the linear form
+
+!equation
+(\vec f \cdot \hat n, v)_{\partial\Omega} \,\,\, \forall v \in V
+
+where $v \in H^1$, $\vec f$ is a vector value, and $\hat n$ is the outward facing unit normal
+vector on the boundary.
+
+!syntax parameters /BCs/MFEMVectorNormalIntegratedBC
+
+!syntax inputs /BCs/MFEMVectorNormalIntegratedBC
+
+!syntax children /BCs/MFEMVectorNormalIntegratedBC
diff --git a/framework/doc/content/source/mfem/bcs/MFEMVectorTangentialDirichletBC.md b/framework/doc/content/source/mfem/bcs/MFEMVectorTangentialDirichletBC.md
new file mode 100644
index 000000000000..6d10093ccecc
--- /dev/null
+++ b/framework/doc/content/source/mfem/bcs/MFEMVectorTangentialDirichletBC.md
@@ -0,0 +1,19 @@
+# MFEMVectorTangentialDirichletBC
+
+## Summary
+
+!syntax description /BCs/MFEMVectorTangentialDirichletBC
+
+## Overview
+
+Boundary condition for enforcing an essential (Dirichlet) boundary condition on the tangential
+components of a $H(\mathrm{curl})$ conforming vector FE at a boundary. The boundary value is
+constant in space and time.
+
+## Example Input File Syntax
+
+!syntax parameters /BCs/MFEMVectorTangentialDirichletBC
+
+!syntax inputs /BCs/MFEMVectorTangentialDirichletBC
+
+!syntax children /BCs/MFEMVectorTangentialDirichletBC
diff --git a/framework/doc/content/source/mfem/containers/MFEMContainers.md b/framework/doc/content/source/mfem/containers/MFEMContainers.md
new file mode 100644
index 000000000000..2d6af2aebc4b
--- /dev/null
+++ b/framework/doc/content/source/mfem/containers/MFEMContainers.md
@@ -0,0 +1,10 @@
+# NamedFieldsMap
+
+## Summary
+
+Adapted map for returning shared pointers to objects from string names.
+
+## Overview
+
+`NamedFieldsMap` is an adapted `std::map` used to register and retrieve shared pointers of MFEM
+objects using field names (strings) as keys.
diff --git a/framework/doc/content/source/mfem/equation_systems/equation_system.md b/framework/doc/content/source/mfem/equation_systems/equation_system.md
new file mode 100644
index 000000000000..bb4b5a50dda6
--- /dev/null
+++ b/framework/doc/content/source/mfem/equation_systems/equation_system.md
@@ -0,0 +1,52 @@
+# EquationSystem
+
+The EquationSystem is responsible for defining and assembling the weak form of the PDE into an
+[`mfem::Operator`](https://docs.mfem.org/html/classmfem_1_1Operator.html) used to solve an iteration
+of the FE problem. This operator is passed to an
+[`mfem::NewtonSolver`](https://docs.mfem.org/html/classmfem_1_1NewtonSolver.html) in a
+[ProblemOperator](source/problem_operators/problem_operator.md), which handles the update of the
+state of all variables (including any required nonlinear iterations).  
+
+!equation
+{\left(\mathcal{L}(u), v\right)_{\Omega}=\left(f,v\right)_{\Omega}\,\,\,\forall v \in V}
+
+Discretizing the trial variable $u$ by $u\approx u_h = \sum_i u_i \phi_i(\vec x)$,
+and approximating the test space $V$ by a finite dimensional subspace spanned by
+the basis $\{\varphi_i\}$, the weak form becomes
+
+!equation
+{\sum_{j}u_j\left(\mathcal{L}(\phi_j),\varphi_i\right)_{\Omega}=\left(f,\varphi_i\right)_{\Omega}}
+
+after variation over the test variable $v$. This can be expressed in matrix form by
+defining $A_{ij} = \left(\mathcal{L}(\phi_j), \varphi_i\right)_{\Omega}$ and
+${b_i=\left(f,\varphi_i\right)_{\Omega}}$.
+
+!equation
+{\sum_j A_{ij} u_j = b_i}
+
+[MFEMKernels](source/kernels/MFEMKernel.md) contribute domain integrators to the weak form, and
+[MFEMIntegratedBCs](source/bcs/MFEMIntegratedBC.md) contribute boundary integrators to the weak
+form. [`mfem::BilinearFormIntegrators`](https://mfem.org/bilininteg/) add contributions to
+$A_{ij}(\varphi_i, \phi_j)$ and [`mfem::LinearFormIntegrators`](https://mfem.org/lininteg/) add
+contributions to $b_i(\varphi_i)$ when assembled.
+
+## TimeDependentEquationSystem
+
+For transient problems, time derivatives $\dot{u}$ of the trial variables $u$ will also be
+present in the weak form.
+
+!equation
+\left(\mathcal{T}(\dot{u}), v\right)_{\Omega} + {\left(\mathcal{L}(u), v\right)_{\Omega}
+=\left(f,v\right)_{\Omega}\,\,\,\forall v \in V}
+
+Contributions to $\left(\mathcal{T}(\phi_j), \varphi_i\right)_{\Omega}$ are given by
+time derivative kernels such as
+ [MFEMTimeDerivativeMassKernel](source/kernels/MFEMTimeDerivativeMassKernel.md)
+
+Currently, transient problems in Platypus are solved using an implicit backwards Euler method.
+Denoting $u_n=u(t+\delta t)$, $u_{n-1}=u(t)$ and approximating
+$u(t+\delta t) \approx u(t) + \delta t \dot{u}(t+\delta t)$, we have
+
+!equation
+\left([\mathcal{T}+\delta t\mathcal{L}](\dot{u}_n), v\right)_{\Omega}
+=\left([f-\mathcal{L}(u_{n-1})],v\right)_{\Omega}\,\,\,\forall v \in V
diff --git a/framework/doc/content/source/mfem/executioners/MFEMExecutioner.md b/framework/doc/content/source/mfem/executioners/MFEMExecutioner.md
new file mode 100644
index 000000000000..2db465839752
--- /dev/null
+++ b/framework/doc/content/source/mfem/executioners/MFEMExecutioner.md
@@ -0,0 +1,26 @@
+# MFEMExecutioner
+
+## Summary
+
+Virtual base class for executioners used to solve MFEM FE problems.
+
+## Overview
+
+`MFEMExecutioner` is a purely virtual base class used to control the execution of MFEM FE problems.
+Importantly, use of an `MFEMExecutioner` derived `Executioner` allows for selection of the desired
+device and assembly strategy to use for the FE problem.
+
+Provided MFEM and its dependencies have been built with support for GPU backends (e.g. `cuda` or
+`hip`), they may be selected here to enable use of GPUs for solvers and during assembly.
+
+Selection of partial assembly levels is also supported to improve performance on GPUs; full
+description of the various assembly levels supported is available
+ [here](https://mfem.org/performance/).
+
+By default, legacy assembly of the FE problem on CPUs will be selected for robustness.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/diffusion.i block=Executioner
+
+!listing test/tests/kernels/diffusion_partial.i block=Executioner
diff --git a/framework/doc/content/source/mfem/executioners/MFEMSteady.md b/framework/doc/content/source/mfem/executioners/MFEMSteady.md
new file mode 100644
index 000000000000..6e79734342a1
--- /dev/null
+++ b/framework/doc/content/source/mfem/executioners/MFEMSteady.md
@@ -0,0 +1,21 @@
+# MFEMSteady
+
+!syntax description /Executioner/MFEMSteady
+
+## Overview
+
+`MFEMSteady` is the [`MFEMExecutioner`](MFEMExecutioner.md) type used to solve time independent MFEM
+finite element problems.
+
+As in all [`MFEMExecutioner`](MFEMExecutioner.md) derived classes, the desired device and assembly
+level to use during problem set-up and solution can be selected.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/diffusion.i block=Executioner
+
+!syntax parameters /Executioner/MFEMSteady
+
+!syntax inputs /Executioner/MFEMSteady
+
+!syntax children /Executioner/MFEMSteady
diff --git a/framework/doc/content/source/mfem/executioners/MFEMTransient.md b/framework/doc/content/source/mfem/executioners/MFEMTransient.md
new file mode 100644
index 000000000000..89e3a920ade9
--- /dev/null
+++ b/framework/doc/content/source/mfem/executioners/MFEMTransient.md
@@ -0,0 +1,26 @@
+# MFEMTransient
+
+## Summary
+
+!syntax description /Executioner/MFEMTransient
+
+## Overview
+
+`MFEMTransient` is the [`MFEMExecutioner`](MFEMExecutioner.md) type used to solve time dependent
+MFEM finite element problems.
+
+As in all [`MFEMExecutioner`](MFEMExecutioner.md) derived classes, the desired device and assembly
+level to use during problem set-up and solution can be selected.
+
+Currently, only simulations with constant timestep `dt` and an implicit backwards Euler timestepper
+are supported.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/heatconduction.i block=Executioner
+
+!syntax parameters /Executioner/MFEMTransient
+
+!syntax inputs /Executioner/MFEMTransient
+
+!syntax children /Executioner/MFEMTransient
diff --git a/framework/doc/content/source/mfem/fespaces/MFEMFECollection.md b/framework/doc/content/source/mfem/fespaces/MFEMFECollection.md
new file mode 100644
index 000000000000..c18da8a5a81e
--- /dev/null
+++ b/framework/doc/content/source/mfem/fespaces/MFEMFECollection.md
@@ -0,0 +1,16 @@
+# MFEMFECollection
+
+## Summary
+
+!syntax description /FESpaces/MFEMFECollection
+
+## Overview
+
+Defines a family of finite element shape functions which, along with a mesh choice, is used to
+define a finite element space for `MFEMVariable`s to use.
+
+!syntax parameters /FESpaces/MFEMFECollection
+
+!syntax inputs /FESpaces/MFEMFECollection
+
+!syntax children /FESpaces/MFEMFECollection
diff --git a/framework/doc/content/source/mfem/fespaces/MFEMFESpace.md b/framework/doc/content/source/mfem/fespaces/MFEMFESpace.md
new file mode 100644
index 000000000000..ef3ee799f7b6
--- /dev/null
+++ b/framework/doc/content/source/mfem/fespaces/MFEMFESpace.md
@@ -0,0 +1,22 @@
+# MFEMFESpace
+
+## Summary
+
+!syntax description /FESpaces/MFEMFESpace
+
+## Overview
+
+Defines a finite element space for MFEM which one or more `MFEMVariable`s can be defined with respect to.
+
+The family of shape functions is selected from the `fec_type` parameter, and the order is controlled
+using the `fec_order` parameter.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/diffusion.i block=FESpaces Variables
+
+!syntax parameters /FESpaces/MFEMFESpace
+
+!syntax inputs /FESpaces/MFEMFESpace
+
+!syntax children /FESpaces/MFEMFESpace
diff --git a/framework/doc/content/source/mfem/integrators/ScaleIntegrator.md b/framework/doc/content/source/mfem/integrators/ScaleIntegrator.md
new file mode 100644
index 000000000000..e74b6898445a
--- /dev/null
+++ b/framework/doc/content/source/mfem/integrators/ScaleIntegrator.md
@@ -0,0 +1,12 @@
+# ScaleIntegrator
+
+## Summary
+
+Forms an [`mfem::BilinearFormIntegrator`](https://mfem.org/bilininteg/) equal to a given
+[`mfem::BilinearFormIntegrator`](https://mfem.org/bilininteg/) multiplied by a real constant.
+
+## Overview
+
+Defines an [`mfem::BilinearFormIntegrator`](https://mfem.org/bilininteg/) defined from another
+[`mfem::BilinearFormIntegrator`](https://mfem.org/bilininteg/) multiplied by a real constant. Used
+for scaling existing integrators by a timestep in transient solves.
diff --git a/framework/doc/content/source/mfem/kernels/MFEMCurlCurlKernel.md b/framework/doc/content/source/mfem/kernels/MFEMCurlCurlKernel.md
new file mode 100644
index 000000000000..0ef9c895503e
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMCurlCurlKernel.md
@@ -0,0 +1,29 @@
+# MFEMCurlCurlKernel
+
+## Summary
+
+!syntax description /Kernels/MFEMCurlCurlKernel
+
+## Overview
+
+Adds the domain integrator for integrating the bilinear form
+
+!equation
+(k\vec\nabla \times \vec u, \vec\nabla \times \vec v)_\Omega \,\,\, \forall \vec v \in V
+
+where $\vec u, \vec v \in H(\mathrm{curl})$ and $k$ is a scalar coefficient.
+
+This term arises from the weak form of the curl curl operator
+
+!equation
+-\vec\nabla \times \left(k \vec\nabla \times \vec u\right)
+
+## Example Input File Syntax
+
+!listing curlcurl.i
+
+!syntax parameters /Kernels/MFEMCurlCurlKernel
+
+!syntax inputs /Kernels/MFEMCurlCurlKernel
+
+!syntax children /Kernels/MFEMCurlCurlKernel
diff --git a/framework/doc/content/source/mfem/kernels/MFEMDiffusionKernel.md b/framework/doc/content/source/mfem/kernels/MFEMDiffusionKernel.md
new file mode 100644
index 000000000000..5d88b52913fc
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMDiffusionKernel.md
@@ -0,0 +1,29 @@
+# MFEMDiffusionKernel
+
+## Summary
+
+!syntax description /Kernels/MFEMDiffusionKernel
+
+## Overview
+
+Adds the domain integrator for integrating the bilinear form
+
+!equation
+(k\vec\nabla u, \vec\nabla v)_\Omega \,\,\, \forall v \in V
+
+where $u, v \in H^1$ and $k$ is a scalar diffusivity coefficient.
+
+This term arises from the weak form of the Laplacian operator
+
+!equation
+- \vec\nabla \cdot \left( k \vec\nabla u \right)
+
+## Example Input File Syntax
+
+!listing kernels/diffusion.i
+
+!syntax parameters /Kernels/MFEMDiffusionKernel
+
+!syntax inputs /Kernels/MFEMDiffusionKernel
+
+!syntax children /Kernels/MFEMDiffusionKernel
diff --git a/framework/doc/content/source/mfem/kernels/MFEMDivDivKernel.md b/framework/doc/content/source/mfem/kernels/MFEMDivDivKernel.md
new file mode 100644
index 000000000000..5a89a658add0
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMDivDivKernel.md
@@ -0,0 +1,29 @@
+# MFEMDivDivKernel
+
+## Summary
+
+!syntax description /Kernels/MFEMDivDivKernel
+
+## Overview
+
+Adds the domain integrator for integrating the bilinear form
+
+!equation
+(k\vec\nabla \cdot \vec u, \vec\nabla \cdot \vec v)_\Omega \,\,\, \forall \vec v \in V
+
+where $\vec u, \vec v \in H(\mathrm{div})$ and $k$ is a scalar coefficient.
+
+This term arises from the weak form of the grad div operator
+
+!equation
+-\vec\nabla \left(k \vec\nabla \cdot \vec u\right)
+
+## Example Input File Syntax
+
+!listing graddiv.i
+
+!syntax parameters /Kernels/MFEMDivDivKernel
+
+!syntax inputs /Kernels/MFEMDivDivKernel
+
+!syntax children /Kernels/MFEMDivDivKernel
diff --git a/framework/doc/content/source/mfem/kernels/MFEMKernel.md b/framework/doc/content/source/mfem/kernels/MFEMKernel.md
new file mode 100644
index 000000000000..04f380a94444
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMKernel.md
@@ -0,0 +1,22 @@
+# MFEMKernel
+
+## Summary
+
+Base class for MFEM kernels applied to the weak form being solved.
+
+## Overview
+
+MFEM kernels are responsible for providing domain integrators (inheriting from
+`mfem::BilinearFormIntegrator` or `mfem::LinearFormIntegrator` to add to the weak form of the FE
+problem accumulated in [EquationSystem](source/equation_systems/equation_system.md), along with any
+required marker arrays to restrict the integrator(s) to subdomains.
+
+The integrator is applied to the weak form equation that is labeled according to the test variable
+name of the kernel returned from `getTestVariableName()`. In the case of bilinear (or nonlinear)
+forms, the trial variable that the integrator acts on is the variable returned from
+`getTrialVariableName()`. For consistency with MOOSE, and for the ease of associating weak form
+equations (labeled by test variable) with the trial variable solved using them, the set of test
+variable names is the same as the set of trial variable names for a square system.
+
+`MFEMKernel` is a purely virtual base class. Derived classes should override the `createIntegrator`
+ method to return an integrator to add to the `EquationSystem`.  
diff --git a/framework/doc/content/source/mfem/kernels/MFEMLinearElasticityKernel.md b/framework/doc/content/source/mfem/kernels/MFEMLinearElasticityKernel.md
new file mode 100644
index 000000000000..cf90867a51a9
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMLinearElasticityKernel.md
@@ -0,0 +1,45 @@
+# MFEMLinearElasticityKernel
+
+## Summary
+
+!syntax description /Kernels/MFEMLinearElasticityKernel
+
+## Overview
+
+Adds the domain integrator for integrating the bilinear form
+
+!equation
+(\sigma_{ij}, \partial_j v_i)_\Omega \,\,\, \forall v_i \in V
+
+where $v_i \in H^1$, and $\sigma$ is the stress tensor of a material with an isotropic stress/strain
+relation, with components given by
+
+!equation
+\sigma_{ij} \equiv C_{ijkl} \varepsilon_{kl} = \lambda \delta_{ij} \varepsilon_{kk} + 2 \mu \varepsilon_{ij}
+
+and
+
+!equation
+\varepsilon_{ij} = \frac{1}{2} \left(\partial_i u_j + \partial_j u_i\right)
+
+noting that the Einstein summation convention has been used throughout.
+
+The two material-dependent Lamé parameters $\lambda$ and $\mu$ can be expressed in terms of the
+material Young's modulus $E$ and the Poisson ratio $\nu$ using
+
+\begin{equation}
+\begin{split}
+\lambda &= \frac{E\nu}{(1-2\nu)(1+\nu)} \\
+\mu &= \frac{E}{2(1+\nu)}
+\end{split}
+\end{equation}
+
+## Example Input File Syntax
+
+!listing kernels/linearelasticity.i
+
+!syntax parameters /Kernels/MFEMLinearElasticityKernel
+
+!syntax inputs /Kernels/MFEMLinearElasticityKernel
+
+!syntax children /Kernels/MFEMLinearElasticityKernel
diff --git a/framework/doc/content/source/mfem/kernels/MFEMMassKernel.md b/framework/doc/content/source/mfem/kernels/MFEMMassKernel.md
new file mode 100644
index 000000000000..4b4cf8cdfe1c
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMMassKernel.md
@@ -0,0 +1,25 @@
+# MFEMMassKernel
+
+## Summary
+
+!syntax description /Kernels/MFEMMassKernel
+
+## Overview
+
+Adds the domain integrator for integrating the bilinear form
+
+!equation
+(k u, v)_\Omega \,\,\, \forall v \in V
+
+where $u, v \in H^1$ and $k$ is a scalar mass coefficient.
+
+This term arises from the weak form of the mass operator
+
+!equation
+k u
+
+!syntax parameters /Kernels/MFEMMassKernel
+
+!syntax inputs /Kernels/MFEMMassKernel
+
+!syntax children /Kernels/MFEMMassKernel
diff --git a/framework/doc/content/source/mfem/kernels/MFEMMixedVectorGradientKernel.md b/framework/doc/content/source/mfem/kernels/MFEMMixedVectorGradientKernel.md
new file mode 100644
index 000000000000..e754bb3c2ea7
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMMixedVectorGradientKernel.md
@@ -0,0 +1,26 @@
+# MFEMMixedVectorGradientKernel
+
+## Summary
+
+!syntax description /Kernels/MFEMMixedVectorGradientKernel
+
+## Overview
+
+Adds the domain integrator for integrating the mixed bilinear form
+
+!equation
+(k \vec \nabla u, \vec v)_\Omega \,\,\, \forall \vec v \in V
+
+where $u \in H^1$, $\vec v \in H(\mathrm{curl})$ or $H(\mathrm{div})$, and $k$ is a scalar
+coefficient.
+
+This term arises from the weak form of the gradient operator
+
+!equation
+k \vec\nabla u
+
+!syntax parameters /Kernels/MFEMMixedVectorGradientKernel
+
+!syntax inputs /Kernels/MFEMMixedVectorGradientKernel
+
+!syntax children /Kernels/MFEMMixedVectorGradientKernel
diff --git a/framework/doc/content/source/mfem/kernels/MFEMTimeDerivativeMassKernel.md b/framework/doc/content/source/mfem/kernels/MFEMTimeDerivativeMassKernel.md
new file mode 100644
index 000000000000..c4b80cca9ed1
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMTimeDerivativeMassKernel.md
@@ -0,0 +1,29 @@
+# MFEMTimeDerivativeMassKernel
+
+## Summary
+
+!syntax description /Kernels/MFEMTimeDerivativeMassKernel
+
+## Overview
+
+Adds the domain integrator for integrating the bilinear form
+
+!equation
+(k \dot{u}, v)_\Omega \,\,\, \forall v \in V
+
+where $\dot{u}, v \in H^1$ and $k$ is a scalar coefficient.
+
+This term arises from the weak form of the operator
+
+!equation
+k \dot{u}
+
+## Example Input File Syntax
+
+!listing kernels/heatconduction.i
+
+!syntax parameters /Kernels/MFEMTimeDerivativeMassKernel
+
+!syntax inputs /Kernels/MFEMTimeDerivativeMassKernel
+
+!syntax children /Kernels/MFEMTimeDerivativeMassKernel
diff --git a/framework/doc/content/source/mfem/kernels/MFEMVectorDomainLFKernel.md b/framework/doc/content/source/mfem/kernels/MFEMVectorDomainLFKernel.md
new file mode 100644
index 000000000000..d7d4c980f9ec
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMVectorDomainLFKernel.md
@@ -0,0 +1,28 @@
+# MFEMVectorDomainLFKernel
+
+!syntax description /Kernels/MFEMVectorDomainLFKernel
+
+## Overview
+
+Adds the domain integrator for integrating the linear form
+
+!equation
+(\vec f, \vec v)_\Omega \,\,\, \forall \vec v \in V
+
+where $\vec v \in \vec H^1$ is the test variable and $\vec f$ is a
+vector forcing coefficient.
+
+This term arises from the weak form of the forcing term
+
+!equation
+\vec f
+
+## Example Input File Syntax
+
+!listing kernels/gravity.i
+
+!syntax parameters /Kernels/MFEMVectorDomainLFKernel
+
+!syntax inputs /Kernels/MFEMVectorDomainLFKernel
+
+!syntax children /Kernels/MFEMVectorDomainLFKernel
diff --git a/framework/doc/content/source/mfem/kernels/MFEMVectorFEDomainLFKernel.md b/framework/doc/content/source/mfem/kernels/MFEMVectorFEDomainLFKernel.md
new file mode 100644
index 000000000000..a7e837c0dac8
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMVectorFEDomainLFKernel.md
@@ -0,0 +1,28 @@
+# MFEMVectorFEDomainLFKernel
+
+!syntax description /Kernels/MFEMVectorFEDomainLFKernel
+
+## Overview
+
+Adds the domain integrator for integrating the linear form
+
+!equation
+(\vec f, \vec v)_\Omega \,\,\, \forall \vec v \in V
+
+where $\vec v \in H(\mathrm{curl})$ or $H(\mathrm{div})$ is the test variable and $\vec f$ is a
+vector forcing coefficient.
+
+This term arises from the weak form of the forcing term
+
+!equation
+\vec f
+
+## Example Input File Syntax
+
+!listing kernels/curlcurl.i
+
+!syntax parameters /Kernels/MFEMVectorFEDomainLFKernel
+
+!syntax inputs /Kernels/MFEMVectorFEDomainLFKernel
+
+!syntax children /Kernels/MFEMVectorFEDomainLFKernel
diff --git a/framework/doc/content/source/mfem/kernels/MFEMVectorFEMassKernel.md b/framework/doc/content/source/mfem/kernels/MFEMVectorFEMassKernel.md
new file mode 100644
index 000000000000..4724b8440c71
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMVectorFEMassKernel.md
@@ -0,0 +1,29 @@
+# MFEMVectorFEMassKernel
+
+## Summary
+
+!syntax description /Kernels/MFEMVectorFEMassKernel
+
+## Overview
+
+Adds the domain integrator for integrating the bilinear form
+
+!equation
+(k \vec u, \vec v)_\Omega \,\,\, \forall \vec v \in V
+
+where $\vec u, \vec v \in H(\mathrm{curl})$ or $H(\mathrm{div})$, and $k$ is a scalar coefficient.
+
+This term arises from the weak form of the mass operator
+
+!equation
+k \vec u
+
+## Example Input File Syntax
+
+!listing kernels/curlcurl.i
+
+!syntax parameters /Kernels/MFEMVectorFEMassKernel
+
+!syntax inputs /Kernels/MFEMVectorFEMassKernel
+
+!syntax children /Kernels/MFEMVectorFEMassKernel
diff --git a/framework/doc/content/source/mfem/kernels/MFEMVectorFEWeakDivergenceKernel.md b/framework/doc/content/source/mfem/kernels/MFEMVectorFEWeakDivergenceKernel.md
new file mode 100644
index 000000000000..556584c83b77
--- /dev/null
+++ b/framework/doc/content/source/mfem/kernels/MFEMVectorFEWeakDivergenceKernel.md
@@ -0,0 +1,26 @@
+# MFEMVectorFEWeakDivergenceKernel
+
+## Summary
+
+!syntax description /Kernels/MFEMVectorFEWeakDivergenceKernel
+
+## Overview
+
+Adds the domain integrator for integrating the mixed bilinear form
+
+!equation
+-(k \vec u, \vec\nabla v)_\Omega \,\,\, \forall v \in V
+
+where $\vec u \in H(\mathrm{curl})$ or $H(\mathrm{div})$, $v \in H^1$, and $k$ is a scalar
+coefficient.
+
+This term arises from the weak form of the divergence operator
+
+!equation
+\vec\nabla \cdot \left(k \vec u\right)
+
+!syntax parameters /Kernels/MFEMVectorFEWeakDivergenceKernel
+
+!syntax inputs /Kernels/MFEMVectorFEWeakDivergenceKernel
+
+!syntax children /Kernels/MFEMVectorFEWeakDivergenceKernel
diff --git a/framework/doc/content/source/mfem/materials/MFEMGenericConstantMaterial.md b/framework/doc/content/source/mfem/materials/MFEMGenericConstantMaterial.md
new file mode 100644
index 000000000000..f57aba25138a
--- /dev/null
+++ b/framework/doc/content/source/mfem/materials/MFEMGenericConstantMaterial.md
@@ -0,0 +1,22 @@
+# MFEMGenericConstantMaterial
+
+## Summary
+
+!syntax description /Materials/MFEMGenericConstantMaterial
+
+## Overview
+
+`MFEMGenericConstantMaterial` defines one or more scalar material properties with constant values on
+one or more subdomains of the mesh, given by the `blocks` parameter if provided, or applied to the
+entire mesh if missing. The scalar material properties are named according to members in the
+`prop_names` parameter, with respective (constant) values given by the members of `prop_values`.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/heatconduction.i block=Materials
+
+!syntax parameters /Materials/MFEMGenericConstantMaterial
+
+!syntax inputs /Materials/MFEMGenericConstantMaterial
+
+!syntax children /Materials/MFEMGenericConstantMaterial
diff --git a/framework/doc/content/source/mfem/materials/MFEMGenericConstantVectorMaterial.md b/framework/doc/content/source/mfem/materials/MFEMGenericConstantVectorMaterial.md
new file mode 100644
index 000000000000..14ea4591df03
--- /dev/null
+++ b/framework/doc/content/source/mfem/materials/MFEMGenericConstantVectorMaterial.md
@@ -0,0 +1,20 @@
+# MFEMGenericConstantVectorMaterial
+
+## Summary
+
+!syntax description /Materials/MFEMGenericConstantVectorMaterial
+
+## Overview
+
+`MFEMGenericConstantVectorMaterial` defines one or more vector material properties with constant
+values on one or more subdomains of the mesh, given by the `blocks` parameter if provided, or
+applied to the entire mesh if missing. The vector material properties are named according to members
+in the `prop_names` parameter, with constant property values given by the members of `prop_values`.
+The number of `prop_values` should be the number of `prop_names` multiplied by number of vector
+components, assumed to be the mesh dimension.
+
+!syntax parameters /Materials/MFEMGenericConstantVectorMaterial
+
+!syntax inputs /Materials/MFEMGenericConstantVectorMaterial
+
+!syntax children /Materials/MFEMGenericConstantVectorMaterial
diff --git a/framework/doc/content/source/mfem/materials/MFEMGenericFunctionMaterial.md b/framework/doc/content/source/mfem/materials/MFEMGenericFunctionMaterial.md
new file mode 100644
index 000000000000..3eaf69b232ba
--- /dev/null
+++ b/framework/doc/content/source/mfem/materials/MFEMGenericFunctionMaterial.md
@@ -0,0 +1,18 @@
+# MFEMGenericFunctionMaterial
+
+## Summary
+
+!syntax description /Materials/MFEMGenericFunctionMaterial
+
+## Overview
+
+`MFEMGenericFunctionMaterial` defines one or more scalar material properties with values obtained from MOOSE functions on
+one or more subdomains of the mesh, given by the `blocks` parameter if provided, or applied to the
+entire mesh if missing. The scalar material properties are named according to members in the
+`prop_names` parameter, with respective functions used to get property values given by the members of `prop_values`.
+
+!syntax parameters /Materials/MFEMGenericFunctionMaterial
+
+!syntax inputs /Materials/MFEMGenericFunctionMaterial
+
+!syntax children /Materials/MFEMGenericFunctionMaterial
diff --git a/framework/doc/content/source/mfem/materials/MFEMGenericFunctionVectorMaterial.md b/framework/doc/content/source/mfem/materials/MFEMGenericFunctionVectorMaterial.md
new file mode 100644
index 000000000000..c7e70d2c2c87
--- /dev/null
+++ b/framework/doc/content/source/mfem/materials/MFEMGenericFunctionVectorMaterial.md
@@ -0,0 +1,20 @@
+# MFEMGenericFunctionVectorMaterial
+
+## Summary
+
+!syntax description /Materials/MFEMGenericFunctionVectorMaterial
+
+## Overview
+
+`MFEMGenericFunctionVectorMaterial` defines one or more vector material properties with values
+obtained from MOOSE functions on one or more subdomains of the mesh, given by the `blocks` parameter
+if provided, or applied to the entire mesh if missing. The vector material properties are named
+according to members in the `prop_names` parameter, with respective functions used to get property
+values given by the members of `prop_values`. The functions in `prop_names` must be vector-valued
+functions.
+
+!syntax parameters /Materials/MFEMGenericFunctionVectorMaterial
+
+!syntax inputs /Materials/MFEMGenericFunctionVectorMaterial
+
+!syntax children /Materials/MFEMGenericFunctionVectorMaterial
diff --git a/framework/doc/content/source/mfem/materials/MFEMMaterial.md b/framework/doc/content/source/mfem/materials/MFEMMaterial.md
new file mode 100644
index 000000000000..f9acdf8ee695
--- /dev/null
+++ b/framework/doc/content/source/mfem/materials/MFEMMaterial.md
@@ -0,0 +1,25 @@
+# MFEMMaterial
+
+## Summary
+
+!syntax description /Materials/MFEMMaterial
+
+## Overview
+
+`MFEMMaterial` is the base class for materials defined for MFEM problems. They may be defined on one
+or more subdomains (blocks); if no subdomains are provided, the material will be applied on all
+subdomains in the mesh.
+
+`MFEMMaterial` is intended to allow the specification of `mfem::Coefficient`,
+`mfem::VectorCoefficient`, and `mfem::MatrixCoefficient` objects to add to the MFEM problem in a
+manner consistent with the standard MOOSE Materials system.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/diffusion.i block=Materials
+
+!syntax parameters /Materials/MFEMMaterial
+
+!syntax inputs /Materials/MFEMMaterial
+
+!syntax children /Materials/MFEMMaterial
diff --git a/framework/doc/content/source/mfem/mesh/MFEMMesh.md b/framework/doc/content/source/mfem/mesh/MFEMMesh.md
new file mode 100644
index 000000000000..92e39033bf1a
--- /dev/null
+++ b/framework/doc/content/source/mfem/mesh/MFEMMesh.md
@@ -0,0 +1,26 @@
+# MFEMMesh
+
+## Summary
+
+!syntax description /Mesh/MFEMMesh
+
+## Overview
+
+`MFEMMesh` is responsible for building an `mfem::ParMesh` object from the provided mesh input file
+for use in an `MFEMProblem`. Exodus files are supported, along with other mesh formats listed
+ [here](https://mfem.org/mesh-formats/).
+
+As MOOSE checks for the existence of a `libMesh` MOOSE mesh at various points during setup,
+`MFEMMesh` currently builds an dummy MOOSE mesh of a single quad alongside the MFEM mesh. This dummy
+mesh should not be used in an `MFEMProblem`; all MFEM objects should access the `mfem::ParMesh` via
+the `getMFEMParMesh()` accessor as needed.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/diffusion.i block=Problem Mesh
+
+!syntax parameters /Mesh/MFEMMesh
+
+!syntax inputs /Mesh/MFEMMesh
+
+!syntax children /Mesh/MFEMMesh
diff --git a/framework/doc/content/source/mfem/outputs/MFEMConduitDataCollection.md b/framework/doc/content/source/mfem/outputs/MFEMConduitDataCollection.md
new file mode 100644
index 000000000000..4286b04a551f
--- /dev/null
+++ b/framework/doc/content/source/mfem/outputs/MFEMConduitDataCollection.md
@@ -0,0 +1,23 @@
+# MFEMConduitDataCollection
+
+## Summary
+
+!syntax description /Outputs/MFEMConduitDataCollection
+
+## Overview
+
+`MFEMDataCollection` controlling output of data to an `mfem::ConduitDataCollection` for visualisation
+in VisIt. Conduit output is typically significantly faster than other data collections since VisIt uses
+the MFEM FE types for visualisation, and ParaViewDataCollection oversamples the degrees of freedom.
+
+The user may choose the output protocol out of the following options: `hdf5`, `json`, `conduit_json`, and `conduit_bin`.
+
+## Example Input File Syntax
+
+!listing test/tests/outputs/datacollections.i block=Outputs/ConduitDataCollection
+
+!syntax parameters /Outputs/MFEMConduitDataCollection
+
+!syntax inputs /Outputs/MFEMConduitDataCollection
+
+!syntax children /Outputs/MFEMConduitDataCollection
diff --git a/framework/doc/content/source/mfem/outputs/MFEMDataCollection.md b/framework/doc/content/source/mfem/outputs/MFEMDataCollection.md
new file mode 100644
index 000000000000..bb430d620c39
--- /dev/null
+++ b/framework/doc/content/source/mfem/outputs/MFEMDataCollection.md
@@ -0,0 +1,19 @@
+# MFEMDataCollection
+
+## Summary
+
+Base class for MFEM DataCollection outputs.
+
+## Overview
+
+Virtual base class for classes that write out to `mfem::DataCollection` objects using MOOSE's
+`Output` system. Output interval and triggers for writing to file can be controlled with the
+`execute_on` and `interval` parameters, consistent with other MOOSE Outputs [as seen
+here.](https://mooseframework.inl.gov/syntax/Outputs/index.html)
+
+Child classes should override the `getDataCollection()` method to return a reference to the
+`mfem::DataCollection` being written to at each output step.
+
+## Example Input File Syntax
+
+!listing test/tests/outputs/datacollections.i block=Outputs
diff --git a/framework/doc/content/source/mfem/outputs/MFEMParaViewDataCollection.md b/framework/doc/content/source/mfem/outputs/MFEMParaViewDataCollection.md
new file mode 100644
index 000000000000..5e9b06bbef1c
--- /dev/null
+++ b/framework/doc/content/source/mfem/outputs/MFEMParaViewDataCollection.md
@@ -0,0 +1,25 @@
+# MFEMParaViewDataCollection
+
+## Summary
+
+!syntax description /Outputs/MFEMParaViewDataCollection
+
+## Overview
+
+`MFEMDataCollection` controlling output of data to an `mfem::ParaViewDataCollection` for
+visualisation in ParaView. The VTK output format can be chosen (ASCII, BINARY, or BINARY32) as well
+as whether to output the data on high-order elements or on a refined set of output points.
+
+Many of Platypus's tests use ASCII MFEMParaViewDataCollection outputs for portability of the
+reference files on different systems; however, for speed, it is recommended to prefer use of the
+BINARY VTK format.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/diffusion.i block=Outputs
+
+!syntax parameters /Outputs/MFEMParaViewDataCollection
+
+!syntax inputs /Outputs/MFEMParaViewDataCollection
+
+!syntax children /Outputs/MFEMParaViewDataCollection
diff --git a/framework/doc/content/source/mfem/outputs/MFEMVisItDataCollection.md b/framework/doc/content/source/mfem/outputs/MFEMVisItDataCollection.md
new file mode 100644
index 000000000000..04757b752f40
--- /dev/null
+++ b/framework/doc/content/source/mfem/outputs/MFEMVisItDataCollection.md
@@ -0,0 +1,21 @@
+# MFEMVisItDataCollection
+
+## Summary
+
+!syntax description /Outputs/MFEMVisItDataCollection
+
+## Overview
+
+`MFEMDataCollection` controlling output of data to an `mfem::VisItDataCollection` for visualisation
+in VisIt. The user may choose whether to output on a refined set of output points if oversampling of
+output fields is desired.
+
+## Example Input File Syntax
+
+!listing test/tests/outputs/datacollections.i block=Outputs/VisItDataCollection
+
+!syntax parameters /Outputs/MFEMVisItDataCollection
+
+!syntax inputs /Outputs/MFEMVisItDataCollection
+
+!syntax children /Outputs/MFEMVisItDataCollection
diff --git a/framework/doc/content/source/mfem/problem/MFEMProblem.md b/framework/doc/content/source/mfem/problem/MFEMProblem.md
new file mode 100644
index 000000000000..0af617cd9836
--- /dev/null
+++ b/framework/doc/content/source/mfem/problem/MFEMProblem.md
@@ -0,0 +1,30 @@
+# MFEMProblem
+
+## Summary
+
+!syntax description /Problem/MFEMProblem
+
+## Overview
+
+`MFEMProblem` is derived from MOOSE's `ExternalProblem` Problem type, customised to set up the
+ finite element problem using the MFEM FE library instead of MOOSE's default libMesh. Use of MFEM
+ allows problem assembly and solution on GPU architectures as well as on CPU; desired device can be
+ controlled by the [`MFEMExecutioner`](MFEMExecutioner.md) used to solve the problem.
+
+`MFEMProblem` methods are called by `Actions` during parsing of the user's input file, which add
+ and/or initialize members of the owned [MFEMProblemData](source/problem/MFEMProblemData.md) struct.
+The order in which these actions are executed respects the dependencies declared in
+ [PlatypusApp](source/base/PlatypusApp.md).
+
+## Example Input File Syntax
+
+In order to build the FE problem using the MFEM library on the backend, the `MFEMProblem` type must
+ be used in `Problem` block in the user input.
+
+!listing test/tests/kernels/diffusion.i block=Problem
+
+!syntax parameters /Problem/MFEMProblem
+
+!syntax inputs /Problem/MFEMProblem
+
+!syntax children /Problem/MFEMProblem
diff --git a/framework/doc/content/source/mfem/problem/MFEMProblemData.md b/framework/doc/content/source/mfem/problem/MFEMProblemData.md
new file mode 100644
index 000000000000..2e7712bba660
--- /dev/null
+++ b/framework/doc/content/source/mfem/problem/MFEMProblemData.md
@@ -0,0 +1,12 @@
+# MFEMProblemData
+
+## Summary
+
+`MFEMProblemData` stores and owns the required data associated with a snapshot of the MFEM finite element problem.
+
+## Overview
+
+Data stored in the `MFEMProblemData` struct is built and added to by builder methods in
+[`MFEMProblem`](problem/MFEMProblem.md).
+
+!listing include/problem/MFEMProblemData.h
diff --git a/framework/doc/content/source/mfem/problem_operators/problem_operator.md b/framework/doc/content/source/mfem/problem_operators/problem_operator.md
new file mode 100644
index 000000000000..c1bd97359ba5
--- /dev/null
+++ b/framework/doc/content/source/mfem/problem_operators/problem_operator.md
@@ -0,0 +1,11 @@
+# ProblemOperator
+
+## Summary
+
+`ProblemOperator` objects are
+[`mfem::Operator`](https://docs.mfem.org/html/classmfem_1_1Operator.html) that are called inside
+[`MFEMExecutioner`](MFEMExecutioner.md) to solve a step of the FE problem and update the
+[`mfem::BlockVector`](https://docs.mfem.org/html/classmfem_1_1BlockVector.html) storing the true
+degrees of freedom of all variables.
+
+For more information on usage, see [`MFEMExecutioner`](MFEMExecutioner.md) and its derived classes.
diff --git a/framework/doc/content/source/mfem/solvers/MFEMCGSolver.md b/framework/doc/content/source/mfem/solvers/MFEMCGSolver.md
new file mode 100644
index 000000000000..a6aaf4bf2ba9
--- /dev/null
+++ b/framework/doc/content/source/mfem/solvers/MFEMCGSolver.md
@@ -0,0 +1,16 @@
+# MFEMCGSolver
+
+## Summary
+
+!syntax description /Solver/MFEMCGSolver
+
+## Overview
+
+Defines and builds an `mfem::CGSolver` solver to use as an iterative solver to solve the MFEM
+equation system. Compatible with use on partially assembled equation systems.
+
+!syntax parameters /Solver/MFEMCGSolver
+
+!syntax inputs /Solver/MFEMCGSolver
+
+!syntax children /Solver/MFEMCGSolver
diff --git a/framework/doc/content/source/mfem/solvers/MFEMGMRESSolver.md b/framework/doc/content/source/mfem/solvers/MFEMGMRESSolver.md
new file mode 100644
index 000000000000..298e661f679b
--- /dev/null
+++ b/framework/doc/content/source/mfem/solvers/MFEMGMRESSolver.md
@@ -0,0 +1,16 @@
+# MFEMGMRESSolver
+
+## Summary
+
+!syntax description /Solver/MFEMGMRESSolver
+
+## Overview
+
+Defines and builds an `mfem::GMRESSolver` solver to use as an iterative solver to solve the MFEM
+equation system. Compatible with use on partially assembled equation systems.
+
+!syntax parameters /Solver/MFEMGMRESSolver
+
+!syntax inputs /Solver/MFEMGMRESSolver
+
+!syntax children /Solver/MFEMGMRESSolver
diff --git a/framework/doc/content/source/mfem/solvers/MFEMHypreADS.md b/framework/doc/content/source/mfem/solvers/MFEMHypreADS.md
new file mode 100644
index 000000000000..a1677534bac0
--- /dev/null
+++ b/framework/doc/content/source/mfem/solvers/MFEMHypreADS.md
@@ -0,0 +1,22 @@
+# MFEMHypreADS
+
+## Summary
+
+!syntax description /Solver/MFEMHypreADS
+
+## Overview
+
+Defines and builds an `mfem::HypreADS` solver to use as a preconditioner or solver to solve the
+MFEM equation system. Most effective for preconditioning and solving a grad-divergence problem when using
+Raviart-Thomas elements, in which case the $H(\mathrm{div})$ FE space should be passed to the
+`mfem::HypreADS` solver during construction.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/graddiv.i block=FESpace Preconditioner Solver
+
+!syntax parameters /Solver/MFEMHypreADS
+
+!syntax inputs /Solver/MFEMHypreADS
+
+!syntax children /Solver/MFEMHypreADS
diff --git a/framework/doc/content/source/mfem/solvers/MFEMHypreAMS.md b/framework/doc/content/source/mfem/solvers/MFEMHypreAMS.md
new file mode 100644
index 000000000000..005e6c6851b8
--- /dev/null
+++ b/framework/doc/content/source/mfem/solvers/MFEMHypreAMS.md
@@ -0,0 +1,26 @@
+# MFEMHypreAMS
+
+## Summary
+
+!syntax description /Solver/MFEMHypreAMS
+
+## Overview
+
+Defines and builds an `mfem::HypreAMS` solver to use as a preconditioner or solver to solve the
+MFEM equation system. Most effective for preconditioning and solving a curl-curl problem when using
+Nédélec elements, in which case the $H(\mathrm{curl})$ FE space should be passed to the
+`mfem::HypreAMS` solver during construction.
+
+If the system of equations is singular - commonly arising, for example, when solving for the
+magnetic vector potential in magnetostatic systems in the steady state - users should set the
+`singular` parameter to `true` to add a small mass term to ensure solvability.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/curlcurl.i block=FESpace Preconditioner Solver
+
+!syntax parameters /Solver/MFEMHypreAMS
+
+!syntax inputs /Solver/MFEMHypreAMS
+
+!syntax children /Solver/MFEMHypreAMS
diff --git a/framework/doc/content/source/mfem/solvers/MFEMHypreBoomerAMG.md b/framework/doc/content/source/mfem/solvers/MFEMHypreBoomerAMG.md
new file mode 100644
index 000000000000..6d9e679bc856
--- /dev/null
+++ b/framework/doc/content/source/mfem/solvers/MFEMHypreBoomerAMG.md
@@ -0,0 +1,19 @@
+# MFEMHypreBoomerAMG
+
+## Summary
+
+!syntax description /Solver/MFEMHypreBoomerAMG
+
+## Overview
+
+Defines and builds an `mfem::HypreBoomerAMG` solver to use as a preconditioner or solver to solve the MFEM equation system.
+
+## Example Input File Syntax
+
+!listing test/tests/kernels/diffusion.i block=Preconditioner Solver
+
+!syntax parameters /Solver/MFEMHypreBoomerAMG
+
+!syntax inputs /Solver/MFEMHypreBoomerAMG
+
+!syntax children /Solver/MFEMHypreBoomerAMG
diff --git a/framework/doc/content/source/mfem/solvers/MFEMHypreFGMRES.md b/framework/doc/content/source/mfem/solvers/MFEMHypreFGMRES.md
new file mode 100644
index 000000000000..16292b451b37
--- /dev/null
+++ b/framework/doc/content/source/mfem/solvers/MFEMHypreFGMRES.md
@@ -0,0 +1,17 @@
+# MFEMHypreFGMRES
+
+## Summary
+
+!syntax description /Solver/MFEMHypreFGMRES
+
+## Overview
+
+Defines and builds an `mfem::HypreFGMRES` solver to use as an iterative solver to solve the MFEM equation system.
+
+Not compatible with use on partially assembled equation systems.
+
+!syntax parameters /Solver/MFEMHypreFGMRES
+
+!syntax inputs /Solver/MFEMHypreFGMRES
+
+!syntax children /Solver/MFEMHypreFGMRES
diff --git a/framework/doc/content/source/mfem/solvers/MFEMHypreGMRES.md b/framework/doc/content/source/mfem/solvers/MFEMHypreGMRES.md
new file mode 100644
index 000000000000..c52c91f2c9d3
--- /dev/null
+++ b/framework/doc/content/source/mfem/solvers/MFEMHypreGMRES.md
@@ -0,0 +1,18 @@
+# MFEMHypreGMRES
+
+## Summary
+
+!syntax description /Solver/MFEMHypreGMRES
+
+## Overview
+
+Defines and builds an `mfem::HypreGMRES` solver to use as an iterative solver to solve the MFEM
+equation system.
+
+Not compatible with use on partially assembled equation systems.
+
+!syntax parameters /Solver/MFEMHypreGMRES
+
+!syntax inputs /Solver/MFEMHypreGMRES
+
+!syntax children /Solver/MFEMHypreGMRES
diff --git a/framework/doc/content/source/mfem/solvers/MFEMHyprePCG.md b/framework/doc/content/source/mfem/solvers/MFEMHyprePCG.md
new file mode 100644
index 000000000000..8ce3b8d086d8
--- /dev/null
+++ b/framework/doc/content/source/mfem/solvers/MFEMHyprePCG.md
@@ -0,0 +1,17 @@
+# MFEMHyprePCG
+
+## Summary
+
+!syntax description /Solver/MFEMHyprePCG
+
+## Overview
+
+Defines and builds an `mfem::HyprePCG` solver to use as an iterative solver to solve the MFEM equation system.
+
+Not compatible with use on partially assembled equation systems.
+
+!syntax parameters /Solver/MFEMHyprePCG
+
+!syntax inputs /Solver/MFEMHyprePCG
+
+!syntax children /Solver/MFEMHyprePCG
diff --git a/framework/doc/content/source/mfem/solvers/MFEMOperatorJacobiSmoother.md b/framework/doc/content/source/mfem/solvers/MFEMOperatorJacobiSmoother.md
new file mode 100644
index 000000000000..74d90de16ddb
--- /dev/null
+++ b/framework/doc/content/source/mfem/solvers/MFEMOperatorJacobiSmoother.md
@@ -0,0 +1,16 @@
+# MFEMOperatorJacobiSmoother
+
+## Summary
+
+!syntax description /Solver/MFEMOperatorJacobiSmoother
+
+## Overview
+
+Defines and builds an `mfem::OperatorJacobiSmoother` solver to use to perform Jacobi iterations on
+the MFEM equation system. Most often used as a preconditioner, compatible with partial assembly.
+
+!syntax parameters /Solver/MFEMOperatorJacobiSmoother
+
+!syntax inputs /Solver/MFEMOperatorJacobiSmoother
+
+!syntax children /Solver/MFEMOperatorJacobiSmoother
diff --git a/framework/doc/content/source/mfem/solvers/MFEMSolverBase.md b/framework/doc/content/source/mfem/solvers/MFEMSolverBase.md
new file mode 100644
index 000000000000..a06057b57854
--- /dev/null
+++ b/framework/doc/content/source/mfem/solvers/MFEMSolverBase.md
@@ -0,0 +1,15 @@
+# MFEMSolverBase
+
+## Summary
+
+Base class for `mfem::Solver` objects to use in MFEM problems.
+
+## Overview
+
+Classes derived from `MFEMSolverBase` can usually be used as preconditioners or linear solvers; the
+`constructSolver` method should be overridden to construct a `shared_ptr` to an `mfem::Solver`
+derived object, and the `getSolver` method should return the `shared_ptr` for use during a solve.
+
+Problem-specific information - such as finite element spaces used in the set-up of some
+preconditioners - can be passed to the `mfem::Solver` at construction time.
+
diff --git a/framework/doc/content/source/mfem/solvers/MFEMSuperLU.md b/framework/doc/content/source/mfem/solvers/MFEMSuperLU.md
new file mode 100644
index 000000000000..8748a4c13690
--- /dev/null
+++ b/framework/doc/content/source/mfem/solvers/MFEMSuperLU.md
@@ -0,0 +1,15 @@
+# MFEMSuperLU
+
+## Summary
+
+!syntax description /Solver/MFEMSuperLU
+
+## Overview
+
+Defines and builds an `mfem::SuperLUSolver` to use as a direct solver to solve the MFEM equation system.
+
+!syntax parameters /Solver/MFEMSuperLU
+
+!syntax inputs /Solver/MFEMSuperLU
+
+!syntax children /Solver/MFEMSuperLU
diff --git a/framework/doc/content/source/mfem/userobjects/MFEMGeneralUserObject.md b/framework/doc/content/source/mfem/userobjects/MFEMGeneralUserObject.md
new file mode 100644
index 000000000000..6933425b61f3
--- /dev/null
+++ b/framework/doc/content/source/mfem/userobjects/MFEMGeneralUserObject.md
@@ -0,0 +1,16 @@
+# MFEMGeneralUserObject
+
+!syntax description /UserObjects/MFEMGeneralUserObject
+
+## Overview
+
+`MFEMGeneralUserObject` is a base class for general MFEM user objects, derived from
+`GeneralUserObject`. `MFEMGeneralUserObject` adds the `getMFEMProblem()` method for fetching the a
+reference to the [`MFEMProblem`](problem/MFEMProblem.md) directly, to minimise the number of casts
+required.
+
+!syntax parameters /UserObjects/MFEMGeneralUserObject
+
+!syntax inputs /UserObjects/MFEMGeneralUserObject
+
+!syntax children /UserObjects/MFEMGeneralUserObject
diff --git a/framework/doc/content/source/mfem/utils/ObjectManager.md b/framework/doc/content/source/mfem/utils/ObjectManager.md
new file mode 100644
index 000000000000..c5533f1b1d1e
--- /dev/null
+++ b/framework/doc/content/source/mfem/utils/ObjectManager.md
@@ -0,0 +1,17 @@
+# ObjectManager
+
+## Summary
+
+`ObjectManager` is a factory class used to create tracked objects in Platypus.
+
+## Overview
+
+`ObjectManager` is used to create and manage tracked objects in Platypus. Iterator methods are
+provided to allow access to all of the objects that have been created.
+
+`ObjectManager` objects are used to create and store `mfem::Coefficient`, `mfem::VectorCoefficient`,
+and `mfem::MatrixCoefficient` derived objects added to the MFEM problem.
+
+End users should not usually need to interact with the `ObjectManager` directly. Developers wanting
+to add new objects tracked by the `ObjectManager` should do so using the `ObjectManager::make`
+method.
diff --git a/framework/doc/content/source/mfem/utils/PropertyManager.md b/framework/doc/content/source/mfem/utils/PropertyManager.md
new file mode 100644
index 000000000000..b25787f10d81
--- /dev/null
+++ b/framework/doc/content/source/mfem/utils/PropertyManager.md
@@ -0,0 +1,18 @@
+# PropertyManager
+
+`PropertyManager` owns and manages MFEM coefficient objects, handling the set-up of piecewise
+coefficients defined across multiple materials.
+
+## Overview
+
+`PropertyManager` owns and manages `mfem::Coefficient`, `mfem::VectorCoefficient`, and
+`mfem::MatrixCoefficient` derived objects added to the MFEM problem. It also handles the set-up of
+global piecewise coefficients constructed from multiple coefficients defined on separate subdomains
+of the mesh.
+
+End users should not usually need to interact with the `PropertyManager` directly, instead
+defining `Materials` for all subdomains of their mesh which will add properties using the
+`PropertyManager` internally. Developers wanting to add new coefficients to the MFEMProblem should
+do so using the `PropertyManager::declareXXX` methods, and use `getScalarProperty`,
+`getVectorProperty`, and/or `getMatrixProperty` to fetch global coefficients for properties in the
+system by name.
diff --git a/framework/doc/content/source/mfem/utils/property_map.md b/framework/doc/content/source/mfem/utils/property_map.md
new file mode 100644
index 000000000000..1dd78f85c48a
--- /dev/null
+++ b/framework/doc/content/source/mfem/utils/property_map.md
@@ -0,0 +1,17 @@
+# PropertyMap
+
+## Summary
+
+`PropertyMap` stores MFEM coefficient objects, handling the set-up of piecewise coefficients defined
+across multiple materials.
+
+## Overview
+
+`PropertyMap` is a templated class used to store `mfem::Coefficient`, `mfem::VectorCoefficient`, or
+`mfem::MatrixCoefficient` derived objects added to the MFEM problem. It also associates added
+coefficients for the same named property on multiple mesh subdomains (blocks) with the (global)
+piecewise coefficients required by domain and boundary integrators that span multiple blocks.
+
+Addition of new material properties and coefficients to the `PropertyMap` should usually be managed
+by calling the appropriate methods of the `PropertyManager`.
+
diff --git a/framework/doc/content/source/mfem/variables/MFEMVariable.md b/framework/doc/content/source/mfem/variables/MFEMVariable.md
new file mode 100644
index 000000000000..2c9ec67eed5a
--- /dev/null
+++ b/framework/doc/content/source/mfem/variables/MFEMVariable.md
@@ -0,0 +1,28 @@
+# MFEMVariable
+
+## Summary
+
+!syntax description /Variables/MFEMVariable
+
+## Overview
+
+`MFEMVariable` defines a finite element variable (`mfem::ParGridFunction`) with respect to a finite
+element space created on the problem's mesh. Multiple `MFEMVariable` objects can be created with
+respect to the same `MFEMFESpace`.
+
+## Example Input File Syntax
+
+Preferentially, users should create an  `MFEMVariable` with respect to an `MFEMFESpace`:
+
+!listing test/tests/kernels/diffusion.i block=Problem FESpaces Variables
+
+However, if a user creates a MOOSE variable in an `MFEMProblem`, then Platypus should automatically
+create the corresponding `MFEMFESpace` and `MFEMVariable` for that type:
+
+!listing test/tests/variables/mfem_variables_from_moose.i block=Problem Variables
+
+!syntax parameters /Variables/MFEMVariable
+
+!syntax inputs /Variables/MFEMVariable
+
+!syntax children /Variables/MFEMVariable
diff --git a/framework/include/base/MooseConfig.h.in b/framework/include/base/MooseConfig.h.in
index 9449b235f980..7f5fbd28f433 100644
--- a/framework/include/base/MooseConfig.h.in
+++ b/framework/include/base/MooseConfig.h.in
@@ -12,6 +12,12 @@
 /* Whether to use libtorch-related code or not */
 #undef LIBTORCH_ENABLED
 
+/* The directory where mfem is installed */
+#undef MFEM_DIR
+
+/* Whether to use mfem-related code or not */
+#undef MFEM_ENABLED
+
 /* Define to the address where bug reports for this package should be sent. */
 #undef PACKAGE_BUGREPORT
 
diff --git a/framework/include/mfem/actions/AddFESpaceAction.h b/framework/include/mfem/actions/AddFESpaceAction.h
new file mode 100644
index 000000000000..3c5991273299
--- /dev/null
+++ b/framework/include/mfem/actions/AddFESpaceAction.h
@@ -0,0 +1,24 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "MooseObjectAction.h"
+#include "MFEMProblem.h"
+/**
+ * This class allows us to have a section of the input file like the
+ * following to add MFEM coefficients to the problem.
+ *
+ * [FESpaces]
+ * []
+ */
+class AddFESpaceAction : public MooseObjectAction
+{
+public:
+  static InputParameters validParams();
+
+  AddFESpaceAction(const InputParameters & parameters);
+
+  virtual void act() override;
+};
+
+#endif
diff --git a/framework/include/mfem/actions/AddMFEMPreconditionerAction.h b/framework/include/mfem/actions/AddMFEMPreconditionerAction.h
new file mode 100644
index 000000000000..3a39d6eb321c
--- /dev/null
+++ b/framework/include/mfem/actions/AddMFEMPreconditionerAction.h
@@ -0,0 +1,24 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "MooseObjectAction.h"
+
+/**
+ * This class allows us to have a section of the input file like the following
+ * specifying the solver to use and the solve options.
+ *
+ * [Preconditioner]
+ * []
+ */
+class AddMFEMPreconditionerAction : public MooseObjectAction
+{
+public:
+  static InputParameters validParams();
+
+  AddMFEMPreconditionerAction(const InputParameters & parameters);
+
+  void act() override;
+};
+
+#endif
diff --git a/framework/include/mfem/actions/AddMFEMSolverAction.h b/framework/include/mfem/actions/AddMFEMSolverAction.h
new file mode 100644
index 000000000000..a74d4e64f608
--- /dev/null
+++ b/framework/include/mfem/actions/AddMFEMSolverAction.h
@@ -0,0 +1,24 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "MooseObjectAction.h"
+
+/**
+ * This class allows us to have a section of the input file like the following
+ * specifying the solver to use and the solve options.
+ *
+ * [Solver]
+ * []
+ */
+class AddMFEMSolverAction : public MooseObjectAction
+{
+public:
+  static InputParameters validParams();
+
+  AddMFEMSolverAction(const InputParameters & parameters);
+
+  void act() override;
+};
+
+#endif
diff --git a/framework/include/mfem/actions/AddProblemOperatorAction.h b/framework/include/mfem/actions/AddProblemOperatorAction.h
new file mode 100644
index 000000000000..53689375989a
--- /dev/null
+++ b/framework/include/mfem/actions/AddProblemOperatorAction.h
@@ -0,0 +1,21 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "Action.h"
+#include "MFEMProblem.h"
+/**
+ * This class implements the action controlling the construction of the
+ * required MFEM ProblemOperator.
+ */
+class AddProblemOperatorAction : public Action
+{
+public:
+  static InputParameters validParams();
+
+  AddProblemOperatorAction(const InputParameters & parameters);
+
+  virtual void act() override;
+};
+
+#endif
diff --git a/framework/include/mfem/actions/SetMeshFESpaceAction.h b/framework/include/mfem/actions/SetMeshFESpaceAction.h
new file mode 100644
index 000000000000..1f3eb19d3bc8
--- /dev/null
+++ b/framework/include/mfem/actions/SetMeshFESpaceAction.h
@@ -0,0 +1,21 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "Action.h"
+#include "MFEMProblem.h"
+/**
+ * This class implements the action ensuring the mesh uses the same FE space as
+ * the displacement for mesh updates.
+ */
+class SetMeshFESpaceAction : public Action
+{
+public:
+  static InputParameters validParams();
+
+  SetMeshFESpaceAction(const InputParameters & parameters);
+
+  virtual void act() override;
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMBoundaryCondition.h b/framework/include/mfem/bcs/MFEMBoundaryCondition.h
new file mode 100644
index 000000000000..a45230aac50c
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMBoundaryCondition.h
@@ -0,0 +1,29 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMGeneralUserObject.h"
+#include "MFEMContainers.h"
+#include "Function.h"
+
+class MFEMBoundaryCondition : public MFEMGeneralUserObject
+{
+public:
+  static InputParameters validParams();
+
+  MFEMBoundaryCondition(const InputParameters & parameters);
+  virtual ~MFEMBoundaryCondition() = default;
+
+  // Get name of the test variable labelling the weak form this kernel is added to
+  const std::string & getTestVariableName() const { return _test_var_name; }
+
+  mfem::Array<int> GetMarkers(mfem::Mesh & mesh);
+  mfem::Array<int> _bdr_markers;
+
+protected:
+  // Name of (the test variable associated with) the weak form that the kernel is applied to.
+  std::string _test_var_name;
+  std::vector<BoundaryName> _boundary_names;
+  mfem::Array<int> _bdr_attributes;
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMConvectiveHeatFluxBC.h b/framework/include/mfem/bcs/MFEMConvectiveHeatFluxBC.h
new file mode 100644
index 000000000000..d1e06dfdd997
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMConvectiveHeatFluxBC.h
@@ -0,0 +1,29 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMIntegratedBC.h"
+
+/*
+(h (T-T_inf), T')
+*/
+class MFEMConvectiveHeatFluxBC : public MFEMIntegratedBC
+{
+public:
+  static InputParameters validParams();
+
+  MFEMConvectiveHeatFluxBC(const InputParameters & parameters);
+
+  // Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+  // caller.
+  virtual mfem::LinearFormIntegrator * createLinearFormIntegrator();
+
+  // Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+  virtual mfem::BilinearFormIntegrator * createBilinearFormIntegrator();
+
+protected:
+  mfem::Coefficient & _heat_transfer_coef;
+  mfem::Coefficient & _T_inf_coef;
+  std::shared_ptr<mfem::ProductCoefficient> _external_heat_flux_coef;
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMEssentialBC.h b/framework/include/mfem/bcs/MFEMEssentialBC.h
new file mode 100644
index 000000000000..cbb33af81614
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMEssentialBC.h
@@ -0,0 +1,22 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMBoundaryCondition.h"
+
+class MFEMEssentialBC : public MFEMBoundaryCondition
+{
+public:
+  static InputParameters validParams();
+
+  MFEMEssentialBC(const InputParameters & parameters);
+  virtual ~MFEMEssentialBC() = default;
+
+  // Get name of the trial variable (gridfunction) the kernel acts on.
+  // Defaults to the name of the test variable labelling the weak form.
+  virtual const std::string & getTrialVariableName() const { return _test_var_name; }
+
+  // Apply the essential BC, overwritign the values of gridfunc on the boundary as desired.
+  virtual void ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_) = 0;
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMIntegratedBC.h b/framework/include/mfem/bcs/MFEMIntegratedBC.h
new file mode 100644
index 000000000000..a77124223a6f
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMIntegratedBC.h
@@ -0,0 +1,26 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMBoundaryCondition.h"
+
+class MFEMIntegratedBC : public MFEMBoundaryCondition
+{
+public:
+  static InputParameters validParams();
+
+  MFEMIntegratedBC(const InputParameters & parameters);
+  virtual ~MFEMIntegratedBC() = default;
+
+  // Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+  // caller.
+  virtual mfem::LinearFormIntegrator * createLinearFormIntegrator() = 0;
+
+  // Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+  virtual mfem::BilinearFormIntegrator * createBilinearFormIntegrator() = 0;
+
+  // Get name of the trial variable (gridfunction) the kernel acts on.
+  // Defaults to the name of the test variable labelling the weak form.
+  virtual const std::string & getTrialVariableName() const { return _test_var_name; }
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMScalarDirichletBC.h b/framework/include/mfem/bcs/MFEMScalarDirichletBC.h
new file mode 100644
index 000000000000..7a597469b022
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMScalarDirichletBC.h
@@ -0,0 +1,19 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMEssentialBC.h"
+
+class MFEMScalarDirichletBC : public MFEMEssentialBC
+{
+public:
+  static InputParameters validParams();
+
+  MFEMScalarDirichletBC(const InputParameters & parameters);
+
+  void ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_) override;
+
+protected:
+  std::shared_ptr<mfem::ConstantCoefficient> _coef{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMScalarFunctorBoundaryIntegratedBC.h b/framework/include/mfem/bcs/MFEMScalarFunctorBoundaryIntegratedBC.h
new file mode 100644
index 000000000000..b2a229b6edea
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMScalarFunctorBoundaryIntegratedBC.h
@@ -0,0 +1,25 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMIntegratedBC.h"
+
+class MFEMScalarFunctorBoundaryIntegratedBC : public MFEMIntegratedBC
+{
+public:
+  static InputParameters validParams();
+
+  MFEMScalarFunctorBoundaryIntegratedBC(const InputParameters & parameters);
+
+  // Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+  // caller.
+  virtual mfem::LinearFormIntegrator * createLinearFormIntegrator();
+
+  // Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+  virtual mfem::BilinearFormIntegrator * createBilinearFormIntegrator();
+
+protected:
+  const platypus::MFEMScalarCoefficientName & _coef_name;
+  mfem::Coefficient & _coef;
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMScalarFunctorDirichletBC.h b/framework/include/mfem/bcs/MFEMScalarFunctorDirichletBC.h
new file mode 100644
index 000000000000..85a6c1904bc4
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMScalarFunctorDirichletBC.h
@@ -0,0 +1,16 @@
+#pragma once
+#include "MFEMEssentialBC.h"
+
+class MFEMScalarFunctorDirichletBC : public MFEMEssentialBC
+{
+public:
+  static InputParameters validParams();
+
+  MFEMScalarFunctorDirichletBC(const InputParameters & parameters);
+
+  void ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_) override;
+
+protected:
+  const platypus::MFEMScalarCoefficientName & _coef_name;
+  mfem::Coefficient & _coef;
+};
diff --git a/framework/include/mfem/bcs/MFEMVectorBoundaryIntegratedBC.h b/framework/include/mfem/bcs/MFEMVectorBoundaryIntegratedBC.h
new file mode 100644
index 000000000000..54c1a5a454b0
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorBoundaryIntegratedBC.h
@@ -0,0 +1,25 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMIntegratedBC.h"
+
+class MFEMVectorBoundaryIntegratedBC : public MFEMIntegratedBC
+{
+public:
+  static InputParameters validParams();
+
+  MFEMVectorBoundaryIntegratedBC(const InputParameters & parameters);
+
+  // Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+  // caller.
+  virtual mfem::LinearFormIntegrator * createLinearFormIntegrator();
+
+  // Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+  virtual mfem::BilinearFormIntegrator * createBilinearFormIntegrator();
+
+protected:
+  std::vector<Real> _vec_value;
+  std::shared_ptr<mfem::VectorCoefficient> _vec_coef;
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMVectorDirichletBC.h b/framework/include/mfem/bcs/MFEMVectorDirichletBC.h
new file mode 100644
index 000000000000..484f8483dd91
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorDirichletBC.h
@@ -0,0 +1,16 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "MFEMVectorDirichletBCBase.h"
+
+class MFEMVectorDirichletBC : public MFEMVectorDirichletBCBase
+{
+public:
+  static InputParameters validParams();
+  MFEMVectorDirichletBC(const InputParameters & parameters);
+  ~MFEMVectorDirichletBC() override = default;
+  void ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_) override;
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMVectorDirichletBCBase.h b/framework/include/mfem/bcs/MFEMVectorDirichletBCBase.h
new file mode 100644
index 000000000000..33451976f0db
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorDirichletBCBase.h
@@ -0,0 +1,21 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "MFEMEssentialBC.h"
+#include "boundary_conditions.h"
+
+class MFEMVectorDirichletBCBase : public MFEMEssentialBC
+{
+public:
+  static InputParameters validParams();
+
+  ~MFEMVectorDirichletBCBase() override = default;
+
+protected:
+  MFEMVectorDirichletBCBase(const InputParameters & parameters);
+  std::vector<Real> _vec_value;
+  std::shared_ptr<mfem::VectorCoefficient> _vec_coef{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMVectorFunctorBoundaryIntegratedBC.h b/framework/include/mfem/bcs/MFEMVectorFunctorBoundaryIntegratedBC.h
new file mode 100644
index 000000000000..99f2df65b2dd
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorFunctorBoundaryIntegratedBC.h
@@ -0,0 +1,24 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMIntegratedBC.h"
+
+class MFEMVectorFunctorBoundaryIntegratedBC : public MFEMIntegratedBC
+{
+public:
+  static InputParameters validParams();
+
+  MFEMVectorFunctorBoundaryIntegratedBC(const InputParameters & parameters);
+
+  // Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+  // caller.
+  virtual mfem::LinearFormIntegrator * createLinearFormIntegrator();
+
+  // Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+  virtual mfem::BilinearFormIntegrator * createBilinearFormIntegrator();
+
+protected:
+  mfem::VectorCoefficient & _vec_coef;
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMVectorFunctorDirichletBC.h b/framework/include/mfem/bcs/MFEMVectorFunctorDirichletBC.h
new file mode 100644
index 000000000000..aab180a9e545
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorFunctorDirichletBC.h
@@ -0,0 +1,11 @@
+#pragma once
+#include "MFEMVectorFunctorDirichletBCBase.h"
+
+class MFEMVectorFunctorDirichletBC : public MFEMVectorFunctorDirichletBCBase
+{
+
+public:
+  MFEMVectorFunctorDirichletBC(const InputParameters & parameters);
+  ~MFEMVectorFunctorDirichletBC() override = default;
+  void ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_) override;
+};
diff --git a/framework/include/mfem/bcs/MFEMVectorFunctorDirichletBCBase.h b/framework/include/mfem/bcs/MFEMVectorFunctorDirichletBCBase.h
new file mode 100644
index 000000000000..6d3531fc7509
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorFunctorDirichletBCBase.h
@@ -0,0 +1,17 @@
+#pragma once
+
+#include "MFEMEssentialBC.h"
+#include "boundary_conditions.h"
+
+class MFEMVectorFunctorDirichletBCBase : public MFEMEssentialBC
+{
+public:
+  static InputParameters validParams();
+
+  ~MFEMVectorFunctorDirichletBCBase() override = default;
+
+protected:
+  MFEMVectorFunctorDirichletBCBase(const InputParameters & parameters);
+  const platypus::MFEMVectorCoefficientName & _vec_coef_name;
+  mfem::VectorCoefficient & _vec_coef;
+};
diff --git a/framework/include/mfem/bcs/MFEMVectorFunctorNormalDirichletBC.h b/framework/include/mfem/bcs/MFEMVectorFunctorNormalDirichletBC.h
new file mode 100644
index 000000000000..e764039a203f
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorFunctorNormalDirichletBC.h
@@ -0,0 +1,12 @@
+#pragma once
+
+#include "MFEMVectorFunctorDirichletBCBase.h"
+
+class MFEMVectorFunctorNormalDirichletBC : public MFEMVectorFunctorDirichletBCBase
+{
+public:
+  static InputParameters validParams();
+  MFEMVectorFunctorNormalDirichletBC(const InputParameters & parameters);
+  ~MFEMVectorFunctorNormalDirichletBC() override = default;
+  void ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_) override;
+};
diff --git a/framework/include/mfem/bcs/MFEMVectorFunctorNormalIntegratedBC.h b/framework/include/mfem/bcs/MFEMVectorFunctorNormalIntegratedBC.h
new file mode 100644
index 000000000000..211af014dbd7
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorFunctorNormalIntegratedBC.h
@@ -0,0 +1,25 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMIntegratedBC.h"
+
+class MFEMVectorFunctorNormalIntegratedBC : public MFEMIntegratedBC
+{
+public:
+  static InputParameters validParams();
+
+  MFEMVectorFunctorNormalIntegratedBC(const InputParameters & parameters);
+
+  // Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+  // caller.
+  virtual mfem::LinearFormIntegrator * createLinearFormIntegrator();
+
+  // Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+  virtual mfem::BilinearFormIntegrator * createBilinearFormIntegrator();
+
+protected:
+  const platypus::MFEMVectorCoefficientName & _vec_coef_name;
+  mfem::VectorCoefficient & _vec_coef;
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMVectorFunctorTangentialDirichletBC.h b/framework/include/mfem/bcs/MFEMVectorFunctorTangentialDirichletBC.h
new file mode 100644
index 000000000000..015590755682
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorFunctorTangentialDirichletBC.h
@@ -0,0 +1,11 @@
+#pragma once
+
+#include "MFEMVectorFunctorDirichletBCBase.h"
+
+class MFEMVectorFunctorTangentialDirichletBC : public MFEMVectorFunctorDirichletBCBase
+{
+public:
+  MFEMVectorFunctorTangentialDirichletBC(const InputParameters & parameters);
+  ~MFEMVectorFunctorTangentialDirichletBC() override = default;
+  void ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_) override;
+};
diff --git a/framework/include/mfem/bcs/MFEMVectorNormalDirichletBC.h b/framework/include/mfem/bcs/MFEMVectorNormalDirichletBC.h
new file mode 100644
index 000000000000..3f6790a5897f
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorNormalDirichletBC.h
@@ -0,0 +1,16 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "MFEMVectorDirichletBCBase.h"
+
+class MFEMVectorNormalDirichletBC : public MFEMVectorDirichletBCBase
+{
+public:
+  static InputParameters validParams();
+  MFEMVectorNormalDirichletBC(const InputParameters & parameters);
+  ~MFEMVectorNormalDirichletBC() override = default;
+  void ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_) override;
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMVectorNormalIntegratedBC.h b/framework/include/mfem/bcs/MFEMVectorNormalIntegratedBC.h
new file mode 100644
index 000000000000..e22b152a4e48
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorNormalIntegratedBC.h
@@ -0,0 +1,25 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMIntegratedBC.h"
+
+class MFEMVectorNormalIntegratedBC : public MFEMIntegratedBC
+{
+public:
+  static InputParameters validParams();
+
+  MFEMVectorNormalIntegratedBC(const InputParameters & parameters);
+
+  // Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+  // caller.
+  virtual mfem::LinearFormIntegrator * createLinearFormIntegrator();
+
+  // Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+  virtual mfem::BilinearFormIntegrator * createBilinearFormIntegrator();
+
+protected:
+  std::vector<Real> _vec_value;
+  std::shared_ptr<mfem::VectorConstantCoefficient> _vec_coef{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/MFEMVectorTangentialDirichletBC.h b/framework/include/mfem/bcs/MFEMVectorTangentialDirichletBC.h
new file mode 100644
index 000000000000..2d5ae414a481
--- /dev/null
+++ b/framework/include/mfem/bcs/MFEMVectorTangentialDirichletBC.h
@@ -0,0 +1,16 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "MFEMVectorDirichletBCBase.h"
+
+class MFEMVectorTangentialDirichletBC : public MFEMVectorDirichletBCBase
+{
+public:
+  static InputParameters validParams();
+  MFEMVectorTangentialDirichletBC(const InputParameters & parameters);
+  ~MFEMVectorTangentialDirichletBC() override = default;
+  void ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_) override;
+};
+
+#endif
diff --git a/framework/include/mfem/bcs/boundary_conditions.h b/framework/include/mfem/bcs/boundary_conditions.h
new file mode 100644
index 000000000000..2ca99441cd36
--- /dev/null
+++ b/framework/include/mfem/bcs/boundary_conditions.h
@@ -0,0 +1,28 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMIntegratedBC.h"
+#include "MFEMEssentialBC.h"
+#include "MFEMContainers.h"
+
+namespace platypus
+{
+
+class BCMap : public platypus::NamedFieldsMap<MFEMBoundaryCondition>
+{
+public:
+  mfem::Array<int> GetEssentialBdrMarkers(const std::string & name_, mfem::Mesh * mesh_);
+
+  void ApplyEssentialBCs(const std::string & name_,
+                         mfem::Array<int> & ess_tdof_list,
+                         mfem::GridFunction & gridfunc,
+                         mfem::Mesh * mesh_);
+
+  void ApplyIntegratedBCs(const std::string & name_, mfem::BilinearForm & blf, mfem::Mesh * mesh_);
+
+  void ApplyIntegratedBCs(const std::string & name_, mfem::LinearForm & lf, mfem::Mesh * mesh_);
+};
+
+} // namespace platypus
+
+#endif
diff --git a/framework/include/mfem/containers/MFEMContainers.h b/framework/include/mfem/containers/MFEMContainers.h
new file mode 100644
index 000000000000..bd83551fe9ef
--- /dev/null
+++ b/framework/include/mfem/containers/MFEMContainers.h
@@ -0,0 +1,199 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include <map>
+#include <set>
+#include <string>
+#include <memory>
+#include <vector>
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+
+namespace platypus
+{
+
+/// Lightweight adaptor over an std::map from strings to pointer to T
+template <typename T>
+class NamedFieldsMap
+{
+public:
+  using MapType = std::map<std::string, std::shared_ptr<T>>;
+  using const_iterator = typename MapType::const_iterator;
+
+  /// Default initializer.
+  NamedFieldsMap() = default;
+
+  /// Destructor.
+  ~NamedFieldsMap() { DeregisterAll(); }
+
+  /// Construct new field with name field_name and register.
+  template <class FieldType, class... FieldArgs>
+  void Register(const std::string & field_name, FieldArgs &&... args)
+  {
+    Register(field_name, std::make_shared<FieldType>(std::forward<FieldArgs>(args)...));
+  }
+
+  /// Register association between field and field_name.
+  void Register(const std::string & field_name, std::shared_ptr<T> field)
+  {
+    CheckFieldIsRegistrable(field_name, field.get());
+
+    Deregister(field_name);
+
+    _field_map[field_name] = std::move(field);
+  }
+
+  /// Unregister association between a field and the field_name.
+  void Deregister(const std::string & field_name) { _field_map.erase(field_name); }
+
+  /// Predicate to check if a field is registered with name field_name.
+  [[nodiscard]] inline bool Has(const std::string & field_name) const
+  {
+    return FindField(field_name) != end();
+  }
+
+  /// Returns a shared pointer to the field. This is guaranteed to return a non-null shared pointer.
+  [[nodiscard]] inline std::shared_ptr<T> GetShared(const std::string & field_name) const
+  {
+    CheckFieldIsRegistered(field_name);
+
+    auto it = FindField(field_name);
+
+    return EnsureFieldPointerIsNonNull(it);
+  }
+
+  /// Returns a reference to a field.
+  [[nodiscard]] inline T & GetRef(const std::string & field_name) const
+  {
+    return *GetShared(field_name);
+  }
+
+  /// Returns a non-owning pointer to the field. This is guaranteed to return a non-null pointer.
+  [[nodiscard]] inline T * Get(const std::string & field_name) const
+  {
+    return GetShared(field_name).get();
+  }
+
+  /// Returns a non-owning pointer to the field where TDerived is a derived class of class T.
+  template <typename TDerived>
+  [[nodiscard]] inline TDerived * Get(const std::string & field_name) const
+  {
+    auto ptr = Get(field_name);
+
+    return EnsurePointerCastIsNonNull<TDerived>(ptr);
+  }
+
+  /// Returns a vector containing all values for supplied keys.
+  [[nodiscard]] std::vector<T *> Get(const std::vector<std::string> & keys) const
+  {
+    std::vector<T *> values;
+
+    for (const auto & key : keys)
+    {
+      values.push_back(Get(key));
+    }
+
+    values.shrink_to_fit();
+    return values;
+  }
+
+  /// Returns a begin const iterator to the registered fields.
+  // NOLINTNEXTLINE(readability-identifier-naming)
+  [[nodiscard]] inline const_iterator begin() const { return _field_map.begin(); }
+
+  /// Returns an end const iterator to the registered fields.
+  // NOLINTNEXTLINE(readability-identifier-naming)
+  [[nodiscard]] inline const_iterator end() const { return _field_map.end(); }
+
+  // Returns the number of elements in the map
+  int size() { return _field_map.size(); }
+
+protected:
+  /// Returns a const iterator to the field.
+  [[nodiscard]] inline const_iterator FindField(const std::string & field_name) const
+  {
+    return _field_map.find(field_name);
+  }
+
+  /// Check that the field pointer is valid and the field has not already been registered.
+  void CheckFieldIsRegistrable(const std::string & field_name, T * field) const
+  {
+    if (!field)
+    {
+      MFEM_ABORT("Cannot register NULL field with name '" << field_name << "'.");
+    }
+
+    CheckForDoubleRegistration(field_name, field);
+  }
+
+  /// Check for double-registration of a field. A double-registered field may
+  /// result in undefined behavior.
+  void CheckForDoubleRegistration(const std::string & field_name, T * field) const
+  {
+    if (Has(field_name) && Get(field_name) == field)
+    {
+      MFEM_ABORT("The field '" << field_name << "' is already registered.");
+    }
+  }
+
+  /// Check that a field exists in the map.
+  void CheckFieldIsRegistered(const std::string & field_name) const
+  {
+    if (!Has(field_name))
+    {
+      MFEM_ABORT("The field '" << field_name << "' has not been registered.");
+    }
+  }
+
+  /// Ensure that a returned shared pointer is valid.
+  inline std::shared_ptr<T> EnsureFieldPointerIsNonNull(const_iterator & iterator) const
+  {
+    auto owned_ptr = iterator->second;
+
+    if (!owned_ptr)
+    {
+      MFEM_ABORT("The field '" << iterator->first << "' is NULL.");
+    }
+
+    return owned_ptr;
+  }
+
+  /// Ensure that a dynamic cast is successful.
+  template <typename TDerived>
+  inline TDerived * EnsurePointerCastIsNonNull(T * ptr) const
+  {
+    auto derived_ptr = dynamic_cast<TDerived *>(ptr);
+
+    if (!derived_ptr)
+    {
+      MFEM_ABORT("The dynamic cast performed on the field pointer failed.");
+    }
+
+    return derived_ptr;
+  }
+
+  /// Clear all associations between names and fields.
+  void DeregisterAll() { _field_map.clear(); }
+
+private:
+  MapType _field_map{};
+};
+
+inline std::string
+GetTimeDerivativeName(std::string name)
+{
+  return std::string("d") + name + std::string("_dt");
+}
+
+// TODO: Convert coefficient names to MOOSE derived string types
+using MFEMScalarCoefficientName = std::string;
+using MFEMVectorCoefficientName = std::string;
+using MFEMMatrixCoefficientName = std::string;
+
+using FECollections = platypus::NamedFieldsMap<mfem::FiniteElementCollection>;
+using FESpaces = platypus::NamedFieldsMap<mfem::ParFiniteElementSpace>;
+using GridFunctions = platypus::NamedFieldsMap<mfem::ParGridFunction>;
+} // namespace platypus
+
+#endif
diff --git a/framework/include/mfem/equation_systems/equation_system.h b/framework/include/mfem/equation_systems/equation_system.h
new file mode 100644
index 000000000000..67bdeb41db0f
--- /dev/null
+++ b/framework/include/mfem/equation_systems/equation_system.h
@@ -0,0 +1,186 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "libmesh/ignore_warnings.h"
+#include "mfem/miniapps/common/pfem_extras.hpp"
+#include "libmesh/restore_warnings.h"
+#include "boundary_conditions.h"
+#include "MFEMContainers.h"
+#include "MFEMKernel.h"
+#include "ScaleIntegrator.h"
+
+namespace platypus
+{
+
+/*
+Class to store weak form components (bilinear and linear forms, and optionally
+mixed and nonlinear forms) and build methods
+*/
+class EquationSystem : public mfem::Operator
+{
+public:
+  using MFEMBilinearFormKernel = MFEMKernel<mfem::BilinearFormIntegrator>;
+  using MFEMLinearFormKernel = MFEMKernel<mfem::LinearFormIntegrator>;
+  using MFEMNonlinearFormKernel = MFEMKernel<mfem::NonlinearFormIntegrator>;
+  using MFEMMixedBilinearFormKernel = MFEMKernel<mfem::BilinearFormIntegrator>;
+
+  EquationSystem() = default;
+  ~EquationSystem() override;
+
+  // Test variables are associated with LinearForms,
+  // whereas trial variables are associated with gridfunctions.
+
+  // Names of all variables corresponding to gridfunctions. This may differ
+  // from test_var_names when time derivatives are present.
+  std::vector<std::string> _trial_var_names;
+  // Pointers to trial variables.
+  platypus::GridFunctions _trial_variables;
+  // Names of all test variables corresponding to linear forms in this equation
+  // system
+  std::vector<std::string> _test_var_names;
+  std::vector<mfem::ParFiniteElementSpace *> _test_pfespaces;
+
+  // Components of weak form. // Named according to test variable
+  platypus::NamedFieldsMap<mfem::ParBilinearForm> _blfs;
+  platypus::NamedFieldsMap<mfem::ParLinearForm> _lfs;
+  platypus::NamedFieldsMap<mfem::ParNonlinearForm> _nlfs;
+  platypus::NamedFieldsMap<platypus::NamedFieldsMap<mfem::ParMixedBilinearForm>>
+      _mblfs; // named according to trial variable
+
+  // add test variable to EquationSystem;
+  virtual void AddTestVariableNameIfMissing(const std::string & test_var_name);
+  virtual void AddTrialVariableNameIfMissing(const std::string & trial_var_name);
+
+  // Add kernels.
+  virtual void AddKernel(const std::string & test_var_name,
+                         std::shared_ptr<MFEMBilinearFormKernel> blf_kernel);
+
+  void AddKernel(const std::string & test_var_name,
+                 std::shared_ptr<MFEMLinearFormKernel> lf_kernel);
+
+  void AddKernel(const std::string & test_var_name,
+                 std::shared_ptr<MFEMNonlinearFormKernel> nlf_kernel);
+
+  void AddKernel(const std::string & trial_var_name,
+                 const std::string & test_var_name,
+                 std::shared_ptr<MFEMMixedBilinearFormKernel> mblf_kernel);
+
+  virtual void ApplyBoundaryConditions(platypus::BCMap & bc_map);
+
+  // Build forms
+  virtual void Init(platypus::GridFunctions & gridfunctions,
+                    const platypus::FESpaces & fespaces,
+                    platypus::BCMap & bc_map,
+                    mfem::AssemblyLevel assembly_level);
+  virtual void BuildLinearForms(platypus::BCMap & bc_map);
+  virtual void BuildBilinearForms(platypus::BCMap & bc_map);
+  virtual void BuildMixedBilinearForms();
+  virtual void BuildEquationSystem(platypus::BCMap & bc_map);
+
+  // Form linear system, with essential boundary conditions accounted for
+  virtual void FormLinearSystem(mfem::OperatorHandle & op,
+                                mfem::BlockVector & trueX,
+                                mfem::BlockVector & trueRHS);
+
+  virtual void
+  FormSystem(mfem::OperatorHandle & op, mfem::BlockVector & trueX, mfem::BlockVector & trueRHS);
+  virtual void FormLegacySystem(mfem::OperatorHandle & op,
+                                mfem::BlockVector & trueX,
+                                mfem::BlockVector & trueRHS);
+
+  // Build linear system, with essential boundary conditions accounted for
+  virtual void BuildJacobian(mfem::BlockVector & trueX, mfem::BlockVector & trueRHS);
+
+  /// Compute residual y = Mu
+  void Mult(const mfem::Vector & u, mfem::Vector & residual) const override;
+
+  /// Compute J = M + grad_H(u)
+  mfem::Operator & GetGradient(const mfem::Vector & u) const override;
+
+  // Update variable from solution vector after solve
+  using mfem::Operator::RecoverFEMSolution;
+  virtual void RecoverFEMSolution(mfem::BlockVector & trueX,
+                                  platypus::GridFunctions & gridfunctions);
+
+  std::vector<mfem::Array<int>> _ess_tdof_lists;
+
+  /**
+   * Template method for storing kernels.
+   */
+  template <class T>
+  void addKernelToMap(std::shared_ptr<T> kernel,
+                      platypus::NamedFieldsMap<std::vector<std::shared_ptr<T>>> & kernels_map)
+  {
+    auto test_var_name = kernel->getTestVariableName();
+    if (!kernels_map.Has(test_var_name))
+    {
+      // 1. Create kernels vector.
+      auto kernels = std::make_shared<std::vector<std::shared_ptr<T>>>();
+      // 2. Register with map to prevent leaks.
+      kernels_map.Register(test_var_name, std::move(kernels));
+    }
+    kernels_map.GetRef(test_var_name).push_back(std::move(kernel));
+  }
+
+protected:
+  bool VectorContainsName(const std::vector<std::string> & the_vector,
+                          const std::string & name) const;
+
+  // gridfunctions for setting Dirichlet BCs
+  std::vector<std::unique_ptr<mfem::ParGridFunction>> _xs;
+  std::vector<std::unique_ptr<mfem::ParGridFunction>> _dxdts;
+
+  mfem::Array2D<const mfem::HypreParMatrix *> _h_blocks;
+
+  // Arrays to store kernels to act on each component of weak form. Named
+  // according to test variable
+  platypus::NamedFieldsMap<std::vector<std::shared_ptr<MFEMBilinearFormKernel>>> _blf_kernels_map;
+
+  platypus::NamedFieldsMap<std::vector<std::shared_ptr<MFEMLinearFormKernel>>> _lf_kernels_map;
+
+  platypus::NamedFieldsMap<std::vector<std::shared_ptr<MFEMNonlinearFormKernel>>> _nlf_kernels_map;
+
+  platypus::NamedFieldsMap<
+      platypus::NamedFieldsMap<std::vector<std::shared_ptr<MFEMMixedBilinearFormKernel>>>>
+      _mblf_kernels_map_map;
+
+  mutable mfem::OperatorHandle _jacobian;
+
+  mfem::AssemblyLevel _assembly_level;
+};
+
+/*
+Class to store weak form components for time dependent PDEs
+*/
+class TimeDependentEquationSystem : public EquationSystem
+{
+public:
+  TimeDependentEquationSystem();
+  ~TimeDependentEquationSystem() override = default;
+
+  void AddTrialVariableNameIfMissing(const std::string & trial_var_name) override;
+
+  virtual void SetTimeStep(double dt);
+  virtual void UpdateEquationSystem(platypus::BCMap & bc_map);
+  mfem::ConstantCoefficient _dt_coef; // Coefficient for timestep scaling
+  std::vector<std::string> _trial_var_time_derivative_names;
+
+  platypus::NamedFieldsMap<std::vector<std::shared_ptr<MFEMBilinearFormKernel>>>
+      _td_blf_kernels_map;
+  // Container to store contributions to weak form of the form (F du/dt, v)
+  platypus::NamedFieldsMap<mfem::ParBilinearForm> _td_blfs;
+
+  virtual void AddKernel(const std::string & test_var_name,
+                         std::shared_ptr<MFEMBilinearFormKernel> blf_kernel) override;
+  virtual void BuildBilinearForms(platypus::BCMap & bc_map) override;
+  virtual void FormLegacySystem(mfem::OperatorHandle & op,
+                                mfem::BlockVector & truedXdt,
+                                mfem::BlockVector & trueRHS) override;
+  virtual void FormSystem(mfem::OperatorHandle & op,
+                          mfem::BlockVector & truedXdt,
+                          mfem::BlockVector & trueRHS) override;
+};
+
+} // namespace platypus
+
+#endif
diff --git a/framework/include/mfem/executioners/MFEMExecutioner.h b/framework/include/mfem/executioners/MFEMExecutioner.h
new file mode 100644
index 000000000000..eb4a148daebf
--- /dev/null
+++ b/framework/include/mfem/executioners/MFEMExecutioner.h
@@ -0,0 +1,33 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "Executioner.h"
+#include "MFEMProblemData.h"
+
+class MFEMProblem;
+
+class MFEMExecutioner : public Executioner
+{
+public:
+  static InputParameters validParams();
+
+  MFEMExecutioner(const InputParameters & params);
+  virtual ~MFEMExecutioner() override = default;
+
+  virtual bool lastSolveConverged() const override { return true; };
+
+  /// Virtual method to construct the ProblemOperator. Call for default problems.
+  virtual void constructProblemOperator() = 0;
+
+  /**
+   * Set the device to use to solve the FE problem.
+   */
+  void setDevice();
+
+protected:
+  MFEMProblem & _mfem_problem;
+  MFEMProblemData & _problem_data;
+  mfem::Device _device;
+};
+
+#endif
diff --git a/framework/include/mfem/executioners/MFEMSteady.h b/framework/include/mfem/executioners/MFEMSteady.h
new file mode 100644
index 000000000000..6aba16c831b3
--- /dev/null
+++ b/framework/include/mfem/executioners/MFEMSteady.h
@@ -0,0 +1,33 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMExecutioner.h"
+#include "equation_system_problem_operator.h"
+
+class MFEMSteady : public MFEMExecutioner
+{
+public:
+  static InputParameters validParams();
+
+  explicit MFEMSteady(const InputParameters & params);
+  ~MFEMSteady() override = default;
+
+  void constructProblemOperator() override;
+  virtual void init() override;
+  virtual void execute() override;
+
+protected:
+  // Time variables used for consistency with MOOSE, needed for outputs.
+  // Important for future synchronisation of solves in MultiApps
+  Real _system_time;
+  int & _time_step;
+  Real & _time;
+
+  /// Iteration number obtained from the main application
+  unsigned int _output_iteration_number;
+
+private:
+  std::unique_ptr<platypus::ProblemOperator> _problem_operator{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/executioners/MFEMTransient.h b/framework/include/mfem/executioners/MFEMTransient.h
new file mode 100644
index 000000000000..7e7c7285fd35
--- /dev/null
+++ b/framework/include/mfem/executioners/MFEMTransient.h
@@ -0,0 +1,32 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMExecutioner.h"
+#include "time_domain_equation_system_problem_operator.h"
+
+class MFEMTransient : public MFEMExecutioner
+{
+public:
+  static InputParameters validParams();
+
+  explicit MFEMTransient(const InputParameters & params);
+  ~MFEMTransient() override = default;
+
+  void constructProblemOperator() override;
+  void step(double dt, int it) const;
+  virtual void init() override;
+  virtual void execute() override;
+
+  mutable double _t_step; // Time step
+
+private:
+  double _t_initial;       // Start time
+  double _t_final;         // End time
+  Real & _t;               // Current time
+  mutable int _it;         // Time index
+  int _vis_steps;          // Number of cycles between each output update
+  mutable bool _last_step; // Flag to check if current step is final
+  std::unique_ptr<platypus::TimeDomainProblemOperator> _problem_operator{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/fespaces/MFEMFECollection.h b/framework/include/mfem/fespaces/MFEMFECollection.h
new file mode 100644
index 000000000000..cfb6d7018772
--- /dev/null
+++ b/framework/include/mfem/fespaces/MFEMFECollection.h
@@ -0,0 +1,42 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMGeneralUserObject.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include <string>
+
+/**
+ * Constructs and stores an mfem::FiniteElementCollection object. Access using
+ * the getFEC() accessor.
+ */
+class MFEMFECollection : public MFEMGeneralUserObject
+{
+public:
+  static InputParameters validParams();
+
+  MFEMFECollection(const InputParameters & parameters);
+
+  ~MFEMFECollection() override = default;
+
+  /// Returns a shared pointer to the constructed fec.
+  inline std::shared_ptr<mfem::FiniteElementCollection> getFEC() const { return _fec; }
+
+protected:
+  const int _fec_order;
+  const std::string _fec_type;
+  const std::string _fec_name;
+
+private:
+  /// Constructs the fec name from the order and fespace type.
+  const std::string buildFECName();
+
+  /// Constructs the fec from the fec name.
+  const std::shared_ptr<mfem::FiniteElementCollection> buildFEC();
+
+  /// Stores the constructed fec.
+  const std::shared_ptr<mfem::FiniteElementCollection> _fec{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/fespaces/MFEMFESpace.h b/framework/include/mfem/fespaces/MFEMFESpace.h
new file mode 100644
index 000000000000..94b036d33fd3
--- /dev/null
+++ b/framework/include/mfem/fespaces/MFEMFESpace.h
@@ -0,0 +1,42 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMGeneralUserObject.h"
+#include "MFEMFECollection.h"
+
+/**
+ * Constructs and stores an mfem::ParFiniteElementSpace object. Access using the
+ * getFESpace() accessor.
+ */
+class MFEMFESpace : public MFEMGeneralUserObject
+{
+public:
+  static InputParameters validParams();
+
+  MFEMFESpace(const InputParameters & parameters);
+
+  /// Returns a shared pointer to the constructed fespace.
+  inline std::shared_ptr<mfem::ParFiniteElementSpace> getFESpace() const { return _fespace; }
+
+  /// Returns a shared pointer to the constructed fec.
+  inline std::shared_ptr<mfem::FiniteElementCollection> getFEC() const { return _fec.getFEC(); }
+
+protected:
+  /// Vector dimension (number of unknowns per degree of freedom).
+  const int _vdim;
+
+  /// Type of ordering of the vector dofs when _vdim > 1.
+  const int _ordering;
+
+  /// Constructs and stores the fec.
+  const MFEMFECollection _fec;
+
+private:
+  /// Constructs the fespace.
+  const std::shared_ptr<mfem::ParFiniteElementSpace> buildFESpace();
+
+  /// Stores the constructed fespace.
+  const std::shared_ptr<mfem::ParFiniteElementSpace> _fespace{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/ics/MFEMScalarIC.h b/framework/include/mfem/ics/MFEMScalarIC.h
new file mode 100644
index 000000000000..6a135a175b96
--- /dev/null
+++ b/framework/include/mfem/ics/MFEMScalarIC.h
@@ -0,0 +1,15 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "MFEMGeneralUserObject.h"
+
+class MFEMScalarIC : public MFEMGeneralUserObject
+{
+public:
+  static InputParameters validParams();
+  MFEMScalarIC(const InputParameters & params);
+  virtual void execute() override;
+};
+
+#endif
diff --git a/framework/include/mfem/integrators/ScaleIntegrator.h b/framework/include/mfem/integrators/ScaleIntegrator.h
new file mode 100644
index 000000000000..9234939c2e26
--- /dev/null
+++ b/framework/include/mfem/integrators/ScaleIntegrator.h
@@ -0,0 +1,90 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMGeneralUserObject.h"
+#include "libmesh/ignore_warnings.h"
+#include "mfem/miniapps/common/pfem_extras.hpp"
+#include "libmesh/restore_warnings.h"
+
+namespace platypus
+{
+
+/// Integrator which scales its results by a constant value
+class ScaleIntegrator : public mfem::BilinearFormIntegrator
+{
+private:
+  mfem::BilinearFormIntegrator * _integrator{nullptr};
+  double _scale;
+  bool _own_integrator;
+
+public:
+  ScaleIntegrator(mfem::BilinearFormIntegrator * integ)
+    : _integrator{integ}, _scale{1}, _own_integrator{true}
+  {
+  }
+  ScaleIntegrator(mfem::BilinearFormIntegrator * integ, double scale)
+    : _integrator{integ}, _scale{scale}, _own_integrator{true}
+  {
+  }
+  ScaleIntegrator(mfem::BilinearFormIntegrator * integ, double scale, bool own)
+    : _integrator{integ}, _scale{scale}, _own_integrator{own}
+  {
+  }
+
+  void SetIntegrator(mfem::BilinearFormIntegrator * integ)
+  {
+    if (_integrator && _own_integrator)
+    {
+      delete _integrator;
+    }
+
+    _integrator = integ;
+  }
+
+  void SetScale(double scale) { _scale = scale; }
+
+  void SetOwn(bool own) { _own_integrator = own; }
+
+  void CheckIntegrator()
+  {
+    if (!_integrator)
+      mooseError("Integrator not set");
+  }
+
+  virtual void SetIntRule(const mfem::IntegrationRule * ir);
+
+  virtual void AssembleElementMatrix(const mfem::FiniteElement & el,
+                                     mfem::ElementTransformation & Trans,
+                                     mfem::DenseMatrix & elmat);
+  virtual void AssembleElementMatrix2(const mfem::FiniteElement & trial_fe,
+                                      const mfem::FiniteElement & test_fe,
+                                      mfem::ElementTransformation & Trans,
+                                      mfem::DenseMatrix & elmat);
+
+  using mfem::BilinearFormIntegrator::AssembleFaceMatrix;
+  virtual void AssembleFaceMatrix(const mfem::FiniteElement & el1,
+                                  const mfem::FiniteElement & el2,
+                                  mfem::FaceElementTransformations & Trans,
+                                  mfem::DenseMatrix & elmat);
+
+  using mfem::BilinearFormIntegrator::AssemblePA;
+  virtual void AssemblePA(const mfem::FiniteElementSpace & fes);
+
+  virtual void AssembleDiagonalPA(mfem::Vector & diag);
+
+  virtual void AssemblePAInteriorFaces(const mfem::FiniteElementSpace & fes);
+
+  virtual void AssemblePABoundaryFaces(const mfem::FiniteElementSpace & fes);
+
+  virtual void AddMultTransposePA(const mfem::Vector & x, mfem::Vector & y) const;
+
+  virtual void AddMultPA(const mfem::Vector & x, mfem::Vector & y) const;
+
+  virtual void
+  AssembleEA(const mfem::FiniteElementSpace & fes, mfem::Vector & emat, const bool add);
+
+  virtual ~ScaleIntegrator();
+};
+} // namespace platypus
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMCurlCurlKernel.h b/framework/include/mfem/kernels/MFEMCurlCurlKernel.h
new file mode 100644
index 000000000000..893172295df2
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMCurlCurlKernel.h
@@ -0,0 +1,26 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMKernel.h"
+
+/*
+ * \f[
+ * (\alpha \nabla \times u, \nabla \times u')
+ * \f]
+ */
+class MFEMCurlCurlKernel : public MFEMKernel<mfem::BilinearFormIntegrator>
+{
+public:
+  static InputParameters validParams();
+
+  MFEMCurlCurlKernel(const InputParameters & parameters);
+  ~MFEMCurlCurlKernel() override {}
+
+  virtual mfem::BilinearFormIntegrator * createIntegrator() override;
+
+protected:
+  const platypus::MFEMScalarCoefficientName & _coef_name;
+  mfem::Coefficient & _coef;
+};
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMDiffusionKernel.h b/framework/include/mfem/kernels/MFEMDiffusionKernel.h
new file mode 100644
index 000000000000..2157f271a27c
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMDiffusionKernel.h
@@ -0,0 +1,25 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMKernel.h"
+
+/*
+ * \f[
+ * (\sigma \nabla q, \nabla q')
+ * \f]
+ */
+class MFEMDiffusionKernel : public MFEMKernel<mfem::BilinearFormIntegrator>
+{
+public:
+  static InputParameters validParams();
+
+  MFEMDiffusionKernel(const InputParameters & parameters);
+
+  virtual mfem::BilinearFormIntegrator * createIntegrator() override;
+
+protected:
+  const platypus::MFEMScalarCoefficientName & _coef_name;
+  mfem::Coefficient & _coef;
+};
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMDivDivKernel.h b/framework/include/mfem/kernels/MFEMDivDivKernel.h
new file mode 100644
index 000000000000..e3cefe505549
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMDivDivKernel.h
@@ -0,0 +1,26 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMKernel.h"
+
+/*
+ * \f[
+ * (\alpha \nabla \cdot u, \nabla \cdot u')
+ * \f]
+ */
+class MFEMDivDivKernel : public MFEMKernel<mfem::BilinearFormIntegrator>
+{
+public:
+  static InputParameters validParams();
+
+  MFEMDivDivKernel(const InputParameters & parameters);
+  ~MFEMDivDivKernel() override {}
+
+  virtual mfem::BilinearFormIntegrator * createIntegrator() override;
+
+protected:
+  const platypus::MFEMScalarCoefficientName & _coef_name;
+  mfem::Coefficient & _coef;
+};
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMKernel.h b/framework/include/mfem/kernels/MFEMKernel.h
new file mode 100644
index 000000000000..05a7ec425a20
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMKernel.h
@@ -0,0 +1,47 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "MFEMGeneralUserObject.h"
+#include "MFEMContainers.h"
+
+/*
+Class to construct an MFEM integrator to apply to the equation system.
+
+TODO: Support for marker arrays specifying the block each kernel is applied on.
+*/
+template <typename T>
+class MFEMKernel : public MFEMGeneralUserObject
+{
+public:
+  static InputParameters validParams()
+  {
+    InputParameters params = MFEMGeneralUserObject::validParams();
+    params.registerBase("Kernel");
+    params.addParam<std::string>("variable",
+                                 "Variable labelling the weak form this kernel is added to");
+    return params;
+  }
+
+  MFEMKernel(const InputParameters & parameters)
+    : MFEMGeneralUserObject(parameters), _test_var_name(getParam<std::string>("variable"))
+  {
+  }
+  virtual ~MFEMKernel() = default;
+
+  // Create a new MFEM integrator to apply to the weak form. Ownership managed by the caller.
+  virtual T * createIntegrator() = 0;
+
+  // Get name of the test variable labelling the weak form this kernel is added to
+  const std::string & getTestVariableName() const { return _test_var_name; }
+
+  // Get name of the trial variable (gridfunction) the kernel acts on.
+  // Defaults to the name of the test variable labelling the weak form.
+  virtual const std::string & getTrialVariableName() const { return _test_var_name; }
+
+protected:
+  // Name of (the test variable associated with) the weak form that the kernel is applied to.
+  std::string _test_var_name;
+};
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMLinearElasticityKernel.h b/framework/include/mfem/kernels/MFEMLinearElasticityKernel.h
new file mode 100644
index 000000000000..cbeca87c4a78
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMLinearElasticityKernel.h
@@ -0,0 +1,34 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMKernel.h"
+
+// clang-format off
+/*
+ * \f[
+ * (c_{ikjl} \nabla u_j, \nabla v_i),
+ * c_{ikjl} = \lamba \delta_{ik} \delta_{jl} + \mu (\delta_{ij} \delta_{kl} + \delta_{il} \delta_{jk}),
+ * \lambda = (E\nu)/((1-2\nu)(1+\nu)),
+ * \mu = E/(2(1+\nu)),
+ * E is Young's modulus,
+ * \nu is Poisson's ratio
+ * \f]
+*/
+// clang-format on
+class MFEMLinearElasticityKernel : public MFEMKernel<mfem::BilinearFormIntegrator>
+{
+public:
+  static InputParameters validParams();
+
+  MFEMLinearElasticityKernel(const InputParameters & parameters);
+
+  virtual mfem::BilinearFormIntegrator * createIntegrator() override;
+
+protected:
+  const platypus::MFEMScalarCoefficientName & _lambda_name;
+  const platypus::MFEMScalarCoefficientName & _mu_name;
+  mfem::Coefficient & _lambda;
+  mfem::Coefficient & _mu;
+};
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMMassKernel.h b/framework/include/mfem/kernels/MFEMMassKernel.h
new file mode 100644
index 000000000000..d3dcee5c5bf1
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMMassKernel.h
@@ -0,0 +1,26 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMKernel.h"
+
+/*
+ * \f[
+ * (\beta u, u')
+ * \f]
+ */
+class MFEMMassKernel : public MFEMKernel<mfem::BilinearFormIntegrator>
+{
+public:
+  static InputParameters validParams();
+
+  MFEMMassKernel(const InputParameters & parameters);
+  ~MFEMMassKernel() override {}
+
+  virtual mfem::BilinearFormIntegrator * createIntegrator() override;
+
+protected:
+  const platypus::MFEMScalarCoefficientName & _coef_name;
+  mfem::Coefficient & _coef;
+};
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMMixedVectorGradientKernel.h b/framework/include/mfem/kernels/MFEMMixedVectorGradientKernel.h
new file mode 100644
index 000000000000..9f120869375c
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMMixedVectorGradientKernel.h
@@ -0,0 +1,26 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMKernel.h"
+
+/*
+ * \f[
+ * (\sigma \nabla V, u')
+ * \f]
+ */
+class MFEMMixedVectorGradientKernel : public MFEMKernel<mfem::BilinearFormIntegrator>
+{
+public:
+  static InputParameters validParams();
+
+  MFEMMixedVectorGradientKernel(const InputParameters & parameters);
+  ~MFEMMixedVectorGradientKernel() override = default;
+
+  virtual mfem::BilinearFormIntegrator * createIntegrator() override;
+
+protected:
+  const platypus::MFEMScalarCoefficientName & _coef_name;
+  mfem::Coefficient & _coef;
+};
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMTimeDerivativeMassKernel.h b/framework/include/mfem/kernels/MFEMTimeDerivativeMassKernel.h
new file mode 100644
index 000000000000..95731d29a41c
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMTimeDerivativeMassKernel.h
@@ -0,0 +1,28 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMMassKernel.h"
+
+/*
+ * \f[
+ * (\beta du/dt, u')
+ * \f]
+ */
+class MFEMTimeDerivativeMassKernel : public MFEMMassKernel
+{
+public:
+  static InputParameters validParams();
+
+  MFEMTimeDerivativeMassKernel(const InputParameters & parameters);
+  ~MFEMTimeDerivativeMassKernel() override {}
+
+  // Get name of the trial variable (gridfunction) the kernel acts on.
+  // Defaults to the name of the test variable labelling the weak form.
+  virtual const std::string & getTrialVariableName() const override { return _var_dot_name; };
+
+protected:
+  // Name of variable (gridfunction) representing time derivative of variable.
+  std::string _var_dot_name;
+};
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMVectorDomainLFKernel.h b/framework/include/mfem/kernels/MFEMVectorDomainLFKernel.h
new file mode 100644
index 000000000000..b7c8e8d182d7
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMVectorDomainLFKernel.h
@@ -0,0 +1,24 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMKernel.h"
+
+/*
+(\\vec f, \\vec u')
+*/
+class MFEMVectorDomainLFKernel : public MFEMKernel<mfem::LinearFormIntegrator>
+{
+public:
+  static InputParameters validParams();
+
+  MFEMVectorDomainLFKernel(const InputParameters & parameters);
+  ~MFEMVectorDomainLFKernel() override {}
+
+  virtual mfem::LinearFormIntegrator * createIntegrator() override;
+
+protected:
+  std::string _vec_coef_name;
+  mfem::VectorCoefficient & _vec_coef;
+};
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMVectorFEDomainLFKernel.h b/framework/include/mfem/kernels/MFEMVectorFEDomainLFKernel.h
new file mode 100644
index 000000000000..a0372686a2ff
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMVectorFEDomainLFKernel.h
@@ -0,0 +1,24 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMKernel.h"
+
+/*
+(\\vec f, \\vec u')
+*/
+class MFEMVectorFEDomainLFKernel : public MFEMKernel<mfem::LinearFormIntegrator>
+{
+public:
+  static InputParameters validParams();
+
+  MFEMVectorFEDomainLFKernel(const InputParameters & parameters);
+  ~MFEMVectorFEDomainLFKernel() override {}
+
+  virtual mfem::LinearFormIntegrator * createIntegrator() override;
+
+protected:
+  const platypus::MFEMVectorCoefficientName & _vec_coef_name;
+  mfem::VectorCoefficient & _vec_coef;
+};
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMVectorFEMassKernel.h b/framework/include/mfem/kernels/MFEMVectorFEMassKernel.h
new file mode 100644
index 000000000000..705ca31f6d0d
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMVectorFEMassKernel.h
@@ -0,0 +1,26 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMKernel.h"
+
+/*
+ * \f[
+ * (\beta u, u')
+ * \f]
+ */
+class MFEMVectorFEMassKernel : public MFEMKernel<mfem::BilinearFormIntegrator>
+{
+public:
+  static InputParameters validParams();
+
+  MFEMVectorFEMassKernel(const InputParameters & parameters);
+  ~MFEMVectorFEMassKernel() override {}
+
+  virtual mfem::BilinearFormIntegrator * createIntegrator() override;
+
+protected:
+  const platypus::MFEMScalarCoefficientName & _coef_name;
+  mfem::Coefficient & _coef;
+};
+
+#endif
diff --git a/framework/include/mfem/kernels/MFEMVectorFEWeakDivergenceKernel.h b/framework/include/mfem/kernels/MFEMVectorFEWeakDivergenceKernel.h
new file mode 100644
index 000000000000..a3cddcb9a718
--- /dev/null
+++ b/framework/include/mfem/kernels/MFEMVectorFEWeakDivergenceKernel.h
@@ -0,0 +1,26 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMKernel.h"
+
+/*
+ * \f[
+ * (\sigma u, \nabla V')
+ * \f]
+ */
+class MFEMVectorFEWeakDivergenceKernel : public MFEMKernel<mfem::BilinearFormIntegrator>
+{
+public:
+  static InputParameters validParams();
+
+  MFEMVectorFEWeakDivergenceKernel(const InputParameters & parameters);
+  ~MFEMVectorFEWeakDivergenceKernel() override = default;
+
+  virtual mfem::BilinearFormIntegrator * createIntegrator() override;
+
+protected:
+  const platypus::MFEMScalarCoefficientName & _coef_name;
+  mfem::Coefficient & _coef;
+};
+
+#endif
diff --git a/framework/include/mfem/materials/MFEMGenericConstantMaterial.h b/framework/include/mfem/materials/MFEMGenericConstantMaterial.h
new file mode 100644
index 000000000000..30ebf81654d6
--- /dev/null
+++ b/framework/include/mfem/materials/MFEMGenericConstantMaterial.h
@@ -0,0 +1,25 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMMaterial.h"
+
+/**
+ * Declares material properties based on names and values prescribed by input parameters.
+ *
+ * This is identical in function to the GenericConstantMaterial in Moose.
+ */
+class MFEMGenericConstantMaterial : public MFEMMaterial
+{
+public:
+  static InputParameters validParams();
+
+  MFEMGenericConstantMaterial(const InputParameters & parameters);
+  virtual ~MFEMGenericConstantMaterial();
+
+protected:
+  const std::vector<std::string> & _prop_names;
+  const std::vector<Real> & _prop_values;
+  unsigned int _num_props;
+};
+
+#endif
diff --git a/framework/include/mfem/materials/MFEMGenericConstantVectorMaterial.h b/framework/include/mfem/materials/MFEMGenericConstantVectorMaterial.h
new file mode 100644
index 000000000000..4d71f80761f3
--- /dev/null
+++ b/framework/include/mfem/materials/MFEMGenericConstantVectorMaterial.h
@@ -0,0 +1,25 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMMaterial.h"
+
+/**
+ * Declares material properties based on names and values prescribed by input parameters.
+ *
+ * This is identical in function to the GenericConstantVectorMaterial in Moose.
+ */
+class MFEMGenericConstantVectorMaterial : public MFEMMaterial
+{
+public:
+  static InputParameters validParams();
+
+  MFEMGenericConstantVectorMaterial(const InputParameters & parameters);
+  virtual ~MFEMGenericConstantVectorMaterial();
+
+protected:
+  const std::vector<std::string> & _prop_names;
+  const std::vector<Real> & _prop_values;
+  unsigned int _num_props;
+};
+
+#endif
diff --git a/framework/include/mfem/materials/MFEMGenericFunctionMaterial.h b/framework/include/mfem/materials/MFEMGenericFunctionMaterial.h
new file mode 100644
index 000000000000..a5dd71971a4e
--- /dev/null
+++ b/framework/include/mfem/materials/MFEMGenericFunctionMaterial.h
@@ -0,0 +1,25 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMMaterial.h"
+
+/**
+ * Declares material properties based on names and functions prescribed by input parameters.
+ *
+ * This is identical in function to the GenericFunctionMaterial in Moose.
+ */
+class MFEMGenericFunctionMaterial : public MFEMMaterial
+{
+public:
+  static InputParameters validParams();
+
+  MFEMGenericFunctionMaterial(const InputParameters & parameters);
+  virtual ~MFEMGenericFunctionMaterial();
+
+protected:
+  const std::vector<std::string> & _prop_names;
+  const std::vector<FunctionName> & _prop_values;
+  unsigned int _num_props;
+};
+
+#endif
diff --git a/framework/include/mfem/materials/MFEMGenericFunctionVectorMaterial.h b/framework/include/mfem/materials/MFEMGenericFunctionVectorMaterial.h
new file mode 100644
index 000000000000..96486d20a1f7
--- /dev/null
+++ b/framework/include/mfem/materials/MFEMGenericFunctionVectorMaterial.h
@@ -0,0 +1,25 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMMaterial.h"
+
+/**
+ * Declares material properties based on names and functions prescribed by input parameters.
+ *
+ * This is identical in function to the GenericFunctionVectorMaterial in Moose.
+ */
+class MFEMGenericFunctionVectorMaterial : public MFEMMaterial
+{
+public:
+  static InputParameters validParams();
+
+  MFEMGenericFunctionVectorMaterial(const InputParameters & parameters);
+  virtual ~MFEMGenericFunctionVectorMaterial();
+
+protected:
+  const std::vector<std::string> & _prop_names;
+  const std::vector<FunctionName> & _prop_values;
+  unsigned int _num_props;
+};
+
+#endif
diff --git a/framework/include/mfem/materials/MFEMMaterial.h b/framework/include/mfem/materials/MFEMMaterial.h
new file mode 100644
index 000000000000..74b521eb5a82
--- /dev/null
+++ b/framework/include/mfem/materials/MFEMMaterial.h
@@ -0,0 +1,29 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include "MFEMGeneralUserObject.h"
+#include "PropertyManager.h"
+
+class MFEMMaterial : public MFEMGeneralUserObject
+{
+public:
+  static InputParameters validParams();
+  static libMesh::Point pointFromMFEMVector(const mfem::Vector & vec);
+
+  MFEMMaterial(const InputParameters & parameters);
+  virtual ~MFEMMaterial();
+
+  const std::vector<SubdomainName> & getBlocks() const { return _block_ids; }
+
+protected:
+  std::vector<std::string> subdomainsToStrings(const std::vector<SubdomainName> & blocks);
+
+  std::vector<SubdomainName> _block_ids;
+  platypus::PropertyManager & _properties;
+};
+
+#endif
diff --git a/framework/include/mfem/mesh/MFEMMesh.h b/framework/include/mfem/mesh/MFEMMesh.h
new file mode 100644
index 000000000000..5d768ebbdf61
--- /dev/null
+++ b/framework/include/mfem/mesh/MFEMMesh.h
@@ -0,0 +1,98 @@
+#ifdef MFEM_ENABLED
+
+//* This file is part of the MOOSE framework
+//* https://www.mooseframework.org
+//*
+//* All rights reserved, see COPYRIGHT for full restrictions
+//* https://github.com/idaholab/moose/blob/master/COPYRIGHT
+//*
+//* Licensed under LGPL 2.1, please see LICENSE for details
+//* https://www.gnu.org/licenses/lgpl-2.1.html
+
+#pragma once
+#include "FileMesh.h"
+#include "libmesh/face_quad4.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+
+/**
+ * MFEMMesh
+ *
+ * MFEMMesh inherits a MOOSE mesh class which allows us to work with
+ * other MOOSE objects. It contains a pointer to the parallel MFEM mesh.
+ */
+class MFEMMesh : public FileMesh
+{
+public:
+  static InputParameters validParams();
+
+  MFEMMesh(const InputParameters & parameters);
+
+  virtual ~MFEMMesh();
+
+  /**
+   * Accessors for the _mfem_par_mesh object. If the mesh has
+   * not been build, the methods will call the appropriate protected methods to
+   * build them.
+   */
+  mfem::ParMesh & getMFEMParMesh() { return *_mfem_par_mesh; };
+
+  /**
+   * Copy a shared_ptr to the mfem::ParMesh object.
+   */
+  std::shared_ptr<mfem::ParMesh> getMFEMParMeshPtr() { return _mfem_par_mesh; };
+
+  /**
+   * Build MFEM ParMesh and a placeholder MOOSE mesh.
+   */
+  void buildMesh() override;
+
+  /**
+   * Clones the mesh.
+   */
+  std::unique_ptr<MooseMesh> safeClone() const override;
+
+  /**
+   * Returns true if mesh displacement is required.
+   */
+  bool shouldDisplace() const { return _mesh_displacement_variable.has_value(); }
+
+  /**
+   * Returns an optional reference to displacement variable name.
+   */
+  std::optional<std::reference_wrapper<std::string const>> getMeshDisplacementVariable() const
+  {
+    return _mesh_displacement_variable;
+  }
+
+  /**
+   * Displace the nodes of the mesh by the given displacement.
+   * Does not update FE spaces for variables.
+   */
+  void displace(mfem::GridFunction const & displacement);
+
+private:
+  /**
+   * Builds a placeholder mesh when no MOOSE mesh is required.
+   */
+  void buildDummyMooseMesh();
+
+  /**
+   * Performs a uniform refinement on the chosen mesh nref times.
+   */
+  void uniformRefinement(mfem::Mesh & mesh, int nref);
+
+  /**
+   * Holds name of variable used for mesh displacement, if set.
+   */
+  std::optional<std::string> _mesh_displacement_variable;
+
+  /**
+   * Smart pointers to mfem::ParMesh object. Do not access directly.
+   * Use the accessors instead.
+   */
+  std::shared_ptr<mfem::ParMesh> _mfem_par_mesh{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/outputs/MFEMConduitDataCollection.h b/framework/include/mfem/outputs/MFEMConduitDataCollection.h
new file mode 100644
index 000000000000..1107571b1a48
--- /dev/null
+++ b/framework/include/mfem/outputs/MFEMConduitDataCollection.h
@@ -0,0 +1,23 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMDataCollection.h"
+
+/**
+ * Class for output information saved in MFEM ConduitDataCollections
+ */
+class MFEMConduitDataCollection : public MFEMDataCollection
+{
+public:
+  static InputParameters validParams();
+
+  MFEMConduitDataCollection(const InputParameters & parameters);
+
+  virtual mfem::DataCollection & getDataCollection() override { return _conduit_dc; }
+
+protected:
+  mfem::ConduitDataCollection _conduit_dc;
+  MooseEnum _protocol;
+};
+
+#endif
diff --git a/framework/include/mfem/outputs/MFEMDataCollection.h b/framework/include/mfem/outputs/MFEMDataCollection.h
new file mode 100644
index 000000000000..bbed0f5d56dc
--- /dev/null
+++ b/framework/include/mfem/outputs/MFEMDataCollection.h
@@ -0,0 +1,24 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "FileOutput.h"
+#include "MFEMProblem.h"
+
+/**
+ * Class for output information saved in MFEM DataCollections
+ */
+class MFEMDataCollection : public FileOutput
+{
+public:
+  static InputParameters validParams();
+  MFEMDataCollection(const InputParameters & parameters);
+  virtual mfem::DataCollection & getDataCollection() = 0;
+
+protected:
+  void registerFields();
+  void output() override;
+
+  MFEMProblemData & _problem_data;
+};
+
+#endif
diff --git a/framework/include/mfem/outputs/MFEMParaViewDataCollection.h b/framework/include/mfem/outputs/MFEMParaViewDataCollection.h
new file mode 100644
index 000000000000..e39be5c194f6
--- /dev/null
+++ b/framework/include/mfem/outputs/MFEMParaViewDataCollection.h
@@ -0,0 +1,25 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMDataCollection.h"
+
+/**
+ * Class for output information saved in MFEM ParaViewDataCollections
+ */
+class MFEMParaViewDataCollection : public MFEMDataCollection
+{
+public:
+  static InputParameters validParams();
+
+  MFEMParaViewDataCollection(const InputParameters & parameters);
+
+  virtual mfem::DataCollection & getDataCollection() override { return _pv_dc; }
+
+protected:
+  mfem::ParaViewDataCollection _pv_dc;
+  bool _high_order_output;
+  unsigned int _refinements;
+  const mfem::VTKFormat _vtk_format;
+};
+
+#endif
diff --git a/framework/include/mfem/outputs/MFEMVisItDataCollection.h b/framework/include/mfem/outputs/MFEMVisItDataCollection.h
new file mode 100644
index 000000000000..90da38b4779b
--- /dev/null
+++ b/framework/include/mfem/outputs/MFEMVisItDataCollection.h
@@ -0,0 +1,23 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMDataCollection.h"
+
+/**
+ * Class for output information saved in MFEM VisItDataCollections
+ */
+class MFEMVisItDataCollection : public MFEMDataCollection
+{
+public:
+  static InputParameters validParams();
+
+  MFEMVisItDataCollection(const InputParameters & parameters);
+
+  virtual mfem::DataCollection & getDataCollection() override { return _visit_dc; }
+
+protected:
+  mfem::VisItDataCollection _visit_dc;
+  unsigned int _refinements;
+};
+
+#endif
diff --git a/framework/include/mfem/problem/MFEMProblem.h b/framework/include/mfem/problem/MFEMProblem.h
new file mode 100644
index 000000000000..bdacf276530b
--- /dev/null
+++ b/framework/include/mfem/problem/MFEMProblem.h
@@ -0,0 +1,232 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include <map>
+#include "libmesh/ignore_warnings.h"
+#include "mfem/miniapps/common/pfem_extras.hpp"
+#include "libmesh/restore_warnings.h"
+#include "ExternalProblem.h"
+#include "MFEMProblemData.h"
+#include "MFEMMesh.h"
+#include "MFEMMaterial.h"
+#include "MFEMVariable.h"
+#include "MFEMBoundaryCondition.h"
+#include "MFEMKernel.h"
+#include "MFEMExecutioner.h"
+#include "MFEMDataCollection.h"
+#include "MFEMFESpace.h"
+#include "MFEMSolverBase.h"
+#include "Function.h"
+#include "MooseEnum.h"
+#include "libmesh/string_to_enum.h"
+
+class MFEMProblem : public ExternalProblem
+{
+public:
+  static InputParameters validParams();
+
+  MFEMProblem(const InputParameters & params);
+  virtual ~MFEMProblem() {}
+
+  virtual void initialSetup() override;
+  virtual void externalSolve() override {}
+  virtual bool nlConverged(const unsigned int) override { return true; }
+  virtual void syncSolutions(Direction) override {}
+
+  /**
+   * Overwritten mesh() method from base MooseMesh to retrieve the correct mesh type, in this case
+   * MFEMMesh.
+   */
+  virtual MFEMMesh & mesh() override;
+
+  /**
+   * Returns all the variable names from the auxiliary system base. This is helpful in the
+   * syncSolutions() method when transferring variable data.
+   */
+  virtual std::vector<VariableName> getAuxVariableNames();
+
+  void addBoundaryCondition(const std::string & bc_name,
+                            const std::string & name,
+                            InputParameters & parameters) override;
+
+  void addMaterial(const std::string & kernel_name,
+                   const std::string & name,
+                   InputParameters & parameters) override;
+
+  /**
+   * Add an MFEM FESpace to the problem.
+   */
+  void addFESpace(const std::string & user_object_name,
+                  const std::string & name,
+                  InputParameters & parameters);
+  /**
+   * Set the device to use to solve the FE problem.
+   */
+  void setDevice();
+
+  /**
+   * Set the mesh used by MFEM.
+   */
+  void setMesh();
+
+  /**
+   * Initialise the required ProblemOperator used in the Executioner to solve the problem.
+   */
+  void initProblemOperator();
+
+  /**
+   * Override of ExternalProblem::addVariable. Sets a
+   * MFEM grid function (and time derivative, for transient problems) to be used in the MFEM solve.
+   */
+  void addVariable(const std::string & var_type,
+                   const std::string & var_name,
+                   InputParameters & parameters) override;
+
+  /**
+   * Adds one MFEM GridFunction to be used in the MFEM solve.
+   */
+  void addGridFunction(const std::string & var_type,
+                       const std::string & var_name,
+                       InputParameters & parameters);
+
+  /**
+   * Override of ExternalProblem::addAuxVariable. Sets a
+   * MFEM grid function to be used in the MFEM solve.
+   */
+  void addAuxVariable(const std::string & var_type,
+                      const std::string & var_name,
+                      InputParameters & parameters) override;
+
+  /**
+   * Override of ExternalProblem::addKernel. Uses ExternalProblem::addKernel to create a
+   * MFEMGeneralUserObject representing the kernel in MOOSE, and creates corresponding MFEM kernel
+   * to be used in the MFEM solve.
+   */
+  void addKernel(const std::string & kernel_name,
+                 const std::string & name,
+                 InputParameters & parameters) override;
+
+  /**
+   * Override of ExternalProblem::addFunction. Uses ExternalProblem::addFunction to create a
+   * MFEMGeneralUserObject representing the function in MOOSE, and creates a corresponding
+   * MFEM Coefficient or VectorCoefficient object.
+   */
+  void addFunction(const std::string & type,
+                   const std::string & name,
+                   InputParameters & parameters) override;
+
+  void addInitialCondition(const std::string & ic_name,
+                           const std::string & name,
+                           InputParameters & parameters) override;
+
+  /**
+   * Method called in AddMFEMPreconditionerAction which will create the solver.
+   */
+  void addMFEMPreconditioner(const std::string & user_object_name,
+                             const std::string & name,
+                             InputParameters & parameters);
+
+  /**
+   * Method called in AddMFEMSolverAction which will create the solver.
+   */
+  void addMFEMSolver(const std::string & user_object_name,
+                     const std::string & name,
+                     InputParameters & parameters);
+
+  /**
+   * Add the nonlinear solver to the system. TODO: allow user to specify solver options,
+   * similar to the linear solvers.
+   */
+  void addMFEMNonlinearSolver();
+
+  /**
+   * Method used to get an mfem FEC depending on the variable family specified in the input file.
+   * This method is used in addAuxVariable to help create the MFEM grid function that corresponds to
+   * a given MOOSE aux-variable.
+   */
+  InputParameters addMFEMFESpaceFromMOOSEVariable(InputParameters & moosevar_params);
+
+  /**
+   * Method to get the PropertyManager object for storing material
+   * properties and converting them to MFEM coefficients. This is used
+   * by Material and Kernel classes (among others).
+   */
+  platypus::PropertyManager & getProperties() { return _problem_data._properties; }
+
+  /**
+   * Method to get the current MFEMProblemData object storing the
+   * current data specifying the FE problem.
+   */
+  MFEMProblemData & getProblemData() { return _problem_data; }
+
+  /**
+   * Method to build scalar mfem::Coefficient objects. These will be
+   * tracked so that the simulation time can be updated on them later.
+   */
+  template <class T, class... Args>
+  std::shared_ptr<T> makeScalarCoefficient(Args &&... args)
+  {
+    return this->_problem_data._scalar_manager.make<T>(args...);
+  }
+
+  /**
+   * Method to build scalar mfem::VectorCoefficient objects. These will be
+   * tracked so that the simulation time can be updated on them later.
+   */
+  template <class T, class... Args>
+  std::shared_ptr<T> makeVectorCoefficient(Args &&... args)
+  {
+    return this->_problem_data._vector_manager.make<T>(args...);
+  }
+
+  /**
+   * Method to build scalar mfem::MatrixCoefficient objects. These will be
+   * tracked so that the simulation time can be updated on them later.
+   */
+  template <class T, class... Args>
+  std::shared_ptr<T> makeMatrixCoefficient(Args &&... args)
+  {
+    return this->_problem_data._matrix_manager.make<T>(args...);
+  }
+
+  /**
+   * Displace the mesh, if mesh displacement is enabled.
+   */
+  void displaceMesh();
+
+  /**
+   * Returns optional reference to the displacement GridFunction to apply to nodes.
+   */
+  std::optional<std::reference_wrapper<mfem::ParGridFunction const>>
+  getMeshDisplacementGridFunction();
+
+  /**
+   * @returns a shared pointer to an MFEM parallel grid function
+   */
+  std::shared_ptr<mfem::ParGridFunction> getGridFunction(const std::string & name);
+
+protected:
+  /**
+   * Template method for adding kernels. We can only add kernels using equation system problem
+   * builders.
+   */
+  template <class T>
+  void addKernel(std::string var_name, std::shared_ptr<MFEMKernel<T>> kernel)
+  {
+    using namespace platypus;
+    if (getProblemData()._eqn_system)
+    {
+      getProblemData()._eqn_system->AddTrialVariableNameIfMissing(var_name);
+      getProblemData()._eqn_system->AddKernel(var_name, std::move(kernel));
+    }
+    else
+    {
+      mooseError("Cannot add kernel with name '" + var_name +
+                 "' because there is no equation system.");
+    }
+  }
+
+  MFEMProblemData _problem_data;
+};
+
+#endif
diff --git a/framework/include/mfem/problem/MFEMProblemData.h b/framework/include/mfem/problem/MFEMProblemData.h
new file mode 100644
index 000000000000..12a1a9c09cab
--- /dev/null
+++ b/framework/include/mfem/problem/MFEMProblemData.h
@@ -0,0 +1,43 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "equation_system.h"
+#include "MFEMContainers.h"
+#include "ObjectManager.h"
+#include "PropertyManager.h"
+#include <fstream>
+#include <iostream>
+#include <memory>
+
+/// Base problem data struct.
+struct MFEMProblemData
+{
+public:
+  MFEMProblemData() = default;
+  virtual ~MFEMProblemData() { _ode_solver.reset(); };
+
+  std::shared_ptr<mfem::ParMesh> _pmesh{nullptr};
+  platypus::ScalarCoefficientManager _scalar_manager;
+  platypus::VectorCoefficientManager _vector_manager;
+  platypus::MatrixCoefficientManager _matrix_manager;
+  platypus::PropertyManager _properties{_scalar_manager, _vector_manager, _matrix_manager};
+  platypus::BCMap _bc_map;
+
+  std::unique_ptr<mfem::ODESolver> _ode_solver{nullptr};
+  mfem::BlockVector _f;
+
+  std::shared_ptr<platypus::EquationSystem> _eqn_system{nullptr};
+  std::shared_ptr<mfem::Solver> _jacobian_preconditioner{nullptr};
+  std::shared_ptr<mfem::Solver> _jacobian_solver{nullptr};
+  std::shared_ptr<mfem::NewtonSolver> _nonlinear_solver{nullptr};
+
+  platypus::FECollections _fecs;
+  platypus::FESpaces _fespaces;
+  platypus::GridFunctions _gridfunctions;
+
+  MPI_Comm _comm;
+  int _myid;
+  int _num_procs;
+};
+
+#endif
diff --git a/framework/include/mfem/problem_operators/equation_system_interface.h b/framework/include/mfem/problem_operators/equation_system_interface.h
new file mode 100644
index 000000000000..3f93b2f588e4
--- /dev/null
+++ b/framework/include/mfem/problem_operators/equation_system_interface.h
@@ -0,0 +1,24 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMProblemData.h"
+
+namespace platypus
+{
+/**
+ * Interface required for:
+ * - EquationSystemProblemOperator
+ * - TimeDomainEquationSystemProblemOperator
+ */
+class EquationSystemInterface
+{
+public:
+  EquationSystemInterface() = default;
+  virtual ~EquationSystemInterface() = default;
+
+  /// Returns a pointer to the operator's equation system.
+  [[nodiscard]] virtual platypus::EquationSystem * GetEquationSystem() const = 0;
+};
+}
+
+#endif
diff --git a/framework/include/mfem/problem_operators/equation_system_problem_operator.h b/framework/include/mfem/problem_operators/equation_system_problem_operator.h
new file mode 100644
index 000000000000..666a329b8a47
--- /dev/null
+++ b/framework/include/mfem/problem_operators/equation_system_problem_operator.h
@@ -0,0 +1,41 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "problem_operator.h"
+#include "problem_operator_interface.h"
+#include "equation_system_interface.h"
+
+namespace platypus
+{
+/// Steady-state problem operator with an equation system.
+class EquationSystemProblemOperator : public ProblemOperator, public EquationSystemInterface
+{
+public:
+  EquationSystemProblemOperator(MFEMProblemData & problem)
+    : ProblemOperator(problem), _equation_system(problem._eqn_system)
+  {
+  }
+
+  void SetGridFunctions() override;
+  void Init(mfem::BlockVector & X) override;
+  virtual void Solve(mfem::Vector & X) override;
+
+  ~EquationSystemProblemOperator() override = default;
+
+  [[nodiscard]] platypus::EquationSystem * GetEquationSystem() const override
+  {
+    if (!_equation_system)
+    {
+      MFEM_ABORT("No equation system has been added to ProblemOperator.");
+    }
+
+    return _equation_system.get();
+  }
+
+private:
+  std::shared_ptr<platypus::EquationSystem> _equation_system{nullptr};
+};
+
+} // namespace platypus
+
+#endif
diff --git a/framework/include/mfem/problem_operators/problem_operator.h b/framework/include/mfem/problem_operators/problem_operator.h
new file mode 100644
index 000000000000..d0c8efe99765
--- /dev/null
+++ b/framework/include/mfem/problem_operators/problem_operator.h
@@ -0,0 +1,27 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "libmesh/ignore_warnings.h"
+#include "mfem/miniapps/common/pfem_extras.hpp"
+#include "libmesh/restore_warnings.h"
+#include "MFEMProblemData.h"
+#include "problem_operator_interface.h"
+
+namespace platypus
+{
+/// Steady-state problem operator with no equation system.
+class ProblemOperator : public mfem::Operator, public ProblemOperatorInterface
+{
+public:
+  ProblemOperator(MFEMProblemData & problem) : ProblemOperatorInterface(problem) {}
+  ~ProblemOperator() override = default;
+
+  void SetGridFunctions() override;
+
+  virtual void Solve(mfem::Vector & /*X*/) {}
+  void Mult(const mfem::Vector &, mfem::Vector &) const override {}
+};
+
+} // namespace platypus
+
+#endif
diff --git a/framework/include/mfem/problem_operators/problem_operator_interface.h b/framework/include/mfem/problem_operators/problem_operator_interface.h
new file mode 100644
index 000000000000..6fd8273a28bd
--- /dev/null
+++ b/framework/include/mfem/problem_operators/problem_operator_interface.h
@@ -0,0 +1,41 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMProblemData.h"
+
+namespace platypus
+{
+/// Interface inherited by ProblemOperator and TimeDomainProblemOperator. Removes duplicated code in both classes.
+class ProblemOperatorInterface
+{
+public:
+  ProblemOperatorInterface(MFEMProblemData & problem) : _problem(problem) {}
+  virtual ~ProblemOperatorInterface() = default;
+
+  virtual void SetGridFunctions();
+  virtual void SetTestVariablesFromTrueVectors();
+  virtual void SetTrialVariablesFromTrueVectors();
+  virtual void Init(mfem::BlockVector & X);
+
+  mfem::Array<int> _block_true_offsets;
+
+  mfem::BlockVector _true_x, _true_rhs;
+  mfem::OperatorHandle _equation_system_operator;
+
+protected:
+  // Reference to the current problem.
+  MFEMProblemData & _problem;
+
+  // Vector of names of state gridfunctions used in formulation, ordered by appearance in block
+  // vector during solve.
+  std::vector<std::string> _test_var_names;
+  std::vector<mfem::ParGridFunction *> _test_variables;
+
+  // Vector of names of state gridfunctions used in formulation, ordered by appearance in block
+  // vector during solve.
+  std::vector<std::string> _trial_var_names;
+  std::vector<mfem::ParGridFunction *> _trial_variables;
+};
+}
+
+#endif
diff --git a/framework/include/mfem/problem_operators/time_domain_equation_system_problem_operator.h b/framework/include/mfem/problem_operators/time_domain_equation_system_problem_operator.h
new file mode 100644
index 000000000000..bf879903da86
--- /dev/null
+++ b/framework/include/mfem/problem_operators/time_domain_equation_system_problem_operator.h
@@ -0,0 +1,51 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "libmesh/ignore_warnings.h"
+#include "mfem/miniapps/common/pfem_extras.hpp"
+#include "libmesh/restore_warnings.h"
+#include "time_domain_problem_operator.h"
+#include "problem_operator_interface.h"
+#include "equation_system_interface.h"
+
+namespace platypus
+{
+
+/// Problem operator for time-dependent problems with an equation system.
+class TimeDomainEquationSystemProblemOperator : public TimeDomainProblemOperator,
+                                                public EquationSystemInterface
+{
+public:
+  TimeDomainEquationSystemProblemOperator(MFEMProblemData & problem)
+    : TimeDomainProblemOperator(problem),
+      _equation_system(
+          std::dynamic_pointer_cast<platypus::TimeDependentEquationSystem>(problem._eqn_system))
+  {
+  }
+
+  void SetGridFunctions() override;
+  void Init(mfem::BlockVector & X) override;
+
+  void ImplicitSolve(const double dt, const mfem::Vector & X, mfem::Vector & dX_dt) override;
+
+  [[nodiscard]] platypus::TimeDependentEquationSystem * GetEquationSystem() const override
+  {
+    if (!_equation_system)
+    {
+      MFEM_ABORT("No equation system has been added.");
+    }
+
+    return _equation_system.get();
+  }
+
+protected:
+  void BuildEquationSystemOperator(double dt);
+
+private:
+  std::vector<mfem::ParGridFunction *> _trial_variable_time_derivatives;
+  std::shared_ptr<platypus::TimeDependentEquationSystem> _equation_system{nullptr};
+};
+
+} // namespace platypus
+
+#endif
diff --git a/framework/include/mfem/problem_operators/time_domain_problem_operator.h b/framework/include/mfem/problem_operators/time_domain_problem_operator.h
new file mode 100644
index 000000000000..5624b20db25a
--- /dev/null
+++ b/framework/include/mfem/problem_operators/time_domain_problem_operator.h
@@ -0,0 +1,30 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "libmesh/ignore_warnings.h"
+#include "mfem/miniapps/common/pfem_extras.hpp"
+#include "libmesh/restore_warnings.h"
+#include "MFEMProblemData.h"
+#include "problem_operator_interface.h"
+
+namespace platypus
+{
+std::vector<std::string> GetTimeDerivativeNames(std::vector<std::string> gridfunction_names);
+
+/// Problem operator for time-dependent problems with no equation system. The user will need to subclass this since the solve is not
+/// implemented.
+class TimeDomainProblemOperator : public mfem::TimeDependentOperator,
+                                  public ProblemOperatorInterface
+{
+public:
+  TimeDomainProblemOperator(MFEMProblemData & problem) : ProblemOperatorInterface(problem) {}
+  ~TimeDomainProblemOperator() override = default;
+
+  void SetGridFunctions() override;
+
+  void ImplicitSolve(const double, const mfem::Vector &, mfem::Vector &) override {}
+};
+
+} // namespace platypus
+
+#endif
diff --git a/framework/include/mfem/solvers/MFEMCGSolver.h b/framework/include/mfem/solvers/MFEMCGSolver.h
new file mode 100644
index 000000000000..8aac7a376fb0
--- /dev/null
+++ b/framework/include/mfem/solvers/MFEMCGSolver.h
@@ -0,0 +1,31 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMSolverBase.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include <memory>
+
+/**
+ * Wrapper for mfem::CGSolver.
+ */
+class MFEMCGSolver : public MFEMSolverBase
+{
+public:
+  static InputParameters validParams();
+
+  MFEMCGSolver(const InputParameters & parameters);
+
+  /// Returns a shared pointer to the instance of the Solver derived-class.
+  std::shared_ptr<mfem::Solver> getSolver() const override { return _solver; }
+
+protected:
+  void constructSolver(const InputParameters & parameters) override;
+
+private:
+  std::shared_ptr<mfem::Solver> _preconditioner{nullptr};
+  std::shared_ptr<mfem::CGSolver> _solver{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/solvers/MFEMGMRESSolver.h b/framework/include/mfem/solvers/MFEMGMRESSolver.h
new file mode 100644
index 000000000000..86d248464c00
--- /dev/null
+++ b/framework/include/mfem/solvers/MFEMGMRESSolver.h
@@ -0,0 +1,31 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMSolverBase.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include <memory>
+
+/**
+ * Wrapper for mfem::GMRESSolver.
+ */
+class MFEMGMRESSolver : public MFEMSolverBase
+{
+public:
+  static InputParameters validParams();
+
+  MFEMGMRESSolver(const InputParameters & parameters);
+
+  /// Returns a shared pointer to the instance of the Solver derived-class.
+  std::shared_ptr<mfem::Solver> getSolver() const override { return _solver; }
+
+protected:
+  void constructSolver(const InputParameters & parameters) override;
+
+private:
+  std::shared_ptr<mfem::Solver> _preconditioner{nullptr};
+  std::shared_ptr<mfem::GMRESSolver> _solver{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/solvers/MFEMHypreADS.h b/framework/include/mfem/solvers/MFEMHypreADS.h
new file mode 100644
index 000000000000..fe939904eb89
--- /dev/null
+++ b/framework/include/mfem/solvers/MFEMHypreADS.h
@@ -0,0 +1,28 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMSolverBase.h"
+#include "MFEMFESpace.h"
+
+/**
+ * Wrapper for mfem::HypreADS solver.
+ */
+class MFEMHypreADS : public MFEMSolverBase
+{
+public:
+  static InputParameters validParams();
+
+  MFEMHypreADS(const InputParameters &);
+
+  /// Returns a shared pointer to the instance of the Solver derived-class.
+  std::shared_ptr<mfem::Solver> getSolver() const override { return _preconditioner; }
+
+protected:
+  void constructSolver(const InputParameters & parameters) override;
+
+private:
+  const MFEMFESpace & _mfem_fespace;
+  std::shared_ptr<mfem::HypreADS> _preconditioner{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/solvers/MFEMHypreAMS.h b/framework/include/mfem/solvers/MFEMHypreAMS.h
new file mode 100644
index 000000000000..2c750a9ec30e
--- /dev/null
+++ b/framework/include/mfem/solvers/MFEMHypreAMS.h
@@ -0,0 +1,28 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMSolverBase.h"
+#include "MFEMFESpace.h"
+
+/**
+ * Wrapper for mfem::HypreAMS solver.
+ */
+class MFEMHypreAMS : public MFEMSolverBase
+{
+public:
+  static InputParameters validParams();
+
+  MFEMHypreAMS(const InputParameters &);
+
+  /// Returns a shared pointer to the instance of the Solver derived-class.
+  std::shared_ptr<mfem::Solver> getSolver() const override { return _preconditioner; }
+
+protected:
+  void constructSolver(const InputParameters & parameters) override;
+
+private:
+  const MFEMFESpace & _mfem_fespace;
+  std::shared_ptr<mfem::HypreAMS> _preconditioner{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/solvers/MFEMHypreBoomerAMG.h b/framework/include/mfem/solvers/MFEMHypreBoomerAMG.h
new file mode 100644
index 000000000000..9f7b44ed2cea
--- /dev/null
+++ b/framework/include/mfem/solvers/MFEMHypreBoomerAMG.h
@@ -0,0 +1,32 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMSolverBase.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include <memory>
+
+/**
+ * Wrapper for mfem::HypreBoomerAMG solver.
+ */
+class MFEMHypreBoomerAMG : public MFEMSolverBase
+{
+public:
+  static InputParameters validParams();
+
+  MFEMHypreBoomerAMG(const InputParameters &);
+
+  /// Returns a shared pointer to the instance of the Solver derived-class.
+  std::shared_ptr<mfem::Solver> getSolver() const override { return _solver; }
+
+protected:
+  void constructSolver(const InputParameters & parameters) override;
+
+private:
+  std::shared_ptr<mfem::ParFiniteElementSpace> _mfem_fespace{nullptr};
+  mfem::real_t _strength_threshold;
+  std::shared_ptr<mfem::HypreBoomerAMG> _solver{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/solvers/MFEMHypreFGMRES.h b/framework/include/mfem/solvers/MFEMHypreFGMRES.h
new file mode 100644
index 000000000000..47b72cd49b8d
--- /dev/null
+++ b/framework/include/mfem/solvers/MFEMHypreFGMRES.h
@@ -0,0 +1,30 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMSolverBase.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include <memory>
+
+/**
+ * Wrapper for mfem::HypreFGMRES solver.
+ */
+class MFEMHypreFGMRES : public MFEMSolverBase
+{
+public:
+  static InputParameters validParams();
+
+  MFEMHypreFGMRES(const InputParameters & parameters);
+
+  std::shared_ptr<mfem::Solver> getSolver() const override { return _solver; }
+
+protected:
+  void constructSolver(const InputParameters & parameters) override;
+
+private:
+  std::shared_ptr<mfem::Solver> _preconditioner{nullptr};
+  std::shared_ptr<mfem::HypreFGMRES> _solver{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/solvers/MFEMHypreGMRES.h b/framework/include/mfem/solvers/MFEMHypreGMRES.h
new file mode 100644
index 000000000000..2db38a355a79
--- /dev/null
+++ b/framework/include/mfem/solvers/MFEMHypreGMRES.h
@@ -0,0 +1,32 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMSolverBase.h"
+#include "MFEMHypreBoomerAMG.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include <memory>
+
+/**
+ * Wrapper for mfem::HypreGMRES solver.
+ */
+class MFEMHypreGMRES : public MFEMSolverBase
+{
+public:
+  static InputParameters validParams();
+
+  MFEMHypreGMRES(const InputParameters &);
+
+  /// Returns a shared pointer to the instance of the Solver derived-class.
+  std::shared_ptr<mfem::Solver> getSolver() const override { return _solver; }
+
+protected:
+  void constructSolver(const InputParameters & parameters) override;
+
+private:
+  std::shared_ptr<mfem::Solver> _preconditioner{nullptr};
+  std::shared_ptr<mfem::HypreGMRES> _solver{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/solvers/MFEMHyprePCG.h b/framework/include/mfem/solvers/MFEMHyprePCG.h
new file mode 100644
index 000000000000..a937aae8a620
--- /dev/null
+++ b/framework/include/mfem/solvers/MFEMHyprePCG.h
@@ -0,0 +1,31 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMSolverBase.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include <memory>
+
+/**
+ * Wrapper for mfem::HyprePCG solver.
+ */
+class MFEMHyprePCG : public MFEMSolverBase
+{
+public:
+  static InputParameters validParams();
+
+  MFEMHyprePCG(const InputParameters & parameters);
+
+  /// Returns a shared pointer to the instance of the Solver derived-class.
+  std::shared_ptr<mfem::Solver> getSolver() const override { return _solver; }
+
+protected:
+  void constructSolver(const InputParameters & parameters) override;
+
+private:
+  std::shared_ptr<mfem::Solver> _preconditioner{nullptr};
+  std::shared_ptr<mfem::HyprePCG> _solver{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/solvers/MFEMOperatorJacobiSmoother.h b/framework/include/mfem/solvers/MFEMOperatorJacobiSmoother.h
new file mode 100644
index 000000000000..52d58c07b722
--- /dev/null
+++ b/framework/include/mfem/solvers/MFEMOperatorJacobiSmoother.h
@@ -0,0 +1,30 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMSolverBase.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include <memory>
+
+/**
+ * Wrapper for mfem::OperatorJacobiSmoother solver.
+ */
+class MFEMOperatorJacobiSmoother : public MFEMSolverBase
+{
+public:
+  static InputParameters validParams();
+
+  MFEMOperatorJacobiSmoother(const InputParameters & parameters);
+
+  /// Returns a shared pointer to the instance of the Solver derived-class.
+  std::shared_ptr<mfem::Solver> getSolver() const override { return _preconditioner; }
+
+protected:
+  void constructSolver(const InputParameters & parameters) override;
+
+private:
+  std::shared_ptr<mfem::OperatorJacobiSmoother> _preconditioner{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/solvers/MFEMSolverBase.h b/framework/include/mfem/solvers/MFEMSolverBase.h
new file mode 100644
index 000000000000..bfde41c0d849
--- /dev/null
+++ b/framework/include/mfem/solvers/MFEMSolverBase.h
@@ -0,0 +1,28 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMGeneralUserObject.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include <memory>
+
+/**
+ * Base class for wrapping mfem::Solver-derived classes.
+ */
+class MFEMSolverBase : public MFEMGeneralUserObject
+{
+public:
+  static InputParameters validParams();
+
+  MFEMSolverBase(const InputParameters & parameters);
+
+  /// Returns a shared pointer to the instance of the Solver derived-class.
+  virtual std::shared_ptr<mfem::Solver> getSolver() const = 0;
+
+protected:
+  /// Override in derived classes to construct and set the solver options.
+  virtual void constructSolver(const InputParameters & parameters) = 0;
+};
+
+#endif
diff --git a/framework/include/mfem/solvers/MFEMSuperLU.h b/framework/include/mfem/solvers/MFEMSuperLU.h
new file mode 100644
index 000000000000..bf5351e4ec01
--- /dev/null
+++ b/framework/include/mfem/solvers/MFEMSuperLU.h
@@ -0,0 +1,52 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include "MFEMSolverBase.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include <memory>
+
+namespace platypus
+{
+
+/**
+ * Wrapper for mfem::SuperLU solver that creates a SuperLURowLocMatrix from the operator
+ * when set.
+ */
+class SuperLUSolver : public mfem::SuperLUSolver
+{
+public:
+  SuperLUSolver(MPI_Comm comm, int npdep = 1) : mfem::SuperLUSolver(comm, npdep){};
+  void SetOperator(const mfem::Operator & op) override
+  {
+    _a_superlu = std::make_unique<mfem::SuperLURowLocMatrix>(op);
+    mfem::SuperLUSolver::SetOperator(*_a_superlu.get());
+  }
+
+private:
+  std::unique_ptr<mfem::SuperLURowLocMatrix> _a_superlu{nullptr};
+};
+} // namespace platypus
+
+/**
+ * Wrapper for mfem::mfem::SuperLUSolver.
+ */
+class MFEMSuperLU : public MFEMSolverBase
+{
+public:
+  static InputParameters validParams();
+
+  MFEMSuperLU(const InputParameters & parameters);
+
+  /// Returns a shared pointer to the instance of the Solver derived-class.
+  std::shared_ptr<mfem::Solver> getSolver() const override { return _solver; }
+
+protected:
+  void constructSolver(const InputParameters & parameters) override;
+
+private:
+  std::shared_ptr<platypus::SuperLUSolver> _solver{nullptr};
+};
+
+#endif
diff --git a/framework/include/mfem/userobjects/MFEMGeneralUserObject.h b/framework/include/mfem/userobjects/MFEMGeneralUserObject.h
new file mode 100644
index 000000000000..46649be4f67f
--- /dev/null
+++ b/framework/include/mfem/userobjects/MFEMGeneralUserObject.h
@@ -0,0 +1,41 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+// MOOSE includes
+#include "GeneralUserObject.h"
+#include "mfem.hpp"
+
+// Forwards declaration.
+class MFEMProblem;
+
+/*
+ * This class adds a getMFEMProblem method.
+ */
+class MFEMGeneralUserObject : public GeneralUserObject
+{
+public:
+  static InputParameters validParams();
+
+  MFEMGeneralUserObject(const InputParameters & parameters);
+
+  /// Returns a reference to the MFEMProblem instance.
+  // FIXME: Should this be marked as const if it is returning a non-const reference?
+  MFEMProblem & getMFEMProblem() const { return _mfem_problem; }
+
+  /// Returns references to coefficients stored in the MFEMProblem PropertiesManager.
+  mfem::Coefficient & getScalarProperty(const std::string & name);
+  mfem::VectorCoefficient & getVectorProperty(const std::string & name);
+  mfem::MatrixCoefficient & getMatrixProperty(const std::string & name);
+
+  void execute() override {}
+
+  void initialize() override {}
+
+  void finalize() override {}
+
+private:
+  MFEMProblem & _mfem_problem;
+};
+
+#endif
diff --git a/framework/include/mfem/utils/ObjectManager.h b/framework/include/mfem/utils/ObjectManager.h
new file mode 100644
index 000000000000..c17aa5cea669
--- /dev/null
+++ b/framework/include/mfem/utils/ObjectManager.h
@@ -0,0 +1,56 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include <vector>
+#include <memory>
+#include <tuple>
+
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+
+namespace platypus
+{
+/**
+ * Factory class to create tracked objects. The objects may be either
+ * of this class or any subclass. Iterator methods are provided to
+ * allow access to all of the objects that have been created.
+ */
+template <class T>
+class ObjectManager
+{
+public:
+  using storage = typename std::vector<std::shared_ptr<T>>;
+  using iter = typename storage::iterator;
+  using const_iter = typename storage::const_iterator;
+  using reverse_iter = typename storage::reverse_iterator;
+  using const_reverse_iter = typename storage::const_reverse_iterator;
+
+  template <class P, class... Args>
+  std::shared_ptr<P> make(Args &&... args)
+  {
+    auto result = std::make_shared<P>(args...);
+    this->_objects.push_back(result);
+    return result;
+  }
+
+  iter begin() { return this->_objects.begin(); }
+  iter end() { return this->_objects.end(); }
+  const_iter cbegin() const { return this->_objects.cbegin(); }
+  const_iter cend() const { return this->_objects.cend(); }
+  reverse_iter rbegin() { return this->_objects.rbegin(); }
+  reverse_iter rend() { return this->_objects.rend(); }
+  const_reverse_iter crbegin() const { return this->_objects.crbegin(); }
+  const_reverse_iter crend() const { return this->_objects.crend(); }
+
+private:
+  storage _objects;
+};
+
+using ScalarCoefficientManager = ObjectManager<mfem::Coefficient>;
+using VectorCoefficientManager = ObjectManager<mfem::VectorCoefficient>;
+using MatrixCoefficientManager = ObjectManager<mfem::MatrixCoefficient>;
+
+}
+
+#endif
diff --git a/framework/include/mfem/utils/PlatypusUtils.h b/framework/include/mfem/utils/PlatypusUtils.h
new file mode 100644
index 000000000000..2252919a3819
--- /dev/null
+++ b/framework/include/mfem/utils/PlatypusUtils.h
@@ -0,0 +1,36 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include <memory>
+#include <type_traits>
+#include <exception>
+
+namespace PlatypusUtils
+{
+
+template <class Td, class Ts>
+std::shared_ptr<Td>
+dynamic_const_cast(std::shared_ptr<Ts> source_pointer)
+{
+  if constexpr (!std::is_const_v<Td>)
+  {
+    auto source_remove_const =
+        std::const_pointer_cast<typename std::remove_const<Ts>::type>(source_pointer);
+    auto destination_pointer = std::dynamic_pointer_cast<Td>(source_remove_const);
+    if (!destination_pointer)
+      throw std::bad_cast();
+    return destination_pointer;
+  }
+  else
+  {
+    auto destination_pointer = std::dynamic_pointer_cast<Td>(source_pointer);
+    if (!destination_pointer)
+      throw std::bad_cast();
+    return destination_pointer;
+  }
+}
+
+} // namespace PlatypusUtils
+
+#endif
diff --git a/framework/include/mfem/utils/PropertyManager.h b/framework/include/mfem/utils/PropertyManager.h
new file mode 100644
index 000000000000..125217734f4a
--- /dev/null
+++ b/framework/include/mfem/utils/PropertyManager.h
@@ -0,0 +1,123 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include <map>
+#include <memory>
+#include <string>
+#include <tuple>
+#include <utility>
+#include <variant>
+#include <vector>
+
+#include "MooseException.h"
+
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+#include "property_map.h"
+#include "ObjectManager.h"
+
+namespace platypus
+{
+
+/**
+ * Class to manage material properties and associate them with MFEM
+ * coefficients. In particular, it will handle the complexity of
+ * piecewise coefficients being built up from multiple materials.
+ */
+class PropertyManager
+{
+
+public:
+  PropertyManager(ScalarCoefficientManager & scalar_manager,
+                  VectorCoefficientManager & vector_manager,
+                  MatrixCoefficientManager & matrix_manager)
+    : _scalar_manager(scalar_manager),
+      _vector_manager(vector_manager),
+      _matrix_manager(matrix_manager),
+      _scalar_coeffs(scalar_manager),
+      _vector_coeffs(vector_manager),
+      _matrix_coeffs(matrix_manager)
+  {
+  }
+
+  struct global_t
+  {
+  };
+
+  void declareScalar(const std::string & name, std::shared_ptr<mfem::Coefficient> coef);
+  void declareScalar(const std::string & name, global_t, std::shared_ptr<mfem::Coefficient> coef);
+  void declareScalar(const std::string & name,
+                     const std::vector<std::string> & blocks,
+                     std::shared_ptr<mfem::Coefficient> coef);
+  template <class P, class... Args>
+  void
+  declareScalar(const std::string & name, const std::vector<std::string> & blocks, Args &&... args)
+  {
+    this->declareScalar(name, blocks, _scalar_manager.make<P>(args...));
+  }
+  template <class P, class... Args>
+  void declareScalar(const std::string & name, global_t, Args &&... args)
+  {
+    this->declareScalar<P>(name, std::vector<std::string>(), args...);
+  }
+
+  void declareVector(const std::string & name, std::shared_ptr<mfem::VectorCoefficient> coef);
+  void
+  declareVector(const std::string & name, global_t, std::shared_ptr<mfem::VectorCoefficient> coef);
+  void declareVector(const std::string & name,
+                     const std::vector<std::string> & blocks,
+                     std::shared_ptr<mfem::VectorCoefficient> coef);
+  template <class P, class... Args>
+  void
+  declareVector(const std::string & name, const std::vector<std::string> & blocks, Args &&... args)
+  {
+    this->declareVector(name, blocks, _vector_manager.make<P>(args...));
+  }
+  template <class P, class... Args>
+  void declareVector(const std::string & name, global_t, Args &&... args)
+  {
+    this->declareVector<P>(name, std::vector<std::string>(), args...);
+  }
+
+  void declareMatrix(const std::string & name, std::shared_ptr<mfem::MatrixCoefficient> coef);
+  void
+  declareMatrix(const std::string & name, global_t, std::shared_ptr<mfem::MatrixCoefficient> coef);
+  void declareMatrix(const std::string & name,
+                     const std::vector<std::string> & blocks,
+                     std::shared_ptr<mfem::MatrixCoefficient> coef);
+  template <class P, class... Args>
+  void
+  declareMatrix(const std::string & name, const std::vector<std::string> & blocks, Args &&... args)
+  {
+    this->declareMatrix(name, blocks, _matrix_manager.make<P>(args...));
+  }
+  template <class P, class... Args>
+  void declareMatrix(const std::string & name, global_t, Args &&... args)
+  {
+    this->declareMatrix<P>(name, std::vector<std::string>(), args...);
+  }
+
+  mfem::Coefficient & getScalarProperty(const std::string & name);
+  mfem::VectorCoefficient & getVectorProperty(const std::string & name);
+  mfem::MatrixCoefficient & getMatrixProperty(const std::string & name);
+  std::shared_ptr<mfem::Coefficient> getScalarPropertyPtr(const std::string & name);
+  std::shared_ptr<mfem::VectorCoefficient> getVectorPropertyPtr(const std::string & name);
+  std::shared_ptr<mfem::MatrixCoefficient> getMatrixPropertyPtr(const std::string & name);
+  bool scalarIsDefined(const std::string & name, const std::string & block) const;
+  bool vectorIsDefined(const std::string & name, const std::string & block) const;
+  bool matrixIsDefined(const std::string & name, const std::string & block) const;
+
+  const static global_t global;
+
+private:
+  ScalarCoefficientManager & _scalar_manager;
+  VectorCoefficientManager & _vector_manager;
+  MatrixCoefficientManager & _matrix_manager;
+  ScalarMap _scalar_coeffs;
+  VectorMap _vector_coeffs;
+  MatrixMap _matrix_coeffs;
+};
+}
+
+#endif
diff --git a/framework/include/mfem/utils/property_map.h b/framework/include/mfem/utils/property_map.h
new file mode 100644
index 000000000000..fa42ed9e52ba
--- /dev/null
+++ b/framework/include/mfem/utils/property_map.h
@@ -0,0 +1,168 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+#include <map>
+#include <memory>
+#include <string>
+#include <tuple>
+#include <utility>
+#include <variant>
+#include <vector>
+
+#include "MooseException.h"
+
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+
+#include "ObjectManager.h"
+
+namespace platypus
+{
+
+/**
+ * Class to manage MFEM coefficient objects representing material
+ * properties. In particular, it will handle the complexity of
+ * piecewise coefficients being built up from multiple materials.
+ */
+template <class T, class Tpw>
+class PropertyMap
+{
+public:
+  PropertyMap(ObjectManager<T> & manager) : _manager(manager) {}
+
+  void addProperty(const std::string & name, std::shared_ptr<T> coeff)
+  {
+    const auto [_, inserted] = this->_properties.emplace(name, std::move(coeff));
+    if (!inserted)
+    {
+      throw MooseException("Property with name '" + name +
+                           "' already present in PropertyMap object");
+    }
+  }
+
+  // Note: If you attempt to overwrite an existing block then an exception will be thrown and data
+  // for that property will be left in an undefined state.
+  void addPiecewiseBlocks(const std::string & name,
+                          std::shared_ptr<T> coeff,
+                          const std::vector<std::string> & blocks)
+  {
+    // Initialise property with empty coefficients, if it does not already exist
+    if (!this->hasCoefficient(name))
+    {
+      this->_properties.insert({name, this->emptyPWData(coeff)});
+    }
+    PWData * data = std::get_if<PWData>(&this->_properties[name]);
+    // Throw an exception if the data is not piecewise
+    if (!data)
+    {
+      throw MooseException("Property with name '" + name +
+                           "' already present for all blocks in PropertyMap");
+    }
+    auto & [pw_coeff, coeff_map] = *data;
+    this->checkPWData(coeff, pw_coeff, name);
+
+    for (const auto & block : blocks)
+    {
+      if (coeff_map.count(block) > 0)
+      {
+        throw MooseException("Property with name '" + name + "' already assigned to block " +
+                             block + " in PropertyMap object");
+      }
+      coeff_map[block] = coeff;
+      pw_coeff->UpdateCoefficient(std::stoi(block), *coeff);
+    }
+  }
+
+  T & getCoefficient(const std::string & name)
+  {
+    try
+    {
+      auto & coeff = this->_properties.at(name);
+      try
+      {
+        return *std::get<std::shared_ptr<T>>(coeff);
+      }
+      catch (std::bad_variant_access &)
+      {
+        return *std::get<0>(std::get<PWData>(coeff));
+      }
+    }
+    catch (std::out_of_range &)
+    {
+      throw MooseException("Property with name '" + name + "' has not been declared.");
+    }
+  }
+
+  std::shared_ptr<T> getCoefficientPtr(const std::string & name)
+  {
+    try
+    {
+      auto & coeff = this->_properties.at(name);
+      try
+      {
+        return std::get<std::shared_ptr<T>>(coeff);
+      }
+      catch (std::bad_variant_access)
+      {
+        throw MooseException("Property with name '" + name + "' is piecewise.");
+      }
+    }
+    catch (std::out_of_range)
+    {
+      throw MooseException("Property with name '" + name + "' has not been declared.");
+    }
+  }
+
+  bool hasCoefficient(const std::string & name) const { return this->_properties.count(name) > 0; }
+
+  bool coefficientDefinedOnBlock(const std::string & name, const std::string & block) const
+  {
+    if (!this->hasCoefficient(name))
+      return false;
+    auto & coeff = this->_properties.at(name);
+    if (std::holds_alternative<std::shared_ptr<T>>(coeff))
+      return true;
+    auto block_map = std::get<1>(std::get<PWData>(coeff));
+    return block_map.count(block) > 0;
+  }
+
+private:
+  using PWData = std::tuple<std::shared_ptr<Tpw>, std::map<const std::string, std::shared_ptr<T>>>;
+  std::map<std::string, std::variant<std::shared_ptr<T>, PWData>> _properties;
+  ObjectManager<T> & _manager;
+
+  PWData emptyPWData(std::shared_ptr<T> /*coeff*/)
+  {
+    return std::make_tuple(this->_manager.template make<Tpw>(),
+                           std::map<const std::string, std::shared_ptr<T>>());
+  }
+  void checkPWData(std::shared_ptr<T> /*coeff*/,
+                   std::shared_ptr<Tpw> /* existing_pw*/,
+                   const std::string & /*name*/)
+  {
+  }
+};
+
+using ScalarMap = PropertyMap<mfem::Coefficient, mfem::PWCoefficient>;
+using VectorMap = PropertyMap<mfem::VectorCoefficient, mfem::PWVectorCoefficient>;
+using MatrixMap = PropertyMap<mfem::MatrixCoefficient, mfem::PWMatrixCoefficient>;
+
+template <>
+VectorMap::PWData VectorMap::emptyPWData(std::shared_ptr<mfem::VectorCoefficient> coeff);
+
+template <>
+MatrixMap::PWData MatrixMap::emptyPWData(std::shared_ptr<mfem::MatrixCoefficient> coeff);
+
+template <>
+void VectorMap::checkPWData(std::shared_ptr<mfem::VectorCoefficient> coeff,
+                            std::shared_ptr<mfem::PWVectorCoefficient> existing_pw,
+                            const std::string & name);
+
+template <>
+void MatrixMap::checkPWData(std::shared_ptr<mfem::MatrixCoefficient> coeff,
+                            std::shared_ptr<mfem::PWMatrixCoefficient> existing_pw,
+                            const std::string & name);
+} // namespace platypus
+
+#endif
diff --git a/framework/include/mfem/variables/MFEMVariable.h b/framework/include/mfem/variables/MFEMVariable.h
new file mode 100644
index 000000000000..57ed0cee9424
--- /dev/null
+++ b/framework/include/mfem/variables/MFEMVariable.h
@@ -0,0 +1,32 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "MFEMFESpace.h"
+#include "MFEMGeneralUserObject.h"
+
+/**
+ * Constructs and stores an mfem::ParGridFunction object.
+ */
+class MFEMVariable : public MFEMGeneralUserObject
+{
+public:
+  static InputParameters validParams();
+
+  MFEMVariable(const InputParameters & parameters);
+
+  /// Returns a shared pointer to the constructed gridfunction.
+  inline std::shared_ptr<mfem::ParGridFunction> getGridFunction() const { return _gridfunction; }
+
+protected:
+  const MFEMFESpace & _fespace;
+
+private:
+  /// Constructs the gridfunction.
+  const std::shared_ptr<mfem::ParGridFunction> buildGridFunction();
+
+  /// Stores the constructed gridfunction.
+  const std::shared_ptr<mfem::ParGridFunction> _gridfunction{nullptr};
+};
+
+#endif
diff --git a/framework/moose.mk b/framework/moose.mk
index 2e5a2dba7096..16d799ceb9c9 100644
--- a/framework/moose.mk
+++ b/framework/moose.mk
@@ -4,8 +4,9 @@ MOOSE_HEADER_SYMLINKS ?= true
 
 # We ignore this in the contrib folder because we will set up the include
 # directories manually later
-IGNORE_CONTRIB_INC ?= libtorch
+IGNORE_CONTRIB_INC ?= libtorch mfem
 ENABLE_LIBTORCH ?= false
+ENABLE_MFEM ?= false
 
 # this allows us to modify the linked names/rpaths safely later for install targets
 ifneq (,$(findstring darwin,$(libmesh_HOST)))
@@ -113,6 +114,35 @@ ifeq ($(ENABLE_LIBTORCH),true)
   endif
 endif
 
+#
+# Conditional parts if the user wants to compile MOOSE with mfem
+#
+ifeq ($(ENABLE_MFEM),true)
+	MFEM_LIB := libmfem.$(lib_suffix)
+	MFEM_COMMON_LIB := libmfem-common.$(lib_suffix)
+
+  ifneq ($(and $(wildcard $(MFEM_DIR)/lib/$(MFEM_LIB)), $(wildcard $(MFEM_DIR)/lib/$(MFEM_COMMON_LIB))),)
+    # Enabling parts that have MFEM dependencies
+    libmesh_CXXFLAGS += -DMFEM_ENABLED
+
+    # Adding the include directories
+	include $(MFEM_DIR)/share/mfem/config.mk
+	libmesh_CXXFLAGS += $(MFEM_INCFLAGS)
+
+    # Dynamically linking with the available MFEM library
+	ifeq ($(shell uname -s),Darwin)
+		libmesh_LDFLAGS += -Wl,-rpath,$(MFEM_DIR)/lib
+	else
+	  libmesh_LDFLAGS += -Wl,--copy-dt-needed-entries,-rpath,$(MFEM_DIR)/lib
+	endif
+
+    libmesh_LDFLAGS += -L$(MFEM_DIR)/lib -lmfem -lmfem-common
+
+  else
+    $(error ERROR! Cannot locate libmfem and libmfem-common. Make sure to install mfem and to run the configure --with-mfem before compiling moose!)
+  endif
+endif
+
 #
 # FParser JIT defines
 #
diff --git a/framework/src/base/Moose.C b/framework/src/base/Moose.C
index 91250cd67442..215b40500bde 100644
--- a/framework/src/base/Moose.C
+++ b/framework/src/base/Moose.C
@@ -405,6 +405,38 @@ addActionTypes(Syntax & syntax)
                            "(check_integrity)"
                            "(create_application_block)");
   // clang-format on
+
+#ifdef MOOSE_MFEM_ENABLED
+  registerTask("add_mfem_problem_operator", true);
+  addTaskDependency("add_mfem_problem_operator", "init_mesh");
+  addTaskDependency("add_variable", "add_mfem_problem_operator");
+  addTaskDependency("add_aux_variable", "add_mfem_problem_operator");
+  addTaskDependency("add_elemental_field_variable", "add_mfem_problem_operator");
+  addTaskDependency("add_kernel", "add_mfem_problem_operator");
+
+  // add FESpaces
+  registerMooseObjectTask("add_mfem_fespaces", MFEMFESpace, false);
+  appendMooseObjectTask("add_mfem_fespaces", MFEMFECollection);
+  addTaskDependency("add_variable", "add_mfem_fespaces");
+  addTaskDependency("add_aux_variable", "add_mfem_fespaces");
+  addTaskDependency("add_elemental_field_variable", "add_mfem_fespaces");
+  addTaskDependency("add_kernel", "add_mfem_fespaces");
+
+  // set mesh FE space
+  registerTask("set_mesh_fe_space", true);
+  addTaskDependency("set_mesh_fe_space", "add_variable");
+  addTaskDependency("set_mesh_fe_space", "init_mesh");
+
+  // add preconditioning.
+  registerMooseObjectTask("add_mfem_preconditioner", MFEMSolverBase, false);
+  addTaskDependency("add_mfem_preconditioner", "add_mfem_problem_operator");
+  addTaskDependency("add_mfem_preconditioner", "add_variable");
+
+  // add solver.
+  registerMooseObjectTask("add_mfem_solver", MFEMSolverBase, true);
+  addTaskDependency("add_mfem_solver", "add_mfem_preconditioner");
+  addTaskDependency("add_mfem_solver", "add_mfem_problem_operator");
+#endif
 }
 
 /**
@@ -655,6 +687,12 @@ associateSyntaxInner(Syntax & syntax, ActionFactory & /*action_factory*/)
   // Application Block System
   registerSyntax("CreateApplicationBlockAction", "Application");
 
+#ifdef MOOSE_MFEM_ENABLED
+  registerSyntaxTask("AddFESpaceAction", "FESpaces/*", "add_mfem_fespaces");
+  registerSyntaxTask("AddMFEMPreconditionerAction", "Preconditioner/*", "add_mfem_preconditioner");
+  registerSyntaxTask("AddMFEMSolverAction", "Solver", "add_mfem_solver");
+#endif
+
   addActionTypes(syntax);
 }
 
diff --git a/framework/src/mfem/actions/AddFESpaceAction.C b/framework/src/mfem/actions/AddFESpaceAction.C
new file mode 100644
index 000000000000..da9d3e185219
--- /dev/null
+++ b/framework/src/mfem/actions/AddFESpaceAction.C
@@ -0,0 +1,28 @@
+#ifdef MFEM_ENABLED
+
+#include "AddFESpaceAction.h"
+
+registerMooseAction("MooseApp", AddFESpaceAction, "add_mfem_fespaces");
+
+InputParameters
+AddFESpaceAction::validParams()
+{
+  InputParameters params = MooseObjectAction::validParams();
+  params.addClassDescription("Add a MFEM FESpace object to the simulation.");
+  return params;
+}
+
+AddFESpaceAction::AddFESpaceAction(const InputParameters & parameters)
+  : MooseObjectAction(parameters)
+{
+}
+
+void
+AddFESpaceAction::act()
+{
+  MFEMProblem * mfem_problem = dynamic_cast<MFEMProblem *>(_problem.get());
+  if (mfem_problem)
+    mfem_problem->addFESpace(_type, _name, _moose_object_pars);
+}
+
+#endif
diff --git a/framework/src/mfem/actions/AddMFEMPreconditionerAction.C b/framework/src/mfem/actions/AddMFEMPreconditionerAction.C
new file mode 100644
index 000000000000..892ed26cda60
--- /dev/null
+++ b/framework/src/mfem/actions/AddMFEMPreconditionerAction.C
@@ -0,0 +1,29 @@
+#ifdef MFEM_ENABLED
+
+#include "AddMFEMPreconditionerAction.h"
+#include "MFEMProblem.h"
+
+registerMooseAction("MooseApp", AddMFEMPreconditionerAction, "add_mfem_preconditioner");
+
+InputParameters
+AddMFEMPreconditionerAction::validParams()
+{
+  InputParameters params = MooseObjectAction::validParams();
+  params.addClassDescription("Add a preconditioner to the MFEM problem.");
+  return params;
+}
+
+AddMFEMPreconditionerAction::AddMFEMPreconditionerAction(const InputParameters & parameters)
+  : MooseObjectAction(parameters)
+{
+}
+
+void
+AddMFEMPreconditionerAction::act()
+{
+  MFEMProblem & mfem_problem = static_cast<MFEMProblem &>(*_problem);
+
+  mfem_problem.addMFEMPreconditioner(_type, _name, _moose_object_pars);
+}
+
+#endif
diff --git a/framework/src/mfem/actions/AddMFEMSolverAction.C b/framework/src/mfem/actions/AddMFEMSolverAction.C
new file mode 100644
index 000000000000..5f08bc473833
--- /dev/null
+++ b/framework/src/mfem/actions/AddMFEMSolverAction.C
@@ -0,0 +1,29 @@
+#ifdef MFEM_ENABLED
+
+#include "AddMFEMSolverAction.h"
+#include "MFEMProblem.h"
+
+registerMooseAction("MooseApp", AddMFEMSolverAction, "add_mfem_solver");
+
+InputParameters
+AddMFEMSolverAction::validParams()
+{
+  InputParameters params = MooseObjectAction::validParams();
+  params.addClassDescription("Set the platypus solver and the solver options.");
+  return params;
+}
+
+AddMFEMSolverAction::AddMFEMSolverAction(const InputParameters & parameters)
+  : MooseObjectAction(parameters)
+{
+}
+
+void
+AddMFEMSolverAction::act()
+{
+  MFEMProblem & mfem_problem = static_cast<MFEMProblem &>(*_problem);
+
+  mfem_problem.addMFEMSolver(_type, _name, _moose_object_pars);
+}
+
+#endif
diff --git a/framework/src/mfem/actions/AddProblemOperatorAction.C b/framework/src/mfem/actions/AddProblemOperatorAction.C
new file mode 100644
index 000000000000..14b9ad25cfb5
--- /dev/null
+++ b/framework/src/mfem/actions/AddProblemOperatorAction.C
@@ -0,0 +1,29 @@
+#ifdef MFEM_ENABLED
+
+#include "AddProblemOperatorAction.h"
+
+registerMooseAction("MooseApp", AddProblemOperatorAction, "add_mfem_problem_operator");
+
+InputParameters
+AddProblemOperatorAction::validParams()
+{
+  InputParameters params = Action::validParams();
+  params.addClassDescription(
+      "Set the ProblemOperator used in the MFEMExecutioner to solve the FE problem.");
+  return params;
+}
+
+AddProblemOperatorAction::AddProblemOperatorAction(const InputParameters & parameters)
+  : Action(parameters)
+{
+}
+
+void
+AddProblemOperatorAction::act()
+{
+  MFEMProblem * mfem_problem = dynamic_cast<MFEMProblem *>(_problem.get());
+  if (mfem_problem)
+    mfem_problem->initProblemOperator();
+}
+
+#endif
diff --git a/framework/src/mfem/actions/SetMeshFESpaceAction.C b/framework/src/mfem/actions/SetMeshFESpaceAction.C
new file mode 100644
index 000000000000..180c9e615a98
--- /dev/null
+++ b/framework/src/mfem/actions/SetMeshFESpaceAction.C
@@ -0,0 +1,40 @@
+#ifdef MFEM_ENABLED
+
+#include "SetMeshFESpaceAction.h"
+
+registerMooseAction("MooseApp", SetMeshFESpaceAction, "set_mesh_fe_space");
+
+InputParameters
+SetMeshFESpaceAction::validParams()
+{
+  InputParameters params = Action::validParams();
+  params.addClassDescription("Set the mesh nodal finite element space to the same as the mesh "
+                             "displacement variable, if one is specified.");
+  return params;
+}
+
+SetMeshFESpaceAction::SetMeshFESpaceAction(const InputParameters & parameters) : Action(parameters)
+{
+}
+
+void
+SetMeshFESpaceAction::act()
+{
+  auto * mfem_problem = dynamic_cast<MFEMProblem *>(_problem.get());
+
+  if (!mfem_problem)
+  {
+    return;
+  }
+
+  mfem::ParMesh & mesh = mfem_problem->mesh().getMFEMParMesh();
+  auto const displacement = mfem_problem->getMeshDisplacementGridFunction();
+  if (!displacement)
+  {
+    return;
+  }
+
+  mesh.SetNodalFESpace(displacement.value().get().ParFESpace());
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMBoundaryCondition.C b/framework/src/mfem/bcs/MFEMBoundaryCondition.C
new file mode 100644
index 000000000000..f5fdd6f6ff1f
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMBoundaryCondition.C
@@ -0,0 +1,59 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMBoundaryCondition.h"
+#include "MFEMProblem.h"
+#include "MFEMMesh.h"
+#include "libmesh/ignore_warnings.h"
+#include "mfem/miniapps/common/mesh_extras.hpp"
+#include "libmesh/restore_warnings.h"
+
+InputParameters
+MFEMBoundaryCondition::validParams()
+{
+  InputParameters params = MFEMGeneralUserObject::validParams();
+  params.addClassDescription("Base class for applying boundary conditions to MFEM problems.");
+  params.registerBase("BoundaryCondition");
+  // Create user-facing 'boundary' input for restricting inheriting object to boundaries
+  params.addParam<std::vector<BoundaryName>>(
+      "boundary",
+      "The list of boundaries (ids or names) from the mesh where this boundary condition applies");
+  params.addParam<std::string>("variable", "Variable on which to apply the boundary condition");
+  return params;
+}
+
+MFEMBoundaryCondition::MFEMBoundaryCondition(const InputParameters & parameters)
+  : MFEMGeneralUserObject(parameters),
+    _test_var_name(getParam<std::string>("variable")),
+    _boundary_names(getParam<std::vector<BoundaryName>>("boundary")),
+    _bdr_attributes(_boundary_names.size())
+{
+  auto & mesh = getMFEMProblem().mesh().getMFEMParMesh();
+
+  for (const auto i : index_range(_boundary_names))
+  {
+    const auto & boundary_name = _boundary_names[i];
+    try
+    {
+      // Is this a boundary ID
+      _bdr_attributes[i] = std::stoi(boundary_name);
+    }
+    catch (...)
+    {
+      // It was not
+      auto & bnd_ids = mesh.bdr_attribute_sets.GetAttributeSet(boundary_name);
+      if (bnd_ids.Size() != 1)
+        this->mooseError(
+            "There should be a 1-to-1 correspondence between boundary name and boundary ID");
+      _bdr_attributes[i] = bnd_ids[0];
+    }
+  }
+}
+
+mfem::Array<int>
+MFEMBoundaryCondition::GetMarkers(mfem::Mesh & mesh)
+{
+  mfem::common::AttrToMarker(mesh.bdr_attributes.Max(), _bdr_attributes, _bdr_markers);
+  return _bdr_markers;
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMConvectiveHeatFluxBC.C b/framework/src/mfem/bcs/MFEMConvectiveHeatFluxBC.C
new file mode 100644
index 000000000000..f42588c06ed4
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMConvectiveHeatFluxBC.C
@@ -0,0 +1,50 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMConvectiveHeatFluxBC.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMConvectiveHeatFluxBC);
+
+InputParameters
+MFEMConvectiveHeatFluxBC::validParams()
+{
+  InputParameters params = MFEMIntegratedBC::validParams();
+  // FIXME: Should these really be specified via properties? T_infinity in particular? Use functions
+  // instead?
+  params.addClassDescription(
+      "Convective heat transfer boundary condition with temperature and heat "
+      "transfer coefficent given by material properties to add to MFEM problems.");
+  params.addRequiredParam<platypus::MFEMScalarCoefficientName>(
+      "T_infinity", "Name of far-field temperature coefficient");
+  params.addRequiredParam<platypus::MFEMScalarCoefficientName>("heat_transfer_coefficient",
+                                                               "Name of heat transfer coefficient");
+  return params;
+}
+
+// TODO: Currently assumes the vector function coefficient is 3D
+MFEMConvectiveHeatFluxBC::MFEMConvectiveHeatFluxBC(const InputParameters & parameters)
+  : MFEMIntegratedBC(parameters),
+    _heat_transfer_coef(getScalarProperty(
+        getParam<platypus::MFEMScalarCoefficientName>("heat_transfer_coefficient"))),
+    _T_inf_coef(getScalarProperty(getParam<platypus::MFEMScalarCoefficientName>("T_infinity"))),
+    _external_heat_flux_coef(getMFEMProblem().makeScalarCoefficient<mfem::ProductCoefficient>(
+        _heat_transfer_coef, _T_inf_coef))
+{
+}
+
+// Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+// caller.
+mfem::LinearFormIntegrator *
+MFEMConvectiveHeatFluxBC::createLinearFormIntegrator()
+{
+  return new mfem::BoundaryLFIntegrator(*_external_heat_flux_coef);
+}
+
+// Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+mfem::BilinearFormIntegrator *
+MFEMConvectiveHeatFluxBC::createBilinearFormIntegrator()
+{
+  return new mfem::BoundaryMassIntegrator(_heat_transfer_coef);
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMEssentialBC.C b/framework/src/mfem/bcs/MFEMEssentialBC.C
new file mode 100644
index 000000000000..e4d334d495fb
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMEssentialBC.C
@@ -0,0 +1,17 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMEssentialBC.h"
+
+InputParameters
+MFEMEssentialBC::validParams()
+{
+  InputParameters params = MFEMBoundaryCondition::validParams();
+  return params;
+}
+
+MFEMEssentialBC::MFEMEssentialBC(const InputParameters & parameters)
+  : MFEMBoundaryCondition(parameters)
+{
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMIntegratedBC.C b/framework/src/mfem/bcs/MFEMIntegratedBC.C
new file mode 100644
index 000000000000..16d18564a3f4
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMIntegratedBC.C
@@ -0,0 +1,17 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMIntegratedBC.h"
+
+InputParameters
+MFEMIntegratedBC::validParams()
+{
+  InputParameters params = MFEMBoundaryCondition::validParams();
+  return params;
+}
+
+MFEMIntegratedBC::MFEMIntegratedBC(const InputParameters & parameters)
+  : MFEMBoundaryCondition(parameters)
+{
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMScalarDirichletBC.C b/framework/src/mfem/bcs/MFEMScalarDirichletBC.C
new file mode 100644
index 000000000000..994932f5bea7
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMScalarDirichletBC.C
@@ -0,0 +1,32 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMScalarDirichletBC.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMScalarDirichletBC);
+
+InputParameters
+MFEMScalarDirichletBC::validParams()
+{
+  InputParameters params = MFEMEssentialBC::validParams();
+  params.addClassDescription("Applies a Dirichlet condition to a scalar variable.");
+  params.addRequiredParam<Real>("value", "The scalar value to use in the Dirichlet condition");
+  return params;
+}
+
+MFEMScalarDirichletBC::MFEMScalarDirichletBC(const InputParameters & parameters)
+  : MFEMEssentialBC(parameters),
+    _coef(
+        getMFEMProblem().makeScalarCoefficient<mfem::ConstantCoefficient>(getParam<Real>("value")))
+{
+}
+
+void
+MFEMScalarDirichletBC::ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_)
+{
+  mfem::Array<int> ess_bdrs(mesh_->bdr_attributes.Max());
+  ess_bdrs = GetMarkers(*mesh_);
+  gridfunc.ProjectBdrCoefficient(*_coef, ess_bdrs);
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMScalarFunctorBoundaryIntegratedBC.C b/framework/src/mfem/bcs/MFEMScalarFunctorBoundaryIntegratedBC.C
new file mode 100644
index 000000000000..57522af9822a
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMScalarFunctorBoundaryIntegratedBC.C
@@ -0,0 +1,43 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMScalarFunctorBoundaryIntegratedBC.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMScalarFunctorBoundaryIntegratedBC);
+
+InputParameters
+MFEMScalarFunctorBoundaryIntegratedBC::validParams()
+{
+  InputParameters params = MFEMIntegratedBC::validParams();
+  params.addClassDescription("Adds the domain integrator to an MFEM problem for the linear form "
+                             "$(f, v)_\\Omega$ "
+                             "arising from the weak form of the forcing term $f$.");
+  params.addRequiredParam<platypus::MFEMScalarCoefficientName>(
+      "coefficient", "The scalar MFEM coefficient which will be used in the integrated BC.");
+  return params;
+}
+
+MFEMScalarFunctorBoundaryIntegratedBC::MFEMScalarFunctorBoundaryIntegratedBC(
+    const InputParameters & parameters)
+  : MFEMIntegratedBC(parameters),
+    _coef_name(getParam<platypus::MFEMScalarCoefficientName>("coefficient")),
+    _coef(getScalarProperty(_coef_name))
+{
+}
+
+// Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+// caller.
+mfem::LinearFormIntegrator *
+MFEMScalarFunctorBoundaryIntegratedBC::createLinearFormIntegrator()
+{
+  return new mfem::BoundaryLFIntegrator(_coef);
+}
+
+// Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+mfem::BilinearFormIntegrator *
+MFEMScalarFunctorBoundaryIntegratedBC::createBilinearFormIntegrator()
+{
+  return nullptr;
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMScalarFunctorDirichletBC.C b/framework/src/mfem/bcs/MFEMScalarFunctorDirichletBC.C
new file mode 100644
index 000000000000..b6fcdd2bd98d
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMScalarFunctorDirichletBC.C
@@ -0,0 +1,27 @@
+#include "MFEMScalarFunctorDirichletBC.h"
+
+registerMooseObject("MooseApp", MFEMScalarFunctorDirichletBC);
+
+InputParameters
+MFEMScalarFunctorDirichletBC::validParams()
+{
+  InputParameters params = MFEMEssentialBC::validParams();
+  params.addRequiredParam<platypus::MFEMScalarCoefficientName>(
+      "coefficient", "The coefficient setting the values on the essential boundary.");
+  return params;
+}
+
+MFEMScalarFunctorDirichletBC::MFEMScalarFunctorDirichletBC(const InputParameters & parameters)
+  : MFEMEssentialBC(parameters),
+    _coef_name(getParam<platypus::MFEMScalarCoefficientName>("coefficient")),
+    _coef(getScalarProperty(_coef_name))
+{
+}
+
+void
+MFEMScalarFunctorDirichletBC::ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_)
+{
+  mfem::Array<int> ess_bdrs(mesh_->bdr_attributes.Max());
+  ess_bdrs = GetMarkers(*mesh_);
+  gridfunc.ProjectBdrCoefficient(_coef, ess_bdrs);
+}
diff --git a/framework/src/mfem/bcs/MFEMVectorBoundaryIntegratedBC.C b/framework/src/mfem/bcs/MFEMVectorBoundaryIntegratedBC.C
new file mode 100644
index 000000000000..02406d69afb1
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorBoundaryIntegratedBC.C
@@ -0,0 +1,43 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVectorBoundaryIntegratedBC.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMVectorBoundaryIntegratedBC);
+
+InputParameters
+MFEMVectorBoundaryIntegratedBC::validParams()
+{
+  InputParameters params = MFEMIntegratedBC::validParams();
+  params.addClassDescription("Adds the boundary integrator to an MFEM problem for the linear form "
+                             "$(\\vec f, \\vec v)_{\\partial\\Omega}$");
+  params.addRequiredParam<std::vector<Real>>(
+      "values", "The vector whose components will be used in the integrated BC");
+  return params;
+}
+
+// TODO: Currently assumes the vector function coefficient is 3D
+MFEMVectorBoundaryIntegratedBC::MFEMVectorBoundaryIntegratedBC(const InputParameters & parameters)
+  : MFEMIntegratedBC(parameters),
+    _vec_value(getParam<std::vector<Real>>("values")),
+    _vec_coef(getMFEMProblem().makeVectorCoefficient<mfem::VectorConstantCoefficient>(
+        mfem::Vector(_vec_value.data(), _vec_value.size())))
+{
+}
+
+// Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+// caller.
+mfem::LinearFormIntegrator *
+MFEMVectorBoundaryIntegratedBC::createLinearFormIntegrator()
+{
+  return new mfem::VectorBoundaryLFIntegrator(*_vec_coef);
+}
+
+// Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+mfem::BilinearFormIntegrator *
+MFEMVectorBoundaryIntegratedBC::createBilinearFormIntegrator()
+{
+  return nullptr;
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMVectorDirichletBC.C b/framework/src/mfem/bcs/MFEMVectorDirichletBC.C
new file mode 100644
index 000000000000..71672f65119e
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorDirichletBC.C
@@ -0,0 +1,30 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVectorDirichletBC.h"
+
+registerMooseObject("MooseApp", MFEMVectorDirichletBC);
+
+InputParameters
+MFEMVectorDirichletBC::validParams()
+{
+  InputParameters params = MFEMVectorDirichletBCBase::validParams();
+  params.addClassDescription(
+      "Applies a Dirichlet condition to all components of a vector variable.");
+  return params;
+}
+
+// TODO: Currently assumes the vector function coefficient is 3D
+MFEMVectorDirichletBC::MFEMVectorDirichletBC(const InputParameters & parameters)
+  : MFEMVectorDirichletBCBase(parameters)
+{
+}
+
+void
+MFEMVectorDirichletBC::ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_)
+{
+  mfem::Array<int> ess_bdrs(mesh_->bdr_attributes.Max());
+  ess_bdrs = GetMarkers(*mesh_);
+  gridfunc.ProjectBdrCoefficient(*_vec_coef, ess_bdrs);
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMVectorDirichletBCBase.C b/framework/src/mfem/bcs/MFEMVectorDirichletBCBase.C
new file mode 100644
index 000000000000..1c76f1760dfc
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorDirichletBCBase.C
@@ -0,0 +1,24 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVectorDirichletBCBase.h"
+#include "MFEMProblem.h"
+
+InputParameters
+MFEMVectorDirichletBCBase::validParams()
+{
+  InputParameters params = MFEMEssentialBC::validParams();
+  params.addRequiredParam<std::vector<Real>>("values",
+                                             "The vector which will be used in the integrated BC");
+  return params;
+}
+
+// TODO: Currently assumes the vector function coefficient is 3D
+MFEMVectorDirichletBCBase::MFEMVectorDirichletBCBase(const InputParameters & parameters)
+  : MFEMEssentialBC(parameters),
+    _vec_value(getParam<std::vector<Real>>("values")),
+    _vec_coef(getMFEMProblem().makeVectorCoefficient<mfem::VectorConstantCoefficient>(
+        mfem::Vector(_vec_value.data(), _vec_value.size())))
+{
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMVectorFunctorBoundaryIntegratedBC.C b/framework/src/mfem/bcs/MFEMVectorFunctorBoundaryIntegratedBC.C
new file mode 100644
index 000000000000..25a5f2c9aca1
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorFunctorBoundaryIntegratedBC.C
@@ -0,0 +1,36 @@
+#include "MFEMVectorFunctorBoundaryIntegratedBC.h"
+
+registerMooseObject("MooseApp", MFEMVectorFunctorBoundaryIntegratedBC);
+
+InputParameters
+MFEMVectorFunctorBoundaryIntegratedBC::validParams()
+{
+  InputParameters params = MFEMIntegratedBC::validParams();
+  params.addRequiredParam<platypus::MFEMVectorCoefficientName>(
+      "vector_coefficient", "Vector coefficient used in the boundary integrator.");
+  return params;
+}
+
+// TODO: Currently assumes the vector function coefficient is 3D
+MFEMVectorFunctorBoundaryIntegratedBC::MFEMVectorFunctorBoundaryIntegratedBC(
+    const InputParameters & parameters)
+  : MFEMIntegratedBC(parameters),
+    _vec_coef(
+        getVectorProperty(getParam<platypus::MFEMVectorCoefficientName>("vector_coefficient")))
+{
+}
+
+// Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+// caller.
+mfem::LinearFormIntegrator *
+MFEMVectorFunctorBoundaryIntegratedBC::createLinearFormIntegrator()
+{
+  return new mfem::VectorBoundaryLFIntegrator(_vec_coef);
+}
+
+// Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+mfem::BilinearFormIntegrator *
+MFEMVectorFunctorBoundaryIntegratedBC::createBilinearFormIntegrator()
+{
+  return nullptr;
+}
diff --git a/framework/src/mfem/bcs/MFEMVectorFunctorDirichletBC.C b/framework/src/mfem/bcs/MFEMVectorFunctorDirichletBC.C
new file mode 100644
index 000000000000..6c5c5738ffdd
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorFunctorDirichletBC.C
@@ -0,0 +1,16 @@
+#include "MFEMVectorFunctorDirichletBC.h"
+
+registerMooseObject("MooseApp", MFEMVectorFunctorDirichletBC);
+
+MFEMVectorFunctorDirichletBC::MFEMVectorFunctorDirichletBC(const InputParameters & parameters)
+  : MFEMVectorFunctorDirichletBCBase(parameters)
+{
+}
+
+void
+MFEMVectorFunctorDirichletBC::ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_)
+{
+  mfem::Array<int> ess_bdrs(mesh_->bdr_attributes.Max());
+  ess_bdrs = GetMarkers(*mesh_);
+  gridfunc.ProjectBdrCoefficient(_vec_coef, ess_bdrs);
+}
diff --git a/framework/src/mfem/bcs/MFEMVectorFunctorDirichletBCBase.C b/framework/src/mfem/bcs/MFEMVectorFunctorDirichletBCBase.C
new file mode 100644
index 000000000000..3b32c886a5a3
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorFunctorDirichletBCBase.C
@@ -0,0 +1,20 @@
+#include "MFEMVectorFunctorDirichletBCBase.h"
+
+InputParameters
+MFEMVectorFunctorDirichletBCBase::validParams()
+{
+  InputParameters params = MFEMEssentialBC::validParams();
+  params.addRequiredParam<platypus::MFEMVectorCoefficientName>(
+      "vector_coefficient",
+      "The vector coefficient specifying the values variable takes on the boundary.");
+  return params;
+}
+
+// TODO: Currently assumes the vector function coefficient is 3D
+MFEMVectorFunctorDirichletBCBase::MFEMVectorFunctorDirichletBCBase(
+    const InputParameters & parameters)
+  : MFEMEssentialBC(parameters),
+    _vec_coef_name(getParam<platypus::MFEMVectorCoefficientName>("vector_coefficient")),
+    _vec_coef(getVectorProperty(_vec_coef_name))
+{
+}
diff --git a/framework/src/mfem/bcs/MFEMVectorFunctorNormalDirichletBC.C b/framework/src/mfem/bcs/MFEMVectorFunctorNormalDirichletBC.C
new file mode 100644
index 000000000000..22e952b76741
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorFunctorNormalDirichletBC.C
@@ -0,0 +1,26 @@
+#include "MFEMVectorFunctorNormalDirichletBC.h"
+
+registerMooseObject("MooseApp", MFEMVectorFunctorNormalDirichletBC);
+
+InputParameters
+MFEMVectorFunctorNormalDirichletBC::validParams()
+{
+  InputParameters params = MFEMVectorFunctorDirichletBCBase::validParams();
+  params.addClassDescription(
+      "Applies a Dirichlet condition to the normal components of a vector variable.");
+  return params;
+}
+
+MFEMVectorFunctorNormalDirichletBC::MFEMVectorFunctorNormalDirichletBC(
+    const InputParameters & parameters)
+  : MFEMVectorFunctorDirichletBCBase(parameters)
+{
+}
+
+void
+MFEMVectorFunctorNormalDirichletBC::ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_)
+{
+  mfem::Array<int> ess_bdrs(mesh_->bdr_attributes.Max());
+  ess_bdrs = GetMarkers(*mesh_);
+  gridfunc.ProjectBdrCoefficientNormal(_vec_coef, ess_bdrs);
+}
diff --git a/framework/src/mfem/bcs/MFEMVectorFunctorNormalIntegratedBC.C b/framework/src/mfem/bcs/MFEMVectorFunctorNormalIntegratedBC.C
new file mode 100644
index 000000000000..6b2d35888d39
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorFunctorNormalIntegratedBC.C
@@ -0,0 +1,37 @@
+#include "MFEMVectorFunctorNormalIntegratedBC.h"
+
+registerMooseObject("MooseApp", MFEMVectorFunctorNormalIntegratedBC);
+
+InputParameters
+MFEMVectorFunctorNormalIntegratedBC::validParams()
+{
+  InputParameters params = MFEMIntegratedBC::validParams();
+  params.addRequiredParam<platypus::MFEMVectorCoefficientName>(
+      "vector_coefficient",
+      "The vector function whose normal component will be used in the integrated BC");
+  return params;
+}
+
+// TODO: Currently assumes the vector function coefficient is 3D
+MFEMVectorFunctorNormalIntegratedBC::MFEMVectorFunctorNormalIntegratedBC(
+    const InputParameters & parameters)
+  : MFEMIntegratedBC(parameters),
+    _vec_coef_name(getParam<platypus::MFEMVectorCoefficientName>("vector_coefficient")),
+    _vec_coef(getVectorProperty(_vec_coef_name))
+{
+}
+
+// Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+// caller.
+mfem::LinearFormIntegrator *
+MFEMVectorFunctorNormalIntegratedBC::createLinearFormIntegrator()
+{
+  return new mfem::BoundaryNormalLFIntegrator(_vec_coef);
+}
+
+// Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+mfem::BilinearFormIntegrator *
+MFEMVectorFunctorNormalIntegratedBC::createBilinearFormIntegrator()
+{
+  return nullptr;
+}
diff --git a/framework/src/mfem/bcs/MFEMVectorFunctorTangentialDirichletBC.C b/framework/src/mfem/bcs/MFEMVectorFunctorTangentialDirichletBC.C
new file mode 100644
index 000000000000..19132f8679e6
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorFunctorTangentialDirichletBC.C
@@ -0,0 +1,17 @@
+#include "MFEMVectorFunctorTangentialDirichletBC.h"
+
+registerMooseObject("MooseApp", MFEMVectorFunctorTangentialDirichletBC);
+
+MFEMVectorFunctorTangentialDirichletBC::MFEMVectorFunctorTangentialDirichletBC(
+    const InputParameters & parameters)
+  : MFEMVectorFunctorDirichletBCBase(parameters)
+{
+}
+
+void
+MFEMVectorFunctorTangentialDirichletBC::ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_)
+{
+  mfem::Array<int> ess_bdrs(mesh_->bdr_attributes.Max());
+  ess_bdrs = GetMarkers(*mesh_);
+  gridfunc.ProjectBdrCoefficientTangent(_vec_coef, ess_bdrs);
+}
diff --git a/framework/src/mfem/bcs/MFEMVectorNormalDirichletBC.C b/framework/src/mfem/bcs/MFEMVectorNormalDirichletBC.C
new file mode 100644
index 000000000000..e163587e6143
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorNormalDirichletBC.C
@@ -0,0 +1,29 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVectorNormalDirichletBC.h"
+
+registerMooseObject("MooseApp", MFEMVectorNormalDirichletBC);
+
+InputParameters
+MFEMVectorNormalDirichletBC::validParams()
+{
+  InputParameters params = MFEMVectorDirichletBCBase::validParams();
+  params.addClassDescription(
+      "Applies a Dirichlet condition to the normal components of a vector variable.");
+  return params;
+}
+
+MFEMVectorNormalDirichletBC::MFEMVectorNormalDirichletBC(const InputParameters & parameters)
+  : MFEMVectorDirichletBCBase(parameters)
+{
+}
+
+void
+MFEMVectorNormalDirichletBC::ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_)
+{
+  mfem::Array<int> ess_bdrs(mesh_->bdr_attributes.Max());
+  ess_bdrs = GetMarkers(*mesh_);
+  gridfunc.ProjectBdrCoefficientNormal(*_vec_coef, ess_bdrs);
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMVectorNormalIntegratedBC.C b/framework/src/mfem/bcs/MFEMVectorNormalIntegratedBC.C
new file mode 100644
index 000000000000..0e5e167ab786
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorNormalIntegratedBC.C
@@ -0,0 +1,43 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVectorNormalIntegratedBC.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMVectorNormalIntegratedBC);
+
+InputParameters
+MFEMVectorNormalIntegratedBC::validParams()
+{
+  InputParameters params = MFEMIntegratedBC::validParams();
+  params.addClassDescription("Adds the boundary integrator to an MFEM problem for the linear form "
+                             "$(\\vec f \\cdot \\hat n, v)_{\\partial\\Omega}$");
+  params.addRequiredParam<std::vector<Real>>(
+      "values", "The vector whose normal component will be used in the integrated BC");
+  return params;
+}
+
+// TODO: Currently assumes the vector function coefficient is 3D
+MFEMVectorNormalIntegratedBC::MFEMVectorNormalIntegratedBC(const InputParameters & parameters)
+  : MFEMIntegratedBC(parameters),
+    _vec_value(getParam<std::vector<Real>>("values")),
+    _vec_coef(getMFEMProblem().makeVectorCoefficient<mfem::VectorConstantCoefficient>(
+        mfem::Vector(_vec_value.data(), _vec_value.size())))
+{
+}
+
+// Create a new MFEM integrator to apply to the RHS of the weak form. Ownership managed by the
+// caller.
+mfem::LinearFormIntegrator *
+MFEMVectorNormalIntegratedBC::createLinearFormIntegrator()
+{
+  return new mfem::BoundaryNormalLFIntegrator(*_vec_coef);
+}
+
+// Create a new MFEM integrator to apply to LHS of the weak form. Ownership managed by the caller.
+mfem::BilinearFormIntegrator *
+MFEMVectorNormalIntegratedBC::createBilinearFormIntegrator()
+{
+  return nullptr;
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/MFEMVectorTangentialDirichletBC.C b/framework/src/mfem/bcs/MFEMVectorTangentialDirichletBC.C
new file mode 100644
index 000000000000..4dcb9b6a8cd3
--- /dev/null
+++ b/framework/src/mfem/bcs/MFEMVectorTangentialDirichletBC.C
@@ -0,0 +1,29 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVectorTangentialDirichletBC.h"
+
+registerMooseObject("MooseApp", MFEMVectorTangentialDirichletBC);
+
+InputParameters
+MFEMVectorTangentialDirichletBC::validParams()
+{
+  InputParameters params = MFEMVectorDirichletBCBase::validParams();
+  params.addClassDescription(
+      "Applies a Dirichlet condition to the tangential components of a vector variable.");
+  return params;
+}
+
+MFEMVectorTangentialDirichletBC::MFEMVectorTangentialDirichletBC(const InputParameters & parameters)
+  : MFEMVectorDirichletBCBase(parameters)
+{
+}
+
+void
+MFEMVectorTangentialDirichletBC::ApplyBC(mfem::GridFunction & gridfunc, mfem::Mesh * mesh_)
+{
+  mfem::Array<int> ess_bdrs(mesh_->bdr_attributes.Max());
+  ess_bdrs = GetMarkers(*mesh_);
+  gridfunc.ProjectBdrCoefficientTangent(*_vec_coef, ess_bdrs);
+}
+
+#endif
diff --git a/framework/src/mfem/bcs/boundary_conditions.C b/framework/src/mfem/bcs/boundary_conditions.C
new file mode 100644
index 000000000000..be62714985cb
--- /dev/null
+++ b/framework/src/mfem/bcs/boundary_conditions.C
@@ -0,0 +1,111 @@
+#ifdef MFEM_ENABLED
+
+#include "boundary_conditions.h"
+
+namespace platypus
+{
+
+mfem::Array<int>
+BCMap::GetEssentialBdrMarkers(const std::string & name_, mfem::Mesh * mesh_)
+{
+  mfem::Array<int> global_ess_markers(mesh_->bdr_attributes.Max());
+  global_ess_markers = 0;
+  mfem::Array<int> ess_bdrs(mesh_->bdr_attributes.Max());
+  ess_bdrs = 0;
+
+  for (auto const & [name, bc_] : *this)
+  {
+    if (bc_->getTestVariableName() == name_)
+    {
+      auto bc = std::dynamic_pointer_cast<MFEMEssentialBC>(bc_);
+      if (bc != nullptr)
+      {
+        ess_bdrs = bc->GetMarkers(*mesh_);
+        for (auto it = 0; it != mesh_->bdr_attributes.Max(); ++it)
+        {
+          global_ess_markers[it] = std::max(global_ess_markers[it], ess_bdrs[it]);
+        }
+      }
+    }
+  }
+  return global_ess_markers;
+}
+
+void
+BCMap::ApplyEssentialBCs(const std::string & name_,
+                         mfem::Array<int> & ess_tdof_list,
+                         mfem::GridFunction & gridfunc,
+                         mfem::Mesh * mesh_)
+{
+  for (auto const & [name, bc_] : *this)
+  {
+    if (bc_->getTestVariableName() == name_)
+    {
+      auto bc = std::dynamic_pointer_cast<MFEMEssentialBC>(bc_);
+      if (bc != nullptr)
+      {
+        bc->ApplyBC(gridfunc, mesh_);
+      }
+    }
+  }
+  mfem::Array<int> ess_bdr = GetEssentialBdrMarkers(name_, mesh_);
+  gridfunc.FESpace()->GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
+}
+
+void
+BCMap::ApplyIntegratedBCs(const std::string & name_, mfem::LinearForm & lf, mfem::Mesh * mesh_)
+{
+  for (auto const & [name, bc_] : *this)
+  {
+    if (bc_->getTestVariableName() != name_)
+    {
+      continue;
+    }
+
+    auto bc = std::dynamic_pointer_cast<MFEMIntegratedBC>(bc_);
+    if (!bc)
+    {
+      continue;
+    }
+
+    bc->GetMarkers(*mesh_);
+    mfem::LinearFormIntegrator * lfi = bc->createLinearFormIntegrator();
+    if (!lfi)
+    {
+      continue;
+    }
+
+    lf.AddBoundaryIntegrator(lfi, bc->_bdr_markers);
+  }
+};
+
+void
+BCMap::ApplyIntegratedBCs(const std::string & name_, mfem::BilinearForm & blf, mfem::Mesh * mesh_)
+{
+  for (auto const & [name, bc_] : *this)
+  {
+    if (bc_->getTestVariableName() != name_)
+    {
+      continue;
+    }
+
+    auto bc = std::dynamic_pointer_cast<MFEMIntegratedBC>(bc_);
+    if (!bc)
+    {
+      continue;
+    }
+
+    bc->GetMarkers(*mesh_);
+    mfem::BilinearFormIntegrator * blfi = bc->createBilinearFormIntegrator();
+    if (!blfi)
+    {
+      continue;
+    }
+
+    blf.AddBoundaryIntegrator(blfi, bc->_bdr_markers);
+  }
+};
+
+} // namespace platypus
+
+#endif
diff --git a/framework/src/mfem/equation_systems/equation_system.C b/framework/src/mfem/equation_systems/equation_system.C
new file mode 100644
index 000000000000..deb9a0f93fe8
--- /dev/null
+++ b/framework/src/mfem/equation_systems/equation_system.C
@@ -0,0 +1,578 @@
+#ifdef MFEM_ENABLED
+
+#include "equation_system.h"
+#include "libmesh/int_range.h"
+
+namespace platypus
+{
+
+EquationSystem::~EquationSystem() { _h_blocks.DeleteAll(); }
+
+bool
+EquationSystem::VectorContainsName(const std::vector<std::string> & the_vector,
+                                   const std::string & name) const
+{
+
+  auto iter = std::find(the_vector.begin(), the_vector.end(), name);
+
+  return (iter != the_vector.end());
+}
+
+void
+EquationSystem::AddTrialVariableNameIfMissing(const std::string & trial_var_name)
+{
+  if (!VectorContainsName(_trial_var_names, trial_var_name))
+  {
+    _trial_var_names.push_back(trial_var_name);
+  }
+}
+
+void
+EquationSystem::AddTestVariableNameIfMissing(const std::string & test_var_name)
+{
+  if (!VectorContainsName(_test_var_names, test_var_name))
+  {
+    _test_var_names.push_back(test_var_name);
+  }
+}
+
+void
+EquationSystem::AddKernel(const std::string & test_var_name,
+                          std::shared_ptr<MFEMBilinearFormKernel> blf_kernel)
+{
+  AddTestVariableNameIfMissing(test_var_name);
+  AddTrialVariableNameIfMissing(test_var_name);
+  addKernelToMap<MFEMBilinearFormKernel>(blf_kernel, _blf_kernels_map);
+}
+
+void
+EquationSystem::AddKernel(const std::string & test_var_name,
+                          std::shared_ptr<MFEMLinearFormKernel> lf_kernel)
+{
+  AddTestVariableNameIfMissing(test_var_name);
+  addKernelToMap<MFEMLinearFormKernel>(lf_kernel, _lf_kernels_map);
+}
+
+void
+EquationSystem::AddKernel(const std::string & test_var_name,
+                          std::shared_ptr<MFEMNonlinearFormKernel> nlf_kernel)
+{
+  AddTestVariableNameIfMissing(test_var_name);
+  AddTrialVariableNameIfMissing(nlf_kernel->getTrialVariableName());
+  addKernelToMap<MFEMNonlinearFormKernel>(nlf_kernel, _nlf_kernels_map);
+}
+
+void
+EquationSystem::AddKernel(const std::string & trial_var_name,
+                          const std::string & test_var_name,
+                          std::shared_ptr<MFEMMixedBilinearFormKernel> mblf_kernel)
+{
+  AddTestVariableNameIfMissing(test_var_name);
+  AddTrialVariableNameIfMissing(trial_var_name);
+  // Register new mblf kernels map if not present for this test variable
+  if (!_mblf_kernels_map_map.Has(test_var_name))
+  {
+    auto kernel_field_map = std::make_shared<
+        platypus::NamedFieldsMap<std::vector<std::shared_ptr<MFEMMixedBilinearFormKernel>>>>();
+
+    _mblf_kernels_map_map.Register(test_var_name, std::move(kernel_field_map));
+  }
+
+  // Register new mblf kernels map if not present for the test/trial variable
+  // pair
+  if (!_mblf_kernels_map_map.Get(test_var_name)->Has(trial_var_name))
+  {
+    auto kernels = std::make_shared<std::vector<std::shared_ptr<MFEMMixedBilinearFormKernel>>>();
+
+    _mblf_kernels_map_map.Get(test_var_name)->Register(trial_var_name, std::move(kernels));
+  }
+
+  _mblf_kernels_map_map.GetRef(test_var_name)
+      .Get(trial_var_name)
+      ->push_back(std::move(mblf_kernel));
+}
+
+void
+EquationSystem::ApplyBoundaryConditions(platypus::BCMap & bc_map)
+{
+  _ess_tdof_lists.resize(_test_var_names.size());
+  for (const auto i : index_range(_test_var_names))
+  {
+    auto test_var_name = _test_var_names.at(i);
+    // Set default value of gridfunction used in essential BC. Values
+    // overwritten in applyEssentialBCs
+    *(_xs.at(i)) = 0.0;
+    *(_dxdts.at(i)) = 0.0;
+    bc_map.ApplyEssentialBCs(
+        test_var_name, _ess_tdof_lists.at(i), *(_xs.at(i)), _test_pfespaces.at(i)->GetParMesh());
+  }
+}
+
+void
+EquationSystem::FormLinearSystem(mfem::OperatorHandle & op,
+                                 mfem::BlockVector & trueX,
+                                 mfem::BlockVector & trueRHS)
+{
+
+  switch (_assembly_level)
+  {
+    case mfem::AssemblyLevel::LEGACY:
+      FormLegacySystem(op, trueX, trueRHS);
+      break;
+    default:
+      MFEM_VERIFY(_test_var_names.size() == 1,
+                  "Non-legacy assembly is only supported for single-variable systems");
+      MFEM_VERIFY(!_mblf_kernels_map_map.size(),
+                  "Non-legacy assembly is only supported for square systems");
+      FormSystem(op, trueX, trueRHS);
+  }
+}
+
+void
+EquationSystem::FormSystem(mfem::OperatorHandle & op,
+                           mfem::BlockVector & trueX,
+                           mfem::BlockVector & trueRHS)
+{
+  auto & test_var_name = _test_var_names.at(0);
+  auto blf = _blfs.Get(test_var_name);
+  auto lf = _lfs.Get(test_var_name);
+  mfem::BlockVector aux_x, aux_rhs;
+  mfem::OperatorPtr * aux_a = new mfem::OperatorPtr;
+
+  blf->FormLinearSystem(_ess_tdof_lists.at(0), *(_xs.at(0)), *lf, *aux_a, aux_x, aux_rhs);
+
+  trueX.GetBlock(0) = aux_x;
+  trueRHS.GetBlock(0) = aux_rhs;
+  trueX.SyncFromBlocks();
+  trueRHS.SyncFromBlocks();
+
+  op.Reset(aux_a->Ptr());
+}
+
+void
+EquationSystem::FormLegacySystem(mfem::OperatorHandle & op,
+                                 mfem::BlockVector & trueX,
+                                 mfem::BlockVector & trueRHS)
+{
+
+  // Allocate block operator
+  _h_blocks.DeleteAll();
+  _h_blocks.SetSize(_test_var_names.size(), _test_var_names.size());
+  // Form diagonal blocks.
+  for (const auto i : index_range(_test_var_names))
+  {
+    auto & test_var_name = _test_var_names.at(i);
+    auto blf = _blfs.Get(test_var_name);
+    auto lf = _lfs.Get(test_var_name);
+    mfem::Vector aux_x, aux_rhs;
+    mfem::HypreParMatrix * aux_a = new mfem::HypreParMatrix;
+    // Ownership of aux_a goes to the blf
+    blf->FormLinearSystem(_ess_tdof_lists.at(i), *(_xs.at(i)), *lf, *aux_a, aux_x, aux_rhs);
+    _h_blocks(i, i) = aux_a;
+    trueX.GetBlock(i) = aux_x;
+    trueRHS.GetBlock(i) = aux_rhs;
+  }
+
+  // Form off-diagonal blocks
+  for (const auto i : index_range(_test_var_names))
+  {
+    auto test_var_name = _test_var_names.at(i);
+    for (const auto j : index_range(_test_var_names))
+    {
+      auto trial_var_name = _test_var_names.at(j);
+
+      mfem::Vector aux_x, aux_rhs;
+      mfem::ParLinearForm aux_lf(_test_pfespaces.at(i));
+      aux_lf = 0.0;
+      if (_mblfs.Has(test_var_name) && _mblfs.Get(test_var_name)->Has(trial_var_name))
+      {
+        auto mblf = _mblfs.Get(test_var_name)->Get(trial_var_name);
+        mfem::HypreParMatrix * aux_a = new mfem::HypreParMatrix;
+        // Ownership of aux_a goes to the blf
+        mblf->FormRectangularLinearSystem(_ess_tdof_lists.at(j),
+                                          _ess_tdof_lists.at(i),
+                                          *(_xs.at(j)),
+                                          aux_lf,
+                                          *aux_a,
+                                          aux_x,
+                                          aux_rhs);
+        _h_blocks(i, j) = aux_a;
+        trueRHS.GetBlock(i) += aux_rhs;
+      }
+    }
+  }
+  // Sync memory
+  for (const auto i : index_range(_test_var_names))
+  {
+    trueX.GetBlock(i).SyncAliasMemory(trueX);
+    trueRHS.GetBlock(i).SyncAliasMemory(trueRHS);
+  }
+
+  // Create monolithic matrix
+  op.Reset(mfem::HypreParMatrixFromBlocks(_h_blocks));
+}
+
+void
+EquationSystem::BuildJacobian(mfem::BlockVector & trueX, mfem::BlockVector & trueRHS)
+{
+  height = trueX.Size();
+  width = trueRHS.Size();
+  FormLinearSystem(_jacobian, trueX, trueRHS);
+}
+
+void
+EquationSystem::Mult(const mfem::Vector & x, mfem::Vector & residual) const
+{
+  _jacobian->Mult(x, residual);
+  x.HostRead();
+  residual.HostRead();
+}
+
+mfem::Operator &
+EquationSystem::GetGradient(const mfem::Vector &) const
+{
+  return *_jacobian;
+}
+
+void
+EquationSystem::RecoverFEMSolution(mfem::BlockVector & trueX,
+                                   platypus::GridFunctions & gridfunctions)
+{
+  for (const auto i : index_range(_trial_var_names))
+  {
+    auto & trial_var_name = _trial_var_names.at(i);
+    trueX.GetBlock(i).SyncAliasMemory(trueX);
+    gridfunctions.Get(trial_var_name)->Distribute(&(trueX.GetBlock(i)));
+  }
+}
+
+void
+EquationSystem::Init(platypus::GridFunctions & gridfunctions,
+                     const platypus::FESpaces &,
+                     platypus::BCMap &,
+                     mfem::AssemblyLevel assembly_level)
+{
+  _assembly_level = assembly_level;
+
+  for (auto & test_var_name : _test_var_names)
+  {
+    if (!gridfunctions.Has(test_var_name))
+    {
+      MFEM_ABORT("Test variable " << test_var_name
+                                  << " requested by equation system during initialisation was "
+                                     "not found in gridfunctions");
+    }
+    // Store pointers to variable FESpaces
+    _test_pfespaces.push_back(gridfunctions.Get(test_var_name)->ParFESpace());
+    // Create auxiliary gridfunctions for applying Dirichlet conditions
+    _xs.emplace_back(
+        std::make_unique<mfem::ParGridFunction>(gridfunctions.Get(test_var_name)->ParFESpace()));
+    _dxdts.emplace_back(
+        std::make_unique<mfem::ParGridFunction>(gridfunctions.Get(test_var_name)->ParFESpace()));
+    _trial_variables.Register(test_var_name, gridfunctions.GetShared(test_var_name));
+  }
+}
+
+void
+EquationSystem::BuildLinearForms(platypus::BCMap & bc_map)
+{
+  // Register linear forms
+  for (const auto i : index_range(_test_var_names))
+  {
+    auto test_var_name = _test_var_names.at(i);
+    _lfs.Register(test_var_name, std::make_shared<mfem::ParLinearForm>(_test_pfespaces.at(i)));
+    _lfs.GetRef(test_var_name) = 0.0;
+    bc_map.ApplyIntegratedBCs(
+        test_var_name, _lfs.GetRef(test_var_name), _test_pfespaces.at(i)->GetParMesh());
+  }
+  // Apply boundary conditions
+  ApplyBoundaryConditions(bc_map);
+
+  for (auto & test_var_name : _test_var_names)
+  {
+    // Apply kernels
+    auto lf = _lfs.Get(test_var_name);
+    if (_lf_kernels_map.Has(test_var_name))
+    {
+      auto lf_kernels = _lf_kernels_map.GetRef(test_var_name);
+
+      for (auto & lf_kernel : lf_kernels)
+      {
+        lf->AddDomainIntegrator(lf_kernel->createIntegrator());
+      }
+    }
+    lf->Assemble();
+  }
+}
+
+void
+EquationSystem::BuildBilinearForms(platypus::BCMap & bc_map)
+{
+  // Register bilinear forms
+  for (const auto i : index_range(_test_var_names))
+  {
+    auto test_var_name = _test_var_names.at(i);
+    _blfs.Register(test_var_name, std::make_shared<mfem::ParBilinearForm>(_test_pfespaces.at(i)));
+
+    bc_map.ApplyIntegratedBCs(
+        test_var_name, _blfs.GetRef(test_var_name), _test_pfespaces.at(i)->GetParMesh());
+    // Apply kernels
+    auto blf = _blfs.Get(test_var_name);
+    if (_blf_kernels_map.Has(test_var_name))
+    {
+      blf->SetAssemblyLevel(_assembly_level);
+      auto blf_kernels = _blf_kernels_map.GetRef(test_var_name);
+
+      for (auto & blf_kernel : blf_kernels)
+      {
+        blf->AddDomainIntegrator(blf_kernel->createIntegrator());
+      }
+    }
+    // Assemble
+    blf->Assemble();
+  }
+}
+
+void
+EquationSystem::BuildMixedBilinearForms()
+{
+  // Register mixed bilinear forms. Note that not all combinations may
+  // have a kernel
+
+  // Create mblf for each test/trial pair
+  for (const auto i : index_range(_test_var_names))
+  {
+    auto test_var_name = _test_var_names.at(i);
+    auto test_mblfs = std::make_shared<platypus::NamedFieldsMap<mfem::ParMixedBilinearForm>>();
+    for (const auto j : index_range(_test_var_names))
+    {
+      auto trial_var_name = _test_var_names.at(j);
+
+      // Register MixedBilinearForm if kernels exist for it, and assemble
+      // kernels
+      if (_mblf_kernels_map_map.Has(test_var_name) &&
+          _mblf_kernels_map_map.Get(test_var_name)->Has(trial_var_name))
+      {
+        auto mblf_kernels = _mblf_kernels_map_map.GetRef(test_var_name).GetRef(trial_var_name);
+        auto mblf = std::make_shared<mfem::ParMixedBilinearForm>(_test_pfespaces.at(j),
+                                                                 _test_pfespaces.at(i));
+        // Apply all mixed kernels with this test/trial pair
+        for (auto & mblf_kernel : mblf_kernels)
+        {
+          mblf->AddDomainIntegrator(mblf_kernel->createIntegrator());
+        }
+        // Assemble mixed bilinear forms
+        mblf->Assemble();
+        // Register mixed bilinear forms associated with a single trial variable
+        // for the current test variable
+        test_mblfs->Register(trial_var_name, mblf);
+      }
+    }
+    // Register all mixed bilinear form sets associated with a single test
+    // variable
+    _mblfs.Register(test_var_name, test_mblfs);
+  }
+}
+
+void
+EquationSystem::BuildEquationSystem(platypus::BCMap & bc_map)
+{
+  BuildBilinearForms(bc_map);
+  BuildMixedBilinearForms();
+  BuildLinearForms(bc_map);
+}
+
+TimeDependentEquationSystem::TimeDependentEquationSystem() : _dt_coef(1.0) {}
+
+void
+TimeDependentEquationSystem::AddTrialVariableNameIfMissing(const std::string & var_name)
+{
+  // The TimeDependentEquationSystem operator expects to act on a vector of variable time
+  // derivatives
+  std::string var_time_derivative_name = GetTimeDerivativeName(var_name);
+
+  if (!VectorContainsName(_trial_var_names, var_time_derivative_name))
+  {
+    _trial_var_names.push_back(var_time_derivative_name);
+    _trial_var_time_derivative_names.push_back(var_time_derivative_name);
+  }
+}
+
+void
+TimeDependentEquationSystem::SetTimeStep(double dt)
+{
+  if (fabs(dt - _dt_coef.constant) > 1.0e-12 * dt)
+  {
+    _dt_coef.constant = dt;
+    for (auto test_var_name : _test_var_names)
+    {
+      auto blf = _blfs.Get(test_var_name);
+      blf->Update();
+      blf->Assemble();
+    }
+  }
+}
+
+void
+TimeDependentEquationSystem::AddKernel(const std::string & test_var_name,
+                                       std::shared_ptr<MFEMBilinearFormKernel> blf_kernel)
+{
+  if (blf_kernel->getTrialVariableName() == GetTimeDerivativeName(test_var_name))
+  {
+    AddTestVariableNameIfMissing(test_var_name);
+    AddTrialVariableNameIfMissing(test_var_name);
+    addKernelToMap<MFEMBilinearFormKernel>(blf_kernel, _td_blf_kernels_map);
+  }
+  else
+  {
+    EquationSystem::AddKernel(test_var_name, blf_kernel);
+  }
+}
+
+void
+TimeDependentEquationSystem::BuildBilinearForms(platypus::BCMap & bc_map)
+{
+  EquationSystem::BuildBilinearForms(bc_map);
+
+  // Build and assemble bilinear forms acting on time derivatives
+  for (const auto i : index_range(_test_var_names))
+  {
+    auto test_var_name = _test_var_names.at(i);
+
+    _td_blfs.Register(test_var_name,
+                      std::make_shared<mfem::ParBilinearForm>(_test_pfespaces.at(i)));
+    bc_map.ApplyIntegratedBCs(
+        test_var_name, _td_blfs.GetRef(test_var_name), _test_pfespaces.at(i)->GetParMesh());
+
+    // Apply kernels to td_blf
+    auto td_blf = _td_blfs.Get(test_var_name);
+    if (_td_blf_kernels_map.Has(test_var_name))
+    {
+      td_blf->SetAssemblyLevel(_assembly_level);
+      auto td_blf_kernels = _td_blf_kernels_map.GetRef(test_var_name);
+
+      for (auto & td_blf_kernel : td_blf_kernels)
+      {
+        td_blf->AddDomainIntegrator(td_blf_kernel->createIntegrator());
+      }
+    }
+
+    // Recover and scale integrators from blf. This is to apply the dt*du/dt contributions from the
+    // operator on the trial variable in the implicit integration scheme
+    auto blf = _blfs.Get(test_var_name);
+    auto integs = blf->GetDBFI();
+    auto b_integs = blf->GetBBFI();
+    auto markers = blf->GetBBFI_Marker();
+
+    mfem::SumIntegrator * sum = new mfem::SumIntegrator;
+    ScaleIntegrator * scaled_sum = new ScaleIntegrator(sum, _dt_coef.constant, false);
+
+    for (int i = 0; i < integs->Size(); ++i)
+    {
+      sum->AddIntegrator(*integs[i]);
+    }
+
+    for (int i = 0; i < b_integs->Size(); ++i)
+    {
+      td_blf->AddBoundaryIntegrator(new ScaleIntegrator(*b_integs[i], _dt_coef.constant, false),
+                                    *(*markers[i]));
+    }
+
+    // scaled_sum is owned by td_blf
+    td_blf->AddDomainIntegrator(scaled_sum);
+
+    // Assemble form
+    td_blf->Assemble();
+  }
+}
+
+void
+TimeDependentEquationSystem::FormLegacySystem(mfem::OperatorHandle & op,
+                                              mfem::BlockVector & truedXdt,
+                                              mfem::BlockVector & trueRHS)
+{
+
+  // Allocate block operator
+  _h_blocks.DeleteAll();
+  _h_blocks.SetSize(_test_var_names.size(), _test_var_names.size());
+  // Form diagonal blocks.
+  for (const auto i : index_range(_test_var_names))
+  {
+    auto & test_var_name = _test_var_names.at(i);
+    auto td_blf = _td_blfs.Get(test_var_name);
+    auto blf = _blfs.Get(test_var_name);
+    auto lf = _lfs.Get(test_var_name);
+    // if implicit, add contribution to linear form from terms involving state
+    // variable at previous timestep: {
+    blf->AddMult(*_trial_variables.Get(test_var_name), *lf, -1.0);
+    // }
+    mfem::Vector aux_x, aux_rhs;
+    // Update solution values on Dirichlet values to be in terms of du/dt instead of u
+    mfem::Vector bc_x = *(_xs.at(i).get());
+    bc_x -= *_trial_variables.Get(test_var_name);
+    bc_x /= _dt_coef.constant;
+
+    // Form linear system for operator acting on vector of du/dt
+    mfem::HypreParMatrix * aux_a = new mfem::HypreParMatrix;
+    // Ownership of aux_a goes to the blf
+    td_blf->FormLinearSystem(_ess_tdof_lists.at(i), bc_x, *lf, *aux_a, aux_x, aux_rhs);
+    _h_blocks(i, i) = aux_a;
+    truedXdt.GetBlock(i) = aux_x;
+    trueRHS.GetBlock(i) = aux_rhs;
+  }
+
+  truedXdt.SyncFromBlocks();
+  trueRHS.SyncFromBlocks();
+
+  // Create monolithic matrix
+  op.Reset(mfem::HypreParMatrixFromBlocks(_h_blocks));
+}
+
+void
+TimeDependentEquationSystem::FormSystem(mfem::OperatorHandle & op,
+                                        mfem::BlockVector & truedXdt,
+                                        mfem::BlockVector & trueRHS)
+{
+  auto & test_var_name = _test_var_names.at(0);
+  auto td_blf = _td_blfs.Get(test_var_name);
+  auto blf = _blfs.Get(test_var_name);
+  auto lf = _lfs.Get(test_var_name);
+  // if implicit, add contribution to linear form from terms involving state
+  // variable at previous timestep: {
+
+  // The AddMult method in mfem::BilinearForm is not defined for non-legacy assembly
+  mfem::Vector lf_prev(lf->Size());
+  blf->Mult(*_trial_variables.Get(test_var_name), lf_prev);
+  *lf -= lf_prev;
+  // }
+  mfem::Vector aux_x, aux_rhs;
+  // Update solution values on Dirichlet values to be in terms of du/dt instead of u
+  mfem::Vector bc_x = *(_xs.at(0).get());
+  bc_x -= *_trial_variables.Get(test_var_name);
+  bc_x /= _dt_coef.constant;
+
+  // Form linear system for operator acting on vector of du/dt
+  mfem::OperatorPtr * aux_a = new mfem::OperatorPtr;
+  // Ownership of aux_a goes to the blf
+  td_blf->FormLinearSystem(_ess_tdof_lists.at(0), bc_x, *lf, *aux_a, aux_x, aux_rhs);
+
+  truedXdt.GetBlock(0) = aux_x;
+  trueRHS.GetBlock(0) = aux_rhs;
+  truedXdt.SyncFromBlocks();
+  trueRHS.SyncFromBlocks();
+
+  // Create monolithic matrix
+  op.Reset(aux_a->Ptr());
+}
+
+void
+TimeDependentEquationSystem::UpdateEquationSystem(platypus::BCMap & bc_map)
+{
+  BuildBilinearForms(bc_map);
+  BuildMixedBilinearForms();
+  BuildLinearForms(bc_map);
+}
+
+} // namespace platypus
+
+#endif
diff --git a/framework/src/mfem/executioners/MFEMExecutioner.C b/framework/src/mfem/executioners/MFEMExecutioner.C
new file mode 100644
index 000000000000..c32eb9de46f2
--- /dev/null
+++ b/framework/src/mfem/executioners/MFEMExecutioner.C
@@ -0,0 +1,36 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMExecutioner.h"
+#include "MFEMProblem.h"
+
+InputParameters
+MFEMExecutioner::validParams()
+{
+  InputParameters params = Executioner::validParams();
+  params.addClassDescription("Executioner for MFEM problems.");
+  params.addParam<std::string>("device", "cpu", "Run app on the chosen device.");
+  MooseEnum assembly_levels("legacy full element partial none", "legacy", true);
+  params.addParam<MooseEnum>(
+      "assembly_level",
+      assembly_levels,
+      "Matrix assembly level. Options: legacy, full, element, partial, none.");
+
+  return params;
+}
+
+MFEMExecutioner::MFEMExecutioner(const InputParameters & parameters)
+  : Executioner(parameters),
+    _mfem_problem(dynamic_cast<MFEMProblem &>(feProblem())),
+    _problem_data(_mfem_problem.getProblemData())
+{
+  setDevice();
+}
+
+void
+MFEMExecutioner::setDevice()
+{
+  _device.Configure(getParam<std::string>("device"));
+  _device.Print(Moose::out);
+}
+
+#endif
diff --git a/framework/src/mfem/executioners/MFEMSteady.C b/framework/src/mfem/executioners/MFEMSteady.C
new file mode 100644
index 000000000000..e857d5e21882
--- /dev/null
+++ b/framework/src/mfem/executioners/MFEMSteady.C
@@ -0,0 +1,104 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMSteady.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMSteady);
+
+InputParameters
+MFEMSteady::validParams()
+{
+  InputParameters params = MFEMExecutioner::validParams();
+  params.addClassDescription("Executioner for steady state MFEM problems.");
+  params.addParam<Real>("time", 0.0, "System time");
+  return params;
+}
+
+MFEMSteady::MFEMSteady(const InputParameters & params)
+  : MFEMExecutioner(params),
+    _system_time(getParam<Real>("time")),
+    _time_step(_mfem_problem.timeStep()),
+    _time(_mfem_problem.time()),
+    _output_iteration_number(0)
+{
+  _time = _system_time;
+}
+
+void
+MFEMSteady::constructProblemOperator()
+{
+  _problem_data._eqn_system = std::make_shared<platypus::EquationSystem>();
+  auto problem_operator = std::make_unique<platypus::EquationSystemProblemOperator>(_problem_data);
+
+  _problem_operator.reset();
+  _problem_operator = std::move(problem_operator);
+}
+
+void
+MFEMSteady::init()
+{
+  _mfem_problem.execute(EXEC_PRE_MULTIAPP_SETUP);
+  _mfem_problem.initialSetup();
+
+  // Set up initial conditions
+  _problem_data._eqn_system->Init(
+      _problem_data._gridfunctions,
+      _problem_data._fespaces,
+      _problem_data._bc_map,
+      getParam<MooseEnum>("assembly_level").getEnum<mfem::AssemblyLevel>());
+
+  _problem_operator->SetGridFunctions();
+  _problem_operator->Init(_problem_data._f);
+}
+
+void
+MFEMSteady::execute()
+{
+  if (_app.isRecovering())
+  {
+    _console << "\nCannot recover steady solves!\nExiting...\n" << std::endl;
+    return;
+  }
+
+  _time_step = 0;
+  _time = _time_step;
+  _mfem_problem.outputStep(EXEC_INITIAL);
+  _time = _system_time;
+
+  preExecute();
+
+  _mfem_problem.advanceState();
+
+  // first step in any steady state solve is always 1 (preserving backwards compatibility)
+  _time_step = 1;
+  _mfem_problem.timestepSetup();
+
+  // Solve equation system.
+  _problem_operator->Solve(_problem_data._f);
+
+  // Displace mesh, if required
+  _mfem_problem.displaceMesh();
+
+  _mfem_problem.computeIndicators();
+  _mfem_problem.computeMarkers();
+
+  // need to keep _time in sync with _time_step to get correct output
+  _time = _time_step;
+  _mfem_problem.outputStep(EXEC_TIMESTEP_END);
+  _time = _system_time;
+
+  {
+    TIME_SECTION("final", 1, "Executing Final Objects")
+    _mfem_problem.execMultiApps(EXEC_FINAL);
+    _mfem_problem.finalizeMultiApps();
+    _mfem_problem.postExecute();
+    _mfem_problem.execute(EXEC_FINAL);
+    _time = _time_step;
+    _mfem_problem.outputStep(EXEC_FINAL);
+    _time = _system_time;
+  }
+
+  postExecute();
+}
+
+#endif
diff --git a/framework/src/mfem/executioners/MFEMTransient.C b/framework/src/mfem/executioners/MFEMTransient.C
new file mode 100644
index 000000000000..4323377299b3
--- /dev/null
+++ b/framework/src/mfem/executioners/MFEMTransient.C
@@ -0,0 +1,119 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMTransient.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMTransient);
+
+InputParameters
+MFEMTransient::validParams()
+{
+  InputParameters params = MFEMExecutioner::validParams();
+  params.addClassDescription("Executioner for transient MFEM problems.");
+  params.addParam<Real>("start_time", 0.0, "The start time of the simulation");
+  params.addParam<Real>("end_time", 1.0e30, "The end time of the simulation");
+  params.addParam<Real>("dt", 1., "The timestep size between solves");
+  params.addParam<unsigned int>(
+      "visualisation_steps", 1, "The number of timesteps in a transient run");
+  return params;
+}
+
+MFEMTransient::MFEMTransient(const InputParameters & params)
+  : MFEMExecutioner(params),
+    _t_step(getParam<Real>("dt")),
+    _t_initial(getParam<Real>("start_time")),
+    _t_final(getParam<Real>("end_time")),
+    _t(_mfem_problem.time()),
+    _it(0),
+    _vis_steps(params.get<unsigned int>("visualisation_steps")),
+    _last_step(false)
+{
+  _app.setStartTime(_t_initial);
+  _t = _t_initial;
+  _mfem_problem.transient(true);
+}
+
+void
+MFEMTransient::constructProblemOperator()
+{
+  _problem_data._eqn_system = std::make_shared<platypus::TimeDependentEquationSystem>();
+  auto problem_operator =
+      std::make_unique<platypus::TimeDomainEquationSystemProblemOperator>(_problem_data);
+  _problem_operator.reset();
+  _problem_operator = std::move(problem_operator);
+}
+
+void
+MFEMTransient::step(double dt, int) const
+{
+  // Check if current time step is final
+  if (_t + dt >= _t_final - dt / 2)
+  {
+    _last_step = true;
+  }
+
+  // Advance time step.
+  _problem_data._ode_solver->Step(_problem_data._f, _t, dt);
+
+  // Synchonise time dependent GridFunctions with updated DoF data.
+  _problem_operator->SetTestVariablesFromTrueVectors();
+
+  // Sync Host/Device
+  _problem_data._f.HostRead();
+
+  // Perform the output of the current time step
+  _mfem_problem.outputStep(EXEC_TIMESTEP_END);
+}
+
+void
+MFEMTransient::init()
+{
+  _mfem_problem.execute(EXEC_PRE_MULTIAPP_SETUP);
+  _mfem_problem.initialSetup();
+
+  // Set up initial conditions
+  _problem_data._eqn_system->Init(
+      _problem_data._gridfunctions,
+      _problem_data._fespaces,
+      _problem_data._bc_map,
+      getParam<MooseEnum>("assembly_level").getEnum<mfem::AssemblyLevel>());
+
+  _problem_operator->SetGridFunctions();
+  _problem_operator->Init(_problem_data._f);
+
+  // Set timestepper
+  _problem_data._ode_solver = std::make_unique<mfem::BackwardEulerSolver>();
+  _problem_data._ode_solver->Init(*(_problem_operator));
+  _problem_operator->SetTime(0.0);
+}
+
+void
+MFEMTransient::execute()
+{
+  _mfem_problem.outputStep(EXEC_INITIAL);
+  preExecute();
+
+  while (_last_step != true)
+  {
+    _it++;
+    step(_t_step, _it);
+  }
+
+  _mfem_problem.finishMultiAppStep(EXEC_MULTIAPP_FIXED_POINT_BEGIN,
+                                   /*recurse_through_multiapp_levels=*/true);
+  _mfem_problem.finishMultiAppStep(EXEC_TIMESTEP_BEGIN, /*recurse_through_multiapp_levels=*/true);
+  _mfem_problem.finishMultiAppStep(EXEC_TIMESTEP_END, /*recurse_through_multiapp_levels=*/true);
+  _mfem_problem.finishMultiAppStep(EXEC_MULTIAPP_FIXED_POINT_END,
+                                   /*recurse_through_multiapp_levels=*/true);
+
+  TIME_SECTION("final", 1, "Executing Final Objects");
+  _mfem_problem.execMultiApps(EXEC_FINAL);
+  _mfem_problem.finalizeMultiApps();
+  _mfem_problem.execute(EXEC_FINAL);
+  _mfem_problem.outputStep(EXEC_FINAL);
+  _mfem_problem.postExecute();
+
+  postExecute();
+}
+
+#endif
diff --git a/framework/src/mfem/fespaces/MFEMFECollection.C b/framework/src/mfem/fespaces/MFEMFECollection.C
new file mode 100644
index 000000000000..a95191db9130
--- /dev/null
+++ b/framework/src/mfem/fespaces/MFEMFECollection.C
@@ -0,0 +1,52 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMFECollection.h"
+
+registerMooseObject("MooseApp", MFEMFECollection);
+
+InputParameters
+MFEMFECollection::validParams()
+{
+  InputParameters params = MFEMGeneralUserObject::validParams();
+  params.registerBase("MFEMFECollection");
+  params.addClassDescription(
+      "Specifies a collection of shape functions which (along with a mesh) define a "
+      "finite element space for MFEM variables.");
+  MooseEnum fec_order(
+      "CONSTANT FIRST SECOND THIRD FOURTH FIFTH SIXTH SEVENTH EIGHTH NINTH TENTH ELEVENTH TWELFTH"
+      "THIRTEENTH FOURTEENTH FIFTEENTH SIXTEENTH SEVENTEENTH EIGHTTEENTH NINETEENTH TWENTIETH "
+      "TWENTYFIRST TWENTYSECOND TWENTYTHIRD TWENTYFOURTH TWENTYFIFTH TWENTYSIXTH TWENTYSEVENTH "
+      "TWENTYEIGHTH TWENTYNINTH THIRTIETH THIRTYFIRST THIRTYSECOND THIRTYTHIRD THIRTYFOURTH "
+      "THIRTYFIFTH THIRTYSIXTH THIRTYSEVENTH THIRTYEIGHTH THIRTYNINTH FORTIETH FORTYFIRST"
+      "FORTYSECOND FORTYTHIRD",
+      "FIRST",
+      true);
+  params.addParam<MooseEnum>("fec_order", fec_order, "Order of the FE shape function to use.");
+  MooseEnum fec_types("H1 ND RT L2", "H1", true);
+  params.addParam<MooseEnum>("fec_type", fec_types, "Specifies the family of FE shape functions.");
+  return params;
+}
+
+MFEMFECollection::MFEMFECollection(const InputParameters & parameters)
+  : MFEMGeneralUserObject(parameters),
+    _fec_order(parameters.get<MooseEnum>("fec_order")),
+    _fec_type(parameters.get<MooseEnum>("fec_type")),
+    _fec_name(buildFECName()),
+    _fec(buildFEC())
+{
+}
+
+const std::string
+MFEMFECollection::buildFECName()
+{
+  return _fec_type + "_3D_P" + std::to_string(_fec_order);
+}
+
+const std::shared_ptr<mfem::FiniteElementCollection>
+MFEMFECollection::buildFEC()
+{
+  auto * fec_ptr = mfem::FiniteElementCollection::New(_fec_name.c_str());
+  return std::shared_ptr<mfem::FiniteElementCollection>(fec_ptr);
+}
+
+#endif
diff --git a/framework/src/mfem/fespaces/MFEMFESpace.C b/framework/src/mfem/fespaces/MFEMFESpace.C
new file mode 100644
index 000000000000..7524ca2c9fac
--- /dev/null
+++ b/framework/src/mfem/fespaces/MFEMFESpace.C
@@ -0,0 +1,40 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMFESpace.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMFESpace);
+
+InputParameters
+MFEMFESpace::validParams()
+{
+  InputParameters params = MFEMGeneralUserObject::validParams();
+  params.registerBase("MFEMFESpace");
+  params.addClassDescription("Specifies a finite element space for `MFEMVariable`s to be defined "
+                             "with respect to.");
+  params.addParam<int>("vdim", 1, "Dimension of degrees of freedom");
+  MooseEnum ordering("NODES VDIM", "VDIM", false);
+  params.addParam<MooseEnum>("ordering", ordering, "Ordering style to use for vector DoFs.");
+  params += MFEMFECollection::validParams();
+  return params;
+}
+
+MFEMFESpace::MFEMFESpace(const InputParameters & parameters)
+  : MFEMGeneralUserObject(parameters),
+    _vdim(parameters.get<int>("vdim")),
+    _ordering(parameters.get<MooseEnum>("ordering")),
+    _fec(parameters),
+    _fespace(buildFESpace())
+{
+}
+
+const std::shared_ptr<mfem::ParFiniteElementSpace>
+MFEMFESpace::buildFESpace()
+{
+  mfem::ParMesh & pmesh = getMFEMProblem().mesh().getMFEMParMesh();
+  mfem::FiniteElementCollection & fec = *_fec.getFEC();
+
+  return std::make_shared<mfem::ParFiniteElementSpace>(&pmesh, &fec, _vdim, _ordering);
+}
+
+#endif
diff --git a/framework/src/mfem/ics/MFEMScalarIC.C b/framework/src/mfem/ics/MFEMScalarIC.C
new file mode 100644
index 000000000000..4b94f82ababe
--- /dev/null
+++ b/framework/src/mfem/ics/MFEMScalarIC.C
@@ -0,0 +1,37 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMScalarIC.h"
+#include "MFEMProblem.h"
+#include <libmesh/libmesh_common.h>
+#include <mfem.hpp>
+
+registerMooseObject("MooseApp", MFEMScalarIC);
+
+InputParameters
+MFEMScalarIC::validParams()
+{
+  auto params = MFEMGeneralUserObject::validParams();
+  params.addRequiredParam<std::string>("variable",
+                                       "The variable to apply the initial condition for");
+  params.addRequiredParam<FunctionName>("coefficient", "The scalar coefficient");
+  params.registerBase("InitialCondition");
+  // We cannot generally execute this at construction time since the coefficient may be based on a
+  // MOOSE function which is not itself setup until its initialSetup is called. UserObject initial
+  // execution occurs after function initialSetup
+  params.set<ExecFlagEnum>("execute_on") = {EXEC_INITIAL};
+  params.suppressParameter<ExecFlagEnum>("execute_on");
+  return params;
+}
+
+MFEMScalarIC::MFEMScalarIC(const InputParameters & params) : MFEMGeneralUserObject(params) {}
+
+void
+MFEMScalarIC::execute()
+{
+  auto & coeff =
+      getMFEMProblem().getProperties().getScalarProperty(getParam<FunctionName>("coefficient"));
+  auto grid_function = getMFEMProblem().getGridFunction(getParam<std::string>("variable"));
+  grid_function->ProjectCoefficient(coeff);
+}
+
+#endif
diff --git a/framework/src/mfem/integrators/ScaleIntegrator.C b/framework/src/mfem/integrators/ScaleIntegrator.C
new file mode 100644
index 000000000000..22a374090571
--- /dev/null
+++ b/framework/src/mfem/integrators/ScaleIntegrator.C
@@ -0,0 +1,123 @@
+#ifdef MFEM_ENABLED
+
+#include "ScaleIntegrator.h"
+
+namespace platypus
+{
+
+void
+ScaleIntegrator::SetIntRule(const mfem::IntegrationRule * ir)
+{
+  IntRule = ir;
+  _integrator->SetIntRule(ir);
+}
+
+void
+ScaleIntegrator::AssembleElementMatrix(const mfem::FiniteElement & el,
+                                       mfem::ElementTransformation & Trans,
+                                       mfem::DenseMatrix & elmat)
+{
+  CheckIntegrator();
+  _integrator->AssembleElementMatrix(el, Trans, elmat);
+  elmat *= _scale;
+}
+
+void
+ScaleIntegrator::AssembleElementMatrix2(const mfem::FiniteElement & el1,
+                                        const mfem::FiniteElement & el2,
+                                        mfem::ElementTransformation & Trans,
+                                        mfem::DenseMatrix & elmat)
+{
+  CheckIntegrator();
+  _integrator->AssembleElementMatrix2(el1, el2, Trans, elmat);
+  elmat *= _scale;
+}
+
+void
+ScaleIntegrator::AssembleFaceMatrix(const mfem::FiniteElement & el1,
+                                    const mfem::FiniteElement & el2,
+                                    mfem::FaceElementTransformations & Trans,
+                                    mfem::DenseMatrix & elmat)
+{
+  CheckIntegrator();
+  _integrator->AssembleFaceMatrix(el1, el2, Trans, elmat);
+  elmat *= _scale;
+}
+
+void
+ScaleIntegrator::AssemblePA(const mfem::FiniteElementSpace & fes)
+{
+  CheckIntegrator();
+  _integrator->AssemblePA(fes);
+}
+
+void
+ScaleIntegrator::AssembleDiagonalPA(mfem::Vector & diag)
+{
+  _integrator->AssembleDiagonalPA(diag);
+  diag *= _scale;
+}
+
+void
+ScaleIntegrator::AssemblePAInteriorFaces(const mfem::FiniteElementSpace & fes)
+{
+  _integrator->AssemblePAInteriorFaces(fes);
+}
+
+void
+ScaleIntegrator::AssemblePABoundaryFaces(const mfem::FiniteElementSpace & fes)
+{
+  _integrator->AssemblePABoundaryFaces(fes);
+}
+
+void
+ScaleIntegrator::AddMultPA(const mfem::Vector & x, mfem::Vector & y) const
+{
+  // y += Mx*scale
+  mfem::Vector Mx(y.Size());
+  Mx = 0.0;
+  _integrator->AddMultPA(x, Mx);
+  Mx *= _scale;
+  y += Mx;
+}
+
+void
+ScaleIntegrator::AddMultTransposePA(const mfem::Vector & x, mfem::Vector & y) const
+{
+  // y += M^T x*scale
+  mfem::Vector MTx(y.Size());
+  MTx = 0.0;
+  _integrator->AddMultTransposePA(x, MTx);
+  MTx *= _scale;
+  y += MTx;
+}
+
+void
+ScaleIntegrator::AssembleEA(const mfem::FiniteElementSpace & fes,
+                            mfem::Vector & emat,
+                            const bool add)
+{
+  CheckIntegrator();
+  if (add)
+  {
+    mfem::Vector emat_scale(emat.Size());
+    _integrator->AssembleEA(fes, emat_scale, false);
+    emat_scale *= _scale;
+    emat += emat_scale;
+  }
+  else
+  {
+    _integrator->AssembleEA(fes, emat, add);
+    emat *= _scale;
+  }
+}
+
+ScaleIntegrator::~ScaleIntegrator()
+{
+  if (_own_integrator)
+    delete _integrator;
+}
+
+} // namespace platypus
+
+#endif
diff --git a/framework/src/mfem/kernels/MFEMCurlCurlKernel.C b/framework/src/mfem/kernels/MFEMCurlCurlKernel.C
new file mode 100644
index 000000000000..d7b7b2478b70
--- /dev/null
+++ b/framework/src/mfem/kernels/MFEMCurlCurlKernel.C
@@ -0,0 +1,37 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMCurlCurlKernel.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMCurlCurlKernel);
+
+InputParameters
+MFEMCurlCurlKernel::validParams()
+{
+  InputParameters params = MFEMKernel::validParams();
+  params.addClassDescription(
+      "Adds the domain integrator to an MFEM problem for the bilinear form "
+      "$(k\\vec\\nabla \\times \\vec u, \\vec\\nabla \\times \\vec v)_\\Omega$ "
+      "arising from the weak form of the curl curl operator "
+      "$-k\\vec\\nabla \\times \\vec\\nabla \\times \\vec u$.");
+  params.addParam<platypus::MFEMScalarCoefficientName>(
+      "coefficient", "Name of scalar coefficient k to multiply the integrator by.");
+  return params;
+}
+
+MFEMCurlCurlKernel::MFEMCurlCurlKernel(const InputParameters & parameters)
+  : MFEMKernel(parameters),
+    _coef_name(getParam<platypus::MFEMScalarCoefficientName>("coefficient")),
+    // FIXME: The MFEM bilinear form can also handle vector and matrix
+    // coefficients, so ideally we'd handle all three too.
+    _coef(getScalarProperty(_coef_name))
+{
+}
+
+mfem::BilinearFormIntegrator *
+MFEMCurlCurlKernel::createIntegrator()
+{
+  return new mfem::CurlCurlIntegrator(_coef);
+}
+
+#endif
diff --git a/framework/src/mfem/kernels/MFEMDiffusionKernel.C b/framework/src/mfem/kernels/MFEMDiffusionKernel.C
new file mode 100644
index 000000000000..5528b54afdf1
--- /dev/null
+++ b/framework/src/mfem/kernels/MFEMDiffusionKernel.C
@@ -0,0 +1,36 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMDiffusionKernel.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMDiffusionKernel);
+
+InputParameters
+MFEMDiffusionKernel::validParams()
+{
+  InputParameters params = MFEMKernel::validParams();
+  params.addClassDescription("Adds the domain integrator to an MFEM problem for the bilinear form "
+                             "$(k\\vec\\nabla u, \\vec\\nabla v)_\\Omega$ "
+                             "arising from the weak form of the Laplacian operator "
+                             "$- \\vec\\nabla \\cdot \\left( k \\vec \\nabla u \\right)$.");
+  params.addParam<platypus::MFEMScalarCoefficientName>(
+      "coefficient", "Name of property for diffusion coefficient k.");
+  return params;
+}
+
+MFEMDiffusionKernel::MFEMDiffusionKernel(const InputParameters & parameters)
+  : MFEMKernel(parameters),
+    _coef_name(getParam<platypus::MFEMScalarCoefficientName>("coefficient")),
+    // FIXME: The MFEM bilinear form can also handle vector and matrix
+    // coefficients, so ideally we'd handle all three too.
+    _coef(getScalarProperty(_coef_name))
+{
+}
+
+mfem::BilinearFormIntegrator *
+MFEMDiffusionKernel::createIntegrator()
+{
+  return new mfem::DiffusionIntegrator(_coef);
+}
+
+#endif
diff --git a/framework/src/mfem/kernels/MFEMDivDivKernel.C b/framework/src/mfem/kernels/MFEMDivDivKernel.C
new file mode 100644
index 000000000000..64d95e466040
--- /dev/null
+++ b/framework/src/mfem/kernels/MFEMDivDivKernel.C
@@ -0,0 +1,39 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMDivDivKernel.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMDivDivKernel);
+
+InputParameters
+MFEMDivDivKernel::validParams()
+{
+  InputParameters params = MFEMKernel::validParams();
+  params.addClassDescription(
+      "Adds the domain integrator to an MFEM problem for the bilinear form "
+      "$(k\\vec\\nabla \\cdot \\vec u, \\vec\\nabla \\cdot \\vec v)_\\Omega$ "
+      "arising from the weak form of the grad-div operator "
+      "$-\\vec\\nabla \\left( k \\vec\\nabla \\cdot \\vec u \\right)$.");
+
+  params.addParam<platypus::MFEMScalarCoefficientName>(
+      "coefficient", "Name of property k to multiply the Laplacian by");
+
+  return params;
+}
+
+MFEMDivDivKernel::MFEMDivDivKernel(const InputParameters & parameters)
+  : MFEMKernel(parameters),
+    _coef_name(getParam<platypus::MFEMScalarCoefficientName>("coefficient")),
+    // FIXME: The MFEM bilinear form can also handle vector and matrix
+    // coefficients, so ideally we'd handle all three too.
+    _coef(getScalarProperty(_coef_name))
+{
+}
+
+mfem::BilinearFormIntegrator *
+MFEMDivDivKernel::createIntegrator()
+{
+  return new mfem::DivDivIntegrator(_coef);
+}
+
+#endif
diff --git a/framework/src/mfem/kernels/MFEMLinearElasticityKernel.C b/framework/src/mfem/kernels/MFEMLinearElasticityKernel.C
new file mode 100644
index 000000000000..e209e033e056
--- /dev/null
+++ b/framework/src/mfem/kernels/MFEMLinearElasticityKernel.C
@@ -0,0 +1,45 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMLinearElasticityKernel.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMLinearElasticityKernel);
+
+InputParameters
+MFEMLinearElasticityKernel::validParams()
+{
+  InputParameters params = MFEMKernel::validParams();
+  params.addClassDescription(
+      "The isotropic linear elasticity operator with weak form "
+      "$(c_{ikjl} \\nabla u_j, \\nabla v_i)$, to be added to an MFEM problem, where "
+      "$c_{ikjl}$ is the isotropic elasticity tensor, "
+      "$c_{ikjl} = \\lambda \\delta_{ik} \\delta_{jl} + \\mu \\left( \\delta_{ij} \\delta_{kl} + "
+      "\\delta_{il} \\delta_{jk} \\right)$, "
+      "$\\lambda$ is the first Lame parameter, $\\lambda = \\frac{E\\nu}{(1-2\\nu)(1+\\nu)}$, "
+      "$\\mu$ is the second Lame parameter, $\\mu = \\frac{E}{2(1+\\nu)}$, "
+      "where $E$ is Young's modulus and $\\nu$ is Poisson's ratio.");
+
+  params.addParam<platypus::MFEMScalarCoefficientName>(
+      "lambda", "Name of MFEM Lame constant lambda to multiply the div(u)*I term by");
+  params.addParam<platypus::MFEMScalarCoefficientName>(
+      "mu", "Name of MFEM Lame constant mu to multiply the gradients term by");
+
+  return params;
+}
+
+MFEMLinearElasticityKernel::MFEMLinearElasticityKernel(const InputParameters & parameters)
+  : MFEMKernel(parameters),
+    _lambda_name(getParam<platypus::MFEMScalarCoefficientName>("lambda")),
+    _mu_name(getParam<platypus::MFEMScalarCoefficientName>("mu")),
+    _lambda(getScalarProperty(_lambda_name)),
+    _mu(getScalarProperty(_mu_name))
+{
+}
+
+mfem::BilinearFormIntegrator *
+MFEMLinearElasticityKernel::createIntegrator()
+{
+  return new mfem::ElasticityIntegrator(_lambda, _mu);
+}
+
+#endif
diff --git a/framework/src/mfem/kernels/MFEMMassKernel.C b/framework/src/mfem/kernels/MFEMMassKernel.C
new file mode 100644
index 000000000000..5d6de768fecd
--- /dev/null
+++ b/framework/src/mfem/kernels/MFEMMassKernel.C
@@ -0,0 +1,34 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMMassKernel.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMMassKernel);
+
+InputParameters
+MFEMMassKernel::validParams()
+{
+  InputParameters params = MFEMKernel::validParams();
+  params.addClassDescription("Adds the domain integrator to an MFEM problem for the bilinear form "
+                             "$(k u, v)_\\Omega$ "
+                             "arising from the weak form of the mass operator "
+                             "$ku$.");
+  params.addParam<platypus::MFEMScalarCoefficientName>(
+      "coefficient", "Name of property for the mass coefficient k.");
+  return params;
+}
+
+MFEMMassKernel::MFEMMassKernel(const InputParameters & parameters)
+  : MFEMKernel(parameters),
+    _coef_name(getParam<platypus::MFEMScalarCoefficientName>("coefficient")),
+    _coef(getScalarProperty(_coef_name))
+{
+}
+
+mfem::BilinearFormIntegrator *
+MFEMMassKernel::createIntegrator()
+{
+  return new mfem::MassIntegrator(_coef);
+}
+
+#endif
diff --git a/framework/src/mfem/kernels/MFEMMixedVectorGradientKernel.C b/framework/src/mfem/kernels/MFEMMixedVectorGradientKernel.C
new file mode 100644
index 000000000000..404c4637b248
--- /dev/null
+++ b/framework/src/mfem/kernels/MFEMMixedVectorGradientKernel.C
@@ -0,0 +1,36 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMMixedVectorGradientKernel.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMMixedVectorGradientKernel);
+
+InputParameters
+MFEMMixedVectorGradientKernel::validParams()
+{
+  InputParameters params = MFEMKernel::validParams();
+  params.addClassDescription(
+      "Adds the domain integrator to an MFEM problem for the mixed bilinear form "
+      "$(k\\vec\\nabla u, \\vec v)_\\Omega$ "
+      "arising from the weak form of the gradient operator "
+      "$k\\vec \\nabla u$.");
+  params.addParam<platypus::MFEMScalarCoefficientName>("coefficient", "Name of property k to use.");
+  return params;
+}
+
+MFEMMixedVectorGradientKernel::MFEMMixedVectorGradientKernel(const InputParameters & parameters)
+  : MFEMKernel(parameters),
+    _coef_name(getParam<platypus::MFEMScalarCoefficientName>("coefficient")),
+    // FIXME: The MFEM bilinear form can also handle vector and matrix
+    // coefficients, so ideally we'd handle all three too.
+    _coef(getScalarProperty(_coef_name))
+{
+}
+
+mfem::BilinearFormIntegrator *
+MFEMMixedVectorGradientKernel::createIntegrator()
+{
+  return new mfem::MixedVectorGradientIntegrator(_coef);
+}
+
+#endif
diff --git a/framework/src/mfem/kernels/MFEMTimeDerivativeMassKernel.C b/framework/src/mfem/kernels/MFEMTimeDerivativeMassKernel.C
new file mode 100644
index 000000000000..c4da5e0cd284
--- /dev/null
+++ b/framework/src/mfem/kernels/MFEMTimeDerivativeMassKernel.C
@@ -0,0 +1,23 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMTimeDerivativeMassKernel.h"
+
+registerMooseObject("MooseApp", MFEMTimeDerivativeMassKernel);
+
+InputParameters
+MFEMTimeDerivativeMassKernel::validParams()
+{
+  InputParameters params = MFEMMassKernel::validParams();
+  params.addClassDescription("Adds the domain integrator to an MFEM problem for the bilinear form "
+                             "$(k \\dot{u}, v)_\\Omega$ "
+                             "arising from the weak form of the operator "
+                             "$k \\dot{u}$.");
+  return params;
+}
+
+MFEMTimeDerivativeMassKernel::MFEMTimeDerivativeMassKernel(const InputParameters & parameters)
+  : MFEMMassKernel(parameters), _var_dot_name(platypus::GetTimeDerivativeName(_test_var_name))
+{
+}
+
+#endif
diff --git a/framework/src/mfem/kernels/MFEMVectorDomainLFKernel.C b/framework/src/mfem/kernels/MFEMVectorDomainLFKernel.C
new file mode 100644
index 000000000000..93723dcac226
--- /dev/null
+++ b/framework/src/mfem/kernels/MFEMVectorDomainLFKernel.C
@@ -0,0 +1,32 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVectorDomainLFKernel.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMVectorDomainLFKernel);
+
+InputParameters
+MFEMVectorDomainLFKernel::validParams()
+{
+  InputParameters params = MFEMKernel::validParams();
+  params.addClassDescription("Adds the domain integrator to an MFEM problem for the linear form "
+                             "$(\\vec f, \\vec v)_\\Omega$ "
+                             "arising from the weak form of the forcing term $\\vec f$.");
+  params.addParam<std::string>("vector_coefficient", "Name of body force density $\\vec f$.");
+  return params;
+}
+
+MFEMVectorDomainLFKernel::MFEMVectorDomainLFKernel(const InputParameters & parameters)
+  : MFEMKernel(parameters),
+    _vec_coef_name(getParam<std::string>("vector_coefficient")),
+    _vec_coef(getMFEMProblem().getProperties().getVectorProperty(_vec_coef_name))
+{
+}
+
+mfem::LinearFormIntegrator *
+MFEMVectorDomainLFKernel::createIntegrator()
+{
+  return new mfem::VectorDomainLFIntegrator(_vec_coef);
+}
+
+#endif
diff --git a/framework/src/mfem/kernels/MFEMVectorFEDomainLFKernel.C b/framework/src/mfem/kernels/MFEMVectorFEDomainLFKernel.C
new file mode 100644
index 000000000000..bf5cd1edef15
--- /dev/null
+++ b/framework/src/mfem/kernels/MFEMVectorFEDomainLFKernel.C
@@ -0,0 +1,34 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVectorFEDomainLFKernel.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMVectorFEDomainLFKernel);
+
+InputParameters
+MFEMVectorFEDomainLFKernel::validParams()
+{
+  InputParameters params = MFEMKernel::validParams();
+  params.addClassDescription("Adds the domain integrator to an MFEM problem for the linear form "
+                             "$(\\vec f, \\vec v)_\\Omega$ "
+                             "arising from the weak form of the forcing term $\\vec f$.");
+  params.addParam<platypus::MFEMVectorCoefficientName>(
+      "vector_coefficient", 0, "The name of the vector coefficient f");
+
+  return params;
+}
+
+MFEMVectorFEDomainLFKernel::MFEMVectorFEDomainLFKernel(const InputParameters & parameters)
+  : MFEMKernel(parameters),
+    _vec_coef_name(getParam<platypus::MFEMVectorCoefficientName>("vector_coefficient")),
+    _vec_coef(getVectorProperty(_vec_coef_name))
+{
+}
+
+mfem::LinearFormIntegrator *
+MFEMVectorFEDomainLFKernel::createIntegrator()
+{
+  return new mfem::VectorFEDomainLFIntegrator(_vec_coef);
+}
+
+#endif
diff --git a/framework/src/mfem/kernels/MFEMVectorFEMassKernel.C b/framework/src/mfem/kernels/MFEMVectorFEMassKernel.C
new file mode 100644
index 000000000000..cc8d9aa8b344
--- /dev/null
+++ b/framework/src/mfem/kernels/MFEMVectorFEMassKernel.C
@@ -0,0 +1,36 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVectorFEMassKernel.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMVectorFEMassKernel);
+
+InputParameters
+MFEMVectorFEMassKernel::validParams()
+{
+  InputParameters params = MFEMKernel::validParams();
+  params.addClassDescription("Adds the domain integrator to an MFEM problem for the bilinear form "
+                             "$(k \\vec u, \\vec v)_\\Omega$ "
+                             "arising from the weak form of the mass operator "
+                             "$k \\vec u$.");
+  params.addParam<platypus::MFEMScalarCoefficientName>(
+      "coefficient", "Name of property k to multiply the Laplacian by");
+  return params;
+}
+
+MFEMVectorFEMassKernel::MFEMVectorFEMassKernel(const InputParameters & parameters)
+  : MFEMKernel(parameters),
+    _coef_name(getParam<platypus::MFEMScalarCoefficientName>("coefficient")),
+    // FIXME: The MFEM bilinear form can also handle vector and matrix
+    // coefficients, so ideally we'd handle all three too.
+    _coef(getScalarProperty(_coef_name))
+{
+}
+
+mfem::BilinearFormIntegrator *
+MFEMVectorFEMassKernel::createIntegrator()
+{
+  return new mfem::VectorFEMassIntegrator(_coef);
+}
+
+#endif
diff --git a/framework/src/mfem/kernels/MFEMVectorFEWeakDivergenceKernel.C b/framework/src/mfem/kernels/MFEMVectorFEWeakDivergenceKernel.C
new file mode 100644
index 000000000000..bd97d52a2b44
--- /dev/null
+++ b/framework/src/mfem/kernels/MFEMVectorFEWeakDivergenceKernel.C
@@ -0,0 +1,35 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVectorFEWeakDivergenceKernel.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMVectorFEWeakDivergenceKernel);
+
+InputParameters
+MFEMVectorFEWeakDivergenceKernel::validParams()
+{
+  InputParameters params = MFEMKernel::validParams();
+  params.addClassDescription(
+      "Adds the domain integrator to an MFEM problem for the mixed bilinear form "
+      "$(-k\\vec u, \\vec\\nabla v)_\\Omega$ "
+      "arising from the weak form of the divergence operator "
+      "$\\vec \\nabla \\cdot (k\\vec u)$.");
+  params.addParam<platypus::MFEMScalarCoefficientName>("coefficient", "Name of property k to use.");
+  return params;
+}
+
+MFEMVectorFEWeakDivergenceKernel::MFEMVectorFEWeakDivergenceKernel(
+    const InputParameters & parameters)
+  : MFEMKernel(parameters),
+    _coef_name(getParam<platypus::MFEMScalarCoefficientName>("coefficient")),
+    _coef(getScalarProperty(_coef_name))
+{
+}
+
+mfem::BilinearFormIntegrator *
+MFEMVectorFEWeakDivergenceKernel::createIntegrator()
+{
+  return new mfem::VectorFEWeakDivergenceIntegrator(_coef);
+}
+
+#endif
diff --git a/framework/src/mfem/materials/MFEMGenericConstantMaterial.C b/framework/src/mfem/materials/MFEMGenericConstantMaterial.C
new file mode 100644
index 000000000000..caed4c4fe320
--- /dev/null
+++ b/framework/src/mfem/materials/MFEMGenericConstantMaterial.C
@@ -0,0 +1,44 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMGenericConstantMaterial.h"
+
+registerMooseObject("MooseApp", MFEMGenericConstantMaterial);
+
+InputParameters
+MFEMGenericConstantMaterial::validParams()
+{
+  InputParameters params = MFEMMaterial::validParams();
+  params.addClassDescription("Declares constant material properties based on names and values "
+                             "prescribed by input parameters.");
+  params.addRequiredParam<std::vector<std::string>>(
+      "prop_names", "The names of the properties this material will have");
+  params.addRequiredParam<std::vector<Real>>("prop_values",
+                                             "The values associated with the named properties");
+
+  params.declareControllable("prop_values");
+  return params;
+}
+
+MFEMGenericConstantMaterial::MFEMGenericConstantMaterial(const InputParameters & parameters)
+  : MFEMMaterial(parameters),
+    _prop_names(getParam<std::vector<std::string>>("prop_names")),
+    _prop_values(getParam<std::vector<Real>>("prop_values"))
+{
+  unsigned int num_names = _prop_names.size();
+  unsigned int num_values = _prop_values.size();
+
+  if (num_names != num_values)
+    mooseError(
+        "Number of prop_names must match the number of prop_values for a GenericConstantMaterial!");
+
+  _num_props = num_names;
+  for (unsigned int i = 0; i < _num_props; i++)
+  {
+    _properties.declareScalar<mfem::ConstantCoefficient>(
+        _prop_names[i], subdomainsToStrings(_block_ids), _prop_values[i]);
+  }
+}
+
+MFEMGenericConstantMaterial::~MFEMGenericConstantMaterial() {}
+
+#endif
diff --git a/framework/src/mfem/materials/MFEMGenericConstantVectorMaterial.C b/framework/src/mfem/materials/MFEMGenericConstantVectorMaterial.C
new file mode 100644
index 000000000000..8b4eadd5a040
--- /dev/null
+++ b/framework/src/mfem/materials/MFEMGenericConstantVectorMaterial.C
@@ -0,0 +1,48 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMGenericConstantVectorMaterial.h"
+
+registerMooseObject("MooseApp", MFEMGenericConstantVectorMaterial);
+
+InputParameters
+MFEMGenericConstantVectorMaterial::validParams()
+{
+  InputParameters params = MFEMMaterial::validParams();
+  params.addClassDescription("Declares constant vector material properties based on names and "
+                             "values prescribed by input parameters.");
+  params.addRequiredParam<std::vector<std::string>>(
+      "prop_names", "The names of the properties this material will have");
+  params.addRequiredParam<std::vector<Real>>("prop_values",
+                                             "The values associated with the named properties");
+
+  params.declareControllable("prop_values");
+  return params;
+}
+
+MFEMGenericConstantVectorMaterial::MFEMGenericConstantVectorMaterial(
+    const InputParameters & parameters)
+  : MFEMMaterial(parameters),
+    _prop_names(getParam<std::vector<std::string>>("prop_names")),
+    _prop_values(getParam<std::vector<Real>>("prop_values"))
+{
+  unsigned int num_names = _prop_names.size();
+  unsigned int num_values = _prop_values.size();
+
+  if (num_names * LIBMESH_DIM != num_values)
+    mooseError("Number of prop_values must be equal to dim * number of prop_values for a "
+               "GenericConstantMaterial!");
+
+  _num_props = num_names;
+  for (unsigned int i = 0; i < _num_props; i++)
+  {
+    const int j = i * LIBMESH_DIM;
+    _properties.declareVector<mfem::VectorConstantCoefficient>(
+        _prop_names[i],
+        subdomainsToStrings(_block_ids),
+        mfem::Vector({_prop_values[j], _prop_values[j + 1], _prop_values[j + 2]}));
+  }
+}
+
+MFEMGenericConstantVectorMaterial::~MFEMGenericConstantVectorMaterial() {}
+
+#endif
diff --git a/framework/src/mfem/materials/MFEMGenericFunctionMaterial.C b/framework/src/mfem/materials/MFEMGenericFunctionMaterial.C
new file mode 100644
index 000000000000..7d5fdd7c47de
--- /dev/null
+++ b/framework/src/mfem/materials/MFEMGenericFunctionMaterial.C
@@ -0,0 +1,46 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMGenericFunctionMaterial.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMGenericFunctionMaterial);
+
+InputParameters
+MFEMGenericFunctionMaterial::validParams()
+{
+  InputParameters params = MFEMMaterial::validParams();
+  params.addClassDescription("Declares material scalar properties based on names and functions "
+                             "prescribed by input parameters.");
+  params.addRequiredParam<std::vector<std::string>>(
+      "prop_names", "The names of the properties this material will have");
+  params.addRequiredParam<std::vector<FunctionName>>(
+      "prop_values", "The corresponding names of functions associated with the named properties");
+
+  return params;
+}
+
+MFEMGenericFunctionMaterial::MFEMGenericFunctionMaterial(const InputParameters & parameters)
+  : MFEMMaterial(parameters),
+    _prop_names(getParam<std::vector<std::string>>("prop_names")),
+    _prop_values(getParam<std::vector<FunctionName>>("prop_values"))
+{
+  unsigned int num_names = _prop_names.size();
+  unsigned int num_values = _prop_values.size();
+
+  if (num_names != num_values)
+    mooseError(
+        "Number of prop_names must match the number of prop_values for a GenericConstantMaterial!");
+
+  _num_props = num_names;
+  for (unsigned int i = 0; i < _num_props; i++)
+  {
+    _properties.declareScalar(
+        _prop_names[i],
+        subdomainsToStrings(_block_ids),
+        getMFEMProblem().getProperties().getScalarPropertyPtr(_prop_values[i]));
+  }
+}
+
+MFEMGenericFunctionMaterial::~MFEMGenericFunctionMaterial() {}
+
+#endif
diff --git a/framework/src/mfem/materials/MFEMGenericFunctionVectorMaterial.C b/framework/src/mfem/materials/MFEMGenericFunctionVectorMaterial.C
new file mode 100644
index 000000000000..77f02a4bb47f
--- /dev/null
+++ b/framework/src/mfem/materials/MFEMGenericFunctionVectorMaterial.C
@@ -0,0 +1,48 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMGenericFunctionVectorMaterial.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMGenericFunctionVectorMaterial);
+
+InputParameters
+MFEMGenericFunctionVectorMaterial::validParams()
+{
+  InputParameters params = MFEMMaterial::validParams();
+  params.addClassDescription("Declares material vector properties based on names and functions "
+                             "prescribed by input parameters.");
+  params.addRequiredParam<std::vector<std::string>>(
+      "prop_names", "The names of the properties this material will have");
+  params.addRequiredParam<std::vector<FunctionName>>(
+      "prop_values", "The corresponding names of functions associated with the named properties");
+
+  return params;
+}
+
+MFEMGenericFunctionVectorMaterial::MFEMGenericFunctionVectorMaterial(
+    const InputParameters & parameters)
+  : MFEMMaterial(parameters),
+    _prop_names(getParam<std::vector<std::string>>("prop_names")),
+    _prop_values(getParam<std::vector<FunctionName>>("prop_values"))
+{
+  unsigned int num_names = _prop_names.size();
+  unsigned int num_values = _prop_values.size();
+
+  if (num_names != num_values)
+    mooseError(
+        "Number of prop_names must match the number of prop_values for a GenericConstantMaterial!");
+
+  _num_props = num_names;
+  for (unsigned int i = 0; i < _num_props; i++)
+  {
+    // FIXME: Ideally this would support arbitrary dimensions
+    _properties.declareVector(
+        _prop_names[i],
+        subdomainsToStrings(_block_ids),
+        getMFEMProblem().getProperties().getVectorPropertyPtr(_prop_values[i]));
+  }
+}
+
+MFEMGenericFunctionVectorMaterial::~MFEMGenericFunctionVectorMaterial() {}
+
+#endif
diff --git a/framework/src/mfem/materials/MFEMMaterial.C b/framework/src/mfem/materials/MFEMMaterial.C
new file mode 100644
index 000000000000..e8a8d557b6b3
--- /dev/null
+++ b/framework/src/mfem/materials/MFEMMaterial.C
@@ -0,0 +1,73 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMMaterial.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMMaterial);
+
+InputParameters
+MFEMMaterial::validParams()
+{
+  InputParameters params = MFEMGeneralUserObject::validParams();
+  params.addClassDescription(
+      "Base class for declaration of material properties to add to MFEM problems.");
+  params.set<std::string>("_moose_base") = "MaterialBase";
+  params.addPrivateParam<bool>("_neighbor", false);
+  params.addPrivateParam<bool>("_interface", false);
+
+  params.addParam<std::vector<SubdomainName>>(
+      "block",
+      {},
+      "The list of blocks (ids or names) that this object will be applied to. Leave empty to apply "
+      "to all blocks.");
+  return params;
+}
+
+std::vector<std::string>
+MFEMMaterial::subdomainsToStrings(const std::vector<SubdomainName> & blocks)
+{
+  std::vector<std::string> result(blocks.size());
+  auto & mesh = getMFEMProblem().mesh().getMFEMParMesh();
+  // FIXME: Is there really no better way to do this conversion? It doesn't seem like it should be
+  // necessary to do the various copies etc. for this.
+  std::transform(
+      blocks.begin(),
+      blocks.end(),
+      result.begin(),
+      // FIXME: How do I pass the string constructor directly?
+      [this, &mesh](const SubdomainName & x) -> std::string
+      {
+        try
+        {
+          // Is this a block ID?
+          std::stoi(x);
+          return std::string(x);
+        }
+        catch (...)
+        {
+          // It was not
+          auto & block_ids = mesh.attribute_sets.GetAttributeSet(x);
+          if (block_ids.Size() != 1)
+            this->mooseError("There should be a 1-to-1 correspondence between block name and block ID");
+          return std::to_string(block_ids[0]);
+        }
+      });
+  return result;
+}
+
+libMesh::Point
+MFEMMaterial::pointFromMFEMVector(const mfem::Vector & vec)
+{
+  return libMesh::Point(vec.Elem(0), vec.Elem(1), vec.Elem(2));
+}
+
+MFEMMaterial::MFEMMaterial(const InputParameters & parameters)
+  : MFEMGeneralUserObject(parameters),
+    _block_ids(getParam<std::vector<SubdomainName>>("block")),
+    _properties(getMFEMProblem().getProperties())
+{
+}
+
+MFEMMaterial::~MFEMMaterial() {}
+
+#endif
diff --git a/framework/src/mfem/mesh/MFEMMesh.C b/framework/src/mfem/mesh/MFEMMesh.C
new file mode 100644
index 000000000000..1106c29c5078
--- /dev/null
+++ b/framework/src/mfem/mesh/MFEMMesh.C
@@ -0,0 +1,117 @@
+#ifdef MFEM_ENABLED
+
+//* This file is part of the MOOSE framework
+//* https://www.mooseframework.org
+//*
+//* All rights reserved, see COPYRIGHT for full restrictions
+//* https://github.com/idaholab/moose/blob/master/COPYRIGHT
+//*
+//* Licensed under LGPL 2.1, please see LICENSE for details
+//* https://www.gnu.org/licenses/lgpl-2.1.html
+
+#include "MFEMMesh.h"
+
+registerMooseObject("MooseApp", MFEMMesh);
+
+InputParameters
+MFEMMesh::validParams()
+{
+  InputParameters params = FileMesh::validParams();
+  params.addParam<int>(
+      "serial_refine",
+      0,
+      "Number of serial refinements to perform on the mesh. Equivalent to uniform_refine.");
+  params.addParam<int>(
+      "uniform_refine",
+      0,
+      "Number of serial refinements to perform on the mesh. Equivalent to serial_refine");
+  params.addParam<int>(
+      "parallel_refine", 0, "Number of parallel refinements to perform on the mesh.");
+  params.addParam<std::string>("displacement", "Optional variable to use for mesh displacement.");
+
+  params.addClassDescription("Class to read in and store an mfem::ParMesh from file.");
+
+  return params;
+}
+
+MFEMMesh::MFEMMesh(const InputParameters & parameters) : FileMesh(parameters) {}
+
+MFEMMesh::~MFEMMesh() {}
+
+void
+MFEMMesh::buildMesh()
+{
+  TIME_SECTION("buildMesh", 2, "Reading Mesh");
+
+  // Build a dummy MOOSE mesh to enable this class to work with other MOOSE classes.
+  buildDummyMooseMesh();
+
+  // Build the MFEM ParMesh from a serial MFEM mesh
+  mfem::Mesh mfem_ser_mesh(getFileName());
+
+  if (isParamSetByUser("serial_refine") && isParamSetByUser("uniform_refine"))
+    paramError(
+        "Cannot define serial_refine and uniform_refine to be nonzero at the same time (they "
+        "are the same variable). Please choose one.\n");
+
+  uniformRefinement(mfem_ser_mesh,
+                    isParamSetByUser("serial_refine") ? getParam<int>("serial_refine")
+                                                      : getParam<int>("uniform_refine"));
+
+  _mfem_par_mesh = std::make_shared<mfem::ParMesh>(MPI_COMM_WORLD, mfem_ser_mesh);
+
+  // Perform parallel refinements
+  uniformRefinement(*_mfem_par_mesh, getParam<int>("parallel_refine"));
+
+  if (isParamSetByUser("displacement"))
+  {
+    _mesh_displacement_variable.emplace(getParam<std::string>("displacement"));
+  }
+}
+
+void
+MFEMMesh::displace(mfem::GridFunction const & displacement)
+{
+  _mfem_par_mesh->EnsureNodes();
+  mfem::GridFunction * nodes = _mfem_par_mesh->GetNodes();
+
+  *nodes += displacement;
+}
+
+void
+MFEMMesh::buildDummyMooseMesh()
+{
+  auto element = new Quad4;
+  element->set_id() = 1;
+  element->processor_id() = 0;
+
+  getMesh().add_elem(element);
+
+  Point pt1(0.0, 0.0, 0.0);
+  Point pt2(1.0, 0.0, 0.0);
+  Point pt3(1.0, 1.0, 0.0);
+  Point pt4(0.0, 1.0, 0.0);
+
+  element->set_node(0) = getMesh().add_point(pt1);
+  element->set_node(1) = getMesh().add_point(pt2);
+  element->set_node(2) = getMesh().add_point(pt3);
+  element->set_node(3) = getMesh().add_point(pt4);
+
+  getMesh().prepare_for_use();
+}
+
+void
+MFEMMesh::uniformRefinement(mfem::Mesh & mesh, int nref)
+{
+
+  for (int i = 0; i < nref; ++i)
+    mesh.UniformRefinement();
+}
+
+std::unique_ptr<MooseMesh>
+MFEMMesh::safeClone() const
+{
+  return _app.getFactory().copyConstruct(*this);
+}
+
+#endif
diff --git a/framework/src/mfem/outputs/MFEMConduitDataCollection.C b/framework/src/mfem/outputs/MFEMConduitDataCollection.C
new file mode 100644
index 000000000000..131f63726ce2
--- /dev/null
+++ b/framework/src/mfem/outputs/MFEMConduitDataCollection.C
@@ -0,0 +1,29 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMConduitDataCollection.h"
+
+registerMooseObject("MooseApp", MFEMConduitDataCollection);
+
+InputParameters
+MFEMConduitDataCollection::validParams()
+{
+  InputParameters params = MFEMDataCollection::validParams();
+  params.addClassDescription("Output for controlling MFEMConduitDataCollection inherited data.");
+  MooseEnum protocol("hdf5 json conduit_json conduit_bin", "hdf5", false);
+  params.addParam<MooseEnum>("protocol",
+                             protocol,
+                             "Conduit relay I/O protocol to use. Options: hdf5 (default), json, "
+                             "conduit_json, conduit_bin.");
+  return params;
+}
+
+MFEMConduitDataCollection::MFEMConduitDataCollection(const InputParameters & parameters)
+  : MFEMDataCollection(parameters),
+    _conduit_dc((_file_base).c_str(), _problem_data._pmesh.get()),
+    _protocol(getParam<MooseEnum>("protocol"))
+{
+  _conduit_dc.SetProtocol(_protocol);
+  registerFields();
+}
+
+#endif
diff --git a/framework/src/mfem/outputs/MFEMDataCollection.C b/framework/src/mfem/outputs/MFEMDataCollection.C
new file mode 100644
index 000000000000..aeb67eff0bfc
--- /dev/null
+++ b/framework/src/mfem/outputs/MFEMDataCollection.C
@@ -0,0 +1,40 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMDataCollection.h"
+
+InputParameters
+MFEMDataCollection::validParams()
+{
+  InputParameters params = FileOutput::validParams();
+  params.addClassDescription("Output for controlling MFEMDataCollection inherited data.");
+  return params;
+}
+
+MFEMDataCollection::MFEMDataCollection(const InputParameters & parameters)
+  : FileOutput(parameters),
+    _problem_data(static_cast<MFEMProblem *>(_problem_ptr)->getProblemData())
+{
+}
+
+void
+MFEMDataCollection::registerFields()
+{
+  mfem::DataCollection & dc(getDataCollection());
+  for (auto const & [gf_name, gf_ptr] : _problem_data._gridfunctions)
+  {
+    dc.RegisterField(gf_name, gf_ptr.get());
+  }
+}
+
+void
+MFEMDataCollection::output()
+{
+  mfem::DataCollection & dc(getDataCollection());
+  // Write fields to disk
+  dc.SetCycle(getFileNumber());
+  dc.SetTime(time());
+  dc.Save();
+  _file_num++;
+}
+
+#endif
diff --git a/framework/src/mfem/outputs/MFEMParaViewDataCollection.C b/framework/src/mfem/outputs/MFEMParaViewDataCollection.C
new file mode 100644
index 000000000000..54f9a537d034
--- /dev/null
+++ b/framework/src/mfem/outputs/MFEMParaViewDataCollection.C
@@ -0,0 +1,47 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMParaViewDataCollection.h"
+
+registerMooseObject("MooseApp", MFEMParaViewDataCollection);
+
+InputParameters
+MFEMParaViewDataCollection::validParams()
+{
+  InputParameters params = MFEMDataCollection::validParams();
+  params.addClassDescription("Output for controlling export to an mfem::ParaViewDataCollection.");
+  params.addParam<unsigned int>("refinements",
+                                0,
+                                "Number of uniform refinements for oversampling "
+                                "(refinement levels beyond any uniform "
+                                "refinements)");
+  params.addParam<bool>("high_order_output",
+                        false,
+                        "Sets whether or not to output the data as "
+                        "high-order elements (false by default)."
+                        "Reading high-order data requires ParaView"
+                        "5.5 or later.");
+
+  MooseEnum vtk_format("ASCII BINARY BINARY32", "BINARY", true);
+  params.addParam<MooseEnum>(
+      "vtk_format",
+      vtk_format,
+      "Select VTK data format to use, choosing between BINARY, BINARY32, and ASCII.");
+  return params;
+}
+
+MFEMParaViewDataCollection::MFEMParaViewDataCollection(const InputParameters & parameters)
+  : MFEMDataCollection(parameters),
+    _pv_dc((_file_base + std::string("/Run") + std::to_string(getFileNumber())).c_str(),
+           _problem_data._pmesh.get()),
+    _high_order_output(getParam<bool>("high_order_output")),
+    _refinements(getParam<unsigned int>("refinements")),
+    _vtk_format(parameters.get<MooseEnum>("vtk_format").getEnum<mfem::VTKFormat>())
+{
+  _pv_dc.SetPrecision(9);
+  _pv_dc.SetHighOrderOutput(_high_order_output);
+  _pv_dc.SetLevelsOfDetail(_refinements + 1);
+  _pv_dc.SetDataFormat(_vtk_format);
+  registerFields();
+}
+
+#endif
diff --git a/framework/src/mfem/outputs/MFEMVisItDataCollection.C b/framework/src/mfem/outputs/MFEMVisItDataCollection.C
new file mode 100644
index 000000000000..8a259f677cf9
--- /dev/null
+++ b/framework/src/mfem/outputs/MFEMVisItDataCollection.C
@@ -0,0 +1,30 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVisItDataCollection.h"
+
+registerMooseObject("MooseApp", MFEMVisItDataCollection);
+
+InputParameters
+MFEMVisItDataCollection::validParams()
+{
+  InputParameters params = MFEMDataCollection::validParams();
+  params.addClassDescription("Output for controlling export to an mfem::VisItDataCollection.");
+  params.addParam<unsigned int>("refinements",
+                                0,
+                                "Number of uniform refinements for oversampling "
+                                "(refinement levels beyond any uniform "
+                                "refinements)");
+  return params;
+}
+
+MFEMVisItDataCollection::MFEMVisItDataCollection(const InputParameters & parameters)
+  : MFEMDataCollection(parameters),
+    _visit_dc((_file_base + std::string("/Run") + std::to_string(getFileNumber())).c_str(),
+              _problem_data._pmesh.get()),
+    _refinements(getParam<unsigned int>("refinements"))
+{
+  _visit_dc.SetLevelsOfDetail(_refinements + 1);
+  registerFields();
+}
+
+#endif
diff --git a/framework/src/mfem/problem/MFEMProblem.C b/framework/src/mfem/problem/MFEMProblem.C
new file mode 100644
index 000000000000..0b69074f3c19
--- /dev/null
+++ b/framework/src/mfem/problem/MFEMProblem.C
@@ -0,0 +1,402 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMProblem.h"
+#include "MFEMScalarIC.h"
+
+#include <vector>
+#include <algorithm>
+
+registerMooseObject("MooseApp", MFEMProblem);
+
+InputParameters
+MFEMProblem::validParams()
+{
+  InputParameters params = ExternalProblem::validParams();
+  params.addClassDescription("Problem type for building and solving finite element problem using"
+                             " the MFEM finite element library.");
+  return params;
+}
+
+MFEMProblem::MFEMProblem(const InputParameters & params) : ExternalProblem(params) {}
+
+void
+MFEMProblem::initialSetup()
+{
+  FEProblemBase::initialSetup();
+  addMFEMNonlinearSolver();
+}
+
+void
+MFEMProblem::setMesh()
+{
+  auto pmesh = mesh().getMFEMParMeshPtr();
+  getProblemData()._pmesh = pmesh;
+  getProblemData()._comm = pmesh->GetComm();
+  MPI_Comm_size(pmesh->GetComm(), &(getProblemData()._num_procs));
+  MPI_Comm_rank(pmesh->GetComm(), &(getProblemData()._myid));
+}
+
+void
+MFEMProblem::initProblemOperator()
+{
+  setMesh();
+  auto mfem_exec_ptr = dynamic_cast<MFEMExecutioner *>(_app.getExecutioner());
+  if (mfem_exec_ptr != nullptr)
+  {
+    mfem_exec_ptr->constructProblemOperator();
+  }
+  else
+  {
+    mooseError("Executioner used that is not currently supported by MFEMProblem");
+  }
+}
+
+void
+MFEMProblem::addMFEMPreconditioner(const std::string & user_object_name,
+                                   const std::string & name,
+                                   InputParameters & parameters)
+{
+  FEProblemBase::addUserObject(user_object_name, name, parameters);
+  const MFEMSolverBase & mfem_preconditioner = getUserObject<MFEMSolverBase>(name);
+
+  getProblemData()._jacobian_preconditioner = mfem_preconditioner.getSolver();
+}
+
+void
+MFEMProblem::addMFEMSolver(const std::string & user_object_name,
+                           const std::string & name,
+                           InputParameters & parameters)
+{
+  FEProblemBase::addUserObject(user_object_name, name, parameters);
+  const MFEMSolverBase & mfem_solver = getUserObject<MFEMSolverBase>(name);
+
+  getProblemData()._jacobian_solver = mfem_solver.getSolver();
+}
+
+void
+MFEMProblem::addMFEMNonlinearSolver()
+{
+  auto nl_solver = std::make_shared<mfem::NewtonSolver>(getProblemData()._comm);
+
+  // Defaults to one iteration, without further nonlinear iterations
+  nl_solver->SetRelTol(0.0);
+  nl_solver->SetAbsTol(0.0);
+  nl_solver->SetMaxIter(1);
+
+  getProblemData()._nonlinear_solver = nl_solver;
+}
+
+void
+MFEMProblem::addBoundaryCondition(const std::string & bc_name,
+                                  const std::string & name,
+                                  InputParameters & parameters)
+{
+  FEProblemBase::addUserObject(bc_name, name, parameters);
+
+  auto object_ptr = getUserObject<MFEMBoundaryCondition>(name).getSharedPtr();
+  auto mfem_bc = std::dynamic_pointer_cast<MFEMBoundaryCondition>(object_ptr);
+
+  if (getProblemData()._bc_map.Has(name))
+  {
+    const std::string error_message = "A boundary condition with the name " + name +
+                                      " has already been added to the problem boundary conditions.";
+    mfem::mfem_error(error_message.c_str());
+  }
+  getProblemData()._bc_map.Register(name, std::move(mfem_bc));
+}
+
+void
+MFEMProblem::addMaterial(const std::string & kernel_name,
+                         const std::string & name,
+                         InputParameters & parameters)
+{
+  FEProblemBase::addUserObject(kernel_name, name, parameters);
+  getUserObject<MFEMMaterial>(name);
+}
+
+void
+MFEMProblem::addFESpace(const std::string & user_object_name,
+                        const std::string & name,
+                        InputParameters & parameters)
+{
+  FEProblemBase::addUserObject(user_object_name, name, parameters);
+  MFEMFESpace & mfem_fespace(getUserObject<MFEMFESpace>(name));
+
+  // Register fespace and associated fe collection.
+  getProblemData()._fecs.Register(name, mfem_fespace.getFEC());
+  getProblemData()._fespaces.Register(name, mfem_fespace.getFESpace());
+}
+
+void
+MFEMProblem::addVariable(const std::string & var_type,
+                         const std::string & var_name,
+                         InputParameters & parameters)
+{
+  addGridFunction(var_type, var_name, parameters);
+  // MOOSE variables store DoFs for the trial variable and its time derivatives up to second order;
+  // MFEM GridFunctions store data for only one set of DoFs each, so we must add additional
+  // GridFunctions for time derivatives.
+  if (isTransient())
+  {
+    addGridFunction(var_type, platypus::GetTimeDerivativeName(var_name), parameters);
+  }
+}
+
+void
+MFEMProblem::addGridFunction(const std::string & var_type,
+                             const std::string & var_name,
+                             InputParameters & parameters)
+{
+  if (var_type == "MFEMVariable")
+  {
+    // Add MFEM variable directly.
+    FEProblemBase::addUserObject(var_type, var_name, parameters);
+  }
+  else
+  {
+    // Add MOOSE variable.
+    FEProblemBase::addVariable(var_type, var_name, parameters);
+
+    // Add MFEM variable indirectly ("gridfunction").
+    InputParameters mfem_variable_params = addMFEMFESpaceFromMOOSEVariable(parameters);
+    FEProblemBase::addUserObject("MFEMVariable", var_name, mfem_variable_params);
+  }
+
+  // Register gridfunction.
+  MFEMVariable & mfem_variable = getUserObject<MFEMVariable>(var_name);
+  getProblemData()._gridfunctions.Register(var_name, mfem_variable.getGridFunction());
+}
+
+void
+MFEMProblem::addAuxVariable(const std::string & var_type,
+                            const std::string & var_name,
+                            InputParameters & parameters)
+{
+  // We do not handle MFEM AuxVariables separately from variables currently
+  addVariable(var_type, var_name, parameters);
+}
+
+void
+MFEMProblem::addKernel(const std::string & kernel_name,
+                       const std::string & name,
+                       InputParameters & parameters)
+{
+  FEProblemBase::addUserObject(kernel_name, name, parameters);
+  const UserObject * kernel = &(getUserObjectBase(name));
+
+  if (dynamic_cast<const MFEMKernel<mfem::LinearFormIntegrator> *>(kernel) != nullptr)
+  {
+    auto object_ptr = getUserObject<MFEMKernel<mfem::LinearFormIntegrator>>(name).getSharedPtr();
+    auto lf_kernel = std::dynamic_pointer_cast<MFEMKernel<mfem::LinearFormIntegrator>>(object_ptr);
+
+    addKernel(parameters.get<std::string>("variable"), lf_kernel);
+  }
+  else if (dynamic_cast<const MFEMKernel<mfem::BilinearFormIntegrator> *>(kernel) != nullptr)
+  {
+    auto object_ptr = getUserObject<MFEMKernel<mfem::BilinearFormIntegrator>>(name).getSharedPtr();
+    auto blf_kernel =
+        std::dynamic_pointer_cast<MFEMKernel<mfem::BilinearFormIntegrator>>(object_ptr);
+    addKernel(parameters.get<std::string>("variable"), blf_kernel);
+  }
+  else
+  {
+    mooseError("Unsupported kernel of type '", kernel_name, "' and name '", name, "' detected.");
+  }
+}
+
+libMesh::Point
+pointFromMFEMVector(const mfem::Vector & vec)
+{
+  return libMesh::Point(vec.Elem(0), vec.Elem(1), vec.Elem(2));
+}
+
+const std::vector<std::string> SCALAR_FUNCS = {"Axisymmetric2D3DSolutionFunction",
+                                               "BicubicSplineFunction",
+                                               "CoarsenedPiecewiseLinear",
+                                               "CompositeFunction",
+                                               "ConstantFunction",
+                                               "ImageFunction",
+                                               "ParsedFunction",
+                                               "ParsedGradFunction",
+                                               "PeriodicFunction",
+                                               "PiecewiseBilinear",
+                                               "PiecewiseConstant",
+                                               "PiecewiseConstantFromCSV",
+                                               "PiecewiseLinear",
+                                               "PiecewiseLinearFromVectorPostprocessor",
+                                               "PiecewiseMultiInterpolation",
+                                               "PiecewiseMulticonstant",
+                                               "SolutionFunction",
+                                               "SplineFunction",
+                                               "FunctionSeries",
+                                               "LevelSetOlssonBubble",
+                                               "LevelSetOlssonPlane",
+                                               "NearestReporterCoordinatesFunction",
+                                               "ParameterMeshFunction",
+                                               "ParsedOptimizationFunction",
+                                               "FourierNoise",
+                                               "MovingPlanarFront",
+                                               "MultiControlDrumFunction",
+                                               "Grad2ParsedFunction",
+                                               "GradParsedFunction",
+                                               "RichardsExcavGeom",
+                                               "ScaledAbsDifferenceDRLRewardFunction",
+                                               "CircularAreaHydraulicDiameterFunction",
+                                               "CosineHumpFunction",
+                                               "CosineTransitionFunction",
+                                               "CubicTransitionFunction",
+                                               "GeneralizedCircumference",
+                                               "PiecewiseFunction",
+                                               "TimeRampFunction"},
+                               VECTOR_FUNCS = {"ParsedVectorFunction", "LevelSetOlssonVortex"};
+
+void
+MFEMProblem::addFunction(const std::string & type,
+                         const std::string & name,
+                         InputParameters & parameters)
+{
+  ExternalProblem::addFunction(type, name, parameters);
+  auto & func = getFunction(name);
+  // FIXME: Do we want to have optimised versions for when functions
+  // are only of space or only of time.
+  if (std::find(SCALAR_FUNCS.begin(), SCALAR_FUNCS.end(), type) != SCALAR_FUNCS.end())
+  {
+    getProperties().declareScalar(name,
+                                  std::make_shared<mfem::FunctionCoefficient>(
+                                      [&func](const mfem::Vector & p, double t) -> mfem::real_t
+                                      { return func.value(t, pointFromMFEMVector(p)); }));
+  }
+  else if (std::find(VECTOR_FUNCS.begin(), VECTOR_FUNCS.end(), type) != VECTOR_FUNCS.end())
+  {
+    getProperties().declareVector(name,
+                                  std::make_shared<mfem::VectorFunctionCoefficient>(
+                                      3,
+                                      [&func](const mfem::Vector & p, double t, mfem::Vector & u)
+                                      {
+                                        libMesh::RealVectorValue vector_value =
+                                            func.vectorValue(t, pointFromMFEMVector(p));
+                                        u[0] = vector_value(0);
+                                        u[1] = vector_value(1);
+                                        u[2] = vector_value(2);
+                                      }));
+  }
+  else
+  {
+    mooseWarning("Could not identify whether function ",
+                 type,
+                 " is scalar or vector; no MFEM coefficient object created.");
+  }
+}
+
+InputParameters
+MFEMProblem::addMFEMFESpaceFromMOOSEVariable(InputParameters & parameters)
+{
+  InputParameters fespace_params = _factory.getValidParams("MFEMFESpace");
+  InputParameters mfem_variable_params = _factory.getValidParams("MFEMVariable");
+
+  auto moose_fe_type =
+      FEType(Utility::string_to_enum<Order>(parameters.get<MooseEnum>("order")),
+             Utility::string_to_enum<FEFamily>(parameters.get<MooseEnum>("family")));
+
+  std::string mfem_family;
+  int mfem_vdim = 1;
+
+  switch (moose_fe_type.family)
+  {
+    case FEFamily::LAGRANGE:
+      mfem_family = "H1";
+      mfem_vdim = 1;
+      break;
+    case FEFamily::LAGRANGE_VEC:
+      mfem_family = "H1";
+      mfem_vdim = 3;
+      break;
+    case FEFamily::MONOMIAL:
+      mfem_family = "L2";
+      mfem_vdim = 1;
+      break;
+    case FEFamily::MONOMIAL_VEC:
+      mfem_family = "L2";
+      mfem_vdim = 3;
+      break;
+    default:
+      mooseError("Unable to set MFEM FESpace for MOOSE variable");
+      break;
+  }
+
+  // Set all fespace parameters.
+  fespace_params.set<MooseEnum>("fec_order") = moose_fe_type.order;
+  fespace_params.set<MooseEnum>("fec_type") = mfem_family;
+  fespace_params.set<int>("vdim") = mfem_vdim;
+
+  // Create unique fespace name. If this already exists, we will reuse this for
+  // the mfem variable ("gridfunction").
+  const std::string fespace_name =
+      mfem_family + "_3D_P" + std::to_string(moose_fe_type.order.get_order());
+
+  if (!hasUserObject(fespace_name)) // Create the fespace (implicit).
+  {
+    addFESpace("MFEMFESpace", fespace_name, fespace_params);
+  }
+
+  mfem_variable_params.set<UserObjectName>("fespace") = fespace_name;
+
+  return mfem_variable_params;
+}
+
+void
+MFEMProblem::displaceMesh()
+{
+  // Displace mesh
+  if (mesh().shouldDisplace())
+  {
+    mesh().displace(static_cast<mfem::GridFunction const &>(*getMeshDisplacementGridFunction()));
+    // TODO: update FESpaces GridFunctions etc for transient solves
+  }
+}
+
+std::optional<std::reference_wrapper<mfem::ParGridFunction const>>
+MFEMProblem::getMeshDisplacementGridFunction()
+{
+  // If C++23 transform were available this would be easier
+  auto const displacement_variable = mesh().getMeshDisplacementVariable();
+  if (displacement_variable)
+  {
+    return *_problem_data._gridfunctions.Get(displacement_variable.value());
+  }
+  else
+  {
+    return std::nullopt;
+  }
+}
+
+std::vector<VariableName>
+MFEMProblem::getAuxVariableNames()
+{
+  return systemBaseAuxiliary().getVariableNames();
+}
+
+MFEMMesh &
+MFEMProblem::mesh()
+{
+  mooseAssert(ExternalProblem::mesh().type() == "MFEMMesh",
+              "Please choose the MFEMMesh mesh type for an MFEMProblem\n");
+  return (MFEMMesh &)_mesh;
+}
+
+std::shared_ptr<mfem::ParGridFunction>
+MFEMProblem::getGridFunction(const std::string & name)
+{
+  return getUserObject<MFEMVariable>(name).getGridFunction();
+}
+
+void
+MFEMProblem::addInitialCondition(const std::string & ic_name,
+                                 const std::string & name,
+                                 InputParameters & parameters)
+{
+  FEProblemBase::addUserObject(ic_name, name, parameters);
+  getUserObject<MFEMScalarIC>(name); // error check
+}
+
+#endif
diff --git a/framework/src/mfem/problem_operators/equation_system_problem_operator.C b/framework/src/mfem/problem_operators/equation_system_problem_operator.C
new file mode 100644
index 000000000000..2aa43bf99467
--- /dev/null
+++ b/framework/src/mfem/problem_operators/equation_system_problem_operator.C
@@ -0,0 +1,36 @@
+#ifdef MFEM_ENABLED
+
+#include "equation_system_problem_operator.h"
+
+namespace platypus
+{
+void
+EquationSystemProblemOperator::SetGridFunctions()
+{
+  _trial_var_names = GetEquationSystem()->_trial_var_names;
+  ProblemOperator::SetGridFunctions();
+}
+
+void
+EquationSystemProblemOperator::Init(mfem::BlockVector & X)
+{
+  ProblemOperator::Init(X);
+
+  GetEquationSystem()->BuildEquationSystem(_problem._bc_map);
+}
+
+void
+EquationSystemProblemOperator::Solve(mfem::Vector &)
+{
+  GetEquationSystem()->BuildJacobian(_true_x, _true_rhs);
+
+  _problem._nonlinear_solver->SetSolver(*_problem._jacobian_solver);
+  _problem._nonlinear_solver->SetOperator(*GetEquationSystem());
+  _problem._nonlinear_solver->Mult(_true_rhs, _true_x);
+
+  GetEquationSystem()->RecoverFEMSolution(_true_x, _problem._gridfunctions);
+}
+
+} // namespace platypus
+
+#endif
diff --git a/framework/src/mfem/problem_operators/problem_operator.C b/framework/src/mfem/problem_operators/problem_operator.C
new file mode 100644
index 000000000000..7392b3123fe0
--- /dev/null
+++ b/framework/src/mfem/problem_operators/problem_operator.C
@@ -0,0 +1,17 @@
+#ifdef MFEM_ENABLED
+
+#include "problem_operator.h"
+
+namespace platypus
+{
+
+void
+ProblemOperator::SetGridFunctions()
+{
+  ProblemOperatorInterface::SetGridFunctions();
+  width = height = _block_true_offsets[_trial_variables.size()];
+};
+
+} // namespace platypus
+
+#endif
diff --git a/framework/src/mfem/problem_operators/problem_operator_interface.C b/framework/src/mfem/problem_operators/problem_operator_interface.C
new file mode 100644
index 000000000000..a814d21c4aba
--- /dev/null
+++ b/framework/src/mfem/problem_operators/problem_operator_interface.C
@@ -0,0 +1,56 @@
+#ifdef MFEM_ENABLED
+
+#include "problem_operator_interface.h"
+
+namespace platypus
+{
+void
+ProblemOperatorInterface::SetGridFunctions()
+{
+  _test_variables = _problem._gridfunctions.Get(_test_var_names);
+  _trial_variables = _problem._gridfunctions.Get(_trial_var_names);
+
+  // Set operator size and block structure
+  _block_true_offsets.SetSize(_trial_variables.size() + 1);
+  _block_true_offsets[0] = 0;
+  for (unsigned int ind = 0; ind < _trial_variables.size(); ++ind)
+  {
+    _block_true_offsets[ind + 1] = _trial_variables.at(ind)->ParFESpace()->TrueVSize();
+  }
+  _block_true_offsets.PartialSum();
+
+  _true_x.Update(_block_true_offsets);
+  _true_rhs.Update(_block_true_offsets);
+}
+
+void
+ProblemOperatorInterface::Init(mfem::BlockVector & X)
+{
+  X.Update(_block_true_offsets);
+  for (size_t i = 0; i < _test_variables.size(); ++i)
+  {
+    _test_variables.at(i)->MakeTRef(_test_variables.at(i)->ParFESpace(), X, _block_true_offsets[i]);
+  }
+}
+
+void
+ProblemOperatorInterface::SetTestVariablesFromTrueVectors()
+{
+  for (unsigned int ind = 0; ind < _test_variables.size(); ++ind)
+  {
+    _test_variables.at(ind)->SetFromTrueVector();
+  }
+}
+
+void
+ProblemOperatorInterface::SetTrialVariablesFromTrueVectors()
+{
+  for (unsigned int ind = 0; ind < _trial_variables.size(); ++ind)
+  {
+    _trial_variables.at(ind)->SetFromTrueVector();
+  }
+}
+
+}
+
+#endif
diff --git a/framework/src/mfem/problem_operators/time_domain_equation_system_problem_operator.C b/framework/src/mfem/problem_operators/time_domain_equation_system_problem_operator.C
new file mode 100644
index 000000000000..55e5a8ce3547
--- /dev/null
+++ b/framework/src/mfem/problem_operators/time_domain_equation_system_problem_operator.C
@@ -0,0 +1,69 @@
+#ifdef MFEM_ENABLED
+
+#include "time_domain_equation_system_problem_operator.h"
+
+namespace platypus
+{
+
+void
+TimeDomainEquationSystemProblemOperator::SetGridFunctions()
+{
+  _test_var_names = GetEquationSystem()->_test_var_names;
+  _trial_var_names = GetEquationSystem()->_trial_var_names;
+  _trial_variable_time_derivatives =
+      _problem._gridfunctions.Get(GetEquationSystem()->_trial_var_time_derivative_names);
+
+  TimeDomainProblemOperator::SetGridFunctions();
+}
+
+void
+TimeDomainEquationSystemProblemOperator::Init(mfem::BlockVector & X)
+{
+  TimeDomainProblemOperator::Init(X);
+  GetEquationSystem()->BuildEquationSystem(_problem._bc_map);
+}
+
+void
+TimeDomainEquationSystemProblemOperator::ImplicitSolve(const double dt,
+                                                       const mfem::Vector & /*X*/,
+                                                       mfem::Vector & dX_dt)
+{
+  dX_dt = 0.0;
+  SetTestVariablesFromTrueVectors();
+  for (unsigned int ind = 0; ind < _trial_variables.size(); ++ind)
+  {
+    _trial_variables.at(ind)->MakeTRef(
+        _trial_variables.at(ind)->ParFESpace(), dX_dt, _block_true_offsets[ind]);
+  }
+  const double time = GetTime();
+  for (auto & coef : _problem._scalar_manager)
+  {
+    coef->SetTime(time);
+  }
+  for (auto & coef : _problem._vector_manager)
+  {
+    coef->SetTime(time);
+  }
+  for (auto & coef : _problem._matrix_manager)
+  {
+    coef->SetTime(time);
+  }
+  BuildEquationSystemOperator(dt);
+
+  _problem._nonlinear_solver->SetSolver(*_problem._jacobian_solver);
+  _problem._nonlinear_solver->SetOperator(*GetEquationSystem());
+  _problem._nonlinear_solver->Mult(_true_rhs, dX_dt);
+  SetTrialVariablesFromTrueVectors();
+}
+
+void
+TimeDomainEquationSystemProblemOperator::BuildEquationSystemOperator(double dt)
+{
+  GetEquationSystem()->SetTimeStep(dt);
+  GetEquationSystem()->UpdateEquationSystem(_problem._bc_map);
+  GetEquationSystem()->BuildJacobian(_true_x, _true_rhs);
+}
+
+} // namespace platypus
+
+#endif
diff --git a/framework/src/mfem/problem_operators/time_domain_problem_operator.C b/framework/src/mfem/problem_operators/time_domain_problem_operator.C
new file mode 100644
index 000000000000..63317c4c3fe5
--- /dev/null
+++ b/framework/src/mfem/problem_operators/time_domain_problem_operator.C
@@ -0,0 +1,27 @@
+#ifdef MFEM_ENABLED
+
+#include "time_domain_problem_operator.h"
+
+namespace platypus
+{
+std::vector<std::string>
+GetTimeDerivativeNames(std::vector<std::string> gridfunction_names)
+{
+  std::vector<std::string> time_derivative_names;
+  for (auto & gridfunction_name : gridfunction_names)
+  {
+    time_derivative_names.push_back(GetTimeDerivativeName(gridfunction_name));
+  }
+  return time_derivative_names;
+}
+
+void
+TimeDomainProblemOperator::SetGridFunctions()
+{
+  ProblemOperatorInterface::SetGridFunctions();
+  width = height = _block_true_offsets[_trial_variables.size()];
+}
+
+} // namespace platypus
+
+#endif
diff --git a/framework/src/mfem/solvers/MFEMCGSolver.C b/framework/src/mfem/solvers/MFEMCGSolver.C
new file mode 100644
index 000000000000..8807b6b639db
--- /dev/null
+++ b/framework/src/mfem/solvers/MFEMCGSolver.C
@@ -0,0 +1,48 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMCGSolver.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMCGSolver);
+
+InputParameters
+MFEMCGSolver::validParams()
+{
+  InputParameters params = MFEMSolverBase::validParams();
+  params.addClassDescription("MFEM native solver for the iterative solution of MFEM equation "
+                             "systems using the conjugate gradient method.");
+
+  params.addParam<double>("l_tol", 1e-5, "Set the relative tolerance.");
+  params.addParam<double>("l_abs_tol", 1e-50, "Set the absolute tolerance.");
+  params.addParam<int>("l_max_its", 10000, "Set the maximum number of iterations.");
+  params.addParam<int>("print_level", 2, "Set the solver verbosity.");
+  params.addParam<UserObjectName>("preconditioner", "Optional choice of preconditioner to use.");
+
+  return params;
+}
+
+MFEMCGSolver::MFEMCGSolver(const InputParameters & parameters)
+  : MFEMSolverBase(parameters),
+    _preconditioner(isParamSetByUser("preconditioner")
+                        ? getUserObject<MFEMSolverBase>("preconditioner").getSolver()
+                        : nullptr)
+{
+  constructSolver(parameters);
+}
+
+void
+MFEMCGSolver::constructSolver(const InputParameters &)
+{
+  auto preconditioner = std::dynamic_pointer_cast<mfem::Solver>(_preconditioner);
+
+  _solver = std::make_shared<mfem::CGSolver>(getMFEMProblem().mesh().getMFEMParMesh().GetComm());
+  _solver->SetRelTol(getParam<double>("l_tol"));
+  _solver->SetAbsTol(getParam<double>("l_abs_tol"));
+  _solver->SetMaxIter(getParam<int>("l_max_its"));
+  _solver->SetPrintLevel(getParam<int>("print_level"));
+
+  if (preconditioner)
+    _solver->SetPreconditioner(*preconditioner);
+}
+
+#endif
diff --git a/framework/src/mfem/solvers/MFEMGMRESSolver.C b/framework/src/mfem/solvers/MFEMGMRESSolver.C
new file mode 100644
index 000000000000..8ab33a8d4e44
--- /dev/null
+++ b/framework/src/mfem/solvers/MFEMGMRESSolver.C
@@ -0,0 +1,48 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMGMRESSolver.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMGMRESSolver);
+
+InputParameters
+MFEMGMRESSolver::validParams()
+{
+  InputParameters params = MFEMSolverBase::validParams();
+  params.addClassDescription("MFEM native solver for the iterative solution of MFEM equation "
+                             "systems using the generalized minimal residual method.");
+
+  params.addParam<double>("l_tol", 1e-5, "Set the relative tolerance.");
+  params.addParam<double>("l_abs_tol", 1e-50, "Set the absolute tolerance.");
+  params.addParam<int>("l_max_its", 10000, "Set the maximum number of iterations.");
+  params.addParam<int>("print_level", 2, "Set the solver verbosity.");
+  params.addParam<UserObjectName>("preconditioner", "Optional choice of preconditioner to use.");
+
+  return params;
+}
+
+MFEMGMRESSolver::MFEMGMRESSolver(const InputParameters & parameters)
+  : MFEMSolverBase(parameters),
+    _preconditioner(isParamSetByUser("preconditioner")
+                        ? getUserObject<MFEMSolverBase>("preconditioner").getSolver()
+                        : nullptr)
+{
+  constructSolver(parameters);
+}
+
+void
+MFEMGMRESSolver::constructSolver(const InputParameters &)
+{
+  auto preconditioner = std::dynamic_pointer_cast<mfem::Solver>(_preconditioner);
+
+  _solver = std::make_shared<mfem::GMRESSolver>(getMFEMProblem().mesh().getMFEMParMesh().GetComm());
+  _solver->SetRelTol(getParam<double>("l_tol"));
+  _solver->SetAbsTol(getParam<double>("l_abs_tol"));
+  _solver->SetMaxIter(getParam<int>("l_max_its"));
+  _solver->SetPrintLevel(getParam<int>("print_level"));
+
+  if (preconditioner)
+    _solver->SetPreconditioner(*preconditioner);
+}
+
+#endif
diff --git a/framework/src/mfem/solvers/MFEMHypreADS.C b/framework/src/mfem/solvers/MFEMHypreADS.C
new file mode 100644
index 000000000000..0279d4e330a8
--- /dev/null
+++ b/framework/src/mfem/solvers/MFEMHypreADS.C
@@ -0,0 +1,31 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMHypreADS.h"
+
+registerMooseObject("MooseApp", MFEMHypreADS);
+
+InputParameters
+MFEMHypreADS::validParams()
+{
+  InputParameters params = MFEMSolverBase::validParams();
+  params.addClassDescription("Hypre auxiliary-space divergence solver and preconditioner for the "
+                             "iterative solution of MFEM equation systems.");
+  params.addParam<UserObjectName>("fespace", "H(div) FESpace to use in HypreADS setup.");
+  params.addParam<int>("print_level", 2, "Set the solver verbosity.");
+  return params;
+}
+
+MFEMHypreADS::MFEMHypreADS(const InputParameters & parameters)
+  : MFEMSolverBase(parameters), _mfem_fespace(getUserObject<MFEMFESpace>("fespace"))
+{
+  constructSolver(parameters);
+}
+
+void
+MFEMHypreADS::constructSolver(const InputParameters &)
+{
+  _preconditioner = std::make_shared<mfem::HypreADS>(_mfem_fespace.getFESpace().get());
+  _preconditioner->SetPrintLevel(getParam<int>("print_level"));
+}
+
+#endif
diff --git a/framework/src/mfem/solvers/MFEMHypreAMS.C b/framework/src/mfem/solvers/MFEMHypreAMS.C
new file mode 100644
index 000000000000..ec4248c85043
--- /dev/null
+++ b/framework/src/mfem/solvers/MFEMHypreAMS.C
@@ -0,0 +1,39 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMHypreAMS.h"
+
+registerMooseObject("MooseApp", MFEMHypreAMS);
+
+InputParameters
+MFEMHypreAMS::validParams()
+{
+  InputParameters params = MFEMSolverBase::validParams();
+  params.addClassDescription("Hypre auxiliary-space Maxwell solver and preconditioner for the "
+                             "iterative solution of MFEM equation systems.");
+  params.addParam<UserObjectName>("fespace", "H(curl) FESpace to use in HypreAMS setup.");
+  params.addParam<bool>("singular",
+                        false,
+                        "Declare that the system is singular; use when solving curl-curl problem "
+                        "if mass term is zero");
+  params.addParam<int>("print_level", 2, "Set the solver verbosity.");
+  return params;
+}
+
+MFEMHypreAMS::MFEMHypreAMS(const InputParameters & parameters)
+  : MFEMSolverBase(parameters), _mfem_fespace(getUserObject<MFEMFESpace>("fespace"))
+{
+  constructSolver(parameters);
+}
+
+void
+MFEMHypreAMS::constructSolver(const InputParameters &)
+{
+  _preconditioner = std::make_shared<mfem::HypreAMS>(_mfem_fespace.getFESpace().get());
+  if (getParam<bool>("singular"))
+  {
+    _preconditioner->SetSingularProblem();
+  }
+  _preconditioner->SetPrintLevel(getParam<int>("print_level"));
+}
+
+#endif
diff --git a/framework/src/mfem/solvers/MFEMHypreBoomerAMG.C b/framework/src/mfem/solvers/MFEMHypreBoomerAMG.C
new file mode 100644
index 000000000000..5bc03b7cae8e
--- /dev/null
+++ b/framework/src/mfem/solvers/MFEMHypreBoomerAMG.C
@@ -0,0 +1,49 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMHypreBoomerAMG.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMHypreBoomerAMG);
+
+InputParameters
+MFEMHypreBoomerAMG::validParams()
+{
+  InputParameters params = MFEMSolverBase::validParams();
+  params.addClassDescription("Hypre BoomerAMG solver and preconditioner for the iterative solution "
+                             "of MFEM equation systems.");
+  params.addParam<double>("l_tol", 1e-5, "Set the relative tolerance.");
+  params.addParam<int>("l_max_its", 10000, "Set the maximum number of iterations.");
+  params.addParam<int>("print_level", 2, "Set the solver verbosity.");
+  params.addParam<UserObjectName>(
+      "fespace", "H1 FESpace to use in HypreBoomerAMG setup for elasticity problems.");
+  params.addParam<mfem::real_t>(
+      "strength_threshold", 0.25, "HypreBoomerAMG strong threshold. Defaults to 0.25.");
+  return params;
+}
+
+MFEMHypreBoomerAMG::MFEMHypreBoomerAMG(const InputParameters & parameters)
+  : MFEMSolverBase(parameters),
+    _mfem_fespace(isParamSetByUser("fespace") ? getUserObject<MFEMFESpace>("fespace").getFESpace()
+                                              : nullptr),
+    _strength_threshold(getParam<mfem::real_t>("strength_threshold"))
+{
+  constructSolver(parameters);
+}
+
+void
+MFEMHypreBoomerAMG::constructSolver(const InputParameters &)
+{
+  _solver = std::make_shared<mfem::HypreBoomerAMG>();
+
+  _solver->SetTol(getParam<double>("l_tol"));
+  _solver->SetMaxIter(getParam<int>("l_max_its"));
+  _solver->SetPrintLevel(getParam<int>("print_level"));
+  _solver->SetStrengthThresh(_strength_threshold);
+
+  if (_mfem_fespace)
+  {
+    _solver->SetElasticityOptions(_mfem_fespace.get());
+  }
+}
+
+#endif
diff --git a/framework/src/mfem/solvers/MFEMHypreFGMRES.C b/framework/src/mfem/solvers/MFEMHypreFGMRES.C
new file mode 100644
index 000000000000..cdf47c2cff4c
--- /dev/null
+++ b/framework/src/mfem/solvers/MFEMHypreFGMRES.C
@@ -0,0 +1,47 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMHypreFGMRES.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMHypreFGMRES);
+
+InputParameters
+MFEMHypreFGMRES::validParams()
+{
+  InputParameters params = MFEMSolverBase::validParams();
+  params.addClassDescription("Hypre solver for the iterative solution of MFEM equation systems "
+                             "using the flexible generalized minimal residual method.");
+  params.addParam<double>("l_tol", 1e-5, "Set the relative tolerance.");
+  params.addParam<int>("l_max_its", 10000, "Set the maximum number of iterations.");
+  params.addParam<int>("kdim", 10, "Set the k-dimension.");
+  params.addParam<int>("print_level", 2, "Set the solver verbosity.");
+  params.addParam<UserObjectName>("preconditioner", "Optional choice of preconditioner to use.");
+
+  return params;
+}
+
+MFEMHypreFGMRES::MFEMHypreFGMRES(const InputParameters & parameters)
+  : MFEMSolverBase(parameters),
+    _preconditioner(isParamSetByUser("preconditioner")
+                        ? getUserObject<MFEMSolverBase>("preconditioner").getSolver()
+                        : nullptr)
+{
+  constructSolver(parameters);
+}
+
+void
+MFEMHypreFGMRES::constructSolver(const InputParameters &)
+{
+  auto hypre_preconditioner = std::dynamic_pointer_cast<mfem::HypreSolver>(_preconditioner);
+
+  _solver = std::make_shared<mfem::HypreFGMRES>(getMFEMProblem().mesh().getMFEMParMesh().GetComm());
+  _solver->SetTol(getParam<double>("l_tol"));
+  _solver->SetMaxIter(getParam<int>("l_max_its"));
+  _solver->SetKDim(getParam<int>("kdim"));
+  _solver->SetPrintLevel(getParam<int>("print_level"));
+
+  if (hypre_preconditioner)
+    _solver->SetPreconditioner(*hypre_preconditioner);
+}
+
+#endif
diff --git a/framework/src/mfem/solvers/MFEMHypreGMRES.C b/framework/src/mfem/solvers/MFEMHypreGMRES.C
new file mode 100644
index 000000000000..a8751cfd03db
--- /dev/null
+++ b/framework/src/mfem/solvers/MFEMHypreGMRES.C
@@ -0,0 +1,50 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMHypreGMRES.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMHypreGMRES);
+
+InputParameters
+MFEMHypreGMRES::validParams()
+{
+  InputParameters params = MFEMSolverBase::validParams();
+  params.addClassDescription("Hypre solver for the iterative solution of MFEM equation systems "
+                             "using the generalized minimal residual method.");
+
+  params.addParam<double>("l_tol", 1e-5, "Set the relative tolerance.");
+  params.addParam<double>("l_abs_tol", 1e-50, "Set the absolute tolerance.");
+  params.addParam<int>("l_max_its", 10000, "Set the maximum number of iterations.");
+  params.addParam<int>("kdim", 10, "Set the k-dimension.");
+  params.addParam<int>("print_level", 2, "Set the solver verbosity.");
+  params.addParam<UserObjectName>("preconditioner", "Optional choice of preconditioner to use.");
+
+  return params;
+}
+
+MFEMHypreGMRES::MFEMHypreGMRES(const InputParameters & parameters)
+  : MFEMSolverBase(parameters),
+    _preconditioner(isParamSetByUser("preconditioner")
+                        ? getUserObject<MFEMSolverBase>("preconditioner").getSolver()
+                        : nullptr)
+{
+  constructSolver(parameters);
+}
+
+void
+MFEMHypreGMRES::constructSolver(const InputParameters &)
+{
+  auto hypre_preconditioner = std::dynamic_pointer_cast<mfem::HypreSolver>(_preconditioner);
+
+  _solver = std::make_shared<mfem::HypreGMRES>(getMFEMProblem().mesh().getMFEMParMesh().GetComm());
+  _solver->SetTol(getParam<double>("l_tol"));
+  _solver->SetAbsTol(getParam<double>("l_abs_tol"));
+  _solver->SetMaxIter(getParam<int>("l_max_its"));
+  _solver->SetKDim(getParam<int>("kdim"));
+  _solver->SetPrintLevel(getParam<int>("print_level"));
+
+  if (hypre_preconditioner)
+    _solver->SetPreconditioner(*hypre_preconditioner);
+}
+
+#endif
diff --git a/framework/src/mfem/solvers/MFEMHyprePCG.C b/framework/src/mfem/solvers/MFEMHyprePCG.C
new file mode 100644
index 000000000000..2041b110957e
--- /dev/null
+++ b/framework/src/mfem/solvers/MFEMHyprePCG.C
@@ -0,0 +1,48 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMHyprePCG.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMHyprePCG);
+
+InputParameters
+MFEMHyprePCG::validParams()
+{
+  InputParameters params = MFEMSolverBase::validParams();
+  params.addClassDescription("Hypre solver for the iterative solution of MFEM equation systems "
+                             "using the preconditioned conjugate gradient method.");
+
+  params.addParam<double>("l_tol", 1e-5, "Set the relative tolerance.");
+  params.addParam<double>("l_abs_tol", 1e-50, "Set the absolute tolerance.");
+  params.addParam<int>("l_max_its", 10000, "Set the maximum number of iterations.");
+  params.addParam<int>("print_level", 2, "Set the solver verbosity.");
+  params.addParam<UserObjectName>("preconditioner", "Optional choice of preconditioner to use.");
+
+  return params;
+}
+
+MFEMHyprePCG::MFEMHyprePCG(const InputParameters & parameters)
+  : MFEMSolverBase(parameters),
+    _preconditioner(isParamSetByUser("preconditioner")
+                        ? getUserObject<MFEMSolverBase>("preconditioner").getSolver()
+                        : nullptr)
+{
+  constructSolver(parameters);
+}
+
+void
+MFEMHyprePCG::constructSolver(const InputParameters &)
+{
+  auto hypre_preconditioner = std::dynamic_pointer_cast<mfem::HypreSolver>(_preconditioner);
+
+  _solver = std::make_shared<mfem::HyprePCG>(getMFEMProblem().mesh().getMFEMParMesh().GetComm());
+  _solver->SetTol(getParam<double>("l_tol"));
+  _solver->SetAbsTol(getParam<double>("l_abs_tol"));
+  _solver->SetMaxIter(getParam<int>("l_max_its"));
+  _solver->SetPrintLevel(getParam<int>("print_level"));
+
+  if (hypre_preconditioner)
+    _solver->SetPreconditioner(*hypre_preconditioner);
+}
+
+#endif
diff --git a/framework/src/mfem/solvers/MFEMOperatorJacobiSmoother.C b/framework/src/mfem/solvers/MFEMOperatorJacobiSmoother.C
new file mode 100644
index 000000000000..d6092c53dba5
--- /dev/null
+++ b/framework/src/mfem/solvers/MFEMOperatorJacobiSmoother.C
@@ -0,0 +1,28 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMOperatorJacobiSmoother.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMOperatorJacobiSmoother);
+
+InputParameters
+MFEMOperatorJacobiSmoother::validParams()
+{
+  InputParameters params = MFEMSolverBase::validParams();
+  params.addClassDescription("MFEM solver for performing Jacobi smoothing of the equation system.");
+  return params;
+}
+
+MFEMOperatorJacobiSmoother::MFEMOperatorJacobiSmoother(const InputParameters & parameters)
+  : MFEMSolverBase(parameters)
+{
+  constructSolver(parameters);
+}
+
+void
+MFEMOperatorJacobiSmoother::constructSolver(const InputParameters &)
+{
+  _preconditioner = std::make_shared<mfem::OperatorJacobiSmoother>();
+}
+
+#endif
diff --git a/framework/src/mfem/solvers/MFEMSolverBase.C b/framework/src/mfem/solvers/MFEMSolverBase.C
new file mode 100644
index 000000000000..21e9556f7d6a
--- /dev/null
+++ b/framework/src/mfem/solvers/MFEMSolverBase.C
@@ -0,0 +1,20 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMSolverBase.h"
+
+InputParameters
+MFEMSolverBase::validParams()
+{
+  InputParameters params = MFEMGeneralUserObject::validParams();
+  params.addClassDescription("Base class for defining mfem::Solver derived classes for Moose.");
+  params.registerBase("MFEMSolverBase");
+
+  return params;
+}
+
+MFEMSolverBase::MFEMSolverBase(const InputParameters & parameters)
+  : MFEMGeneralUserObject(parameters)
+{
+}
+
+#endif
diff --git a/framework/src/mfem/solvers/MFEMSuperLU.C b/framework/src/mfem/solvers/MFEMSuperLU.C
new file mode 100644
index 000000000000..4c66069b139a
--- /dev/null
+++ b/framework/src/mfem/solvers/MFEMSuperLU.C
@@ -0,0 +1,29 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMSuperLU.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMSuperLU);
+
+InputParameters
+MFEMSuperLU::validParams()
+{
+  InputParameters params = MFEMSolverBase::validParams();
+  params.addClassDescription("MFEM solver for performing direct solves of sparse systems in "
+                             "parallel using the SuperLU_DIST library.");
+  return params;
+}
+
+MFEMSuperLU::MFEMSuperLU(const InputParameters & parameters) : MFEMSolverBase(parameters)
+{
+  constructSolver(parameters);
+}
+
+void
+MFEMSuperLU::constructSolver(const InputParameters &)
+{
+  _solver =
+      std::make_shared<platypus::SuperLUSolver>(getMFEMProblem().mesh().getMFEMParMesh().GetComm());
+}
+
+#endif
diff --git a/framework/src/mfem/userobjects/MFEMGeneralUserObject.C b/framework/src/mfem/userobjects/MFEMGeneralUserObject.C
new file mode 100644
index 000000000000..7c069a7de1a1
--- /dev/null
+++ b/framework/src/mfem/userobjects/MFEMGeneralUserObject.C
@@ -0,0 +1,39 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMGeneralUserObject.h"
+#include "MFEMProblem.h"
+
+registerMooseObject("MooseApp", MFEMGeneralUserObject);
+
+InputParameters
+MFEMGeneralUserObject::validParams()
+{
+  InputParameters params = GeneralUserObject::validParams();
+  params.addClassDescription("Base class for custom GeneralUserObjects to add to MFEM problems.");
+  return params;
+}
+
+MFEMGeneralUserObject::MFEMGeneralUserObject(const InputParameters & parameters)
+  : GeneralUserObject(parameters), _mfem_problem(static_cast<MFEMProblem &>(_fe_problem))
+{
+}
+
+mfem::Coefficient &
+MFEMGeneralUserObject::getScalarProperty(const std::string & name)
+{
+  return getMFEMProblem().getProperties().getScalarProperty(name);
+}
+
+mfem::VectorCoefficient &
+MFEMGeneralUserObject::getVectorProperty(const std::string & name)
+{
+  return getMFEMProblem().getProperties().getVectorProperty(name);
+}
+
+mfem::MatrixCoefficient &
+MFEMGeneralUserObject::getMatrixProperty(const std::string & name)
+{
+  return getMFEMProblem().getProperties().getMatrixProperty(name);
+}
+
+#endif
diff --git a/framework/src/mfem/utils/PropertyManager.C b/framework/src/mfem/utils/PropertyManager.C
new file mode 100644
index 000000000000..6cb2d1fed740
--- /dev/null
+++ b/framework/src/mfem/utils/PropertyManager.C
@@ -0,0 +1,151 @@
+#ifdef MFEM_ENABLED
+
+#include "PropertyManager.h"
+#include "MooseError.h"
+#include <algorithm>
+
+namespace platypus
+{
+
+template <class T, class Tpw>
+inline void
+declareCoefficient(PropertyMap<T, Tpw> & map,
+                   const std::string & name,
+                   const std::vector<std::string> & blocks,
+                   std::shared_ptr<T> coef,
+                   const ObjectManager<T> &)
+{
+  if (blocks.empty())
+  {
+    map.addProperty(name, coef);
+  }
+  else
+  {
+    map.addPiecewiseBlocks(name, coef, blocks);
+  }
+}
+
+void
+PropertyManager::declareScalar(const std::string & name, std::shared_ptr<mfem::Coefficient> coef)
+{
+  this->declareScalar(name, std::vector<std::string>(), coef);
+}
+
+void
+PropertyManager::declareScalar(const std::string & name,
+                               PropertyManager::global_t,
+                               std::shared_ptr<mfem::Coefficient> coef)
+{
+  this->declareScalar(name, std::vector<std::string>(), coef);
+}
+
+void
+PropertyManager::declareScalar(const std::string & name,
+                               const std::vector<std::string> & blocks,
+                               std::shared_ptr<mfem::Coefficient> coef)
+{
+  declareCoefficient(this->_scalar_coeffs, name, blocks, coef, this->_scalar_manager);
+}
+
+void
+PropertyManager::declareVector(const std::string & name,
+                               std::shared_ptr<mfem::VectorCoefficient> coef)
+{
+  this->declareVector(name, std::vector<std::string>(), coef);
+}
+
+void
+PropertyManager::declareVector(const std::string & name,
+                               PropertyManager::global_t,
+                               std::shared_ptr<mfem::VectorCoefficient> coef)
+{
+  this->declareVector(name, std::vector<std::string>(), coef);
+}
+
+void
+PropertyManager::declareVector(const std::string & name,
+                               const std::vector<std::string> & blocks,
+                               std::shared_ptr<mfem::VectorCoefficient> coef)
+{
+  declareCoefficient(this->_vector_coeffs, name, blocks, coef, this->_vector_manager);
+}
+
+void
+PropertyManager::declareMatrix(const std::string & name,
+                               std::shared_ptr<mfem::MatrixCoefficient> coef)
+{
+  this->declareMatrix(name, std::vector<std::string>(), coef);
+}
+
+void
+PropertyManager::declareMatrix(const std::string & name,
+                               PropertyManager::global_t,
+                               std::shared_ptr<mfem::MatrixCoefficient> coef)
+{
+  this->declareMatrix(name, std::vector<std::string>(), coef);
+}
+
+void
+PropertyManager::declareMatrix(const std::string & name,
+                               const std::vector<std::string> & blocks,
+                               std::shared_ptr<mfem::MatrixCoefficient> coef)
+{
+  declareCoefficient(this->_matrix_coeffs, name, blocks, coef, this->_matrix_manager);
+}
+
+mfem::Coefficient &
+PropertyManager::getScalarProperty(const std::string & name)
+{
+  return this->_scalar_coeffs.getCoefficient(name);
+}
+
+mfem::VectorCoefficient &
+PropertyManager::getVectorProperty(const std::string & name)
+{
+  return this->_vector_coeffs.getCoefficient(name);
+}
+
+mfem::MatrixCoefficient &
+PropertyManager::getMatrixProperty(const std::string & name)
+{
+  return this->_matrix_coeffs.getCoefficient(name);
+}
+
+std::shared_ptr<mfem::Coefficient>
+PropertyManager::getScalarPropertyPtr(const std::string & name)
+{
+  return this->_scalar_coeffs.getCoefficientPtr(name);
+}
+
+std::shared_ptr<mfem::VectorCoefficient>
+PropertyManager::getVectorPropertyPtr(const std::string & name)
+{
+  return this->_vector_coeffs.getCoefficientPtr(name);
+}
+
+std::shared_ptr<mfem::MatrixCoefficient>
+PropertyManager::getMatrixPropertyPtr(const std::string & name)
+{
+  return this->_matrix_coeffs.getCoefficientPtr(name);
+}
+
+bool
+PropertyManager::scalarIsDefined(const std::string & name, const std::string & block) const
+{
+  return this->_scalar_coeffs.coefficientDefinedOnBlock(name, block);
+}
+
+bool
+PropertyManager::vectorIsDefined(const std::string & name, const std::string & block) const
+{
+  return this->_vector_coeffs.coefficientDefinedOnBlock(name, block);
+}
+
+bool
+PropertyManager::matrixIsDefined(const std::string & name, const std::string & block) const
+{
+  return this->_matrix_coeffs.coefficientDefinedOnBlock(name, block);
+}
+}
+
+#endif
diff --git a/framework/src/mfem/utils/property_map.C b/framework/src/mfem/utils/property_map.C
new file mode 100644
index 000000000000..5a6e574d41f0
--- /dev/null
+++ b/framework/src/mfem/utils/property_map.C
@@ -0,0 +1,57 @@
+#ifdef MFEM_ENABLED
+
+#include <property_map.h>
+
+namespace platypus
+{
+template <>
+VectorMap::PWData
+VectorMap::emptyPWData(std::shared_ptr<mfem::VectorCoefficient> coeff)
+{
+  return std::make_tuple(this->_manager.make<mfem::PWVectorCoefficient>(coeff->GetVDim()),
+                         std::map<const std::string, std::shared_ptr<mfem::VectorCoefficient>>());
+}
+
+template <>
+MatrixMap::PWData
+MatrixMap::emptyPWData(std::shared_ptr<mfem::MatrixCoefficient> coeff)
+{
+  return std::make_tuple(
+      this->_manager.make<mfem::PWMatrixCoefficient>(coeff->GetHeight(), coeff->GetWidth()),
+      std::map<const std::string, std::shared_ptr<mfem::MatrixCoefficient>>());
+}
+
+template <>
+void
+VectorMap::checkPWData(std::shared_ptr<mfem::VectorCoefficient> coeff,
+                       std::shared_ptr<mfem::PWVectorCoefficient> existing_pw,
+                       const std::string & name)
+{
+  const int new_dim = coeff->GetVDim(), old_dim = existing_pw->GetVDim();
+  if (new_dim != old_dim)
+  {
+    throw MooseException("Trying to assign vector of dimension " + std::to_string(new_dim) +
+                         " to property '" + name + "' with dimension dimension " +
+                         std::to_string(old_dim));
+  }
+}
+
+template <>
+void
+MatrixMap::checkPWData(std::shared_ptr<mfem::MatrixCoefficient> coeff,
+                       std::shared_ptr<mfem::PWMatrixCoefficient> existing_pw,
+                       const std::string & name)
+{
+  const int new_height = coeff->GetHeight(), new_width = coeff->GetWidth(),
+            old_height = existing_pw->GetHeight(), old_width = existing_pw->GetWidth();
+  if (new_height != old_height || new_width != old_width)
+  {
+    throw MooseException("Trying to assign matrix with dimensions (" + std::to_string(new_height) +
+                         ", " + std::to_string(new_width) + ") to property '" + name +
+                         "' with dimensions (" + std::to_string(old_height) + ", " +
+                         std::to_string(old_width) + ")");
+  }
+}
+}
+
+#endif
diff --git a/framework/src/mfem/variables/MFEMVariable.C b/framework/src/mfem/variables/MFEMVariable.C
new file mode 100644
index 000000000000..b69fae4ef4df
--- /dev/null
+++ b/framework/src/mfem/variables/MFEMVariable.C
@@ -0,0 +1,40 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMVariable.h"
+#include "MooseVariableBase.h"
+#include "libmesh/ignore_warnings.h"
+#include <mfem.hpp>
+#include "libmesh/restore_warnings.h"
+
+registerMooseObject("MooseApp", MFEMVariable);
+
+InputParameters
+MFEMVariable::validParams()
+{
+  InputParameters params = MFEMGeneralUserObject::validParams();
+  // Create user-facing 'boundary' input for restricting inheriting object to boundaries.
+  params.addRequiredParam<UserObjectName>("fespace",
+                                          "The finite element space this variable is defined on.");
+  // Require moose variable parameters (not used!)
+  params += MooseVariableBase::validParams();
+  params.addClassDescription(
+      "Class for adding MFEM variables to the problem (`mfem::ParGridFunction`s).");
+  params.registerBase("MooseVariableBase");
+  return params;
+}
+
+MFEMVariable::MFEMVariable(const InputParameters & parameters)
+  : MFEMGeneralUserObject(parameters),
+    _fespace(getUserObject<MFEMFESpace>("fespace")),
+    _gridfunction(buildGridFunction())
+{
+  *_gridfunction = 0.0;
+}
+
+const std::shared_ptr<mfem::ParGridFunction>
+MFEMVariable::buildGridFunction()
+{
+  return std::make_shared<mfem::ParGridFunction>(_fespace.getFESpace().get());
+}
+
+#endif
diff --git a/python/TestHarness/TestHarness.py b/python/TestHarness/TestHarness.py
index a4f010664964..6d4e0b236bac 100644
--- a/python/TestHarness/TestHarness.py
+++ b/python/TestHarness/TestHarness.py
@@ -334,6 +334,8 @@ def __init__(self, argv: list, moose_dir: str, moose_python: str, test_root: Tes
             checks['libpng'] = set(['ALL'])
             checks['libtorch'] = set(['ALL'])
             checks['libtorch_version'] = 'N/A'
+            checks['mfem'] = set(['ALL'])
+            checks['mfem_version'] = 'N/A'
         else:
             checks['compiler'] = util.getCompilers(self.libmesh_dir)
             checks['petsc_version'] = util.getPetscVersion(self.libmesh_dir)
@@ -367,6 +369,8 @@ def __init__(self, argv: list, moose_dir: str, moose_python: str, test_root: Tes
             checks['libpng'] = util.getMooseConfigOption(self.moose_dir, 'libpng')
             checks['libtorch'] = util.getMooseConfigOption(self.moose_dir, 'libtorch')
             checks['libtorch_version'] = util.getLibtorchVersion(self.moose_dir)
+            checks['mfem'] = util.getMooseConfigOption(self.moose_dir, 'mfem')
+            checks['mfem_version'] = util.getMfemVersion(self.moose_dir)
 
         # Override the MESH_MODE option if using the '--distributed-mesh'
         # or (deprecated) '--parallel-mesh' option.
diff --git a/python/TestHarness/testers/Tester.py b/python/TestHarness/testers/Tester.py
index 402cba373b5d..801a91902936 100644
--- a/python/TestHarness/testers/Tester.py
+++ b/python/TestHarness/testers/Tester.py
@@ -84,6 +84,8 @@ def validParams():
         params.addParam('libpng',        ['ALL'], "A test that runs only if libpng is available ('ALL', 'TRUE', 'FALSE')")
         params.addParam('libtorch',      ['ALL'], "A test that runs only if libtorch is available ('ALL', 'TRUE', 'FALSE')")
         params.addParam('libtorch_version', ['ALL'], "A list of libtorch versions for which this test will run on, supports normal comparison operators ('<', '>', etc...)")
+        params.addParam('mfem', ['ALL'], "A test that runs only if mfem is available ('ALL', 'TRUE', 'FALSE')")
+        params.addParam('mfem_version', ['ALL'], "A list of mfem versions for which this test will run on, supports normal comparison operators ('<', '>', etc...)")
         params.addParam('installation_type',['ALL'], "A test that runs under certain executable installation configurations ('ALL', 'IN_TREE', 'RELOCATED')")
 
         params.addParam('depend_files',  [], "A test that only runs if all depend files exist (files listed are expected to be relative to the base directory, not the test directory")
@@ -611,12 +613,17 @@ def checkRunnableBase(self, options):
         if not libtorch_status:
             reasons['libtorch_version'] = 'using libtorch ' + str(checks['libtorch_version']) + ' REQ: ' + libtorch_version
 
+        # Check for mfem version
+        (mfem_status, mfem_version) = util.checkMfemVersion(checks, self.specs)
+        if not mfem_status:
+            reasons['mfem_version'] = 'using mfem ' + str(checks['mfem_version']) + ' REQ: ' + mfem_version
+
         # PETSc and SLEPc is being explicitly checked above
         local_checks = ['platform', 'machine', 'compiler', 'mesh_mode', 'method', 'library_mode', 'dtk',
                         'unique_ids', 'vtk', 'tecplot', 'petsc_debug', 'curl', 'superlu', 'mumps',
                         'strumpack', 'cxx11', 'asio', 'unique_id', 'slepc', 'petsc_version_release',
                         'boost', 'fparser_jit', 'parmetis', 'chaco', 'party', 'ptscotch',
-                        'threading', 'libpng', 'libtorch']
+                        'threading', 'libpng', 'libtorch', 'mfem']
 
         for check in local_checks:
             test_platforms = set()
diff --git a/python/TestHarness/util.py b/python/TestHarness/util.py
index 117a066cba14..10c653c81cf3 100644
--- a/python/TestHarness/util.py
+++ b/python/TestHarness/util.py
@@ -37,7 +37,18 @@
     },
 
     'libtorch_dir' : { 're_option' : r'#define\s+MOOSE_LIBTORCH_DIR\s+(.*)',
-                       'default'  : '/framework/contrib/libtorch'}
+                       'default'  : '/framework/contrib/libtorch'},
+
+    'mfem' :    { 're_option' : r'#define\s+MOOSE_MFEM_ENABLED\s+(\d+)',
+                    'default'   : 'FALSE',
+                    'options'   :
+                    { 'TRUE'    : '1',
+                      'FALSE'   : '0'
+                    }
+    },
+
+    'mfem_dir' : { 're_option' : r'#define\s+MOOSE_MFEM_DIR\s+(.*)',
+                       'default'  : '/framework/contrib/mfem'}
 }
 
 
@@ -203,9 +214,13 @@
       'libtorch_minor' :  { 're_option' : r'#define\s+TORCH_VERSION_MINOR\s+(\d+)',
                    'default'   : '10'
                  }
-
 }
 
+MFEM_OPTIONS = {
+      'mfem_version' :  { 're_option' : r'#define\s+MFEM_VERSION\s+(\d+)',
+                   'default'   : '40701'
+                 }
+}
 
 ## Run a command and return the output, or ERROR: + output if retcode != 0
 def runCommand(cmd, cwd=None):
@@ -462,7 +477,7 @@ def getSlepcVersion(libmesh_dir):
     major_version = getLibMeshConfigOption(libmesh_dir, 'slepc_major')
     minor_version = getLibMeshConfigOption(libmesh_dir, 'slepc_minor')
     subminor_version = getLibMeshConfigOption(libmesh_dir, 'slepc_subminor')
-    if len(major_version) != 1 or len(minor_version) != 1 or len(major_version) != 1:
+    if len(major_version) != 1 or len(minor_version) != 1 or len(subminor_version) != 1:
       return None
 
     return major_version.pop() + '.' + minor_version.pop() + '.' + subminor_version.pop()
@@ -479,7 +494,7 @@ def getVTKVersion(libmesh_dir):
     major_version = getLibMeshConfigOption(libmesh_dir, 'vtk_major')
     minor_version = getLibMeshConfigOption(libmesh_dir, 'vtk_minor')
     subminor_version = getLibMeshConfigOption(libmesh_dir, 'vtk_subminor')
-    if len(major_version) != 1 or len(minor_version) != 1 or len(major_version) != 1:
+    if len(major_version) != 1 or len(minor_version) != 1 or len(subminor_version) != 1:
       return None
 
     return major_version.pop() + '.' + minor_version.pop() + '.' + subminor_version.pop()
@@ -494,11 +509,29 @@ def getLibtorchVersion(moose_dir):
     major_version = getConfigOption(filenames, 'libtorch_major', LIBTORCH_OPTIONS)
     minor_version = getConfigOption(filenames, 'libtorch_minor', LIBTORCH_OPTIONS)
 
-    if len(major_version) != 1 or len(minor_version) != 1 or len(major_version) != 1:
+    if len(major_version) != 1 or len(minor_version) != 1:
       return None
 
     return major_version.pop() + '.' + minor_version.pop()
 
+def getMfemVersion(moose_dir):
+    mfem_dir = getMooseConfigOption(moose_dir, 'mfem_dir')
+
+    if len(mfem_dir) != 1:
+      return None
+
+    filenames = [mfem_dir.pop()+'/include/mfem/config/_config.hpp']
+    mfem_version_list = getConfigOption(filenames, 'mfem_version', MFEM_OPTIONS)
+    if len(mfem_version_list) != 1:
+        return None
+
+    mfem_version = int(mfem_version_list.pop())
+    major = mfem_version // 10000
+    minor = (mfem_version // 100) % 100
+    patch = mfem_version % 100
+
+    return str(major) + '.' + str(minor) + '.' + str(patch)
+
 def checkLogicVersionSingle(checks, iversion, package):
     logic, version = re.search(r'(.*?)\s*(\d\S+)', iversion).groups()
     if logic == '' or logic == '=':
@@ -607,6 +640,20 @@ def checkLibtorchVersion(checks, test):
 
     return (checkVersion(checks, version_string, 'libtorch_version'), version_string)
 
+# Break down mfem version logic in a new define
+def checkMfemVersion(checks, test):
+    version_string = ' '.join(test['mfem_version'])
+
+    # If any version of mfem works, return true immediately
+    if 'ALL' in set(test['mfem_version']):
+        return (True, version_string)
+
+    # mfem not installed or version could not be detected
+    if checks['mfem_version'] == None:
+       return (False, version_string)
+
+    return (checkVersion(checks, version_string, 'mfem_version'), version_string)
+
 
 def getIfAsioExists(moose_dir):
     option_set = set(['ALL'])
diff --git a/scripts/apptainer_generator.py b/scripts/apptainer_generator.py
index 8684751b8011..b81785c67105 100755
--- a/scripts/apptainer_generator.py
+++ b/scripts/apptainer_generator.py
@@ -628,11 +628,14 @@ def add_definition_vars(self, jinja_data):
                 jinja_data[jinja_var] = kv_pairs[var]
 
         # Set petsc and libmesh versions
-        need_versions = {'petsc': {'package': 'petsc', 'submodule': 'petsc'},
-                         'libmesh': {'package': 'libmesh', 'submodule': 'libmesh'},
-                         'moose-dev': {'package': 'wasp', 'submodule': 'framework/contrib/wasp'}}
-        for library, package_info in need_versions.items():
-            if library == self.args.library:
+        need_versions = {'petsc': [{'package': 'petsc', 'submodule': 'petsc'}],
+                         'libmesh': [{'package': 'libmesh', 'submodule': 'libmesh'}],
+                         'moose-dev': [{'package': 'conduit', 'submodule': 'framework/contrib/conduit'},
+                                       {'package': 'mfem', 'submodule': 'framework/contrib/mfem'},
+                                       {'package': 'wasp', 'submodule': 'framework/contrib/wasp'}]}
+        needed = need_versions.get(self.args.library)
+        if needed is not None:
+            for package_info in needed:
                 package = package_info['package']
                 submodule = package_info['submodule']
 
diff --git a/scripts/update_and_rebuild_mfem.sh b/scripts/update_and_rebuild_mfem.sh
new file mode 100755
index 000000000000..afb5271d11c6
--- /dev/null
+++ b/scripts/update_and_rebuild_mfem.sh
@@ -0,0 +1,121 @@
+#!/usr/bin/env bash
+#* This file is part of the MOOSE framework
+#* https://www.mooseframework.org
+#*
+#* All rights reserved, see COPYRIGHT for full restrictions
+#* https://github.com/idaholab/moose/blob/master/COPYRIGHT
+#*
+#* Licensed under LGPL 2.1, please see LICENSE for details
+#* https://www.gnu.org/licenses/lgpl-2.1.html
+
+SCRIPT_DIR="$( cd "$( dirname "${BASH_SOURCE[0]}" )" && pwd )"
+
+for i in "$@"
+do
+  shift
+  if [[ "$i" == "-h" || "$i" == "--help" ]]; then
+    help=1;
+  fi
+
+  if [ "$i" == "--skip-submodule-update" ]; then
+    skip_sub_update=1;
+  else # Remove everything else before passing to cmake
+    set -- "$@" "$i"
+  fi
+done
+
+# Display help
+if [ -n "$help" ]; then
+  echo "Usage: $0 [-h | --help | --fast | --skip-submodule-update | <mfem cmake options> ]"
+  echo
+  echo "-h | --help              Display this message and list of available libmesh options"
+  echo "--skip-submodule-update  Do not update the libMesh submodule, use the current version"
+  echo
+  echo "Influential variables"
+  echo "CONDUIT_SRC_DIR          Path to conduit; default: ../framework/contrib/conduit from submodule"
+  echo "LIBMESH_DIR              Path to libmesh (for netcdf); default ../libmesh/installed"
+  echo "MFEM_DIR                 MFEM install prefix; default: ../framework/contrib/mfem/installed"
+  echo "MFEM_SRC_DIR             Path to MFEM source; default: ../framework/contrib/mfem from submodule"
+  echo "PETSC_ARCH               PETSc arch; default: arch-moose if PETSC_DIR not set"
+  echo "PETSC_DIR                Path to PETSc install; default: ../petsc"
+  exit 0
+fi
+
+set -e
+
+if [ -n "$MFEM_SRC_DIR" ]; then
+  skip_sub_update=1
+else
+  MFEM_SRC_DIR="$(realpath -m "${SCRIPT_DIR}"/../framework/contrib/mfem)"
+fi
+MFEM_BUILD_DIR="${MFEM_SRC_DIR}/build"
+if [ -n "$MFEM_DIR" ]; then
+  echo "INFO: MFEM_DIR set - overriding default installed path"
+  echo "INFO: No cleaning will be done in specified path"
+else
+  MFEM_DIR="${MFEM_SRC_DIR}/installed"
+  rm -rf "$MFEM_DIR"
+fi
+
+CONDUIT_BUILD_DIR="${CONDUIT_SRC_DIR}/build"
+LIBMESH_DIR=${LIBMESH_DIR:-$(realpath -m "${SCRIPT_DIR}/../libmesh/installed")}
+if [ -z "$PETSC_DIR" ]; then
+  PETSC_DIR=$(realpath -m "${SCRIPT_DIR}/../petsc/arch-moose")
+fi
+
+if [ -z "$skip_sub_update" ]; then
+  cd "${SCRIPT_DIR}/.."
+  git submodule update --init --checkout framework/contrib/conduit
+  git submodule update --init --checkout framework/contrib/mfem
+  cd framework/contrib/conduit
+  git submodule update --init
+fi
+
+# Clean up old builds
+rm -rf "$CONDUIT_BUILD_DIR" "$MFEM_BUILD_DIR"
+
+# Build and install conduit
+mkdir -p "$CONDUIT_BUILD_DIR"
+cd "$CONDUIT_BUILD_DIR"
+cmake ../src -DCMAKE_INSTALL_PREFIX="$MFEM_DIR"
+make -j "${MOOSE_JOBS:-4}"
+make install
+
+# Build and install mfem
+mkdir -p "$MFEM_BUILD_DIR"
+cd "$MFEM_BUILD_DIR"
+cmake .. \
+    -DCMAKE_POSITION_INDEPENDENT_CODE=YES \
+    -DMFEM_USE_OPENMP=NO \
+    -DMFEM_THREAD_SAFE=NO \
+    -DHYPRE_DIR="$PETSC_DIR" \
+    -DPETSC_DIR="$PETSC_DIR" \
+    -DMFEM_USE_MPI=YES \
+    -DMFEM_USE_METIS=YES \
+    -DMFEM_USE_METIS_5=YES \
+    -DMETIS_DIR="$PETSC_DIR" \
+    -DParMETIS_DIR="$PETSC_DIR" \
+    -DMFEM_USE_SUPERLU=YES \
+    -DSuperLUDist_DIR="$PETSC_DIR" \
+    -DBUILD_SHARED_LIBS=ON \
+    -DHDF5_DIR="$PETSC_DIR" \
+    -DBLAS_DIR="$PETSC_DIR" \
+    -DMFEM_ENABLE_EXAMPLES=yes \
+    -DMFEM_ENABLE_MINIAPPS=yes \
+    -DBLAS_LIBRARIES="$PETSC_DIR/lib/libfblas.a" \
+    -DLAPACK_LIBRARIES="$PETSC_DIR/lib/libflapack.a" \
+    -DBLAS_INCLUDE_DIRS="$PETSC_DIR/include" \
+    -DLAPACK_INCLUDE_DIRS="$PETSC_DIR/include" \
+    -DCMAKE_INSTALL_PREFIX="$MFEM_DIR" \
+    -DMFEM_USE_PETSC=YES \
+    -DPETSC_DIR="$PETSC_DIR" \
+    -DPETSC_ARCH="$PETSC_ARCH" \
+    -DCMAKE_C_COMPILER=mpicc \
+    -DMFEM_USE_NETCDF=YES \
+    -DNETCDF_DIR="$LIBMESH_DIR" \
+    -DCMAKE_EXPORT_COMPILE_COMMANDS=ON \
+    -DMFEM_USE_CONDUIT=YES \
+    -DCONDUIT_DIR="$MFEM_DIR" \
+    "$@"
+make -j "${MOOSE_JOBS:-4}"
+make install
diff --git a/scripts/versioner.yaml b/scripts/versioner.yaml
index 13cc3a1c8a41..7a5a27c9f0cc 100644
--- a/scripts/versioner.yaml
+++ b/scripts/versioner.yaml
@@ -73,7 +73,9 @@ packages:
       - apptainer/files/moose-dev
       - conda/moose-dev/meta.yaml
       - conda/moose-dev/conda_build_config.yaml
+      - framework/contrib/mfem
       - scripts/setup_libtorch.sh
+      - scripts/update_and_rebuild_mfem.sh
   libmesh-vtk:
     dependencies:
       - mpi
diff --git a/test/tests/mfem/gpu-conduction/mesh.i b/test/tests/mfem/gpu-conduction/mesh.i
new file mode 100644
index 000000000000..2184981710cc
--- /dev/null
+++ b/test/tests/mfem/gpu-conduction/mesh.i
@@ -0,0 +1,352 @@
+pin_radius = 1
+hp_radius = 1.1
+gap_thickness = 0.05
+pin_pitch = 3.4
+asy_pitch = 32
+monolith_pitch = 150
+canister_diameter = 224
+drum_radius = 15
+poison_thickness = 1
+
+# Block and material IDs
+uo2_11 = 1
+uo2_12 = 2
+uo2_13 = 3
+uo2_21 = 4
+uo2_22 = 5
+uo2_23 = 6
+monolith_11 = 7
+monolith_12 = 8
+monolith_13 = 9
+monolith_21 = 10
+monolith_22 = 11
+monolith_23 = 12
+monolith_lr = 13
+monolith_ur = 14
+monolith_rr = 15
+monolith_cr = 16
+htpipe = 17
+absorber = 18
+strip = 181
+gap = 19
+gap_uo2 = 191
+gap_htpipe = 192
+gap_reflector = 193
+gap_drum = 194
+reflector = 20
+
+uo2_11_tri = 100
+uo2_12_tri = 200
+uo2_13_tri = 300
+uo2_21_tri = 400
+uo2_22_tri = 500
+uo2_23_tri = 600
+monolith_lr_tri = 1300
+monolith_ur_tri = 1400
+monolith_rr_tri = 1500
+monolith_cr_tri = 1600
+reflector_tri = 2000
+
+[Mesh]
+  [fuel_inner]
+    type = PolygonConcentricCircleMeshGenerator
+    num_sides = 6
+    num_sectors_per_side = '2 2 2 2 2 2'
+    background_intervals = 1
+    background_block_ids = '${monolith_11}'
+    polygon_size = ${fparse pin_pitch / 2}
+    polygon_size_style = 'apothem'
+    ring_id_name = 'ring_id'
+    ring_id_assign_type = ring_wise
+    ring_radii = '${pin_radius} ${fparse pin_radius + gap_thickness}'
+    ring_intervals = '3 1'
+    ring_block_ids = '${uo2_11_tri} ${uo2_11} ${gap_uo2}'
+  []
+  [fuel_outer]
+    type = PolygonConcentricCircleMeshGenerator
+    num_sides = 6
+    num_sectors_per_side = '2 2 2 2 2 2'
+    background_intervals = 1
+    background_block_ids = '${monolith_21}'
+    polygon_size = ${fparse pin_pitch / 2}
+    polygon_size_style = 'apothem'
+    ring_id_name = 'ring_id'
+    ring_id_assign_type = ring_wise
+    ring_radii = '${pin_radius} ${fparse pin_radius + gap_thickness}'
+    ring_intervals = '3 1'
+    ring_block_ids = '${uo2_21_tri} ${uo2_21} ${gap_uo2}'
+  []
+  [hp_inner]
+    type = PolygonConcentricCircleMeshGenerator
+    num_sides = 6
+    num_sectors_per_side = '2 2 2 2 2 2'
+    background_intervals = 1
+    background_block_ids = '${monolith_11}'
+    polygon_size = ${fparse pin_pitch / 2}
+    polygon_size_style = apothem
+    ring_radii = '${hp_radius} ${fparse hp_radius + gap_thickness}'
+    ring_intervals = '1 1'
+    ring_block_ids = '${htpipe} ${gap_htpipe}'
+  []
+  [hp_outer]
+    type = PolygonConcentricCircleMeshGenerator
+    num_sides = 6
+    num_sectors_per_side = '2 2 2 2 2 2'
+    background_intervals = 1
+    background_block_ids = '${monolith_21}'
+    polygon_size = ${fparse pin_pitch / 2}
+    polygon_size_style = apothem
+    ring_radii = '${hp_radius} ${fparse hp_radius + gap_thickness}'
+    ring_intervals = '1 1'
+    ring_block_ids = '${htpipe} ${gap_htpipe}'
+  []
+  [solid]
+    type = PolygonConcentricCircleMeshGenerator
+    num_sides = 6
+    num_sectors_per_side = '2 2 2 2 2 2'
+    background_intervals = 3
+    background_block_ids = '${monolith_cr_tri} ${monolith_cr}'
+    polygon_size = ${fparse pin_pitch / 2}
+    polygon_size_style = apothem
+  []
+  [assembly_inner]
+    type = PatternedHexMeshGenerator
+    inputs = 'fuel_inner hp_inner'
+    background_intervals = 1
+    background_block_id = ${monolith_11}
+    hexagon_size = ${fparse asy_pitch / 2}
+    hexagon_size_style = apothem
+    id_name = 'local_pin_id'
+    pattern = '0 0 0 0 0 0;
+              0 1 0 1 0 1 0;
+             0 0 0 0 0 0 0 0;
+            0 1 0 1 0 1 0 1 0;
+           0 0 0 0 0 0 0 0 0 0;
+          0 1 0 1 0 1 0 1 0 1 0;
+           0 0 0 0 0 0 0 0 0 0;
+            0 1 0 1 0 1 0 1 0;
+             0 0 0 0 0 0 0 0;
+              0 1 0 1 0 1 0;
+               0 0 0 0 0 0'
+  []
+  [assembly_outer]
+    type = PatternedHexMeshGenerator
+    inputs = 'fuel_outer hp_outer'
+    background_intervals = 1
+    background_block_id = ${monolith_21}
+    hexagon_size = ${fparse asy_pitch / 2}
+    hexagon_size_style = apothem
+    id_name = 'local_pin_id'
+    pattern = '0 0 0 0 0 0;
+              0 1 0 1 0 1 0;
+             0 0 0 0 0 0 0 0;
+            0 1 0 1 0 1 0 1 0;
+           0 0 0 0 0 0 0 0 0 0;
+          0 1 0 1 0 1 0 1 0 1 0;
+           0 0 0 0 0 0 0 0 0 0;
+            0 1 0 1 0 1 0 1 0;
+             0 0 0 0 0 0 0 0;
+              0 1 0 1 0 1 0;
+               0 0 0 0 0 0'
+  []
+  [block]
+    type = PatternedHexMeshGenerator
+    inputs = 'solid'
+    background_intervals = 1
+    background_block_id = ${monolith_cr}
+    hexagon_size = ${fparse asy_pitch / 2}
+    hexagon_size_style = apothem
+    pattern = '0 0 0 0 0 0;
+              0 0 0 0 0 0 0;
+             0 0 0 0 0 0 0 0;
+            0 0 0 0 0 0 0 0 0;
+           0 0 0 0 0 0 0 0 0 0;
+          0 0 0 0 0 0 0 0 0 0 0;
+           0 0 0 0 0 0 0 0 0 0;
+            0 0 0 0 0 0 0 0 0;
+             0 0 0 0 0 0 0 0;
+              0 0 0 0 0 0 0;
+               0 0 0 0 0 0'
+  []
+  [core]
+    type = PatternedHexMeshGenerator
+    inputs = 'assembly_outer assembly_inner block'
+    id_name = 'assembly_id assembly_ring_id'
+    assign_type = 'cell pattern'
+    exclude_id = 'block'
+    pattern = '0 0 0;
+              0 1 1 0;
+             0 1 2 1 0;
+              0 1 1 0;
+               0 0 0'
+    generate_core_metadata = true
+    pattern_boundary = none
+  []
+  [monolith_outer]
+    type = PolygonConcentricCircleMeshGenerator
+    num_sides = 6
+    num_sectors_per_side = '50 50 50 50 50 50'
+    background_block_ids = '${monolith_rr}'
+    duct_block_ids = '${gap_reflector}'
+    duct_intervals = '1'
+    duct_sizes = '${fparse monolith_pitch / 2}'
+    duct_sizes_style = apothem
+    polygon_size = ${fparse (monolith_pitch + gap_thickness) / 2}
+    polygon_size_style = apothem
+    quad_center_elements = true
+  []
+  [monolith_gap]
+    type = BlockDeletionGenerator
+    input = monolith_outer
+    block = '${monolith_rr}'
+    new_boundary = 'INNER'
+  []
+  [monolith_inner]
+    type = XYDelaunayGenerator
+    boundary = monolith_gap
+    holes = 'core'
+    stitch_holes = 'true'
+    refine_holes = 'false'
+    verify_holes = false
+    desired_area = 2
+    input_boundary_names = 'INNER'
+    output_boundary = 'SURFACE'
+    output_subdomain_name = '${monolith_rr_tri}'
+  []
+  [monolith]
+    type = StitchedMeshGenerator
+    inputs = 'monolith_inner monolith_gap'
+    stitch_boundaries_pairs = 'SURFACE INNER'
+  []
+  [periphery]
+    type = AdvancedConcentricCircleGenerator
+    ring_radii = '${fparse canister_diameter / 2}'
+    ring_intervals = '1'
+    num_sectors = 200
+  []
+  [reflector]
+    type = XYDelaunayGenerator
+    boundary = periphery
+    holes = 'monolith'
+    stitch_holes = 'true'
+    refine_holes = 'false'
+    verify_holes = false
+    desired_area = 2
+    output_subdomain_name = '${reflector_tri}'
+    output_boundary = 'outer'
+  []
+  [extrude]
+    type = AdvancedExtruderGenerator
+    input = reflector
+    heights = '20 30 100 30 20'
+    num_layers = '2 3 10 3 2'
+    direction = '0 0 1'
+    bottom_boundary = '102'
+    top_boundary = '103'
+    subdomain_swaps = '${uo2_11} ${monolith_lr} ${uo2_11_tri} ${monolith_lr_tri} ${uo2_21} ${monolith_lr} ${uo2_21_tri} ${monolith_lr_tri}
+                       ${monolith_11} ${monolith_lr} ${monolith_21} ${monolith_lr} ${monolith_cr} ${monolith_lr} ${monolith_cr_tri} ${monolith_lr_tri} ${monolith_rr_tri} ${monolith_lr_tri}
+                       ${htpipe} ${monolith_lr_tri}
+                       ${gap_uo2} ${monolith_lr} ${gap_htpipe} ${monolith_lr};
+                       ;
+                       ${uo2_11} ${uo2_12} ${uo2_11_tri} ${uo2_12_tri} ${uo2_21} ${uo2_22} ${uo2_21_tri} ${uo2_22_tri}
+                       ${monolith_11} ${monolith_12} ${monolith_21} ${monolith_22};
+                       ${uo2_11} ${uo2_13} ${uo2_11_tri} ${uo2_13_tri} ${uo2_21} ${uo2_23} ${uo2_21_tri} ${uo2_23_tri}
+                       ${monolith_11} ${monolith_13} ${monolith_21} ${monolith_23};
+                       ${uo2_11} ${monolith_ur} ${uo2_11_tri} ${monolith_ur_tri} ${uo2_21} ${monolith_ur} ${uo2_21_tri} ${monolith_ur_tri}
+                       ${monolith_11} ${monolith_ur} ${monolith_21} ${monolith_ur} ${monolith_cr} ${monolith_ur} ${monolith_cr_tri} ${monolith_ur_tri} ${monolith_rr_tri} ${monolith_ur_tri}
+                       ${gap_uo2} ${monolith_ur}'
+  []
+  [fuel_inner_sideset]
+    type = SideSetsBetweenSubdomainsGenerator
+    input = extrude
+    primary_block = '${uo2_11} ${uo2_12} ${uo2_13} ${uo2_21} ${uo2_22} ${uo2_23}'
+    paired_block = '${gap_uo2} ${gap_uo2} ${gap_uo2} ${gap_uo2} ${gap_uo2} ${gap_uo2}'
+    new_boundary = 'fuel_inner'
+  []
+  [fuel_outer_sideset]
+    type = SideSetsBetweenSubdomainsGenerator
+    input = fuel_inner_sideset
+    primary_block = '${monolith_11} ${monolith_12} ${monolith_13} ${monolith_21} ${monolith_22} ${monolith_23}'
+    paired_block = '${gap_uo2} ${gap_uo2} ${gap_uo2} ${gap_uo2} ${gap_uo2} ${gap_uo2}'
+    new_boundary = 'fuel_outer'
+  []
+  [htpipe_sideset]
+    type = SideSetsBetweenSubdomainsGenerator
+    input = fuel_outer_sideset
+    primary_block = '${monolith_11} ${monolith_12} ${monolith_13} ${monolith_21} ${monolith_22} ${monolith_23} ${monolith_ur}'
+    paired_block = '${gap_htpipe} ${gap_htpipe} ${gap_htpipe} ${gap_htpipe} ${gap_htpipe} ${gap_htpipe} ${gap_htpipe}'
+    new_boundary = 'htpipe'
+  []
+  [monolith_sideset]
+    type = SideSetsBetweenSubdomainsGenerator
+    input = htpipe_sideset
+    primary_block = '${monolith_lr_tri} ${monolith_rr_tri} ${monolith_ur_tri}'
+    paired_block = '${gap_reflector} ${gap_reflector} ${gap_reflector}'
+    new_boundary = 'monolith'
+  []
+  [reflector_sideset]
+    type = SideSetsBetweenSubdomainsGenerator
+    input = monolith_sideset
+    primary_block = '${reflector_tri}'
+    paired_block = '${gap_reflector}'
+    new_boundary = 'reflector'
+  []
+  [assign_material]
+    type = SubdomainExtraElementIDGenerator
+    input = reflector_sideset
+    subdomains = '${uo2_11} ${uo2_12} ${uo2_13} ${uo2_21} ${uo2_22} ${uo2_23}
+                  ${uo2_11_tri} ${uo2_12_tri} ${uo2_13_tri} ${uo2_21_tri} ${uo2_22_tri} ${uo2_23_tri}
+                  ${monolith_11} ${monolith_12} ${monolith_13} ${monolith_21} ${monolith_22} ${monolith_23}
+                  ${monolith_lr} ${monolith_ur} ${monolith_cr}
+                  ${monolith_lr_tri} ${monolith_ur_tri} ${monolith_rr_tri} ${monolith_cr_tri}
+                  ${htpipe}
+                  ${reflector_tri}
+                  ${gap_uo2} ${gap_htpipe} ${gap_reflector}'
+    extra_element_id_names = 'material_id'
+    extra_element_ids = '${uo2_11} ${uo2_12} ${uo2_13} ${uo2_21} ${uo2_22} ${uo2_23}
+                         ${uo2_11} ${uo2_12} ${uo2_13} ${uo2_21} ${uo2_22} ${uo2_23}
+                         ${monolith_11} ${monolith_12} ${monolith_13} ${monolith_21} ${monolith_22} ${monolith_23}
+                         ${monolith_lr} ${monolith_ur} ${monolith_cr}
+                         ${monolith_lr} ${monolith_ur} ${monolith_rr} ${monolith_cr}
+                         ${htpipe}
+                         ${reflector}
+                         ${gap} ${gap} ${gap}'
+  []
+  [finalize_block]
+    type = RenameBlockGenerator
+    input = assign_material
+    old_block = '${uo2_11} ${uo2_12} ${uo2_13} ${uo2_21} ${uo2_22} ${uo2_23}
+                 ${uo2_11_tri} ${uo2_12_tri} ${uo2_13_tri} ${uo2_21_tri} ${uo2_22_tri} ${uo2_23_tri}
+                 ${monolith_11} ${monolith_12} ${monolith_13} ${monolith_21} ${monolith_22} ${monolith_23}
+                 ${monolith_lr} ${monolith_ur} ${monolith_cr}
+                 ${monolith_lr_tri} ${monolith_ur_tri} ${monolith_rr_tri} ${monolith_cr_tri}
+                 ${htpipe}
+                 ${reflector_tri}
+                 ${gap_uo2} ${gap_htpipe} ${gap_reflector}'
+    new_block = 'FUEL_11 FUEL_12 FUEL_13 FUEL_21 FUEL_22 FUEL_23
+                 FUEL_TRI_11 FUEL_TRI_12 FUEL_TRI_13 FUEL_TRI_21 FUEL_TRI_22 FUEL_TRI_23
+                 MONOLITH MONOLITH MONOLITH MONOLITH MONOLITH MONOLITH
+                 REFLECTOR REFLECTOR MONOLITH
+                 REFLECTOR_TRI REFLECTOR_TRI MONOLITH_TRI MONOLITH_TRI
+                 HTPIPE
+                 REFLECTOR_TRI
+                 GAP GAP GAP'
+  []
+  [boundary]
+    type = RenameBoundaryGenerator
+    input = finalize_block
+    old_boundary = '102 103'
+    new_boundary = 'bottom top'
+  []
+  [scale]
+    type = TransformGenerator
+    input = boundary
+    transform = SCALE
+    vector_value = '0.01 0.01 0.01'
+  []
+  [delete]
+    type = BlockDeletionGenerator
+    input = scale
+    block = 'HTPIPE'
+  []
+[]
\ No newline at end of file
diff --git a/test/tests/mfem/gpu-conduction/mfem_conduction.i b/test/tests/mfem/gpu-conduction/mfem_conduction.i
new file mode 100644
index 000000000000..ee920f715909
--- /dev/null
+++ b/test/tests/mfem/gpu-conduction/mfem_conduction.i
@@ -0,0 +1,140 @@
+[Mesh]
+  type = MFEMMesh
+  file = 'mesh_in.e'
+  dim = 3
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[FESpaces]
+  [H1FESpace]
+    type = MFEMFESpace
+    fec_type = H1
+    fec_order = FIRST
+  []
+[]
+
+[Variables]
+  [T]
+    type = MFEMVariable
+    fespace = H1FESpace
+  []
+[]
+
+# [AuxVariables]
+#   [power_density]
+#     family = LAGRANGE
+#     order = FIRST
+#   []
+# []
+
+[ICs]
+  # [power]
+  #   type = ConstantIC
+  #   variable = power_density
+  #   value = 7675296.2525
+  #   block = 'FUEL_11 FUEL_12 FUEL_13 FUEL_21 FUEL_22 FUEL_23
+  #            FUEL_TRI_11 FUEL_TRI_12 FUEL_TRI_13 FUEL_TRI_21 FUEL_TRI_22 FUEL_TRI_23'
+  # []
+  [T_ic]
+    type = MFEMScalarIC
+    coefficient = T_ic_function
+    variable = T
+  []
+[]
+
+[Functions]
+  [T_ic_function]
+    type = ParsedFunction
+    expression = 1000
+  []
+[]
+
+[Kernels]
+  [conduction]
+    type = MFEMDiffusionKernel
+    variable = T
+    coefficient = thermal_conductivity
+  []
+  # [heat]
+  #   type = CoupledForce
+  #   variable = T
+  #   v = power_density
+  # []
+[]
+
+[Materials]
+  [fuel]
+    type = MFEMGenericConstantMaterial
+    block = 'FUEL_11 FUEL_12 FUEL_13 FUEL_21 FUEL_22 FUEL_23
+             FUEL_TRI_11 FUEL_TRI_12 FUEL_TRI_13 FUEL_TRI_21 FUEL_TRI_22 FUEL_TRI_23'
+    prop_names = 'thermal_conductivity'
+    prop_values = '1000'
+  []
+  [monolith]
+    type = MFEMGenericConstantMaterial
+    block = 'MONOLITH MONOLITH_TRI'
+    prop_names = 'thermal_conductivity'
+    prop_values = '1830'
+  []
+  [reflector]
+    type = MFEMGenericConstantMaterial
+    block = 'REFLECTOR REFLECTOR_TRI'
+    prop_names = 'thermal_conductivity'
+    prop_values = '200'
+  []
+  [gap]
+    type = MFEMGenericConstantMaterial
+    block = 'GAP'
+    prop_names = 'thermal_conductivity'
+    prop_values = '0.08'
+  []
+  [htpipe]
+    type = MFEMGenericConstantMaterial
+    prop_names = 'htpipe_tinf htpipe_htc'
+    prop_values = '800 372'
+  []
+  [bnd]
+    type = MFEMGenericConstantMaterial
+    prop_names = 'bnd_tinf bnd_htc'
+    prop_values = '300 30'
+  []
+[]
+
+[BCs]
+  [htpipe]
+    type = MFEMConvectiveHeatFluxBC
+    variable = T
+    boundary = 'htpipe'
+    T_infinity = htpipe_tinf
+    heat_transfer_coefficient = htpipe_htc
+  []
+  [convection]
+    type = MFEMConvectiveHeatFluxBC
+    variable = T
+    boundary = 'bottom top outer'
+    T_infinity = bnd_tinf
+    heat_transfer_coefficient = bnd_htc
+  []
+  # [radiation]
+  #   type = RadiativeHeatFluxBC
+  #   variable = T
+  #   boundary = 'bottom top outer'
+  #   Tinfinity = 300
+  #   boundary_emissivity = 0.7
+  # []
+[]
+
+[Solver]
+  type = MFEMHypreGMRES
+  preconditioner = boomeramg
+  l_tol = 1e-8
+  l_max_its = 1000
+[]
+
+[Executioner]
+  type = MFEMSteady
+  device = cpu
+[]
diff --git a/test/tests/mfem/kernels/curlcurl.i b/test/tests/mfem/kernels/curlcurl.i
new file mode 100644
index 000000000000..3836065252a1
--- /dev/null
+++ b/test/tests/mfem/kernels/curlcurl.i
@@ -0,0 +1,110 @@
+# Definite Maxwell problem solved with Nedelec elements of the first kind
+# based on MFEM Example 3.
+
+[Mesh]
+  type = MFEMMesh
+  file = gold/small_fichera.mesh
+  dim = 3
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[FESpaces]
+  [HCurlFESpace]
+    type = MFEMFESpace
+    fec_type = ND
+    fec_order = FIRST
+  []
+[]
+
+[Variables]
+  [e_field]
+    type = MFEMVariable
+    fespace = HCurlFESpace
+  []
+[]
+
+[Functions]
+  [exact_e_field]
+    type = ParsedVectorFunction
+    expression_x = 'sin(kappa * y)'
+    expression_y = 'sin(kappa * z)'
+    expression_z = 'sin(kappa * x)'
+
+    symbol_names = kappa
+    symbol_values = 3.1415926535
+  []
+
+  [forcing_field]
+    type = ParsedVectorFunction
+    expression_x = '(1. + kappa * kappa) * sin(kappa * y)'
+    expression_y = '(1. + kappa * kappa) * sin(kappa * z)'
+    expression_z = '(1. + kappa * kappa) * sin(kappa * x)'
+
+    symbol_names = kappa
+    symbol_values = 3.1415926535
+  []
+[]
+
+[BCs]
+  [tangential_E_bdr]
+    type = MFEMVectorFunctorTangentialDirichletBC
+    variable = e_field
+    boundary = '1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24'
+    vector_coefficient = exact_e_field
+  []
+[]
+
+[Materials]
+  [Substance]
+    type = MFEMGenericConstantMaterial
+    prop_names = one
+    prop_values = 1.0
+  []
+[]
+
+[Kernels]
+  [curlcurl]
+    type = MFEMCurlCurlKernel
+    variable = e_field
+    coefficient = one
+  []
+  [mass]
+    type = MFEMVectorFEMassKernel
+    variable = e_field
+    coefficient = one
+  []
+  [source]
+    type = MFEMVectorFEDomainLFKernel
+    variable = e_field
+    vector_coefficient = forcing_field
+  []    
+[]
+
+[Preconditioner]
+  [ams]
+    type = MFEMHypreAMS
+    fespace = HCurlFESpace
+  []
+[]
+
+[Solver]
+  type = MFEMHypreGMRES
+  preconditioner = ams
+  l_tol = 1e-6
+[]
+
+[Executioner]
+  type = MFEMSteady
+  device = cpu
+[]
+
+[Outputs]
+  [ParaViewDataCollection]
+    type = MFEMParaViewDataCollection
+    file_base = OutputData/CurlCurl
+    vtk_format = ASCII
+  []
+[]
diff --git a/test/tests/mfem/kernels/diffusion.i b/test/tests/mfem/kernels/diffusion.i
new file mode 100644
index 000000000000..aba095edf321
--- /dev/null
+++ b/test/tests/mfem/kernels/diffusion.i
@@ -0,0 +1,97 @@
+[Mesh]
+  type = MFEMMesh
+  file = gold/mug.e
+  dim = 3
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[FESpaces]
+  [H1FESpace]
+    type = MFEMFESpace
+    fec_type = H1
+    fec_order = FIRST
+  []
+[]
+
+[Variables]
+  [diffused]
+    type = MFEMVariable
+    fespace = H1FESpace
+  []
+[]
+
+[ICs]
+  [diffused_ic]
+    type = MFEMScalarIC
+    coefficient = one
+    variable = diffused
+  []
+[]
+
+[Functions]
+  [one]
+    type = ParsedFunction
+    expression = 1.0
+  []
+[]
+
+[BCs]
+  [bottom]
+    type = MFEMScalarDirichletBC
+    variable = diffused
+    boundary = 'bottom'
+    value = 1.0
+  []
+  [low_terminal]
+    type = MFEMScalarDirichletBC
+    variable = diffused
+    boundary = 'top'
+    value = 0.0
+  []
+[]
+
+[Materials]
+  [Substance]
+    type = MFEMGenericConstantMaterial
+    prop_names = diffusivity
+    prop_values = 1.0
+    block = 'the_domain'
+  []
+[]
+
+[Kernels]
+  [diff]
+    type = MFEMDiffusionKernel
+    variable = diffused
+    coefficient = diffusivity
+  []
+[]
+
+[Preconditioner]
+  [boomeramg]
+    type = MFEMHypreBoomerAMG
+  []
+[]
+
+[Solver]
+  type = MFEMHypreGMRES
+  preconditioner = boomeramg
+  l_tol = 1e-16
+  l_max_its = 1000
+[]
+
+[Executioner]
+  type = MFEMSteady
+  device = cpu
+[]
+
+[Outputs]
+  [ParaViewDataCollection]
+    type = MFEMParaViewDataCollection
+    file_base = OutputData/Diffusion
+    vtk_format = ASCII
+  []
+[]
diff --git a/test/tests/mfem/kernels/diffusion_partial.i b/test/tests/mfem/kernels/diffusion_partial.i
new file mode 100644
index 000000000000..68c3d45b4e66
--- /dev/null
+++ b/test/tests/mfem/kernels/diffusion_partial.i
@@ -0,0 +1,82 @@
+[Mesh]
+  type = MFEMMesh
+  file = gold/mug.e
+  dim = 3
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[FESpaces]
+  [H1FESpace]
+    type = MFEMFESpace
+    fec_type = H1
+    fec_order = FIRST
+  []
+[]
+
+[Variables]
+  [diffused]
+    type = MFEMVariable
+    fespace = H1FESpace
+  []
+[]
+
+[BCs]
+  [bottom]
+    type = MFEMScalarDirichletBC
+    variable = diffused
+    boundary = '1'
+    value = 1.0
+  []
+  [low_terminal]
+    type = MFEMScalarDirichletBC
+    variable = diffused
+    boundary = '2'
+    value = 0.0
+  []
+[]
+
+[Materials]
+  [Substance]
+    type = MFEMGenericConstantMaterial
+    prop_names = diffusivity
+    prop_values = 1.0
+  []
+[]
+
+[Kernels]
+  [diff]
+    type = MFEMDiffusionKernel
+    variable = diffused
+    coefficient = diffusivity
+  []
+[]
+
+[Preconditioner]
+  [jacobi]
+    type = MFEMOperatorJacobiSmoother
+  []
+[]
+
+[Solver]
+  type = MFEMCGSolver
+  preconditioner = jacobi
+  l_tol = 1e-16
+  l_max_its = 1000
+  print_level = 2
+[]
+
+[Executioner]
+  type = MFEMSteady
+  assembly_level = partial
+[]
+
+[Outputs]
+  [ParaViewDataCollection]
+    type = MFEMParaViewDataCollection
+    file_base = OutputData/DiffusionPartial
+    vtk_format = ASCII
+  []
+[]
diff --git a/test/tests/mfem/kernels/gold/OutputData/CurlCurl/Run0/Cycle000000/data.pvtu b/test/tests/mfem/kernels/gold/OutputData/CurlCurl/Run0/Cycle000000/data.pvtu
new file mode 100644
index 000000000000..c0b759463cc5
--- /dev/null
+++ b/test/tests/mfem/kernels/gold/OutputData/CurlCurl/Run0/Cycle000000/data.pvtu
@@ -0,0 +1,20 @@
+<?xml version="1.0"?>
+<VTKFile type="PUnstructuredGrid" version ="0.1" byte_order="LittleEndian">
+<PUnstructuredGrid GhostLevel="0">
+<PPoints>
+	<PDataArray type="Float64"  Name="Points" NumberOfComponents="3" format="ascii"/>
+</PPoints>
+<PCells>
+	<PDataArray type="Int32"  Name="connectivity" NumberOfComponents="1" format="ascii"/>
+	<PDataArray type="Int32"  Name="offsets"      NumberOfComponents="1" format="ascii"/>
+	<PDataArray type="UInt8"  Name="types"        NumberOfComponents="1" format="ascii"/>
+</PCells>
+<PPointData>
+<PDataArray type="Float64" Name="e_field" NumberOfComponents="3" ComponentName0="0" ComponentName1="1" ComponentName2="2" format="ascii" />
+</PPointData>
+<PCellData>
+	<PDataArray type="Int32" Name="attribute" NumberOfComponents="1" format="ascii"/>
+</PCellData>
+<Piece Source="proc000000.vtu"/>
+</PUnstructuredGrid>
+</VTKFile>
diff --git a/test/tests/mfem/kernels/gold/OutputData/CurlCurl/Run0/Cycle000000/proc000000.vtu b/test/tests/mfem/kernels/gold/OutputData/CurlCurl/Run0/Cycle000000/proc000000.vtu
new file mode 100644
index 000000000000..dd9916f27c62
--- /dev/null
+++ b/test/tests/mfem/kernels/gold/OutputData/CurlCurl/Run0/Cycle000000/proc000000.vtu
@@ -0,0 +1,8986 @@
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
+<UnstructuredGrid>
+<Piece NumberOfPoints="3584" NumberOfCells="448">
+<Points>
+<DataArray type="Float64" NumberOfComponents="3" format="ascii">
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+0.25 -1 -1
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new file mode 100644
index 000000000000..c757f35d1918
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+++ b/test/tests/mfem/kernels/gold/OutputData/DiffusionPartial/Run0/Run0.pvd
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diff --git a/test/tests/mfem/kernels/gold/OutputData/GradDiv/Run0/Cycle000000/data.pvtu b/test/tests/mfem/kernels/gold/OutputData/GradDiv/Run0/Cycle000000/data.pvtu
new file mode 100644
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--- /dev/null
+++ b/test/tests/mfem/kernels/gold/OutputData/GradDiv/Run0/Cycle000000/data.pvtu
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diff --git a/test/tests/mfem/kernels/gold/OutputData/GradDiv/Run0/Cycle000000/proc000000.vtu b/test/tests/mfem/kernels/gold/OutputData/GradDiv/Run0/Cycle000000/proc000000.vtu
new file mode 100644
index 000000000000..3d8e412ebc70
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new file mode 100644
index 000000000000..7bb729942284
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diff --git a/test/tests/mfem/kernels/gold/OutputData/GradDiv/Run0/Cycle000001/proc000000.vtu b/test/tests/mfem/kernels/gold/OutputData/GradDiv/Run0/Cycle000001/proc000000.vtu
new file mode 100644
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index 000000000000..07465f1df55a
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new file mode 100644
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diff --git a/test/tests/mfem/kernels/gold/OutputData/LinearElasticity/Run0/Run0.pvd b/test/tests/mfem/kernels/gold/OutputData/LinearElasticity/Run0/Run0.pvd
new file mode 100644
index 000000000000..c757f35d1918
--- /dev/null
+++ b/test/tests/mfem/kernels/gold/OutputData/LinearElasticity/Run0/Run0.pvd
@@ -0,0 +1,7 @@
+<?xml version="1.0"?>
+<VTKFile type="Collection" version="0.1" byte_order="LittleEndian">
+<Collection>
+<DataSet timestep="0" group="" part="0" file="Cycle000000/data.pvtu" name="mesh"/>
+<DataSet timestep="1" group="" part="0" file="Cycle000001/data.pvtu" name="mesh"/>
+</Collection>
+</VTKFile>
diff --git a/test/tests/mfem/kernels/gold/beam-tet.mesh b/test/tests/mfem/kernels/gold/beam-tet.mesh
new file mode 100644
index 000000000000..f828cbf01a1b
--- /dev/null
+++ b/test/tests/mfem/kernels/gold/beam-tet.mesh
@@ -0,0 +1,177 @@
+MFEM mesh v1.0
+
+#
+# MFEM Geometry Types (see fem/geom.hpp):
+#
+# POINT       = 0
+# SEGMENT     = 1
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+# TETRAHEDRON = 4
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+#
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diff --git a/test/tests/mfem/kernels/gold/fichera.mesh b/test/tests/mfem/kernels/gold/fichera.mesh
new file mode 100644
index 000000000000..de5cc291084c
--- /dev/null
+++ b/test/tests/mfem/kernels/gold/fichera.mesh
@@ -0,0 +1,66683 @@
+MFEM mesh v1.0
+
+#
+# MFEM Geometry Types (see fem/geom.hpp):
+#
+# POINT       = 0
+# SEGMENT     = 1
+# TRIANGLE    = 2
+# SQUARE      = 3
+# TETRAHEDRON = 4
+# CUBE        = 5
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+#
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diff --git a/test/tests/mfem/kernels/gold/mug.e b/test/tests/mfem/kernels/gold/mug.e
new file mode 100644
index 000000000000..af9c3ac30ff0
Binary files /dev/null and b/test/tests/mfem/kernels/gold/mug.e differ
diff --git a/test/tests/mfem/kernels/gold/small_fichera.mesh b/test/tests/mfem/kernels/gold/small_fichera.mesh
new file mode 100644
index 000000000000..22f517e60d0e
--- /dev/null
+++ b/test/tests/mfem/kernels/gold/small_fichera.mesh
@@ -0,0 +1,1523 @@
+MFEM mesh v1.0
+
+#
+# MFEM Geometry Types (see fem/geom.hpp):
+#
+# POINT       = 0
+# SEGMENT     = 1
+# TRIANGLE    = 2
+# SQUARE      = 3
+# TETRAHEDRON = 4
+# CUBE        = 5
+# PRISM       = 6
+#
+
+dimension
+3
+
+elements
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diff --git a/test/tests/mfem/kernels/graddiv.i b/test/tests/mfem/kernels/graddiv.i
new file mode 100644
index 000000000000..d56cb07afbd5
--- /dev/null
+++ b/test/tests/mfem/kernels/graddiv.i
@@ -0,0 +1,115 @@
+# Grad-div problem using method of manufactured solutions,
+# based on MFEM Example 4.
+
+[Mesh]
+  type = MFEMMesh
+  file = gold/beam-tet.mesh
+  dim = 3
+  uniform_refine = 1
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[FESpaces]
+  [HDivFESpace]
+    type = MFEMFESpace
+    fec_type = RT
+    fec_order = CONSTANT
+    vdim = 1
+    ordering = "vdim"
+  []
+[]
+
+[Variables]
+  [F]
+    type = MFEMVariable
+    fespace = HDivFESpace
+  []
+[]
+
+[Functions]
+  [f]
+    type = ParsedVectorFunction
+    expression_x = '(1. + 2*kappa * kappa) * cos(kappa * x) * sin(kappa * y)'
+    expression_y = '(1. + 2*kappa * kappa) * cos(kappa * y) * sin(kappa * x)'
+    expression_z = '0'
+
+    symbol_names = kappa
+    symbol_values = 3.1415926535
+  []
+  [F_exact]
+    type = ParsedVectorFunction
+    expression_x = 'cos(kappa * x) * sin(kappa * y)'
+    expression_y = 'cos(kappa * y) * sin(kappa * x)'
+    expression_z = '0'
+
+    symbol_names = kappa
+    symbol_values = 3.1415926535
+  []
+[]
+
+[BCs]
+  [dirichlet]
+    type = MFEMVectorFunctorNormalDirichletBC
+    variable = F
+    boundary = '1 2 3'
+    vector_coefficient = F_exact
+  []
+[]
+
+[Materials]
+  [Beamium]
+    type = MFEMGenericConstantMaterial
+    prop_names = 'alpha beta'
+    prop_values = '1.0 1.0'
+    block = '1 2'
+  []
+[]
+
+[Kernels]
+  [divdiv]
+    type = MFEMDivDivKernel
+    variable = F
+    coefficient = alpha
+  []
+  [mass]
+    type = MFEMVectorFEMassKernel
+    variable = F
+    coefficient = beta
+  []
+  [source]
+    type = MFEMVectorFEDomainLFKernel
+    variable = F
+    vector_coefficient = f
+  []
+[]
+
+[Preconditioner]
+  [ADS]
+    type = MFEMHypreADS
+    fespace = HDivFESpace
+  []
+[]
+
+[Solver]
+  type = MFEMCGSolver
+  preconditioner = ADS
+  l_tol = 1e-16
+  l_max_its = 1000
+  print_level = 2
+[]
+
+[Executioner]
+  type = MFEMSteady
+  device = "cpu"
+[]
+
+[Outputs]
+  [ParaViewDataCollection]
+    type = MFEMParaViewDataCollection
+    file_base = OutputData/GradDiv
+    vtk_format = ASCII
+  []
+[]
diff --git a/test/tests/mfem/kernels/gravity.i b/test/tests/mfem/kernels/gravity.i
new file mode 100644
index 000000000000..e0f4ba8f10e6
--- /dev/null
+++ b/test/tests/mfem/kernels/gravity.i
@@ -0,0 +1,110 @@
+[Mesh]
+  type = MFEMMesh
+  file = gold/beam-tet.mesh
+  dim = 3
+  uniform_refine = 2
+  displacement = "displacement"
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[FESpaces]
+  [H1FESpace]
+    type = MFEMFESpace
+    fec_type = H1
+    fec_order = FIRST
+    vdim = 3
+    ordering = "vdim"
+  []
+[]
+
+[Variables]
+  [displacement]
+    type = MFEMVariable
+    fespace = H1FESpace
+  []
+[]
+
+[BCs]
+  [dirichlet]
+    type = MFEMVectorDirichletBC
+    variable = displacement
+    boundary = '1'
+    values = '0.0 0.0 0.0'
+  []
+[]
+
+[Materials]
+  [Rigidium]
+    type = MFEMGenericConstantMaterial
+    prop_names = 'lambda mu'
+    prop_values = '50.0 50.0'
+    block = 1
+  []
+  [Bendium]
+    type = MFEMGenericConstantMaterial
+    prop_names = 'lambda mu'
+    prop_values = '1.0 1.0'
+    block = 2
+  []
+  [RigidiumWeightDensity]
+    type = MFEMGenericConstantVectorMaterial
+    prop_names = 'gravitational_force_density'
+    prop_values = '0.0 0.0 -1e-2'
+    block = 1
+  []
+  [BendiumWeightDensity]
+    type = MFEMGenericConstantVectorMaterial
+    prop_names = 'gravitational_force_density'
+    prop_values = '0.0 0.0 -5e-3'
+    block = 2
+  []
+[]
+
+[Kernels]
+  [diff]
+    type = MFEMLinearElasticityKernel
+    variable = displacement
+    lambda = lambda
+    mu = mu
+  []
+  [gravity]
+    type = MFEMVectorDomainLFKernel
+    variable = displacement
+    vector_coefficient = gravitational_force_density
+  []
+[]
+
+[Preconditioner]
+  [boomeramg]
+    type = MFEMHypreBoomerAMG
+    fespace = H1FESpace
+    l_max_its = 20
+    l_tol = 1e-5
+    print_level = 2
+  []
+[]
+
+[Solver]
+  type = MFEMHyprePCG
+  preconditioner = boomeramg
+  l_max_its = 100
+  l_tol = 1e-4
+  l_abs_tol = 0.0
+  print_level = 2
+[]
+
+[Executioner]
+  type = MFEMSteady
+  device = "cpu"
+[]
+
+[Outputs]
+  [ParaViewDataCollection]
+    type = MFEMParaViewDataCollection
+    file_base = OutputData/Gravity
+    vtk_format = ASCII
+  []
+[]
diff --git a/test/tests/mfem/kernels/heatconduction.i b/test/tests/mfem/kernels/heatconduction.i
new file mode 100644
index 000000000000..995101e3138a
--- /dev/null
+++ b/test/tests/mfem/kernels/heatconduction.i
@@ -0,0 +1,89 @@
+[Mesh]
+  type = MFEMMesh
+  file = gold/mug.e
+  dim = 3
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[FESpaces]
+  [H1FESpace]
+    type = MFEMFESpace
+    fec_type = H1
+    fec_order = FIRST
+  []
+[]
+
+[Variables]
+  [temperature]
+    type = MFEMVariable
+    fespace = H1FESpace
+  []
+[]
+
+[BCs]
+  [bottom]
+    type = MFEMScalarDirichletBC
+    variable = temperature
+    boundary = '1'
+    value = 1.0
+  []
+  [low_terminal]
+    type = MFEMScalarDirichletBC
+    variable = temperature
+    boundary = '2'
+    value = 0.0
+  []
+[]
+
+[Materials]
+  [Substance]
+    type = MFEMGenericConstantMaterial
+    prop_names = 'thermal_conductivity volumetric_heat_capacity'
+    prop_values = '1.0 1.0'
+  []
+[]
+
+[Kernels]
+  [diff]
+    type = MFEMDiffusionKernel
+    variable = temperature
+    coefficient = thermal_conductivity
+  []
+  [dT_dt]
+    type = MFEMTimeDerivativeMassKernel
+    variable = temperature
+    coefficient = volumetric_heat_capacity
+  []
+[]
+
+[Preconditioner]
+  [boomeramg]
+    type = MFEMHypreBoomerAMG
+  []
+[]
+
+[Solver]
+  type = MFEMHypreGMRES
+  preconditioner = boomeramg
+  l_tol = 1e-16
+  l_max_its = 1000
+[]
+
+[Executioner]
+  type = MFEMTransient
+  device = cpu
+  dt = 0.25
+  start_time = 0.0
+  end_time = 1.0
+[]
+
+[Outputs]
+  [ParaViewDataCollection]
+    type = MFEMParaViewDataCollection
+    file_base = OutputData/HeatConduction
+    vtk_format = ASCII
+  []
+[]
diff --git a/test/tests/mfem/kernels/heatconduction_element.i b/test/tests/mfem/kernels/heatconduction_element.i
new file mode 100644
index 000000000000..1bfee6382b9a
--- /dev/null
+++ b/test/tests/mfem/kernels/heatconduction_element.i
@@ -0,0 +1,90 @@
+[Mesh]
+  type = MFEMMesh
+  file = gold/mug.e
+  dim = 3
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[FESpaces]
+  [H1FESpace]
+    type = MFEMFESpace
+    fec_type = H1
+    fec_order = FIRST
+  []
+[]
+
+[Variables]
+  [temperature]
+    type = MFEMVariable
+    fespace = H1FESpace
+  []
+[]
+
+[BCs]
+  [bottom]
+    type = MFEMScalarDirichletBC
+    variable = temperature
+    boundary = '1'
+    value = 1.0
+  []
+  [low_terminal]
+    type = MFEMScalarDirichletBC
+    variable = temperature
+    boundary = '2'
+    value = 0.0
+  []
+[]
+
+[Materials]
+  [Substance]
+    type = MFEMGenericConstantMaterial
+    prop_names = 'thermal_conductivity volumetric_heat_capacity'
+    prop_values = '1.0 1.0'
+  []
+[]
+
+[Kernels]
+  [diff]
+    type = MFEMDiffusionKernel
+    variable = temperature
+    coefficient = thermal_conductivity
+  []
+  [dT_dt]
+    type = MFEMTimeDerivativeMassKernel
+    variable = temperature
+    coefficient = volumetric_heat_capacity
+  []
+[]
+
+[Preconditioner]
+  [jacobi]
+    type = MFEMOperatorJacobiSmoother
+  []
+[]
+
+[Solver]
+  type = MFEMCGSolver
+  preconditioner = jacobi
+  l_tol = 1e-16
+  l_max_its = 1000
+[]
+
+[Executioner]
+  type = MFEMTransient
+  device = cpu
+  dt = 0.25
+  start_time = 0.0
+  end_time = 1.0
+  assembly_level = element
+[]
+
+[Outputs]
+  [ParaViewDataCollection]
+    type = MFEMParaViewDataCollection
+    file_base = OutputData/HeatConductionElement
+    vtk_format = ASCII
+  []
+[]
diff --git a/test/tests/mfem/kernels/heattransfer.i b/test/tests/mfem/kernels/heattransfer.i
new file mode 100644
index 000000000000..47371bde7383
--- /dev/null
+++ b/test/tests/mfem/kernels/heattransfer.i
@@ -0,0 +1,101 @@
+[Mesh]
+  type = MFEMMesh
+  file = gold/mug.e
+  dim = 3
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[FESpaces]
+  [H1FESpace]
+    type = MFEMFESpace
+    fec_type = H1
+    fec_order = FIRST
+  []
+[]
+
+[Variables]
+  [temperature]
+    type = MFEMVariable
+    fespace = H1FESpace
+  []
+[]
+
+[Functions]
+  [reservoir_far_temperature]
+    type = ParsedFunction
+    expression = 0.5
+  []
+  [heat_transfer_coefficient]
+    type = ParsedFunction
+    expression = 5.0
+  []
+[]
+
+[Kernels]
+  [diff]
+    type = MFEMDiffusionKernel
+    variable = temperature
+    coefficient = thermal_conductivity
+  []
+  [dT_dt]
+    type = MFEMTimeDerivativeMassKernel
+    variable = temperature
+    coefficient = volumetric_heat_capacity
+  []
+[]
+
+[BCs]
+  [bottom]
+    type = MFEMScalarDirichletBC
+    variable = temperature
+    boundary = '1'
+    value = 1.0
+  []
+  [top]
+    type = MFEMConvectiveHeatFluxBC
+    variable = temperature
+    boundary = '2'
+    T_infinity = reservoir_far_temperature
+    heat_transfer_coefficient = heat_transfer_coefficient
+  []
+[]
+
+[Materials]
+  [Substance]
+    type = MFEMGenericConstantMaterial
+    prop_names = 'thermal_conductivity volumetric_heat_capacity'
+    prop_values = '1.0 1.0'
+  []
+[]
+
+[Preconditioner]
+  [boomeramg]
+    type = MFEMHypreBoomerAMG
+  []
+[]
+
+[Solver]
+  type = MFEMHypreGMRES
+  preconditioner = boomeramg
+  l_tol = 1e-16
+  l_max_its = 1000
+[]
+
+[Executioner]
+  type = MFEMTransient
+  device = cpu
+  dt = 2.0
+  start_time = 0.0
+  end_time = 6.0
+[]
+
+[Outputs]
+  [ParaViewDataCollection]
+    type = MFEMParaViewDataCollection
+    file_base = OutputData/HeatTransfer
+    vtk_format = ASCII
+  []
+[]
diff --git a/test/tests/mfem/kernels/linearelasticity.i b/test/tests/mfem/kernels/linearelasticity.i
new file mode 100644
index 000000000000..c0364d758cf2
--- /dev/null
+++ b/test/tests/mfem/kernels/linearelasticity.i
@@ -0,0 +1,98 @@
+[Mesh]
+  type = MFEMMesh
+  file = gold/beam-tet.mesh
+  dim = 3
+  uniform_refine = 2
+  displacement = "displacement"
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[FESpaces]
+  [H1FESpace]
+    type = MFEMFESpace
+    fec_type = H1
+    fec_order = FIRST
+    vdim = 3
+    ordering = "vdim"
+  []
+[]
+
+[Variables]
+  [displacement]
+    type = MFEMVariable
+    fespace = H1FESpace
+  []
+[]
+
+[BCs]
+  [dirichlet]
+    type = MFEMVectorDirichletBC
+    variable = displacement
+    boundary = '1'
+    values = '0.0 0.0 0.0'
+  []
+  [pull_down]
+    type = MFEMVectorBoundaryIntegratedBC
+    variable = displacement
+    boundary = '2'
+    values = '0.0 0.0 -0.01'
+  []
+[]
+
+[Materials]
+  [Rigidium]
+    type = MFEMGenericConstantMaterial
+    prop_names = 'lambda mu'
+    prop_values = '50.0 50.0'
+    block = 1
+  []
+  [Bendium]
+    type = MFEMGenericConstantMaterial
+    prop_names = 'lambda mu'
+    prop_values = '1.0 1.0'
+    block = 2
+  []
+[]
+
+[Kernels]
+  [diff]
+    type = MFEMLinearElasticityKernel
+    variable = displacement
+    lambda = lambda
+    mu = mu
+  []
+[]
+
+[Preconditioner]
+  [boomeramg]
+    type = MFEMHypreBoomerAMG
+    l_max_its = 500
+    l_tol = 1e-8
+    print_level = 2
+  []
+[]
+
+[Solver]
+  type = MFEMHyprePCG
+  #preconditioner = boomeramg
+  l_max_its = 5000
+  l_tol = 1e-8
+  l_abs_tol = 0.0
+  print_level = 2
+[]
+
+[Executioner]
+  type = MFEMSteady
+  device = "cpu"
+[]
+
+[Outputs]
+  [ParaViewDataCollection]
+    type = MFEMParaViewDataCollection
+    file_base = OutputData/LinearElasticity
+    vtk_format = ASCII
+  []
+[]
diff --git a/test/tests/mfem/kernels/tests b/test/tests/mfem/kernels/tests
new file mode 100644
index 000000000000..98d527c50ac7
--- /dev/null
+++ b/test/tests/mfem/kernels/tests
@@ -0,0 +1,77 @@
+[Tests]
+  design = 'syntax/Problem/index.md'
+  [./MFEMCurlCurl]
+    type = XMLDiff
+    input = curlcurl.i
+    xmldiff = 'OutputData/CurlCurl/Run0/Run0.pvd
+                OutputData/CurlCurl/Run0/Cycle000001/proc000000.vtu'
+    requirement = 'Platypus shall have the ability to solve a definite Maxwell problem with Nedelec elements of the first kind and produce results consistent with MFEM Example 3'
+    mfem = true
+  []
+  [./MFEMDiffusion]
+    type = XMLDiff
+    input = diffusion.i
+    xmldiff = 'OutputData/Diffusion/Run0/Run0.pvd
+                OutputData/Diffusion/Run0/Cycle000001/proc000000.vtu'
+    requirement = 'Platypus shall have the ability to solve a diffusion problem set up from MOOSE and produce the same result as a native run.'
+    mfem = true
+  []
+  [./MFEMDiffusionPartial]
+    type = XMLDiff
+    input = diffusion_partial.i
+    xmldiff = 'OutputData/DiffusionPartial/Run0/Run0.pvd
+                OutputData/DiffusionPartial/Run0/Cycle000001/proc000000.vtu'
+    requirement = 'Platypus shall have the ability to solve a diffusion problem with partial assembly set up from MOOSE and produce the same result as a native run.'
+    mfem = true
+  []
+  [./MFEMGradDiv]
+    type = XMLDiff
+    input = graddiv.i
+    xmldiff = 'OutputData/GradDiv/Run0/Run0.pvd
+                OutputData/GradDiv/Run0/Cycle000001/proc000000.vtu'
+    requirement = 'Platypus shall have the ability to solve a grad-div problem with Raviart-Thomas elements set up from MOOSE and produce the same result as a native run.'
+    mfem = true
+  []
+  [./MFEMHeatConduction]
+    type = XMLDiff
+    input = heatconduction.i
+    xmldiff = 'OutputData/HeatConduction/Run0/Run0.pvd
+                OutputData/HeatConduction/Run0/Cycle000001/proc000000.vtu
+                OutputData/HeatConduction/Run0/Cycle000004/proc000000.vtu'
+    requirement = 'Platypus shall have the ability to solve a transient heat conduction problem set up from MOOSE and produce the same result as a native run.'
+    mfem = true
+  []
+  [./MFEMHeatConductionElement]
+    type = XMLDiff
+    input = heatconduction_element.i
+    xmldiff = 'OutputData/HeatConductionElement/Run0/Run0.pvd
+                OutputData/HeatConductionElement/Run0/Cycle000001/proc000000.vtu
+                OutputData/HeatConductionElement/Run0/Cycle000004/proc000000.vtu'
+    requirement = 'Platypus shall have the ability to solve a transient heat conduction problem with element assembly set up from MOOSE and produce the same result as a native run.'
+    mfem = true
+  []
+  [./MFEMHeatTransfer]
+    type = XMLDiff
+    input = heattransfer.i
+    xmldiff = 'OutputData/HeatTransfer/Run0/Run0.pvd
+                OutputData/HeatTransfer/Run0/Cycle000003/proc000000.vtu'
+    requirement = 'Platypus shall have the ability to solve a transient heat conduction problem with a heat transfer coefficient on one boundary set up from MOOSE.'
+    mfem = true
+  []
+  [./MFEMLinearElasticity]
+    type = XMLDiff
+    input = linearelasticity.i
+    xmldiff = 'OutputData/LinearElasticity/Run0/Run0.pvd
+                OutputData/LinearElasticity/Run0/Cycle000001/proc000000.vtu'
+    requirement = 'Platypus shall have the ability to solve a linear elasticity problem set up from MOOSE and produce the same result as a native run.'
+    mfem = true
+  []
+  [./MFEMGravity]
+    type = XMLDiff
+    input = gravity.i
+    xmldiff = 'OutputData/Gravity/Run0/Run0.pvd
+                OutputData/Gravity/Run0/Cycle000001/proc000000.vtu'
+    requirement = 'Platypus shall have the ability to solve a linear elasticity problem for a beam deformed under gravitational loads.'
+    mfem = true
+  []  
+[]
diff --git a/test/tests/mfem/outputs/datacollections.i b/test/tests/mfem/outputs/datacollections.i
new file mode 100644
index 000000000000..d6f9ada7684f
--- /dev/null
+++ b/test/tests/mfem/outputs/datacollections.i
@@ -0,0 +1,90 @@
+[Mesh]
+  type = MFEMMesh
+  file = gold/mug.e
+  dim = 3
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[FESpaces]
+  [H1FESpace]
+    type = MFEMFESpace
+    fec_type = H1
+    fec_order = FIRST
+  []
+[]
+
+[Variables]
+  [diffused]
+    type = MFEMVariable
+    fespace = H1FESpace
+  []
+[]
+
+[BCs]
+  [bottom]
+    type = MFEMScalarDirichletBC
+    variable = diffused
+    boundary = '1'
+    value = 1.0
+  []
+  [low_terminal]
+    type = MFEMScalarDirichletBC
+    variable = diffused
+    boundary = '2'
+    value = 0.0
+  []
+[]
+
+[Materials]
+  [Substance]
+    type = MFEMGenericConstantMaterial
+    prop_names = diffusivity
+    prop_values = 1.0
+  []
+[]
+
+[Kernels]
+  [diff]
+    type = MFEMDiffusionKernel
+    variable = diffused
+    coefficient = diffusivity
+  []
+[]
+
+[Preconditioner]
+  [boomeramg]
+    type = MFEMHypreBoomerAMG
+  []
+[]
+
+[Solver]
+  type = MFEMHypreGMRES
+  preconditioner = boomeramg
+  l_tol = 1e-16
+  l_max_its = 1000
+[]
+
+[Executioner]
+  type = MFEMSteady
+  device = cpu
+[]
+
+[Outputs]
+  [ParaViewDataCollection]
+    type = MFEMParaViewDataCollection
+    file_base = OutputData/ParaViewDataCollection
+    vtk_format = ASCII
+  []
+  [VisItDataCollection]
+    type = MFEMVisItDataCollection
+    file_base = OutputData/VisItDataCollection
+  []
+  [ConduitDataCollection]
+    type = MFEMConduitDataCollection
+    file_base = OutputData/ConduitDataCollection
+    protocol = conduit_bin
+  []
+[]
diff --git a/test/tests/mfem/outputs/gold/OutputData/ParaViewDataCollection/Run0/Cycle000000/data.pvtu b/test/tests/mfem/outputs/gold/OutputData/ParaViewDataCollection/Run0/Cycle000000/data.pvtu
new file mode 100644
index 000000000000..adfd94ca1dac
--- /dev/null
+++ b/test/tests/mfem/outputs/gold/OutputData/ParaViewDataCollection/Run0/Cycle000000/data.pvtu
@@ -0,0 +1,20 @@
+<?xml version="1.0"?>
+<VTKFile type="PUnstructuredGrid" version ="0.1" byte_order="LittleEndian">
+<PUnstructuredGrid GhostLevel="0">
+<PPoints>
+	<PDataArray type="Float64"  Name="Points" NumberOfComponents="3" format="ascii"/>
+</PPoints>
+<PCells>
+	<PDataArray type="Int32"  Name="connectivity" NumberOfComponents="1" format="ascii"/>
+	<PDataArray type="Int32"  Name="offsets"      NumberOfComponents="1" format="ascii"/>
+	<PDataArray type="UInt8"  Name="types"        NumberOfComponents="1" format="ascii"/>
+</PCells>
+<PPointData>
+<PDataArray type="Float64" Name="diffused" NumberOfComponents="1"  format="ascii" />
+</PPointData>
+<PCellData>
+	<PDataArray type="Int32" Name="attribute" NumberOfComponents="1" format="ascii"/>
+</PCellData>
+<Piece Source="proc000000.vtu"/>
+</PUnstructuredGrid>
+</VTKFile>
diff --git a/test/tests/mfem/outputs/gold/OutputData/ParaViewDataCollection/Run0/Cycle000000/proc000000.vtu b/test/tests/mfem/outputs/gold/OutputData/ParaViewDataCollection/Run0/Cycle000000/proc000000.vtu
new file mode 100644
index 000000000000..67238ba18820
--- /dev/null
+++ b/test/tests/mfem/outputs/gold/OutputData/ParaViewDataCollection/Run0/Cycle000000/proc000000.vtu
@@ -0,0 +1,49546 @@
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
+<UnstructuredGrid>
+<Piece NumberOfPoints="19808" NumberOfCells="2476">
+<Points>
+<DataArray type="Float64" NumberOfComponents="3" format="ascii">
+2 0 -1.8875
+1.97272261 0.329189181 -1.8875
+2.1215295 -4.17843636e-07 -1.8875
+2.09278007 0.349223228 -1.8875
+2 0 -2.125
+1.97272261 0.329189181 -2.125
+2.1215295 -4.17843636e-07 -2.125
+2.09278007 0.349223228 -2.125
+2.1215295 -4.17843636e-07 -1.8875
+2.09278007 0.349223228 -1.8875
+2.25 0 -1.8875
+2.21931293 0.370337828 -1.8875
+2.1215295 -4.17843636e-07 -2.125
+2.09278007 0.349223228 -2.125
+2.25 0 -2.125
+2.21931293 0.370337828 -2.125
+1.97272261 0.329189181 -1.8875
+1.89163448 0.649398938 -1.8875
+2.09278007 0.349223228 -1.8875
+2.00657905 0.688859898 -1.8875
+1.97272261 0.329189181 -2.125
+1.89163448 0.649398938 -2.125
+2.09278007 0.349223228 -2.125
+2.00657905 0.688859898 -2.125
+2.09278007 0.349223228 -1.8875
+2.00657905 0.688859898 -1.8875
+2.21931293 0.370337828 -1.8875
+2.12808879 0.730573806 -1.8875
+2.09278007 0.349223228 -2.125
+2.00657905 0.688859898 -2.125
+2.21931293 0.370337828 -2.125
+2.12808879 0.730573806 -2.125
+1.89163448 0.649398938 -1.8875
+1.7589475 0.951894786 -1.8875
+2.00657905 0.688859898 -1.8875
+1.8658198 1.00973171 -1.8875
+1.89163448 0.649398938 -2.125
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new file mode 100644
index 000000000000..c757f35d1918
--- /dev/null
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diff --git a/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000000.mfem_root b/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000000.mfem_root
new file mode 100644
index 000000000000..98a12f150ffd
--- /dev/null
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diff --git a/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000000/diffused.000000 b/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000000/diffused.000000
new file mode 100644
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diff --git a/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000000/mesh.000000 b/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000000/mesh.000000
new file mode 100644
index 000000000000..1ac5fee07f28
--- /dev/null
+++ b/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000000/mesh.000000
@@ -0,0 +1,6830 @@
+MFEM mesh v1.0
+
+#
+# MFEM Geometry Types (see fem/geom.hpp):
+#
+# POINT       = 0
+# SEGMENT     = 1
+# TRIANGLE    = 2
+# SQUARE      = 3
+# TETRAHEDRON = 4
+# CUBE        = 5
+# PRISM       = 6
+#
+
+dimension
+3
+
+elements
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diff --git a/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000001.mfem_root b/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000001.mfem_root
new file mode 100644
index 000000000000..cdd251a5e6a1
--- /dev/null
+++ b/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000001.mfem_root
@@ -0,0 +1,29 @@
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+          "topo_dim": "3"
+        }
+      },
+      "time": 1,
+      "time_step": 0
+    }
+  }
+}
diff --git a/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000001/diffused.000000 b/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000001/diffused.000000
new file mode 100644
index 000000000000..4614220a1d05
--- /dev/null
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diff --git a/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000001/mesh.000000 b/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000001/mesh.000000
new file mode 100644
index 000000000000..1ac5fee07f28
--- /dev/null
+++ b/test/tests/mfem/outputs/gold/OutputData/VisItDataCollection/Run0_000001/mesh.000000
@@ -0,0 +1,6830 @@
+MFEM mesh v1.0
+
+#
+# MFEM Geometry Types (see fem/geom.hpp):
+#
+# POINT       = 0
+# SEGMENT     = 1
+# TRIANGLE    = 2
+# SQUARE      = 3
+# TETRAHEDRON = 4
+# CUBE        = 5
+# PRISM       = 6
+#
+
+dimension
+3
+
+elements
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diff --git a/test/tests/mfem/outputs/gold/mug.e b/test/tests/mfem/outputs/gold/mug.e
new file mode 100644
index 000000000000..99190251d9ec
Binary files /dev/null and b/test/tests/mfem/outputs/gold/mug.e differ
diff --git a/test/tests/mfem/outputs/tests b/test/tests/mfem/outputs/tests
new file mode 100644
index 000000000000..ef49b4ebdf19
--- /dev/null
+++ b/test/tests/mfem/outputs/tests
@@ -0,0 +1,13 @@
+[Tests]
+  design = 'syntax/Problem/index.md'
+  [./MFEMDataCollections]
+    type = 'CheckFiles'
+    input = 'datacollections.i'
+    check_files = 'OutputData/ParaViewDataCollection/Run0/Run0.pvd
+                OutputData/ParaViewDataCollection/Run0/Cycle000001/proc000000.vtu
+                OutputData/VisItDataCollection/Run0_000000/mesh.000000
+                OutputData/VisItDataCollection/Run0_000001/diffused.000000
+                OutputData/VisItDataCollection/Run0_000001.mfem_root'
+    requirement = 'Platypus shall have the ability to write out solutions to VisIt or ParaView mfem::DataCollections'
+  []
+[]
diff --git a/test/tests/mfem/variables/gold/OutputData/VariableSetupTest/Run0/Cycle000000/data.pvtu b/test/tests/mfem/variables/gold/OutputData/VariableSetupTest/Run0/Cycle000000/data.pvtu
new file mode 100644
index 000000000000..1429afb20105
--- /dev/null
+++ b/test/tests/mfem/variables/gold/OutputData/VariableSetupTest/Run0/Cycle000000/data.pvtu
@@ -0,0 +1,27 @@
+<?xml version="1.0"?>
+<VTKFile type="PUnstructuredGrid" version ="0.1" byte_order="LittleEndian">
+<PUnstructuredGrid GhostLevel="0">
+<PPoints>
+	<PDataArray type="Float64"  Name="Points" NumberOfComponents="3" format="binary"/>
+</PPoints>
+<PCells>
+	<PDataArray type="Int32"  Name="connectivity" NumberOfComponents="1" format="binary"/>
+	<PDataArray type="Int32"  Name="offsets"      NumberOfComponents="1" format="binary"/>
+	<PDataArray type="UInt8"  Name="types"        NumberOfComponents="1" format="binary"/>
+</PCells>
+<PPointData>
+<PDataArray type="Float64" Name="dscalar_auxvar_dt" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="dscalar_var_dt" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="dvector_auxvar_dt" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="dvector_var_dt" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="scalar_auxvar" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="scalar_var" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="vector_auxvar" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="vector_var" NumberOfComponents="1" format="binary" />
+</PPointData>
+<PCellData>
+	<PDataArray type="Int32" Name="attribute" NumberOfComponents="1" format="binary"/>
+</PCellData>
+<Piece Source="proc000000.vtu"/>
+</PUnstructuredGrid>
+</VTKFile>
diff --git a/test/tests/mfem/variables/gold/OutputData/VariableSetupTest/Run0/Cycle000001/data.pvtu b/test/tests/mfem/variables/gold/OutputData/VariableSetupTest/Run0/Cycle000001/data.pvtu
new file mode 100644
index 000000000000..1429afb20105
--- /dev/null
+++ b/test/tests/mfem/variables/gold/OutputData/VariableSetupTest/Run0/Cycle000001/data.pvtu
@@ -0,0 +1,27 @@
+<?xml version="1.0"?>
+<VTKFile type="PUnstructuredGrid" version ="0.1" byte_order="LittleEndian">
+<PUnstructuredGrid GhostLevel="0">
+<PPoints>
+	<PDataArray type="Float64"  Name="Points" NumberOfComponents="3" format="binary"/>
+</PPoints>
+<PCells>
+	<PDataArray type="Int32"  Name="connectivity" NumberOfComponents="1" format="binary"/>
+	<PDataArray type="Int32"  Name="offsets"      NumberOfComponents="1" format="binary"/>
+	<PDataArray type="UInt8"  Name="types"        NumberOfComponents="1" format="binary"/>
+</PCells>
+<PPointData>
+<PDataArray type="Float64" Name="dscalar_auxvar_dt" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="dscalar_var_dt" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="dvector_auxvar_dt" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="dvector_var_dt" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="scalar_auxvar" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="scalar_var" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="vector_auxvar" NumberOfComponents="1" format="binary" />
+<PDataArray type="Float64" Name="vector_var" NumberOfComponents="1" format="binary" />
+</PPointData>
+<PCellData>
+	<PDataArray type="Int32" Name="attribute" NumberOfComponents="1" format="binary"/>
+</PCellData>
+<Piece Source="proc000000.vtu"/>
+</PUnstructuredGrid>
+</VTKFile>
diff --git a/test/tests/mfem/variables/gold/OutputData/VariableSetupTest/Run0/Run0.pvd b/test/tests/mfem/variables/gold/OutputData/VariableSetupTest/Run0/Run0.pvd
new file mode 100644
index 000000000000..c757f35d1918
--- /dev/null
+++ b/test/tests/mfem/variables/gold/OutputData/VariableSetupTest/Run0/Run0.pvd
@@ -0,0 +1,7 @@
+<?xml version="1.0"?>
+<VTKFile type="Collection" version="0.1" byte_order="LittleEndian">
+<Collection>
+<DataSet timestep="0" group="" part="0" file="Cycle000000/data.pvtu" name="mesh"/>
+<DataSet timestep="1" group="" part="0" file="Cycle000001/data.pvtu" name="mesh"/>
+</Collection>
+</VTKFile>
diff --git a/test/tests/mfem/variables/gold/mug.e b/test/tests/mfem/variables/gold/mug.e
new file mode 100644
index 000000000000..99190251d9ec
Binary files /dev/null and b/test/tests/mfem/variables/gold/mug.e differ
diff --git a/test/tests/mfem/variables/mfem_variables_from_moose.i b/test/tests/mfem/variables/mfem_variables_from_moose.i
new file mode 100644
index 000000000000..1f730f6188e4
--- /dev/null
+++ b/test/tests/mfem/variables/mfem_variables_from_moose.i
@@ -0,0 +1,90 @@
+[Mesh]
+  type = MFEMMesh
+  file = gold/mug.e
+  dim = 3
+[]
+
+[Problem]
+  type = MFEMProblem
+[]
+
+[Variables]
+  [scalar_var]
+    family = LAGRANGE
+    order = FIRST
+  []
+  [vector_var]
+    family = LAGRANGE_VEC
+    order = FIRST
+  []
+[]
+
+[AuxVariables]
+  [scalar_auxvar]
+    family = MONOMIAL
+    order = CONSTANT
+  []
+  [vector_auxvar]
+    family = MONOMIAL_VEC
+    order = CONSTANT
+  []
+[]
+
+[BCs]
+  [bottom]
+    type = MFEMScalarDirichletBC
+    variable = scalar_var
+    boundary = '1'
+    value = 1.0
+  []
+  [low_terminal]
+    type = MFEMScalarDirichletBC
+    variable = scalar_var
+    boundary = '2'
+    value = 0.0
+  []
+[]
+
+[Materials]
+  [Substance]
+    type = MFEMGenericConstantMaterial
+    prop_names = diffusivity
+    prop_values = 1.0
+  []
+[]
+
+[Kernels]
+  [diff]
+    type = MFEMDiffusionKernel
+    variable = scalar_var
+    coefficient = diffusivity
+  []
+[]
+
+[Preconditioner]
+  [boomeramg]
+    type = MFEMHypreBoomerAMG
+  []
+[]
+
+[Solver]
+  type = MFEMHypreGMRES
+  preconditioner = boomeramg
+  l_tol = 1e-16
+  l_max_its = 1000
+[]
+
+[Executioner]
+  type = MFEMTransient
+  device = cpu
+  dt = 1.0
+  start_time = 0.0
+  end_time = 1.0
+[]
+
+[Outputs]
+  [ParaViewDataCollection]
+    type = MFEMParaViewDataCollection
+    file_base = OutputData/VariableSetupTest
+  []
+[]
diff --git a/test/tests/mfem/variables/tests b/test/tests/mfem/variables/tests
new file mode 100644
index 000000000000..60cc5740e8c7
--- /dev/null
+++ b/test/tests/mfem/variables/tests
@@ -0,0 +1,10 @@
+[Tests]
+  design = 'syntax/Problem/index.md'
+  [./MFEMVariableSetupFromMOOSEVariables]
+    type = XMLDiff
+    input = mfem_variables_from_moose.i
+    xmldiff = 'OutputData/VariableSetupTest/Run0/Cycle000000/data.pvtu
+                OutputData/VariableSetupTest/Run0/Cycle000001/data.pvtu'
+    requirement = 'Platypus shall have the ability to add an MFEMVariable from a user specification of a MOOSE variable, inferring the FESpace.'
+  []
+[]
diff --git a/unit/data/beam-tet.mesh b/unit/data/beam-tet.mesh
new file mode 100644
index 000000000000..68a2edea0a6b
--- /dev/null
+++ b/unit/data/beam-tet.mesh
@@ -0,0 +1,177 @@
+MFEM mesh v1.0
+
+#
+# MFEM Geometry Types (see mesh/geom.hpp):
+#
+# POINT       = 0
+# SEGMENT     = 1
+# TRIANGLE    = 2
+# SQUARE      = 3
+# TETRAHEDRON = 4
+# CUBE        = 5
+#
+
+dimension
+3
+
+elements
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diff --git a/unit/data/cylinder-hex-q2.gen b/unit/data/cylinder-hex-q2.gen
new file mode 100644
index 000000000000..151d91e51233
Binary files /dev/null and b/unit/data/cylinder-hex-q2.gen differ
diff --git a/unit/data/fichera-q3.mesh b/unit/data/fichera-q3.mesh
new file mode 100644
index 000000000000..0db43520c6e7
--- /dev/null
+++ b/unit/data/fichera-q3.mesh
@@ -0,0 +1,1010 @@
+MFEM mesh v1.0
+
+#
+# MFEM Geometry Types (see fem/geom.hpp):
+#
+# POINT       = 0
+# SEGMENT     = 1
+# TRIANGLE    = 2
+# SQUARE      = 3
+# TETRAHEDRON = 4
+# CUBE        = 5
+#
+
+dimension
+3
+
+elements
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+vertices
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+FiniteElementCollection: Cubic
+VDim: 3
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diff --git a/unit/data/mug.e b/unit/data/mug.e
new file mode 100644
index 000000000000..af9c3ac30ff0
Binary files /dev/null and b/unit/data/mug.e differ
diff --git a/unit/data/simple-cube-multi-element-order2.e b/unit/data/simple-cube-multi-element-order2.e
new file mode 100644
index 000000000000..115d70ff16f2
Binary files /dev/null and b/unit/data/simple-cube-multi-element-order2.e differ
diff --git a/unit/include/MFEMObjectUnitTest.h b/unit/include/MFEMObjectUnitTest.h
new file mode 100644
index 000000000000..bb9e9ed3bcf2
--- /dev/null
+++ b/unit/include/MFEMObjectUnitTest.h
@@ -0,0 +1,107 @@
+#ifdef MFEM_ENABLED
+
+#pragma once
+
+#include "gtest/gtest.h"
+
+#include "MFEMMesh.h"
+#include "MFEMProblem.h"
+#include "AppFactory.h"
+#include "MooseMain.h"
+
+/**
+ * Base class for building basic unit tests for MFEM objects that can live alone (like user
+ * objects, etc.). Based on MOOSEObjectUnitTest.h from the MOOSE framework.
+ *
+ * This class builds the basic objects that are needed in order to test a MOOSE object. Those are a
+ * MFEMMesh and an MFEMProblem.  To build a unit test, inherit from this class and build your test
+ * using the following template:
+ *
+ * class MyUnitTest : public MFEMObjectUnitTest
+ * {
+ * public:
+ *   MyUnitTest() : MFEMObjectUnitTest("MyAppUnitApp")
+ *   {
+ *     // if you are using the old registration system, you want to register your objects using this
+ *     // call. Otherwise, you do not need it.
+ *     registerObjects(_factory);
+ *     buildObjects();
+ *   }
+ *
+ * protected:
+ *   void registerObjects(Factory & factory)
+ *   {
+ *     // register your objects as usual, we have to be in a method like this so that the register
+ *     // macros work
+ *     registerUserObject(MyObjectThatIAmTesting);
+ *   }
+ *
+ *   void buildObjects()
+ *   {
+ *     // build your object like so
+ *     InputParameters pars = _factory.getValidParams("MyObjectThatIAmTesting");
+ *     _mfem_problem->addUserObject("MyObjectThatIAmTesting", "fp", uo_pars);
+ *     _obj = &_mfem_problem->getUserObject<MyObjectThatIAmTesting>("fp");
+ *   }
+ *
+ *   // member variable used later in the actual tests
+ *   const MyObjectThatIAmTesting * _obj;
+ * };
+ *
+ * In your .C file
+ *
+ * TEST_F(MyObjectThatIAmTesting, test)
+ * {
+ *   EXPECT_EQ("testing", _obj->method(par1, par2));
+ * }
+ */
+class MFEMObjectUnitTest : public ::testing::Test
+{
+public:
+  /**
+   * @param app_name The name of client's application
+   */
+  MFEMObjectUnitTest(const std::string & app_name)
+    : _app(Moose::createMooseApp(app_name, 0, nullptr)), _factory(_app->getFactory())
+  {
+    buildObjects();
+  }
+
+protected:
+  void buildObjects()
+  {
+    InputParameters mesh_params = _factory.getValidParams("MFEMMesh");
+    mesh_params.set<MeshFileName>("file") = "data/beam-tet.mesh";
+    _mfem_mesh_ptr = _factory.createUnique<MFEMMesh>("MFEMMesh", "moose_mesh", mesh_params);
+    _mfem_mesh_ptr->setMeshBase(_mfem_mesh_ptr->buildMeshBaseObject());
+    _mfem_mesh_ptr->buildMesh();
+
+    InputParameters problem_params = _factory.getValidParams("MFEMProblem");
+    problem_params.set<MooseMesh *>("mesh") = _mfem_mesh_ptr.get();
+    problem_params.set<std::string>("_object_name") = "name2";
+    _mfem_problem = _factory.create<MFEMProblem>("MFEMProblem", "problem", problem_params);
+
+    _app->actionWarehouse().problemBase() = _mfem_problem;
+  }
+
+  template <typename T>
+  T & addObject(const std::string & type, const std::string & name, InputParameters & params);
+
+  std::unique_ptr<MFEMMesh> _mfem_mesh_ptr;
+  std::shared_ptr<MooseApp> _app;
+  Factory & _factory;
+  std::shared_ptr<MFEMProblem> _mfem_problem;
+};
+
+template <typename T>
+T &
+MFEMObjectUnitTest::addObject(const std::string & type,
+                              const std::string & name,
+                              InputParameters & params)
+{
+  auto objects = _mfem_problem->addObject<T>(type, name, params);
+  mooseAssert(objects.size() == 1, "Doesn't work with threading");
+  return *objects[0];
+}
+
+#endif
diff --git a/unit/src/FunctionTest.C b/unit/src/FunctionTest.C
new file mode 100644
index 000000000000..63253579ee55
--- /dev/null
+++ b/unit/src/FunctionTest.C
@@ -0,0 +1,78 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMObjectUnitTest.h"
+
+class FunctionTest : public MFEMObjectUnitTest
+{
+public:
+  mfem::IsoparametricTransformation fe_transform;
+  mfem::IntegrationPoint point;
+  FunctionTest() : MFEMObjectUnitTest("MooseUnitApp")
+  {
+    point.Init(3);
+    point.Set3(0., 0., 0.);
+    fe_transform.SetIdentityTransformation(mfem::Geometry::CUBE);
+  }
+};
+
+/**
+ * Test MFEMProblem::getScalarFunctionCoefficient works as it should.
+ */
+TEST_F(FunctionTest, GetScalarFunctionCoefficient)
+{
+  // Build required kernel inputs
+  InputParameters func_params1 = _factory.getValidParams("ParsedFunction");
+  func_params1.set<std::string>("expression") = "1.";
+  _mfem_problem->addFunction("ParsedFunction", "coef1", func_params1);
+  _mfem_problem->getFunction("coef1").initialSetup();
+  mfem::Coefficient & coef(_mfem_problem->getProperties().getScalarProperty("coef1"));
+  EXPECT_EQ(coef.Eval(fe_transform, point), 1);
+
+  EXPECT_THROW(_mfem_problem->getProperties().getVectorProperty("coef1"), MooseException);
+  EXPECT_THROW(_mfem_problem->getProperties().getScalarProperty("coef2"), MooseException);
+}
+
+/**
+ * Test MFEMProblem::getVectorFunctionCoefficient works as it should.
+ */
+TEST_F(FunctionTest, GetVectorFunctionCoefficient)
+{
+  // Build required kernel inputs
+  InputParameters func_params1 = _factory.getValidParams("ParsedVectorFunction");
+  func_params1.set<std::string>("expression_x") = "1.";
+  func_params1.set<std::string>("expression_y") = "2.";
+  func_params1.set<std::string>("expression_z") = "3.";
+  _mfem_problem->addFunction("ParsedVectorFunction", "vec_coef1", func_params1);
+  _mfem_problem->getFunction("vec_coef1").initialSetup();
+  mfem::VectorCoefficient & coef(_mfem_problem->getProperties().getVectorProperty("vec_coef1"));
+  mfem::Vector vec;
+  coef.Eval(vec, fe_transform, point);
+  EXPECT_EQ(vec[0], 1.);
+  EXPECT_EQ(vec[1], 2.);
+  EXPECT_EQ(vec[2], 3.);
+
+  EXPECT_THROW(_mfem_problem->getProperties().getVectorProperty("vec_coef2"), MooseException);
+  EXPECT_THROW(_mfem_problem->getProperties().getScalarProperty("vec_coef1"), MooseException);
+}
+
+/**
+ * Test MFEMProblem::addFunction when unkown function type is used.
+ */
+TEST_F(FunctionTest, AddUnknownFunction)
+{
+  InputParameters func_params1 = _factory.getValidParams("ParsedFunction");
+  func_params1.set<std::string>("expression") = "1.";
+  _mfem_problem->addFunction("ParsedFunction", "coef1", func_params1);
+  InputParameters func_params2 = _factory.getValidParams("ParsedFunction");
+  func_params2.set<std::string>("expression") = "x*y";
+  _mfem_problem->addFunction("ParsedFunction", "coef2", func_params2);
+  InputParameters func_params3 = _factory.getValidParams("LinearCombinationFunction");
+  func_params3.set<std::vector<FunctionName>>("functions") = {"coef1", "coef2"};
+  func_params3.set<std::vector<double>>("w") = {1., 2.};
+  EXPECT_THROW(_mfem_problem->addFunction("LinearCombinationFunction", "coef3", func_params3),
+               std::runtime_error);
+  _mfem_problem->getFunction("coef1").initialSetup();
+  _mfem_problem->getFunction("coef2").initialSetup();
+}
+
+#endif
diff --git a/unit/src/MFEMEssentialBCTest.C b/unit/src/MFEMEssentialBCTest.C
new file mode 100644
index 000000000000..5d38bad7eb13
--- /dev/null
+++ b/unit/src/MFEMEssentialBCTest.C
@@ -0,0 +1,382 @@
+#ifdef MFEM_ENABLED
+
+#include "libmesh/ignore_warnings.h"
+#include "mfem/miniapps/common/mfem-common.hpp"
+#include "libmesh/restore_warnings.h"
+#include "MFEMObjectUnitTest.h"
+#include "MFEMScalarDirichletBC.h"
+#include "MFEMScalarFunctorDirichletBC.h"
+#include "MFEMVectorDirichletBC.h"
+#include "MFEMVectorFunctorDirichletBC.h"
+#include "MFEMVectorNormalDirichletBC.h"
+#include "MFEMVectorFunctorNormalDirichletBC.h"
+#include "MFEMVectorTangentialDirichletBC.h"
+#include "MFEMVectorFunctorTangentialDirichletBC.h"
+
+class MFEMEssentialBCTest : public MFEMObjectUnitTest
+{
+public:
+  mfem::common::H1_FESpace _scalar_fes;
+  mfem::common::H1_FESpace _vector_h1_fes;
+  mfem::common::ND_FESpace _vector_hcurl_fes;
+  mfem::common::RT_FESpace _vector_hdiv_fes;
+  mfem::GridFunction _scalar_gridfunc, _vector_h1_gridfunc, _vector_hcurl_gridfunc,
+      _vector_hdiv_gridfunc;
+  mfem::ConstantCoefficient _scalar_zero;
+  mfem::VectorConstantCoefficient _vector_zero;
+
+  MFEMEssentialBCTest()
+    : MFEMObjectUnitTest("MooseUnitApp"),
+      _scalar_fes(_mfem_mesh_ptr->getMFEMParMeshPtr().get(), 1, 3),
+      _vector_h1_fes(
+          _mfem_mesh_ptr->getMFEMParMeshPtr().get(), 1, 3, mfem::BasisType::GaussLobatto, 3),
+      _vector_hcurl_fes(_mfem_mesh_ptr->getMFEMParMeshPtr().get(), 2, 3),
+      _vector_hdiv_fes(_mfem_mesh_ptr->getMFEMParMeshPtr().get(), 2, 3),
+      _scalar_gridfunc(&_scalar_fes),
+      _vector_h1_gridfunc(&_vector_h1_fes),
+      _vector_hcurl_gridfunc(&_vector_hcurl_fes),
+      _vector_hdiv_gridfunc(&_vector_hdiv_fes),
+      _scalar_zero(0.),
+      _vector_zero(mfem::Vector({0., 0., 0.}))
+  {
+    InputParameters func_params = _factory.getValidParams("ParsedFunction");
+    func_params.set<std::string>("expression") = "x + y";
+    _mfem_problem->addFunction("ParsedFunction", "func1", func_params);
+    _mfem_problem->getFunction("func1").initialSetup();
+    InputParameters vecfunc_params = _factory.getValidParams("ParsedVectorFunction");
+    vecfunc_params.set<std::string>("expression_x") = "x + y";
+    vecfunc_params.set<std::string>("expression_y") = "x + y + 1";
+    vecfunc_params.set<std::string>("expression_z") = "x + y + 2";
+    _mfem_problem->addFunction("ParsedVectorFunction", "func2", vecfunc_params);
+    _mfem_problem->getFunction("func2").initialSetup();
+    _scalar_gridfunc.ProjectCoefficient(_scalar_zero);
+    _vector_h1_gridfunc.ProjectCoefficient(_vector_zero);
+    _vector_hcurl_gridfunc.ProjectCoefficient(_vector_zero);
+    _vector_hdiv_gridfunc.ProjectCoefficient(_vector_zero);
+  }
+
+  void check_boundary(int /*bound*/,
+                      mfem::FiniteElementSpace & fespace,
+                      std::function<double(mfem::ElementTransformation *,
+                                           const mfem::IntegrationPoint &)> error_func,
+                      double tolerance)
+  {
+    for (int be = 0; be < _mfem_mesh_ptr->getMFEMParMeshPtr()->GetNBE(); be++)
+    {
+      mfem::Element * elem = _mfem_mesh_ptr->getMFEMParMeshPtr()->GetBdrElement(be);
+      if (elem->GetAttribute() != 1)
+        continue;
+      mfem::ElementTransformation * transform =
+          _mfem_mesh_ptr->getMFEMParMeshPtr()->GetBdrElementTransformation(be);
+      const mfem::FiniteElement * fe = fespace.GetBE(be);
+      const mfem::IntegrationRule & ir =
+          mfem::IntRules.Get(fe->GetGeomType(), 2 * fe->GetOrder() + 2);
+      double total_error = 0.0;
+      for (int j = 0; j < ir.GetNPoints(); j++)
+      {
+        const mfem::IntegrationPoint point = ir.IntPoint(j);
+        transform->SetIntPoint(&point);
+        const double error = error_func(transform, point);
+        total_error += error * error;
+      }
+      EXPECT_LT(total_error, tolerance);
+    }
+  }
+
+  mfem::Vector calc_normal(mfem::ElementTransformation * transform) const
+  {
+    mfem::Vector normal(3);
+    mfem::CalcOrtho(transform->Jacobian(), normal);
+    return normal;
+  }
+};
+
+/**
+ * Test MFEMScalarDirichletBC can be constructed and applied successfully
+ */
+TEST_F(MFEMEssentialBCTest, MFEMScalarDirichletBC)
+{
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMScalarDirichletBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<Real>("value") = 1.;
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  auto & essential_bc = addObject<MFEMScalarDirichletBC>("MFEMScalarDirichletBC", "bc1", bc_params);
+
+  EXPECT_EQ(essential_bc.getTrialVariableName(), "test_variable_name");
+  EXPECT_EQ(essential_bc.getTestVariableName(), "test_variable_name");
+
+  // Test applying the BC
+  essential_bc.ApplyBC(_scalar_gridfunc, _mfem_mesh_ptr->getMFEMParMeshPtr().get());
+
+  // Check the correct boundary values have been applied
+  mfem::GridFunctionCoefficient scalar_variable(&_scalar_gridfunc);
+  check_boundary(
+      1,
+      _scalar_fes,
+      [&scalar_variable](mfem::ElementTransformation * transform,
+                         const mfem::IntegrationPoint & point)
+      { return scalar_variable.Eval(*transform, point) - 1.; },
+      1e-8);
+}
+
+/**
+ * Test MFEMScalarFunctorDirichletBC can be constructed and applied successfully
+ */
+TEST_F(MFEMEssentialBCTest, MFEMScalarFunctorDirichletBC)
+{
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMScalarFunctorDirichletBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::string>("coefficient") = "func1";
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  auto & essential_bc =
+      addObject<MFEMScalarFunctorDirichletBC>("MFEMScalarFunctorDirichletBC", "bc1", bc_params);
+
+  EXPECT_EQ(essential_bc.getTrialVariableName(), "test_variable_name");
+  EXPECT_EQ(essential_bc.getTestVariableName(), "test_variable_name");
+
+  // Test applying the BC
+  essential_bc.ApplyBC(_scalar_gridfunc, _mfem_mesh_ptr->getMFEMParMeshPtr().get());
+
+  // Check the correct boundary values have been applied
+  mfem::GridFunctionCoefficient scalar_variable(&_scalar_gridfunc);
+  mfem::Coefficient & expected(_mfem_problem->getProperties().getScalarProperty("func1"));
+  check_boundary(
+      1,
+      _scalar_fes,
+      [&scalar_variable, &expected](mfem::ElementTransformation * transform,
+                                    const mfem::IntegrationPoint & point)
+      { return scalar_variable.Eval(*transform, point) - expected.Eval(*transform, point); },
+      1e-8);
+}
+
+/**
+ * Test MFEMVectorDirichletBC can be constructed and applied successfully
+ */
+TEST_F(MFEMEssentialBCTest, MFEMVectorDirichletBC)
+{
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMVectorDirichletBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::vector<Real>>("values") = {1., 2., 3.};
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  auto & essential_bc = addObject<MFEMVectorDirichletBC>("MFEMVectorDirichletBC", "bc1", bc_params);
+
+  EXPECT_EQ(essential_bc.getTrialVariableName(), "test_variable_name");
+  EXPECT_EQ(essential_bc.getTestVariableName(), "test_variable_name");
+
+  // Test applying the BC
+  essential_bc.ApplyBC(_vector_h1_gridfunc, _mfem_mesh_ptr->getMFEMParMeshPtr().get());
+
+  // Check the correct boundary values have been applied
+  mfem::VectorGridFunctionCoefficient variable(&_vector_h1_gridfunc);
+  mfem::Vector expected({1., 2., 3.});
+  check_boundary(
+      1,
+      _vector_h1_fes,
+      [&variable, &expected](mfem::ElementTransformation * transform,
+                             const mfem::IntegrationPoint & point)
+      {
+        mfem::Vector actual(3);
+        variable.Eval(actual, *transform, point);
+        actual -= expected;
+        return actual.Norml2();
+      },
+      1e-8);
+}
+
+/**
+ * Test MFEMVectorFunctorDirichletBC can be constructed and applied successfully
+ */
+TEST_F(MFEMEssentialBCTest, MFEMVectorFunctorDirichletBC)
+{
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMVectorFunctorDirichletBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::string>("vector_coefficient") = "func2";
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  auto & essential_bc =
+      addObject<MFEMVectorFunctorDirichletBC>("MFEMVectorFunctorDirichletBC", "bc1", bc_params);
+
+  EXPECT_EQ(essential_bc.getTrialVariableName(), "test_variable_name");
+  EXPECT_EQ(essential_bc.getTestVariableName(), "test_variable_name");
+
+  // Test applying the BC
+  essential_bc.ApplyBC(_vector_h1_gridfunc, _mfem_mesh_ptr->getMFEMParMeshPtr().get());
+
+  // Check the correct boundary values have been applied
+  mfem::VectorGridFunctionCoefficient variable(&_vector_h1_gridfunc);
+  mfem::VectorCoefficient & function(_mfem_problem->getProperties().getVectorProperty("func2"));
+  check_boundary(
+      1,
+      _vector_h1_fes,
+      [&variable, &function](mfem::ElementTransformation * transform,
+                             const mfem::IntegrationPoint & point)
+      {
+        mfem::Vector actual(3), expected(3);
+        variable.Eval(actual, *transform, point);
+        function.Eval(expected, *transform, point);
+        actual -= expected;
+        return actual.Norml2();
+      },
+      1e-8);
+}
+
+/**
+ * Test MFEMVectorNormalDirichletBC can be constructed and applied successfully
+ */
+TEST_F(MFEMEssentialBCTest, MFEMVectorNormalDirichletBC)
+{
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMVectorNormalDirichletBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::vector<Real>>("values") = {1., 2., 3.};
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  auto & essential_bc =
+      addObject<MFEMVectorNormalDirichletBC>("MFEMVectorNormalDirichletBC", "bc1", bc_params);
+
+  EXPECT_EQ(essential_bc.getTrialVariableName(), "test_variable_name");
+  EXPECT_EQ(essential_bc.getTestVariableName(), "test_variable_name");
+
+  // Test applying the BC
+  essential_bc.ApplyBC(_vector_hdiv_gridfunc, _mfem_mesh_ptr->getMFEMParMeshPtr().get());
+
+  // Check the correct boundary values have been applied
+  mfem::VectorGridFunctionCoefficient variable(&_vector_hdiv_gridfunc);
+  mfem::Vector assigned_val({1., 2., 3.});
+  check_boundary(
+      1,
+      _vector_hdiv_fes,
+      [this, &variable, &assigned_val](mfem::ElementTransformation * transform,
+                                       const mfem::IntegrationPoint & point)
+      {
+        mfem::Vector actual(3), expected(3), normal = calc_normal(transform);
+        variable.Eval(actual, *transform, point);
+        expected = assigned_val;
+        actual -= expected;
+        // (actual - expected) should be perpendicular to the normal and have a dot product of 0.
+        return normal[0] * actual[0] + normal[1] * actual[1] + normal[2] * actual[2];
+      },
+      1e-8);
+}
+
+/**
+ * Test MFEMVectorFunctorNormalDirichletBC can be constructed and applied successfully
+ */
+TEST_F(MFEMEssentialBCTest, MFEMVectorFunctorNormalDirichletBC)
+{
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMVectorFunctorNormalDirichletBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::string>("vector_coefficient") = "func2";
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  auto & essential_bc = addObject<MFEMVectorFunctorNormalDirichletBC>(
+      "MFEMVectorFunctorNormalDirichletBC", "bc1", bc_params);
+
+  EXPECT_EQ(essential_bc.getTrialVariableName(), "test_variable_name");
+  EXPECT_EQ(essential_bc.getTestVariableName(), "test_variable_name");
+
+  // Test applying the BC
+  essential_bc.ApplyBC(_vector_hdiv_gridfunc, _mfem_mesh_ptr->getMFEMParMeshPtr().get());
+
+  // Check the correct boundary values have been applied
+  mfem::VectorGridFunctionCoefficient variable(&_vector_hdiv_gridfunc);
+  mfem::VectorCoefficient & function(_mfem_problem->getProperties().getVectorProperty("func2"));
+  check_boundary(
+      1,
+      _vector_hdiv_fes,
+      [this, &variable, &function](mfem::ElementTransformation * transform,
+                                   const mfem::IntegrationPoint & point)
+      {
+        mfem::Vector actual(3), expected(3), normal = calc_normal(transform);
+        variable.Eval(actual, *transform, point);
+        function.Eval(expected, *transform, point);
+        actual -= expected;
+        // (actual - expected) should be perpendicular to the normal and have a dot product of 0.
+        return normal[0] * actual[0] + normal[1] * actual[1] + normal[2] * actual[2];
+      },
+      1e-8);
+}
+
+/**
+ * Test MFEMVectorTangentialDirichletBC can be constructed and applied successfully
+ */
+TEST_F(MFEMEssentialBCTest, MFEMVectorTangentialDirichletBC)
+{
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMVectorTangentialDirichletBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::vector<Real>>("values") = {1., 2., 3.};
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  auto & essential_bc = addObject<MFEMVectorTangentialDirichletBC>(
+      "MFEMVectorTangentialDirichletBC", "bc1", bc_params);
+
+  EXPECT_EQ(essential_bc.getTrialVariableName(), "test_variable_name");
+  EXPECT_EQ(essential_bc.getTestVariableName(), "test_variable_name");
+
+  // Test applying the BC
+  essential_bc.ApplyBC(_vector_hcurl_gridfunc, _mfem_mesh_ptr->getMFEMParMeshPtr().get());
+  // Check the correct boundary values have been applied
+  mfem::VectorGridFunctionCoefficient variable(&_vector_hcurl_gridfunc);
+  mfem::Vector expected({1., 2., 3.});
+  check_boundary(
+      1,
+      _vector_hcurl_fes,
+      [this, &variable, &expected](mfem::ElementTransformation * transform,
+                                   const mfem::IntegrationPoint & point)
+      {
+        mfem::Vector actual(3), normal = calc_normal(transform), cross_prod(3);
+        variable.Eval(actual, *transform, point);
+        actual -= expected;
+        // (actual - expected) should be parallel to the normal and have a cross product of 0.
+        cross_prod = normal[1] * actual[2] - normal[2] * actual[1];
+        cross_prod = normal[2] * actual[0] - normal[0] * actual[2];
+        cross_prod = normal[0] * actual[1] - normal[1] * actual[0];
+        return cross_prod.Norml2();
+      },
+      1e-8);
+}
+
+/**
+ * Test MFEMVectorFunctorTangentialDirichletBC can be constructed and applied successfully
+ */
+TEST_F(MFEMEssentialBCTest, MFEMVectorFunctorTangentialDirichletBC)
+{
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMVectorFunctorTangentialDirichletBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::string>("vector_coefficient") = "func2";
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  auto & essential_bc = addObject<MFEMVectorFunctorTangentialDirichletBC>(
+      "MFEMVectorFunctorTangentialDirichletBC", "bc1", bc_params);
+
+  EXPECT_EQ(essential_bc.getTrialVariableName(), "test_variable_name");
+  EXPECT_EQ(essential_bc.getTestVariableName(), "test_variable_name");
+
+  // Test applying the BC
+  essential_bc.ApplyBC(_vector_hcurl_gridfunc, _mfem_mesh_ptr->getMFEMParMeshPtr().get());
+
+  // Check the correct boundary values have been applied
+  mfem::VectorGridFunctionCoefficient variable(&_vector_hcurl_gridfunc);
+  mfem::VectorCoefficient & function(_mfem_problem->getProperties().getVectorProperty("func2"));
+  check_boundary(
+      1,
+      _vector_hcurl_fes,
+      [this, &variable, &function](mfem::ElementTransformation * transform,
+                                   const mfem::IntegrationPoint & point)
+      {
+        mfem::Vector actual(3), expected(3), normal = calc_normal(transform), cross_prod(3);
+        variable.Eval(actual, *transform, point);
+        function.Eval(expected, *transform, point);
+        actual -= expected;
+        // (actual - expected) should be parallel to the normal and have a cross product of 0.
+        cross_prod = normal[1] * actual[2] - normal[2] * actual[1];
+        cross_prod = normal[2] * actual[0] - normal[0] * actual[2];
+        cross_prod = normal[0] * actual[1] - normal[1] * actual[0];
+        return cross_prod.Norml2();
+      },
+      1e-8);
+}
+
+#endif
diff --git a/unit/src/MFEMIntegratedBCTest.C b/unit/src/MFEMIntegratedBCTest.C
new file mode 100644
index 000000000000..d41e79482fdd
--- /dev/null
+++ b/unit/src/MFEMIntegratedBCTest.C
@@ -0,0 +1,187 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMObjectUnitTest.h"
+#include "MFEMScalarFunctorBoundaryIntegratedBC.h"
+#include "MFEMVectorBoundaryIntegratedBC.h"
+#include "MFEMVectorNormalIntegratedBC.h"
+#include "MFEMVectorFunctorBoundaryIntegratedBC.h"
+#include "MFEMVectorFunctorNormalIntegratedBC.h"
+#include "MFEMConvectiveHeatFluxBC.h"
+
+class MFEMIntegratedBCTest : public MFEMObjectUnitTest
+{
+public:
+  MFEMIntegratedBCTest() : MFEMObjectUnitTest("MooseUnitApp") {}
+};
+
+/**
+ * Test MFEMVectorNormalIntegratedBC creates an mfem::BoundaryNormalLFIntegrator successfully.
+ */
+TEST_F(MFEMIntegratedBCTest, MFEMVectorNormalIntegratedBC)
+{
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMVectorNormalIntegratedBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::vector<Real>>("values") = {1., 2., 3.};
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  MFEMVectorNormalIntegratedBC & integrated_bc =
+      addObject<MFEMVectorNormalIntegratedBC>("MFEMVectorNormalIntegratedBC", "bc1", bc_params);
+
+  // Test MFEMVectorNormalIntegratedBC returns an integrator of the expected type
+  auto lf_integrator =
+      dynamic_cast<mfem::BoundaryNormalLFIntegrator *>(integrated_bc.createLinearFormIntegrator());
+  ASSERT_NE(lf_integrator, nullptr);
+  delete lf_integrator;
+
+  auto blf_integrator = integrated_bc.createBilinearFormIntegrator();
+  ASSERT_EQ(blf_integrator, nullptr);
+  delete blf_integrator;
+}
+
+/**
+ * Test MFEMVectorNormalIntegratedBC creates an mfem::BoundaryNormalLFIntegrator successfully.
+ */
+TEST_F(MFEMIntegratedBCTest, MFEMVectorFunctorNormalIntegratedBC)
+{
+  // Construct boundary condition
+  InputParameters func_params = _factory.getValidParams("ParsedVectorFunction");
+  func_params.set<std::string>("expression_x") = "x + y";
+  func_params.set<std::string>("expression_y") = "x + y + 1";
+  func_params.set<std::string>("expression_z") = "x + y + 2";
+  _mfem_problem->addFunction("ParsedVectorFunction", "func1", func_params);
+  InputParameters bc_params = _factory.getValidParams("MFEMVectorFunctorNormalIntegratedBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::string>("vector_coefficient") = "func1";
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  MFEMVectorFunctorNormalIntegratedBC & integrated_bc =
+      addObject<MFEMVectorFunctorNormalIntegratedBC>(
+          "MFEMVectorFunctorNormalIntegratedBC", "bc1", bc_params);
+
+  // Test MFEMVectorNormalIntegratedBC returns an integrator of the expected type
+  auto lf_integrator =
+      dynamic_cast<mfem::BoundaryNormalLFIntegrator *>(integrated_bc.createLinearFormIntegrator());
+  ASSERT_NE(lf_integrator, nullptr);
+  delete lf_integrator;
+
+  auto blf_integrator = integrated_bc.createBilinearFormIntegrator();
+  ASSERT_EQ(blf_integrator, nullptr);
+  delete blf_integrator;
+}
+
+/**
+ * Test MFEMScalarFunctorBoundaryIntegratedBC creates the expected mfem::BoundaryIntegrator
+ * successfully.
+ */
+TEST_F(MFEMIntegratedBCTest, MFEMScalarFunctorBoundaryIntegratedBC)
+{
+  // Build required BC inputs
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<double>>("prop_values") = {3.0};
+  _mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params);
+
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMScalarFunctorBoundaryIntegratedBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::string>("coefficient") = "coef1";
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  MFEMScalarFunctorBoundaryIntegratedBC & integrated_bc =
+      addObject<MFEMScalarFunctorBoundaryIntegratedBC>(
+          "MFEMScalarFunctorBoundaryIntegratedBC", "bc1", bc_params);
+
+  // Test MFEMScalarFunctorBoundaryIntegratedBC returns an integrator of the expected type
+  auto lf_integrator =
+      dynamic_cast<mfem::BoundaryLFIntegrator *>(integrated_bc.createLinearFormIntegrator());
+  ASSERT_NE(lf_integrator, nullptr);
+  delete lf_integrator;
+
+  auto blf_integrator = integrated_bc.createBilinearFormIntegrator();
+  ASSERT_EQ(blf_integrator, nullptr);
+  delete blf_integrator;
+}
+
+/**
+ * Test MFEMConvectiveHeatFluxBC creates the expected mfem::BoundaryIntegrators successfully.
+ */
+TEST_F(MFEMIntegratedBCTest, MFEMConvectiveHeatFluxBC)
+{
+  // Build required BC inputs
+  InputParameters htc_params = _factory.getValidParams("ParsedFunction");
+  htc_params.set<std::string>("expression") = "1.0";
+  _mfem_problem->addFunction("ParsedFunction", "htc", htc_params);
+  _mfem_problem->getFunction("htc").initialSetup();
+  InputParameters Tinf_params = _factory.getValidParams("ParsedFunction");
+  Tinf_params.set<std::string>("expression") = "3.0";
+  _mfem_problem->addFunction("ParsedFunction", "Tinf", Tinf_params);
+
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMConvectiveHeatFluxBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::string>("heat_transfer_coefficient") = "htc";
+  bc_params.set<std::string>("T_infinity") = "Tinf";
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  MFEMConvectiveHeatFluxBC & integrated_bc =
+      addObject<MFEMConvectiveHeatFluxBC>("MFEMConvectiveHeatFluxBC", "bc1", bc_params);
+
+  // Test MFEMConvectiveHeatFluxBC returns an integrator of the expected type
+  auto lf_integrator =
+      dynamic_cast<mfem::BoundaryLFIntegrator *>(integrated_bc.createLinearFormIntegrator());
+  ASSERT_NE(lf_integrator, nullptr);
+  delete lf_integrator;
+
+  auto blf_integrator =
+      dynamic_cast<mfem::BoundaryMassIntegrator *>(integrated_bc.createBilinearFormIntegrator());
+  ASSERT_NE(blf_integrator, nullptr);
+  delete blf_integrator;
+}
+
+TEST_F(MFEMIntegratedBCTest, MFEMVectorBoundaryIntegratedBC)
+{
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMVectorBoundaryIntegratedBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  bc_params.set<std::vector<Real>>("values") = {1., 2., 3.};
+  auto & bc =
+      addObject<MFEMVectorBoundaryIntegratedBC>("MFEMVectorBoundaryIntegratedBC", "bc1", bc_params);
+
+  // Test MFEMVectorBoundaryIntegratedBC returns an integrator of the expected type
+  auto lf_integrator =
+      dynamic_cast<mfem::VectorBoundaryLFIntegrator *>(bc.createLinearFormIntegrator());
+  ASSERT_NE(lf_integrator, nullptr);
+  delete lf_integrator;
+
+  auto blf_integrator = bc.createBilinearFormIntegrator();
+  ASSERT_EQ(blf_integrator, nullptr);
+  delete blf_integrator;
+}
+
+TEST_F(MFEMIntegratedBCTest, MFEMVectorFunctorBoundaryIntegratedBC)
+{
+  // Build required BC inputs
+  InputParameters func_params = _factory.getValidParams("ParsedVectorFunction");
+  func_params.set<std::string>("expression_x") = "x + y";
+  func_params.set<std::string>("expression_y") = "x + y + 1";
+  func_params.set<std::string>("expression_z") = "x + y + 2";
+  _mfem_problem->addFunction("ParsedVectorFunction", "func1", func_params);
+
+  // Construct boundary condition
+  InputParameters bc_params = _factory.getValidParams("MFEMVectorFunctorBoundaryIntegratedBC");
+  bc_params.set<std::string>("variable") = "test_variable_name";
+  bc_params.set<std::vector<BoundaryName>>("boundary") = {"1"};
+  bc_params.set<std::string>("vector_coefficient") = "func1";
+  auto & bc = addObject<MFEMVectorFunctorBoundaryIntegratedBC>(
+      "MFEMVectorFunctorBoundaryIntegratedBC", "bc1", bc_params);
+
+  // Test MFEMVectorBoundaryIntegratedBC returns an integrator of the expected type
+  auto lf_integrator =
+      dynamic_cast<mfem::VectorBoundaryLFIntegrator *>(bc.createLinearFormIntegrator());
+  ASSERT_NE(lf_integrator, nullptr);
+  delete lf_integrator;
+
+  auto blf_integrator = bc.createBilinearFormIntegrator();
+  ASSERT_EQ(blf_integrator, nullptr);
+  delete blf_integrator;
+}
+
+#endif
diff --git a/unit/src/MFEMKernelTest.C b/unit/src/MFEMKernelTest.C
new file mode 100644
index 000000000000..ab85f4b82f64
--- /dev/null
+++ b/unit/src/MFEMKernelTest.C
@@ -0,0 +1,240 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMObjectUnitTest.h"
+#include "MFEMCurlCurlKernel.h"
+#include "MFEMDiffusionKernel.h"
+#include "MFEMDivDivKernel.h"
+#include "MFEMLinearElasticityKernel.h"
+#include "MFEMMixedVectorGradientKernel.h"
+#include "MFEMVectorDomainLFKernel.h"
+#include "MFEMVectorFEDomainLFKernel.h"
+#include "MFEMVectorFEMassKernel.h"
+#include "MFEMVectorFEWeakDivergenceKernel.h"
+
+class MFEMKernelTest : public MFEMObjectUnitTest
+{
+public:
+  MFEMKernelTest() : MFEMObjectUnitTest("MooseUnitApp") {}
+};
+
+/**
+ * Test MFEMCurlCurlKernel creates an mfem::CurlCurlIntegrator successfully.
+ */
+TEST_F(MFEMKernelTest, MFEMCurlCurlKernel)
+{
+  // Build required kernel inputs
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<Real>>("prop_values") = {2.0};
+  _mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params);
+
+  // Construct kernel
+  InputParameters kernel_params = _factory.getValidParams("MFEMCurlCurlKernel");
+  kernel_params.set<std::string>("variable") = "test_variable_name";
+  kernel_params.set<std::string>("coefficient") = "coef1";
+  MFEMCurlCurlKernel & kernel =
+      addObject<MFEMCurlCurlKernel>("MFEMCurlCurlKernel", "kernel1", kernel_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto integrator = dynamic_cast<mfem::CurlCurlIntegrator *>(kernel.createIntegrator());
+  ASSERT_NE(integrator, nullptr);
+  delete integrator;
+}
+
+/**
+ * Test MFEMDiffusionKernel creates an mfem::DiffusionIntegrator successfully.
+ */
+TEST_F(MFEMKernelTest, MFEMDiffusionKernel)
+{
+  // Build required kernel inputs
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<double>>("prop_values") = {2.0};
+  _mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params);
+
+  // Construct kernel
+  InputParameters kernel_params = _factory.getValidParams("MFEMDiffusionKernel");
+  kernel_params.set<std::string>("variable") = "test_variable_name";
+  kernel_params.set<std::string>("coefficient") = "coef1";
+  MFEMDiffusionKernel & kernel =
+      addObject<MFEMDiffusionKernel>("MFEMDiffusionKernel", "kernel1", kernel_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto integrator = dynamic_cast<mfem::DiffusionIntegrator *>(kernel.createIntegrator());
+  ASSERT_NE(integrator, nullptr);
+  delete integrator;
+}
+
+/**
+ * Test MFEMDiffusionKernel creates an mfem::DiffusionIntegrator successfully.
+ */
+TEST_F(MFEMKernelTest, MFEMDivDivKernel)
+{
+  // Build required kernel inputs
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<double>>("prop_values") = {2.0};
+  _mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params);
+
+  // Construct kernel
+  InputParameters kernel_params = _factory.getValidParams("MFEMDivDivKernel");
+  kernel_params.set<std::string>("variable") = "test_variable_name";
+  kernel_params.set<std::string>("coefficient") = "coef1";
+  auto & kernel = addObject<MFEMDivDivKernel>("MFEMDivDivKernel", "kernel1", kernel_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto integrator = dynamic_cast<mfem::DivDivIntegrator *>(kernel.createIntegrator());
+  ASSERT_NE(integrator, nullptr);
+  delete integrator;
+}
+
+/**
+ * Test MFEMLinearElasticityKernel creates an mfem::ElasticityIntegrator successfully.
+ */
+TEST_F(MFEMKernelTest, MFEMLinearElasticityKernel)
+{
+  // Build required kernel inputs
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"lambda", "mu"};
+  coef_params.set<std::vector<Real>>("prop_values") = {2.0, 3.0};
+  _mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params);
+
+  // Construct kernel
+  InputParameters kernel_params = _factory.getValidParams("MFEMLinearElasticityKernel");
+  kernel_params.set<std::string>("variable") = "test_variable_name";
+  kernel_params.set<std::string>("lambda") = "lambda";
+  kernel_params.set<std::string>("mu") = "mu";
+  MFEMLinearElasticityKernel & kernel =
+      addObject<MFEMLinearElasticityKernel>("MFEMLinearElasticityKernel", "kernel1", kernel_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto integrator = dynamic_cast<mfem::ElasticityIntegrator *>(kernel.createIntegrator());
+  ASSERT_NE(integrator, nullptr);
+  delete integrator;
+}
+
+/**
+ * Test MFEMMixedVectorGradientKernel creates an mfem::MixedVectorGradientIntegrator successfully.
+ */
+TEST_F(MFEMKernelTest, MFEMMixedVectorGradientKernel)
+{
+  // Build required kernel inputs
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<double>>("prop_values") = {2.0};
+  _mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params);
+
+  // Construct kernel
+  InputParameters kernel_params = _factory.getValidParams("MFEMMixedVectorGradientKernel");
+  kernel_params.set<std::string>("variable") = "test_variable_name";
+  kernel_params.set<std::string>("coefficient") = "coef1";
+  MFEMMixedVectorGradientKernel & kernel = addObject<MFEMMixedVectorGradientKernel>(
+      "MFEMMixedVectorGradientKernel", "kernel1", kernel_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto integrator = dynamic_cast<mfem::MixedVectorGradientIntegrator *>(kernel.createIntegrator());
+  ASSERT_NE(integrator, nullptr);
+  delete integrator;
+}
+
+/**
+ * Test MFEMVectorDomainLFKernel creates an mfem::VectorDomainLFIntegrator successfully.
+ */
+TEST_F(MFEMKernelTest, MFEMVectorDomainLFKernel)
+{
+  mfem::Vector expected1({2.0, 1.0, 0.0});
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantVectorMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<Real>>("prop_values") = {expected1[0], expected1[1], expected1[2]};
+  _mfem_problem->addMaterial("MFEMGenericConstantVectorMaterial", "material1", coef_params);
+
+  // Construct kernel
+  InputParameters kernel_params = _factory.getValidParams("MFEMVectorDomainLFKernel");
+  kernel_params.set<std::string>("variable") = "test_variable_name";
+  kernel_params.set<std::string>("vector_coefficient") = "coef1";
+  MFEMVectorDomainLFKernel & kernel =
+      addObject<MFEMVectorDomainLFKernel>("MFEMVectorDomainLFKernel", "kernel1", kernel_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto integrator = dynamic_cast<mfem::VectorDomainLFIntegrator *>(kernel.createIntegrator());
+  ASSERT_NE(integrator, nullptr);
+  delete integrator;
+}
+
+/**
+ * Test MFEMVectorFEDomainLFKernel creates an mfem::VectorFEDomainLFIntegrator successfully.
+ */
+TEST_F(MFEMKernelTest, MFEMVectorFEDomainLFKernel)
+{
+  // Build required kernel inputs
+  InputParameters func_params1 = _factory.getValidParams("ParsedVectorFunction");
+  func_params1.set<std::string>("expression_x") = "1.";
+  func_params1.set<std::string>("expression_y") = "2.";
+  func_params1.set<std::string>("expression_z") = "3.";
+  _mfem_problem->addFunction("ParsedVectorFunction", "vec_coef1", func_params1);
+  _mfem_problem->getFunction("vec_coef1").initialSetup();
+
+  // Construct kernel
+  InputParameters kernel_params = _factory.getValidParams("MFEMVectorFEDomainLFKernel");
+  kernel_params.set<std::string>("variable") = "test_variable_name";
+  kernel_params.set<std::string>("vector_coefficient") = "vec_coef1";
+  MFEMVectorFEDomainLFKernel & kernel =
+      addObject<MFEMVectorFEDomainLFKernel>("MFEMVectorFEDomainLFKernel", "kernel1", kernel_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto integrator = dynamic_cast<mfem::VectorFEDomainLFIntegrator *>(kernel.createIntegrator());
+  ASSERT_NE(integrator, nullptr);
+  delete integrator;
+}
+
+/**
+ * Test MFEMVectorFEMassKernel creates an mfem::VectorFEMassIntegrator successfully.
+ */
+TEST_F(MFEMKernelTest, MFEMVectorFEMassKernel)
+{
+  // Build required kernel inputs
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<double>>("prop_values") = {2.0};
+  _mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params);
+
+  // Construct kernel
+  InputParameters kernel_params = _factory.getValidParams("MFEMVectorFEMassKernel");
+  kernel_params.set<std::string>("variable") = "test_variable_name";
+  kernel_params.set<std::string>("coefficient") = "coef1";
+  MFEMVectorFEMassKernel & kernel =
+      addObject<MFEMVectorFEMassKernel>("MFEMVectorFEMassKernel", "kernel1", kernel_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto integrator = dynamic_cast<mfem::VectorFEMassIntegrator *>(kernel.createIntegrator());
+  ASSERT_NE(integrator, nullptr);
+  delete integrator;
+}
+
+/**
+ * Test MFEMVectorFEWeakDivergenceKernel creates an mfem::VectorFEWeakDivergenceIntegrator
+ * successfully.
+ */
+TEST_F(MFEMKernelTest, MFEMVectorFEWeakDivergenceKernel)
+{
+  // Build required kernel inputs
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<double>>("prop_values") = {2.0};
+  _mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params);
+
+  // Construct kernel
+  InputParameters kernel_params = _factory.getValidParams("MFEMVectorFEWeakDivergenceKernel");
+  kernel_params.set<std::string>("variable") = "test_variable_name";
+  kernel_params.set<std::string>("coefficient") = "coef1";
+  MFEMVectorFEWeakDivergenceKernel & kernel = addObject<MFEMVectorFEWeakDivergenceKernel>(
+      "MFEMVectorFEWeakDivergenceKernel", "kernel1", kernel_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto integrator =
+      dynamic_cast<mfem::VectorFEWeakDivergenceIntegrator *>(kernel.createIntegrator());
+  ASSERT_NE(integrator, nullptr);
+  delete integrator;
+}
+
+#endif
diff --git a/unit/src/MFEMMaterialTest.C b/unit/src/MFEMMaterialTest.C
new file mode 100644
index 000000000000..ff007f583ff3
--- /dev/null
+++ b/unit/src/MFEMMaterialTest.C
@@ -0,0 +1,459 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMObjectUnitTest.h"
+#include "MFEMGenericConstantMaterial.h"
+#include "MFEMGenericConstantVectorMaterial.h"
+#include "MFEMGenericFunctionMaterial.h"
+#include "MFEMGenericFunctionVectorMaterial.h"
+
+class MFEMMaterialTest : public MFEMObjectUnitTest
+{
+public:
+  mfem::IsoparametricTransformation fe_transform;
+  mfem::IntegrationPoint point1, point2;
+  MFEMMaterialTest() : MFEMObjectUnitTest("MooseUnitApp")
+  {
+    point1.Init(3);
+    point1.Set3(0., 0., 0.);
+    point2.Init(3);
+    point2.Set3(0.5, 1., 0.);
+    fe_transform.SetIdentityTransformation(mfem::Geometry::CUBE);
+  }
+};
+
+class MFEMFunctionMaterialTest : public MFEMMaterialTest
+{
+public:
+  MFEMFunctionMaterialTest() : MFEMMaterialTest()
+  {
+    InputParameters func_params1 = _factory.getValidParams("ParsedFunction");
+    func_params1.set<std::string>("expression") = "x + y";
+    _mfem_problem->addFunction("ParsedFunction", "func1", func_params1);
+    _mfem_problem->getFunction("func1").initialSetup();
+    InputParameters func_params2 = _factory.getValidParams("ParsedFunction");
+    func_params2.set<std::string>("expression") = "x * y";
+    _mfem_problem->addFunction("ParsedFunction", "func2", func_params2);
+    _mfem_problem->getFunction("func2").initialSetup();
+  }
+};
+
+class MFEMFunctionVectorMaterialTest : public MFEMMaterialTest
+{
+public:
+  MFEMFunctionVectorMaterialTest() : MFEMMaterialTest()
+  {
+    InputParameters func_params1 = _factory.getValidParams("ParsedVectorFunction");
+    func_params1.set<std::string>("expression_x") = "x + y";
+    func_params1.set<std::string>("expression_y") = "x + y + 1";
+    func_params1.set<std::string>("expression_z") = "x + y + 2";
+    _mfem_problem->addFunction("ParsedVectorFunction", "func1", func_params1);
+    _mfem_problem->getFunction("func1").initialSetup();
+    InputParameters func_params2 = _factory.getValidParams("ParsedVectorFunction");
+    func_params2.set<std::string>("expression_x") = "x * y";
+    func_params2.set<std::string>("expression_y") = "2 * x * y";
+    func_params2.set<std::string>("expression_z") = "3 * x * y";
+    _mfem_problem->addFunction("ParsedVectorFunction", "func2", func_params2);
+    _mfem_problem->getFunction("func2").initialSetup();
+  }
+};
+
+/**
+ * Test whether an MFEMConstantMaterial creates ConstantCoefficients.
+ */
+TEST_F(MFEMMaterialTest, MFEMGenericConstantMaterial)
+{
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1", "coef2"};
+  coef_params.set<std::vector<Real>>("prop_values") = {2.0, 1.0};
+  _mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params);
+
+  mfem::Coefficient & coef1 = _mfem_problem->getProperties().getScalarProperty("coef1");
+  auto c1 = dynamic_cast<mfem::ConstantCoefficient *>(&coef1);
+  EXPECT_NE(c1, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 2.0);
+  EXPECT_EQ(coef1.Eval(fe_transform, point2), 2.0);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 2.0);
+
+  mfem::Coefficient & coef2 = _mfem_problem->getProperties().getScalarProperty("coef2");
+  auto c2 = dynamic_cast<mfem::ConstantCoefficient *>(&coef2);
+  EXPECT_NE(c2, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(coef2.Eval(fe_transform, point1), 1.0);
+  EXPECT_EQ(coef2.Eval(fe_transform, point2), 1.0);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(coef2.Eval(fe_transform, point1), 1.0);
+}
+
+/**
+ * Test whether an MFEMConstantMaterial can create piecewise coefficients.
+ */
+TEST_F(MFEMMaterialTest, MFEMGenericConstantMaterial_PW)
+{
+  InputParameters coef_params1 = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params1.set<std::vector<std::string>>("prop_names") = {"coef1", "coef2"};
+  coef_params1.set<std::vector<Real>>("prop_values") = {2.0, 1.0};
+  coef_params1.set<std::vector<SubdomainName>>("block") = {"1", "2"};
+  _mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params1);
+  InputParameters coef_params2 = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params2.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params2.set<std::vector<Real>>("prop_values") = {3.0};
+  coef_params2.set<std::vector<SubdomainName>>("block") = {"3"};
+  _mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material2", coef_params2);
+
+  mfem::Coefficient & coef1 = _mfem_problem->getProperties().getScalarProperty("coef1");
+  auto c1 = dynamic_cast<mfem::PWCoefficient *>(&coef1);
+  EXPECT_NE(c1, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 2.0);
+  EXPECT_EQ(coef1.Eval(fe_transform, point2), 2.0);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 2.0);
+  fe_transform.Attribute = 3;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 3.0);
+  fe_transform.Attribute = 4;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 0.0);
+
+  mfem::Coefficient & coef2 = _mfem_problem->getProperties().getScalarProperty("coef2");
+  auto c2 = dynamic_cast<mfem::PWCoefficient *>(&coef2);
+  EXPECT_NE(c2, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(coef2.Eval(fe_transform, point1), 1.0);
+  EXPECT_EQ(coef2.Eval(fe_transform, point2), 1.0);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(coef2.Eval(fe_transform, point1), 1.0);
+  fe_transform.Attribute = 3;
+  EXPECT_EQ(coef2.Eval(fe_transform, point1), 0.0);
+  fe_transform.Attribute = 4;
+  EXPECT_EQ(coef2.Eval(fe_transform, point1), 0.0);
+}
+
+/**
+ * Test how MFEMGenericConstantMaterial behaves when the wrong number
+ * of property names/values are passed.
+ */
+TEST_F(MFEMMaterialTest, MFEMGenericConstantMaterial_Exception)
+{
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1", "coef2"};
+  coef_params.set<std::vector<Real>>("prop_values") = {2.0};
+  EXPECT_THROW(_mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params),
+               std::runtime_error);
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<Real>>("prop_values") = {2.0, 1.0};
+  EXPECT_THROW(_mfem_problem->addMaterial("MFEMGenericConstantMaterial", "material1", coef_params),
+               std::runtime_error);
+}
+
+testing::AssertionResult
+check_vector(mfem::VectorCoefficient & coef,
+             mfem::IsoparametricTransformation & fe_transform,
+             mfem::IntegrationPoint & point,
+             const mfem::Vector & expected)
+{
+  mfem::Vector vec;
+  coef.Eval(vec, fe_transform, point);
+  int errors = 0;
+  if (vec[0] != expected[0])
+    errors++;
+  if (vec[1] != expected[1])
+    errors++;
+  if (vec[2] != expected[2])
+    errors++;
+  if (errors > 1)
+  {
+    return testing::AssertionFailure() << "Vector [" << vec[0] << ", " << vec[1] << ", " << vec[2]
+                                       << "] does not match expected value [" << expected[0] << ", "
+                                       << expected[1] << ", " << expected[2] << "]";
+  }
+  else
+  {
+    return testing::AssertionSuccess();
+  }
+}
+
+/**
+ * Test whether an MFEMConstantVectorMaterial creates ConstantCoefficients.
+ */
+TEST_F(MFEMMaterialTest, MFEMGenericConstantVectorMaterial)
+{
+  mfem::Vector expected1({2.0, 1.0, 0.0}), expected2({5.0, 5.5, 6.0});
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantVectorMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1", "coef2"};
+  coef_params.set<std::vector<Real>>("prop_values") = {
+      expected1[0], expected1[1], expected1[2], expected2[0], expected2[1], expected2[2]};
+  _mfem_problem->addMaterial("MFEMGenericConstantVectorMaterial", "material1", coef_params);
+
+  mfem::VectorCoefficient & coef1 = _mfem_problem->getProperties().getVectorProperty("coef1");
+  auto c1 = dynamic_cast<mfem::VectorConstantCoefficient *>(&coef1);
+  EXPECT_NE(c1, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point1, expected1));
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point2, expected1));
+  fe_transform.Attribute = 2;
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point1, expected1));
+
+  mfem::VectorCoefficient & coef2 = _mfem_problem->getProperties().getVectorProperty("coef2");
+  auto c2 = dynamic_cast<mfem::VectorConstantCoefficient *>(&coef2);
+  EXPECT_NE(c2, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point1, expected2));
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point2, expected2));
+  fe_transform.Attribute = 2;
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point2, expected2));
+}
+
+/**
+ * Test whether an MFEMConstantVectorMaterial can create piecewise coefficients.
+ */
+TEST_F(MFEMMaterialTest, MFEMGenericConstantVectorMaterial_PW)
+{
+  mfem::Vector expected1({2.0, 1.0, 0.0}), expected2({5.0, 5.5, 6.0}), zero({0., 0., 0.});
+  InputParameters coef_params1 = _factory.getValidParams("MFEMGenericConstantVectorMaterial");
+  coef_params1.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params1.set<std::vector<Real>>("prop_values") = {expected1[0], expected1[1], expected1[2]};
+  coef_params1.set<std::vector<SubdomainName>>("block") = {"1"};
+  _mfem_problem->addMaterial("MFEMGenericConstantVectorMaterial", "material1", coef_params1);
+  InputParameters coef_params2 = _factory.getValidParams("MFEMGenericConstantVectorMaterial");
+  coef_params2.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params2.set<std::vector<Real>>("prop_values") = {expected2[0], expected2[1], expected2[2]};
+  coef_params2.set<std::vector<SubdomainName>>("block") = {"2"};
+  _mfem_problem->addMaterial("MFEMGenericConstantVectorMaterial", "material2", coef_params2);
+
+  mfem::VectorCoefficient & coef = _mfem_problem->getProperties().getVectorProperty("coef1");
+  fe_transform.Attribute = 1;
+  EXPECT_TRUE(check_vector(coef, fe_transform, point1, expected1));
+  EXPECT_TRUE(check_vector(coef, fe_transform, point2, expected1));
+  fe_transform.Attribute = 2;
+  EXPECT_TRUE(check_vector(coef, fe_transform, point1, expected2));
+  EXPECT_TRUE(check_vector(coef, fe_transform, point2, expected2));
+  fe_transform.Attribute = 3;
+  EXPECT_TRUE(check_vector(coef, fe_transform, point1, zero));
+  EXPECT_TRUE(check_vector(coef, fe_transform, point2, zero));
+}
+
+/**
+ * Test how MFEMGenericConstantVectorMaterial behaves when the wrong number
+ * of property names/values are passed.
+ */
+TEST_F(MFEMMaterialTest, MFEMGenericConstantVectorMaterial_Exception)
+{
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericConstantVectorMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1", "coef2"};
+  coef_params.set<std::vector<Real>>("prop_values") = {2.0, 1.0, 3.0, 4.0};
+  EXPECT_THROW(
+      _mfem_problem->addMaterial("MFEMGenericConstantVectorMaterial", "material1", coef_params),
+      std::runtime_error);
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<Real>>("prop_values") = {2.0, 1.0, 0.0, -1.0};
+  EXPECT_THROW(
+      _mfem_problem->addMaterial("MFEMGenericConstantVectorMaterial", "material1", coef_params),
+      std::runtime_error);
+}
+
+/**
+ * Test whether an MFEMGenericFunctionMaterial creates FunctionCoefficients.
+ */
+TEST_F(MFEMFunctionMaterialTest, MFEMGenericFunctionMaterial)
+{
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericFunctionMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1", "coef2"};
+  coef_params.set<std::vector<FunctionName>>("prop_values") = {"func1", "func2"};
+  _mfem_problem->addMaterial("MFEMGenericFunctionMaterial", "material1", coef_params);
+
+  mfem::Coefficient & coef1 = _mfem_problem->getProperties().getScalarProperty("coef1");
+  auto c1 = dynamic_cast<mfem::FunctionCoefficient *>(&coef1);
+  EXPECT_NE(c1, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(coef1.Eval(fe_transform, point2), 1.5);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 0.0);
+
+  mfem::Coefficient & coef2 = _mfem_problem->getProperties().getScalarProperty("coef2");
+  auto c2 = dynamic_cast<mfem::FunctionCoefficient *>(&coef2);
+  EXPECT_NE(c2, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(coef2.Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(coef2.Eval(fe_transform, point2), 0.5);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(coef2.Eval(fe_transform, point2), 0.5);
+}
+
+/**
+ * Test whether an MFEMFunctionMaterial can create piecewise coefficients.
+ */
+TEST_F(MFEMFunctionMaterialTest, MFEMGenericFunctionMaterial_PW)
+{
+  InputParameters coef_params1 = _factory.getValidParams("MFEMGenericFunctionMaterial");
+  coef_params1.set<std::vector<std::string>>("prop_names") = {"coef1", "coef2"};
+  coef_params1.set<std::vector<FunctionName>>("prop_values") = {"func1", "func2"};
+  coef_params1.set<std::vector<SubdomainName>>("block") = {"1", "2"};
+  _mfem_problem->addMaterial("MFEMGenericFunctionMaterial", "material1", coef_params1);
+  InputParameters coef_params2 = _factory.getValidParams("MFEMGenericFunctionMaterial");
+  coef_params2.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params2.set<std::vector<FunctionName>>("prop_values") = {"func2"};
+  coef_params2.set<std::vector<SubdomainName>>("block") = {"3"};
+  _mfem_problem->addMaterial("MFEMGenericFunctionMaterial", "material2", coef_params2);
+
+  mfem::Coefficient & coef1 = _mfem_problem->getProperties().getScalarProperty("coef1");
+  auto c1 = dynamic_cast<mfem::PWCoefficient *>(&coef1);
+  EXPECT_NE(c1, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(coef1.Eval(fe_transform, point2), 1.5);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(coef1.Eval(fe_transform, point2), 1.5);
+  fe_transform.Attribute = 3;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(coef1.Eval(fe_transform, point2), 0.5);
+  fe_transform.Attribute = 4;
+  EXPECT_EQ(coef1.Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(coef1.Eval(fe_transform, point2), 0.0);
+
+  mfem::Coefficient & coef2 = _mfem_problem->getProperties().getScalarProperty("coef2");
+  auto c2 = dynamic_cast<mfem::PWCoefficient *>(&coef2);
+  EXPECT_NE(c2, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(coef2.Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(coef2.Eval(fe_transform, point2), 0.5);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(coef2.Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(coef2.Eval(fe_transform, point2), 0.5);
+  fe_transform.Attribute = 3;
+  EXPECT_EQ(coef2.Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(coef2.Eval(fe_transform, point2), 0.0);
+  fe_transform.Attribute = 4;
+  EXPECT_EQ(coef2.Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(coef2.Eval(fe_transform, point2), 0.0);
+}
+
+/**
+ * Test how MFEMGenericFunctionMaterial behaves when the wrong number
+ * of property names/values are passed.
+ */
+TEST_F(MFEMFunctionMaterialTest, MFEMGenericFunctionMaterial_Exception)
+{
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericFunctionMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1", "coef2"};
+  coef_params.set<std::vector<FunctionName>>("prop_values") = {"func1"};
+  EXPECT_THROW(_mfem_problem->addMaterial("MFEMGenericFunctionMaterial", "material1", coef_params),
+               std::runtime_error);
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<FunctionName>>("prop_values") = {"func1", "func2"};
+  EXPECT_THROW(_mfem_problem->addMaterial("MFEMGenericFunctionMaterial", "material1", coef_params),
+               std::runtime_error);
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<FunctionName>>("prop_values") = {"func3"};
+  EXPECT_THROW(_mfem_problem->addMaterial("MFEMGenericFunctionMaterial", "material1", coef_params),
+               std::runtime_error);
+}
+
+/**
+ * Test whether an MFEMGenericFunctionVectorMaterial creates FunctionCoefficients.
+ */
+TEST_F(MFEMFunctionVectorMaterialTest, MFEMGenericFunctionVectorMaterial)
+{
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericFunctionVectorMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1", "coef2"};
+  coef_params.set<std::vector<FunctionName>>("prop_values") = {"func1", "func2"};
+  _mfem_problem->addMaterial("MFEMGenericFunctionVectorMaterial", "material1", coef_params);
+  mfem::Vector a({0., 1., 2.}), b({1.5, 2.5, 3.5}), c({0., 0., 0.}), d({0.5, 1., 1.5});
+
+  mfem::VectorCoefficient & coef1 = _mfem_problem->getProperties().getVectorProperty("coef1");
+  auto c1 = dynamic_cast<mfem::VectorFunctionCoefficient *>(&coef1);
+  EXPECT_NE(c1, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point1, a));
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point2, b));
+  fe_transform.Attribute = 2;
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point1, a));
+
+  mfem::VectorCoefficient & coef2 = _mfem_problem->getProperties().getVectorProperty("coef2");
+  auto c2 = dynamic_cast<mfem::VectorFunctionCoefficient *>(&coef2);
+  EXPECT_NE(c2, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point1, c));
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point2, d));
+  fe_transform.Attribute = 2;
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point2, d));
+}
+
+/**
+ * Test whether an MFEMFunctionVectorMaterial can create piecewise coefficients.
+ */
+TEST_F(MFEMFunctionVectorMaterialTest, MFEMGenericFunctionVectorMaterial_PW)
+{
+  InputParameters coef_params1 = _factory.getValidParams("MFEMGenericFunctionVectorMaterial");
+  coef_params1.set<std::vector<std::string>>("prop_names") = {"coef1", "coef2"};
+  coef_params1.set<std::vector<FunctionName>>("prop_values") = {"func1", "func2"};
+  coef_params1.set<std::vector<SubdomainName>>("block") = {"1", "2"};
+  _mfem_problem->addMaterial("MFEMGenericFunctionVectorMaterial", "material1", coef_params1);
+  InputParameters coef_params2 = _factory.getValidParams("MFEMGenericFunctionVectorMaterial");
+  coef_params2.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params2.set<std::vector<FunctionName>>("prop_values") = {"func2"};
+  coef_params2.set<std::vector<SubdomainName>>("block") = {"3"};
+  _mfem_problem->addMaterial("MFEMGenericFunctionVectorMaterial", "material2", coef_params2);
+  mfem::Vector a({0., 1., 2.}), b({1.5, 2.5, 3.5}), c({0., 0., 0.}), d({0.5, 1., 1.5}),
+      zero({0., 0., 0.});
+
+  mfem::VectorCoefficient & coef1 = _mfem_problem->getProperties().getVectorProperty("coef1");
+  auto c1 = dynamic_cast<mfem::PWVectorCoefficient *>(&coef1);
+  EXPECT_NE(c1, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point1, a));
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point2, b));
+  fe_transform.Attribute = 2;
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point1, a));
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point2, b));
+  fe_transform.Attribute = 3;
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point1, c));
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point2, d));
+  fe_transform.Attribute = 4;
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point1, zero));
+  EXPECT_TRUE(check_vector(coef1, fe_transform, point2, zero));
+
+  mfem::VectorCoefficient & coef2 = _mfem_problem->getProperties().getVectorProperty("coef2");
+  auto c2 = dynamic_cast<mfem::PWVectorCoefficient *>(&coef2);
+  EXPECT_NE(c2, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point1, c));
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point2, d));
+  fe_transform.Attribute = 2;
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point1, c));
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point2, d));
+  fe_transform.Attribute = 3;
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point1, zero));
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point2, zero));
+  fe_transform.Attribute = 4;
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point1, zero));
+  EXPECT_TRUE(check_vector(coef2, fe_transform, point2, zero));
+}
+
+/**
+ * Test how MFEMGenericFunctionVectorMaterial behaves when the wrong number
+ * of property names/values are passed.
+ */
+TEST_F(MFEMFunctionVectorMaterialTest, MFEMGenericFunctionVectorMaterial_Exception)
+{
+  InputParameters coef_params = _factory.getValidParams("MFEMGenericFunctionVectorMaterial");
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1", "coef2"};
+  coef_params.set<std::vector<FunctionName>>("prop_values") = {"func1"};
+  EXPECT_THROW(
+      _mfem_problem->addMaterial("MFEMGenericFunctionVectorMaterial", "material1", coef_params),
+      std::runtime_error);
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<FunctionName>>("prop_values") = {"func1", "func2"};
+  EXPECT_THROW(
+      _mfem_problem->addMaterial("MFEMGenericFunctionVectorMaterial", "material1", coef_params),
+      std::runtime_error);
+  coef_params.set<std::vector<std::string>>("prop_names") = {"coef1"};
+  coef_params.set<std::vector<FunctionName>>("prop_values") = {"func3"};
+  EXPECT_THROW(
+      _mfem_problem->addMaterial("MFEMGenericFunctionVectorMaterial", "material1", coef_params),
+      std::runtime_error);
+}
+
+#endif
diff --git a/unit/src/MFEMMeshTest.C b/unit/src/MFEMMeshTest.C
new file mode 100644
index 000000000000..7d3643df3a78
--- /dev/null
+++ b/unit/src/MFEMMeshTest.C
@@ -0,0 +1,152 @@
+#ifdef MFEM_ENABLED
+
+#include "gtest/gtest.h"
+#include "MFEMMesh.h"
+#include "MooseMain.h"
+
+class MFEMMeshTest : public ::testing::Test
+{
+protected:
+  void SetUp() override;
+  void buildMFEMMesh(MeshFileName filename, int serial_ref = 0, int parallel_ref = 0);
+
+  std::shared_ptr<MooseApp> _app;
+  Factory * _factory;
+  std::string _mesh_type;
+  std::shared_ptr<MFEMMesh> _mfem_mesh_ptr;
+};
+
+/**
+ * Create app MFEMMesh object will be added to.
+ */
+void
+MFEMMeshTest::SetUp()
+{
+  const char * argv[2] = {"foo", "\0"};
+  _app = Moose::createMooseApp("MooseUnitApp", 1, (char **)argv);
+  _factory = &_app->getFactory();
+  _mesh_type = "MFEMMesh";
+}
+
+/**
+ * Helper method to set up and build mesh given mesh filename.
+ */
+void
+MFEMMeshTest::buildMFEMMesh(MeshFileName filename, int serial_ref, int parallel_ref)
+{
+  InputParameters params = _factory->getValidParams(_mesh_type);
+  params.set<MeshFileName>("file") = filename;
+  params.set<int>("serial_refine") = serial_ref;
+  params.set<int>("parallel_refine") = parallel_ref;
+  _mfem_mesh_ptr = _factory->create<MFEMMesh>(_mesh_type, "moose_mesh", params);
+  _app->actionWarehouse().mesh() = _mfem_mesh_ptr;
+  _mfem_mesh_ptr->setMeshBase(_mfem_mesh_ptr->buildMeshBaseObject());
+  _mfem_mesh_ptr->buildMesh();
+}
+
+/**
+ * Test MFEMMesh can read Exodus II format meshes. Note that nodesets must be present.
+ */
+TEST_F(MFEMMeshTest, ExodusIIFormatReader)
+{
+  buildMFEMMesh("data/mug.e");
+  mfem::ParMesh & pmesh(_mfem_mesh_ptr->getMFEMParMesh());
+
+  // Check expected number of vertices have been read
+  EXPECT_EQ(pmesh.GetNV(), 3774);
+  // Check expected number of elements have been read
+  EXPECT_EQ(pmesh.GetNE(), 2476);
+  // Check expected number of boundary elements have been read
+  EXPECT_EQ(pmesh.GetNBE(), 554);
+  // Check expected number of edges have been read
+  EXPECT_EQ(pmesh.GetNEdges(), 10001);
+  // Check expected number of faces have been read
+  EXPECT_EQ(pmesh.GetNFaces(), 8704);
+  // Check expected number of boundary attributes (sidesets) have been read
+  EXPECT_EQ(pmesh.bdr_attributes.Size(), 2);
+  // Check expected number of element attributes (blocks) have been read
+  EXPECT_EQ(pmesh.attributes.Size(), 1);
+
+  // Test MFEMMesh can be cloned
+  ASSERT_NE(_mfem_mesh_ptr->safeClone(), nullptr);
+}
+
+/**
+ * Test MFEMMesh can read MFEM format meshes.
+ */
+TEST_F(MFEMMeshTest, MFEMMeshFormatReader)
+{
+  buildMFEMMesh("data/beam-tet.mesh");
+  mfem::ParMesh & pmesh(_mfem_mesh_ptr->getMFEMParMesh());
+
+  // Check expected number of vertices have been read
+  EXPECT_EQ(pmesh.GetNV(), 36);
+  // Check expected number of elements have been read
+  EXPECT_EQ(pmesh.GetNE(), 48);
+  // Check expected number of boundary elements have been read
+  EXPECT_EQ(pmesh.GetNBE(), 68);
+  // Check expected number of edges have been read
+  EXPECT_EQ(pmesh.GetNEdges(), 117);
+  // Check expected number of faces have been read
+  EXPECT_EQ(pmesh.GetNFaces(), 130);
+  // Check expected number of boundary attributes (sidesets) have been read
+  EXPECT_EQ(pmesh.bdr_attributes.Size(), 3);
+  // Check expected number of element attributes (blocks) have been read
+  EXPECT_EQ(pmesh.attributes.Size(), 2);
+
+  // Test MFEMMesh can be cloned
+  ASSERT_NE(_mfem_mesh_ptr->safeClone(), nullptr);
+}
+
+/**
+ * Test MFEMMesh can read a high order MFEM format mesh.
+ */
+TEST_F(MFEMMeshTest, MFEMHighOrderMeshFormatReader)
+{
+  buildMFEMMesh("data/fichera-q3.mesh");
+  mfem::ParMesh & pmesh(_mfem_mesh_ptr->getMFEMParMesh());
+
+  // Check expected number of vertices have been read
+  EXPECT_EQ(pmesh.GetNV(), 26);
+  // Check expected number of elements have been read
+  EXPECT_EQ(pmesh.GetNE(), 7);
+  // Check expected number of boundary elements have been read
+  EXPECT_EQ(pmesh.GetNBE(), 24);
+  // Check expected number of edges have been read
+  EXPECT_EQ(pmesh.GetNEdges(), 51);
+  // Check expected number of faces have been read
+  EXPECT_EQ(pmesh.GetNFaces(), 33);
+  // Check expected number of boundary attributes (sidesets) have been read
+  EXPECT_EQ(pmesh.bdr_attributes.Size(), 24);
+  // Check expected number of element attributes (blocks) have been read
+  EXPECT_EQ(pmesh.attributes.Size(), 1);
+
+  // Test MFEMMesh can be cloned
+  ASSERT_NE(_mfem_mesh_ptr->safeClone(), nullptr);
+}
+
+TEST_F(MFEMMeshTest, Refinement)
+{
+  buildMFEMMesh("data/fichera-q3.mesh", 1, 2);
+  mfem::ParMesh & pmesh(_mfem_mesh_ptr->getMFEMParMesh());
+
+  // Check expected number of vertices have been read
+  EXPECT_EQ(pmesh.GetNV(), 4401);
+  // Check expected number of elements have been read
+  EXPECT_EQ(pmesh.GetNE(), 3584);
+  // Check expected number of boundary elements have been read
+  EXPECT_EQ(pmesh.GetNBE(), 1536);
+  // Check expected number of edges have been read
+  EXPECT_EQ(pmesh.GetNEdges(), 12336);
+  // Check expected number of faces have been read
+  EXPECT_EQ(pmesh.GetNFaces(), 11520);
+  // Check expected number of boundary attributes (sidesets) have been read
+  EXPECT_EQ(pmesh.bdr_attributes.Size(), 24);
+  // Check expected number of element attributes (blocks) have been read
+  EXPECT_EQ(pmesh.attributes.Size(), 1);
+
+  // Test MFEMMesh can be cloned
+  ASSERT_NE(_mfem_mesh_ptr->safeClone(), nullptr);
+}
+
+#endif
diff --git a/unit/src/MFEMSolverTest.C b/unit/src/MFEMSolverTest.C
new file mode 100644
index 000000000000..a4244adbd757
--- /dev/null
+++ b/unit/src/MFEMSolverTest.C
@@ -0,0 +1,266 @@
+#ifdef MFEM_ENABLED
+
+#include "MFEMObjectUnitTest.h"
+#include "MFEMHypreGMRES.h"
+#include "MFEMHypreFGMRES.h"
+#include "MFEMHyprePCG.h"
+#include "MFEMHypreBoomerAMG.h"
+#include "MFEMHypreADS.h"
+#include "MFEMHypreAMS.h"
+#include "MFEMSuperLU.h"
+#include "MFEMGMRESSolver.h"
+
+class MFEMSolverTest : public MFEMObjectUnitTest
+{
+public:
+  MFEMSolverTest() : MFEMObjectUnitTest("MooseUnitApp") {}
+
+  static double uexact(const mfem::Vector & x)
+  {
+    double u;
+    u = x(2) * x(2) * x(2) - 5.0 * x(0) * x(0) * x(1) * x(2);
+    return u;
+  }
+
+  static void gradexact(const mfem::Vector & x, mfem::Vector & grad)
+  {
+    grad.SetSize(x.Size());
+    grad[0] = -10.0 * x(0) * x(1) * x(2);
+    grad[1] = -5.0 * x(0) * x(0) * x(2);
+    grad[2] = 3.0 * x(2) * x(2) - 5.0 * x(0) * x(0) * x(1);
+  }
+
+  static double d2uexact(const mfem::Vector & x) // returns \Delta u
+  {
+    double d2u;
+    d2u = -10.0 * x(1) * x(2) + 6.0 * x(2);
+    return d2u;
+  }
+
+  static double fexact(const mfem::Vector & x) // returns -\Delta u
+  {
+    double d2u = d2uexact(x);
+    return -d2u;
+  }
+
+  /**
+   * Test a solver can solve a dummy diffusion problem to the expected tolerance.
+   * Based on mfem/tests/unit/linalg/test_direct_solvers.cpp.
+   */
+  void testDiffusionSolve(mfem::Solver & solver, mfem::real_t tol)
+  {
+    int rank;
+    MPI_Comm_rank(MPI_COMM_WORLD, &rank);
+    const int ne = 4;
+    int dim = 3;
+    mfem::Mesh mesh;
+    mesh = mfem::Mesh::MakeCartesian3D(ne, ne, ne, mfem::Element::HEXAHEDRON, 1.0, 1.0, 1.0);
+    mfem::ParMesh pmesh(MPI_COMM_WORLD, mesh);
+    mesh.Clear();
+    int order = 3;
+    mfem::H1_FECollection fec(order, dim);
+    mfem::ParFiniteElementSpace fespace(&pmesh, &fec);
+    mfem::Array<int> ess_tdof_list, ess_bdr;
+    if (pmesh.bdr_attributes.Size())
+    {
+      ess_bdr.SetSize(pmesh.bdr_attributes.Max());
+      ess_bdr = 1;
+      fespace.GetEssentialTrueDofs(ess_bdr, ess_tdof_list);
+    }
+    mfem::FunctionCoefficient f(fexact);
+    mfem::ParLinearForm b(&fespace);
+    b.AddDomainIntegrator(new mfem::DomainLFIntegrator(f));
+    b.Assemble();
+
+    mfem::ParBilinearForm a(&fespace);
+    mfem::ConstantCoefficient one(1.0);
+    a.AddDomainIntegrator(new mfem::DiffusionIntegrator(one));
+    a.Assemble();
+
+    mfem::ParGridFunction x(&fespace);
+    mfem::FunctionCoefficient uex(uexact);
+    x = 0.0;
+    x.ProjectBdrCoefficient(uex, ess_bdr);
+
+    mfem::OperatorPtr A;
+    mfem::Vector B, X;
+    a.FormLinearSystem(ess_tdof_list, x, b, A, X, B);
+
+    solver.SetOperator(*A);
+    solver.Mult(B, X);
+
+    mfem::Vector Y(X.Size());
+    A->Mult(X, Y);
+    Y -= B;
+    ASSERT_LE(Y.Norml2(), tol);
+  }
+};
+
+/**
+ * Test MFEMHypreGMRES creates an mfem::HyperGMRES solver successfully.
+ */
+TEST_F(MFEMSolverTest, MFEMHypreGMRES)
+{
+  // Build required kernel inputs
+  InputParameters solver_params = _factory.getValidParams("MFEMHypreGMRES");
+  solver_params.set<double>("l_tol") = 0.0;
+  solver_params.set<double>("l_abs_tol") = 1e-5;
+
+  // Construct kernel
+  MFEMHypreGMRES & solver = addObject<MFEMHypreGMRES>("MFEMHypreGMRES", "solver1", solver_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto solver_downcast = std::dynamic_pointer_cast<mfem::HypreGMRES>(solver.getSolver());
+  ASSERT_NE(solver_downcast.get(), nullptr);
+  testDiffusionSolve(*solver_downcast.get(), 1e-5);
+}
+
+/**
+ * Test MFEMHypreFGMRES creates an mfem::HyperFGMRES solver successfully.
+ */
+TEST_F(MFEMSolverTest, MFEMHypreFGMRES)
+{
+  // Build required kernel inputs
+  InputParameters solver_params = _factory.getValidParams("MFEMHypreFGMRES");
+  solver_params.set<double>("l_tol") = 1e-7; // HypreFGMRES cannot set absolute tolerance
+  // Construct kernel
+  MFEMHypreFGMRES & solver =
+      addObject<MFEMHypreFGMRES>("MFEMHypreFGMRES", "solver1", solver_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto solver_downcast = std::dynamic_pointer_cast<mfem::HypreFGMRES>(solver.getSolver());
+  ASSERT_NE(solver_downcast.get(), nullptr);
+  testDiffusionSolve(*solver_downcast.get(), 1e-5);
+}
+
+/**
+ * Test MFEMHyprePCG creates an mfem::HyprePCG solver successfully.
+ */
+TEST_F(MFEMSolverTest, MFEMHyprePCG)
+{
+  // Build required kernel inputs
+  InputParameters solver_params = _factory.getValidParams("MFEMHyprePCG");
+  solver_params.set<double>("l_tol") = 0.0;
+  solver_params.set<double>("l_abs_tol") = 1e-5;
+
+  // Construct kernel
+  MFEMHyprePCG & solver = addObject<MFEMHyprePCG>("MFEMHyprePCG", "solver1", solver_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto solver_downcast = std::dynamic_pointer_cast<mfem::HyprePCG>(solver.getSolver());
+  ASSERT_NE(solver_downcast.get(), nullptr);
+  testDiffusionSolve(*solver_downcast.get(), 1e-5);
+}
+
+/**
+ * Test MFEMGMRES creates an mfem::GMRESSolver solver successfully.
+ */
+
+TEST_F(MFEMSolverTest, MFEMGMRESSolver)
+{
+  // Build required kernel inputs
+  InputParameters solver_params = _factory.getValidParams("MFEMGMRESSolver");
+  solver_params.set<double>("l_tol") = 0.0;
+  solver_params.set<double>("l_abs_tol") = 1e-5;
+
+  // Construct kernel
+  MFEMGMRESSolver & solver =
+      addObject<MFEMGMRESSolver>("MFEMGMRESSolver", "solver1", solver_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto solver_downcast = std::dynamic_pointer_cast<mfem::GMRESSolver>(solver.getSolver());
+  ASSERT_NE(solver_downcast.get(), nullptr);
+  testDiffusionSolve(*solver_downcast.get(), 1e-5);
+}
+
+/**
+ * Test MFEMHypreBoomerAMG creates an mfem::HypreBoomerAMG solver successfully.
+ */
+TEST_F(MFEMSolverTest, MFEMHypreBoomerAMG)
+{
+  // Build required solver inputs
+  InputParameters solver_params = _factory.getValidParams("MFEMHypreBoomerAMG");
+  solver_params.set<double>("l_tol") = 1e-7; // HypreBoomerAMG cannot set absolute tolerance
+
+  // Construct solver
+  MFEMHypreBoomerAMG & solver =
+      addObject<MFEMHypreBoomerAMG>("MFEMHypreBoomerAMG", "solver1", solver_params);
+
+  // Test MFEMSolver returns an solver of the expected type
+  auto solver_downcast = std::dynamic_pointer_cast<mfem::HypreBoomerAMG>(solver.getSolver());
+  // HypreBoomerAMG warnings are tripped by zero rows in matrices; turn this off for this test
+  solver_downcast->SetErrorMode(mfem::HypreSolver::ErrorMode::IGNORE_HYPRE_ERRORS);
+  ASSERT_NE(solver_downcast.get(), nullptr);
+  testDiffusionSolve(*solver_downcast.get(), 1e-5);
+}
+
+/**
+ * Test MFEMHypreADS creates an mfem::HypreADS solver successfully.
+ */
+TEST_F(MFEMSolverTest, MFEMHypreADS)
+{
+  // Build required FESpace
+  InputParameters fespace_params = _factory.getValidParams("MFEMFESpace");
+
+  fespace_params.set<MooseEnum>("fec_order") = "CONSTANT";
+  fespace_params.set<MooseEnum>("fec_type") = "RT";
+
+  // Construct fespace
+  addObject<MFEMFESpace>("MFEMFESpace", "HDivFESpace", fespace_params);
+
+  // Build required solver inputs
+  InputParameters solver_params = _factory.getValidParams("MFEMHypreADS");
+  solver_params.set<UserObjectName>("fespace") = "HDivFESpace";
+
+  // Construct solver
+  MFEMHypreADS & solver = addObject<MFEMHypreADS>("MFEMHypreADS", "solver1", solver_params);
+
+  // Test MFEMSolver returns a solver of the expected type
+  auto solver_downcast = std::dynamic_pointer_cast<mfem::HypreADS>(solver.getSolver());
+  ASSERT_NE(solver_downcast.get(), nullptr);
+}
+
+/**
+ * Test MFEMHypreAMS creates an mfem::HypreAMS solver successfully.
+ */
+TEST_F(MFEMSolverTest, MFEMHypreAMS)
+{
+  // Build required FESpace
+  InputParameters fespace_params = _factory.getValidParams("MFEMFESpace");
+
+  fespace_params.set<MooseEnum>("fec_order") = "FIRST";
+  fespace_params.set<MooseEnum>("fec_type") = "ND";
+
+  // Construct fespace
+  addObject<MFEMFESpace>("MFEMFESpace", "HCurlFESpace", fespace_params);
+
+  // Build required solver inputs
+  InputParameters solver_params = _factory.getValidParams("MFEMHypreAMS");
+  solver_params.set<UserObjectName>("fespace") = "HCurlFESpace";
+
+  // Construct solver
+  MFEMHypreAMS & solver = addObject<MFEMHypreAMS>("MFEMHypreAMS", "solver1", solver_params);
+
+  // Test MFEMSolver returns an solver of the expected type
+  auto solver_downcast = std::dynamic_pointer_cast<mfem::HypreAMS>(solver.getSolver());
+  ASSERT_NE(solver_downcast.get(), nullptr);
+}
+
+/**
+ * Test MFEMSuperLU creates an platypus::SuperLUSolver successfully.
+ */
+TEST_F(MFEMSolverTest, MFEMSuperLU)
+{
+  // Build required kernel inputs
+  InputParameters solver_params = _factory.getValidParams("MFEMSuperLU");
+
+  // Construct kernel
+  MFEMSuperLU & solver = addObject<MFEMSuperLU>("MFEMSuperLU", "solver1", solver_params);
+
+  // Test MFEMKernel returns an integrator of the expected type
+  auto solver_downcast = std::dynamic_pointer_cast<platypus::SuperLUSolver>(solver.getSolver());
+  ASSERT_NE(solver_downcast.get(), nullptr);
+  testDiffusionSolve(*solver_downcast.get(), 1e-12);
+}
+
+#endif
diff --git a/unit/src/TestNonLinearIntegrators.C b/unit/src/TestNonLinearIntegrators.C
new file mode 100644
index 000000000000..f0d3fda4e5e3
--- /dev/null
+++ b/unit/src/TestNonLinearIntegrators.C
@@ -0,0 +1,253 @@
+#ifdef MFEM_ENABLED
+
+#include "gtest/gtest.h"
+#include "libmesh/ignore_warnings.h"
+#include "mfem.hpp"
+#include "libmesh/restore_warnings.h"
+#include "Moose.h"
+
+class VectorPowerLawNLFIntegrator : public mfem::NonlinearFormIntegrator
+{
+protected:
+  mfem::Coefficient * _q;
+
+private:
+  mfem::DenseMatrix _curlshape, _curlshape_d_ft, _jac;
+  mfem::Vector _j, _vec, _pointflux;
+  double _e0 = 0.0001;
+  int _n = 20;
+  double _jc = 100000000;
+
+public:
+  VectorPowerLawNLFIntegrator(mfem::Coefficient & q) : _q(&q) {}
+
+  void AssembleElementGrad(const mfem::FiniteElement & el,
+                           mfem::ElementTransformation & Ttr,
+                           const mfem::Vector & elfun,
+                           mfem::DenseMatrix & elmat) override
+  {
+
+    int nd = el.GetDof();
+    int dim = el.GetDim();
+
+    mfem::Vector j(dim);
+    mfem::DenseMatrix curlshape(nd, dim),
+        curlshape_d_ft(nd, dim); // both trial and test function in Nedelec
+                                 // space, represented with curlshape
+    elmat.SetSize(nd * dim);
+    elmat = 0.0;
+    double w;
+
+    const mfem::IntegrationRule * ir = IntRule;
+    if (!ir)
+    {
+      ir = &(mfem::IntRules.Get(el.GetGeomType(), 2 * el.GetOrder() + 3)); // <---
+    }
+    for (int i = 0; i < ir->GetNPoints(); i++)
+    {
+      const mfem::IntegrationPoint & ip = ir->IntPoint(i);
+      Ttr.SetIntPoint(&ip);
+      w = ip.weight / Ttr.Weight();
+      w *= _q->Eval(Ttr, ip);          // multiply the PWconstantcoefficient
+      el.CalcCurlShape(ip, curlshape); // curl operation on the shape function
+      MultABt(curlshape, Ttr.Jacobian(), curlshape_d_ft);
+      // the curl operation of H(curl) space:  H(div)
+      // u(x) = (J/w) * uh(xh)
+      curlshape.MultTranspose(elfun, j); // compute the current density J
+
+      double j_norm = j.Norml2();
+      double j_de = _e0 / _jc * (_n - 1) * pow((j_norm / _jc), _n - 2);
+      // derivative factor (n-1)*E0/Jc*(CurlH.Norm/Jc)^(n-2)
+      // the transpose may be needed AtA rather than AAt
+      AddMult_a_AAt(w * j_de, curlshape_d_ft, elmat); // (Curl u, curl v)*J_de*w
+    }
+  };
+
+  void AssembleElementVector(const mfem::FiniteElement & el,
+                             mfem::ElementTransformation & Ttr,
+                             const mfem::Vector & elfun,
+                             mfem::Vector & elvect) override
+  {
+    int nd = el.GetDof(), dim = el.GetDim();
+
+    mfem::DenseMatrix curlshape(nd, dim);
+    // both trial and test function in Nedelec
+    // space, represented with curlshape
+    double w;
+    _j.SetSize(dim);
+    _jac.SetSize(dim);
+    _pointflux.SetSize(dim);
+    _vec.SetSize(dim);
+    elvect.SetSize(nd);
+    elvect = 0.0;
+    // cout << "elfun size " <<  elfun.Size() << endl;
+    // cout << "Densemtrix row col " << nd <<" Elfun size " << elfun.Size() <<
+    // endl;
+    const mfem::IntegrationRule * ir = IntRule;
+    if (!ir)
+    {
+      ir = &(mfem::IntRules.Get(el.GetGeomType(), 2 * el.GetOrder() + 3)); // <---
+    }
+    for (int i = 0; i < ir->GetNPoints(); i++)
+    {
+      const mfem::IntegrationPoint & ip = ir->IntPoint(i);
+      Ttr.SetIntPoint(&ip);
+      w = ip.weight / Ttr.Weight();
+      w *= _q->Eval(Ttr, ip);          // multiply the PWconstantcoefficient
+      el.CalcCurlShape(ip, curlshape); // curl operation on the shape function
+
+      curlshape.MultTranspose(elfun, _j); // compute the current density J
+      _jac = Ttr.Jacobian();              // mapping Jacobian to the reference element
+
+      curlshape.MultTranspose(elfun, _vec); //
+      _jac.MultTranspose(_vec, _pointflux);
+      // double J_norm=  pow(J[0],2) + pow(J[1],2) ;
+      double j_norm = _j.Norml2();
+
+      double j_f = _e0 / _jc * pow((j_norm / _jc), _n - 1);
+      //  factor E0/Jc*(CurlH.Norm/Jc)^(n-1)
+      // cout << "current level " <<  J_f << endl;
+      _pointflux *= w * j_f;
+      _jac.Mult(_pointflux, _vec);
+      curlshape.AddMult(_vec, elvect); // (Curl u, curl v)*J_f*w
+    }
+  };
+};
+
+/** NonlinearOperator operator of the form:
+    k --> (M + dt*S)*k + H(x + dt*v + dt^2*k) + S*v,
+    where M and S are given BilinearForms, H is a given NonlinearForm, v and x
+    are given vectors, and dt is a scalar. */
+class NonlinearOperator : public mfem::Operator
+{
+private:
+  mfem::ParBilinearForm * _blf;
+  mfem::ParNonlinearForm * _nlf;
+  mutable mfem::HypreParMatrix * _jacobian{nullptr};
+  double _dt{0.0};
+  const mfem::Vector * _x0{nullptr};
+  mutable mfem::Vector _x1;
+  const mfem::Array<int> & _ess_tdof_list;
+
+public:
+  NonlinearOperator(mfem::ParBilinearForm * blf_,
+                    mfem::ParNonlinearForm * nlf_,
+                    const mfem::Array<int> & ess_tdof_list_)
+    : Operator(blf_->ParFESpace()->TrueVSize()),
+      _blf(blf_),
+      _nlf(nlf_),
+
+      _x1(height),
+      _ess_tdof_list(ess_tdof_list_){};
+
+  /// Set current dt, v, x values - needed to compute action and Jacobian.
+  void SetParameters(double dt_, const mfem::Vector * x0_)
+  {
+    _dt = dt_;
+    _x0 = x0_;
+  };
+
+  // clang-format off
+  //* residual = (\rho(\nabla\times H), \nabla\times v) + (\mu dH/dt, v) + (dB^e/dt, v) - <(\rho\nabla\times H)\times n, v>  = 0
+  /// Compute y = H(x0 + dt* dx/dt) + M dx/dt
+  // clang-format on
+  void Mult(const mfem::Vector & dx_dt, mfem::Vector & residual) const override
+  {
+    add(*_x0, _dt, dx_dt, _x1);
+    _nlf->Mult(_x1, residual);
+    _blf->TrueAddMult(dx_dt, residual);
+  };
+
+  /// Compute J = dy/d(dx/dt)
+  /// Compute J = M + dt grad_H(x0 + dt* dx/dt)
+  mfem::Operator & GetGradient(const mfem::Vector & dx_dt) const override
+  {
+    add(*_x0, _dt, dx_dt, _x1);
+    delete _jacobian;
+    mfem::SparseMatrix & local_j = _blf->SpMat();
+    local_j.Add(_dt, _nlf->GetLocalGradient(_x1));
+    _jacobian = _blf->ParallelAssemble(&local_j);
+    mfem::HypreParMatrix * je = _jacobian->EliminateRowsCols(_ess_tdof_list);
+    delete je;
+    return *_jacobian;
+  };
+
+  ~NonlinearOperator() override { delete _jacobian; };
+};
+
+TEST(CheckData, NonlinearIntegratorTest)
+{
+  mfem::Mesh mesh("data/cylinder-hex-q2.gen", 1, 1);
+  auto pmesh = std::make_shared<mfem::ParMesh>(MPI_COMM_WORLD, mesh);
+
+  mesh.EnsureNodes();
+
+  auto fec_nd = std::make_unique<mfem::ND_FECollection>(1, pmesh->Dimension());
+  auto fec_rt = std::make_unique<mfem::RT_FECollection>(1, pmesh->Dimension());
+
+  mfem::ParFiniteElementSpace h_curl_fe_space(pmesh.get(), fec_nd.get());
+  mfem::ConstantCoefficient coeff(1.0);
+  mfem::ConstantCoefficient mu(1.0);
+
+  // clang-format off
+  //* in weak form
+  //* (\rho\nabla\times H, \nanbla\times v) + (\mu dH/dt, v) + (dB^e/dt, v) - <(\rho\nabla\times H)\times n, v>  = 0
+  // clang-format on
+  mfem::ParNonlinearForm nlf_test(&h_curl_fe_space);
+  mfem::ParBilinearForm blf_test(&h_curl_fe_space);
+  mfem::ParBilinearForm lf_test(&h_curl_fe_space);
+  nlf_test.AddDomainIntegrator(new VectorPowerLawNLFIntegrator(coeff));
+  blf_test.AddDomainIntegrator(new mfem::VectorFEMassIntegrator(mu));
+
+  //* Assemble and finalize
+  nlf_test.Setup();
+  blf_test.Assemble();
+  blf_test.Finalize();
+
+  mfem::ParGridFunction gf(&h_curl_fe_space);
+  mfem::ParLinearForm lf(&h_curl_fe_space);
+  lf = 1.0;
+  gf = 0.0;
+  mfem::Vector gf_tdofs(h_curl_fe_space.GetTrueVSize()), lf_tdofs(h_curl_fe_space.GetTrueVSize());
+  lf.ParallelAssemble(lf_tdofs);
+  gf.ParallelProject(gf_tdofs);
+
+  mfem::Array<int> ess_tdof_list;
+  NonlinearOperator nl_oper(&blf_test, &nlf_test, ess_tdof_list);
+  nl_oper.SetParameters(0.1, &gf_tdofs);
+
+  // Solver for the Jacobian solve in the Newton method
+  mfem::Solver * jacobian_solver;
+  // Set up the Jacobian solver
+  mfem::HyprePCG j_pcg(h_curl_fe_space.GetComm());
+  mfem::HypreAMS ams(&h_curl_fe_space);
+  ams.SetPrintLevel(1);
+  j_pcg.SetTol(1e-7);
+  j_pcg.SetMaxIter(300);
+  j_pcg.SetPrintLevel(1);
+  j_pcg.SetPreconditioner(ams);
+  jacobian_solver = &j_pcg;
+
+  // Newton solver for the hyperelastic operator
+  mfem::NewtonSolver newton_solver;
+  newton_solver.iterative_mode = true;
+  newton_solver.SetSolver(*jacobian_solver);
+  newton_solver.SetOperator(nl_oper);
+  newton_solver.SetPrintLevel(1); // print Newton iterations
+  newton_solver.SetRelTol(0.0);
+  newton_solver.SetAbsTol(1e-14);
+  // newton_solver.SetAdaptiveLinRtol(2, 0.5, 0.9);
+  newton_solver.SetMaxIter(10);
+
+  int my_rank;
+  MPI_Comm_rank(h_curl_fe_space.GetComm(), &my_rank);
+  Moose::out << "Starting on rank:" << my_rank << std::endl;
+
+  // nlf_test.Mult(lf_tdofs, gf_tdofs);
+  newton_solver.Mult(lf_tdofs, gf_tdofs);
+  MFEM_VERIFY(newton_solver.GetConverged(), "Newton Solver did not converge.");
+  Moose::out << "Finished on rank:" << my_rank << std::endl;
+  gf.Distribute(gf_tdofs);
+}
+
+#endif
diff --git a/unit/src/TestObjectManager.C b/unit/src/TestObjectManager.C
new file mode 100644
index 000000000000..c6110fdaa5a1
--- /dev/null
+++ b/unit/src/TestObjectManager.C
@@ -0,0 +1,107 @@
+#ifdef MFEM_ENABLED
+
+#include <algorithm>
+#include <memory>
+
+#include "gtest/gtest.h"
+#include "ObjectManager.h"
+
+#include "libmesh/ignore_warnings.h"
+#include "mfem.hpp"
+#include "libmesh/restore_warnings.h"
+
+class CheckObjectManager : public testing::Test
+{
+protected:
+  platypus::ObjectManager<mfem::Coefficient> manager;
+  std::shared_ptr<mfem::ConstantCoefficient> c1, c2, c3;
+
+  CheckObjectManager()
+  {
+    c1 = manager.make<mfem::ConstantCoefficient>(1.);
+    c2 = manager.make<mfem::ConstantCoefficient>(2.);
+    c3 = manager.make<mfem::ConstantCoefficient>(3.);
+  }
+};
+
+TEST_F(CheckObjectManager, Iter)
+{
+  int i = -1;
+  for (auto coef : manager)
+  {
+    auto coef_const = std::dynamic_pointer_cast<mfem::ConstantCoefficient>(coef);
+    ASSERT_NE(coef_const.get(), nullptr);
+    coef_const->constant = i--;
+  }
+  EXPECT_EQ(c1->constant, -1);
+  EXPECT_EQ(c2->constant, -2);
+  EXPECT_EQ(c3->constant, -3);
+}
+
+TEST_F(CheckObjectManager, IterMutable)
+{
+  for (auto & coef : manager)
+  {
+    EXPECT_EQ(coef.use_count(), 2);
+    coef.reset();
+  }
+  EXPECT_EQ(c1.use_count(), 1);
+  EXPECT_EQ(c2.use_count(), 1);
+  EXPECT_EQ(c3.use_count(), 1);
+}
+
+TEST_F(CheckObjectManager, ConstIter)
+{
+  int i = -1;
+  for (auto it = manager.cbegin(); it != manager.cend(); ++it)
+  {
+    auto coef_const = std::dynamic_pointer_cast<mfem::ConstantCoefficient>(*it);
+    ASSERT_NE(coef_const.get(), nullptr);
+    coef_const->constant = i--;
+  }
+  EXPECT_EQ(c1->constant, -1);
+  EXPECT_EQ(c2->constant, -2);
+  EXPECT_EQ(c3->constant, -3);
+}
+
+TEST_F(CheckObjectManager, ReverseIter)
+{
+  int i = -1;
+  for (auto it = manager.rbegin(); it != manager.rend(); ++it)
+  {
+    auto coef_const = std::dynamic_pointer_cast<mfem::ConstantCoefficient>(*it);
+    ASSERT_NE(coef_const.get(), nullptr);
+    coef_const->constant = i--;
+  }
+  EXPECT_EQ(c1->constant, -3);
+  EXPECT_EQ(c2->constant, -2);
+  EXPECT_EQ(c3->constant, -1);
+}
+
+TEST_F(CheckObjectManager, ReverseIterMutable)
+{
+  for (auto it = manager.rbegin(); it != manager.rend(); ++it)
+  {
+    EXPECT_EQ(it->use_count(), 2);
+    it->reset();
+  }
+  EXPECT_EQ(c1.use_count(), 1);
+  EXPECT_EQ(c2.use_count(), 1);
+  EXPECT_EQ(c3.use_count(), 1);
+}
+
+TEST_F(CheckObjectManager, ConstReverseIter)
+{
+  int i = -1;
+  for (auto it = manager.crbegin(); it != manager.crend(); ++it)
+  {
+    auto coef_const = std::dynamic_pointer_cast<mfem::ConstantCoefficient>(*it);
+    ASSERT_NE(coef_const.get(), nullptr);
+    coef_const->constant = i--;
+  }
+  EXPECT_EQ(c1->constant, -3);
+  EXPECT_EQ(c2->constant, -2);
+  EXPECT_EQ(c3->constant, -1);
+}
+
+#endif
diff --git a/unit/src/TestPropertyManager.C b/unit/src/TestPropertyManager.C
new file mode 100644
index 000000000000..754e4cb0a5e7
--- /dev/null
+++ b/unit/src/TestPropertyManager.C
@@ -0,0 +1,994 @@
+#ifdef MFEM_ENABLED
+
+#include <algorithm>
+
+#include "gtest/gtest.h"
+#include "PropertyManager.h"
+
+#include "libmesh/ignore_warnings.h"
+#include "mfem.hpp"
+#include "libmesh/restore_warnings.h"
+
+class CheckPropertyManager : public testing::Test
+{
+protected:
+  mfem::IsoparametricTransformation fe_transform;
+  mfem::IntegrationPoint point1, point2;
+  platypus::ScalarCoefficientManager _scalar_manager;
+  platypus::VectorCoefficientManager _vector_manager;
+  platypus::MatrixCoefficientManager _matrix_manager;
+  platypus::PropertyManager manager;
+  CheckPropertyManager() : manager(_scalar_manager, _vector_manager, _matrix_manager)
+  {
+    point1.Init(2);
+    point1.Set2(0., 0.);
+    point2.Init(2);
+    point2.Set2(0.5, 1.);
+    fe_transform.SetIdentityTransformation(mfem::Geometry::SQUARE);
+  }
+};
+
+mfem::real_t
+scalar_func(const mfem::Vector & x)
+{
+  return x[0] + x[1];
+}
+
+void
+vector_func(const mfem::Vector & x, mfem::Vector & vec)
+{
+  vec[0] = 2 * x[0];
+  vec[1] = x[1] + 1;
+}
+
+void
+matrix_func(const mfem::Vector & x, mfem::DenseMatrix & mat)
+{
+  mat(0, 0) = 2 * x[0];
+  mat(0, 1) = x[1] + 1;
+  mat(1, 0) = 0.;
+  mat(1, 1) = x[0] + x[1];
+}
+
+mfem::real_t
+scalar_func_t(const mfem::Vector & x, mfem::real_t t)
+{
+  return x[0] + x[1] + t;
+}
+
+void
+vector_func_t(const mfem::Vector & x, mfem::real_t t, mfem::Vector & vec)
+{
+  vec[0] = 2 * x[0] + t;
+  vec[1] = x[1] + 1;
+}
+
+void
+matrix_func_t(const mfem::Vector & x, mfem::real_t t, mfem::DenseMatrix & mat)
+{
+  mat(0, 0) = 2 * x[0] + t;
+  mat(0, 1) = x[1] + 1;
+  mat(1, 0) = t;
+  mat(1, 1) = x[0] + x[1];
+}
+
+TEST_F(CheckPropertyManager, DeclareUniformScalar)
+{
+  manager.declareScalar<mfem::ConstantCoefficient>("resistivity", manager.global, 2.);
+  mfem::ConstantCoefficient * c =
+      dynamic_cast<mfem::ConstantCoefficient *>(&manager.getScalarProperty("resistivity"));
+  ASSERT_NE(c, nullptr);
+  EXPECT_EQ(c->Eval(fe_transform, point1), 2.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 2.0);
+}
+
+TEST_F(CheckPropertyManager, DeclarePWScalar)
+{
+  manager.declareScalar<mfem::ConstantCoefficient>("test", {"1", "2"}, 2.);
+  manager.declareScalar<mfem::ConstantCoefficient>("test", {"3"}, 1.);
+  mfem::PWCoefficient * c = dynamic_cast<mfem::PWCoefficient *>(&manager.getScalarProperty("test"));
+  ASSERT_NE(c, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 2.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 2.0);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 2.0);
+  fe_transform.Attribute = 3;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 1.0);
+  fe_transform.Attribute = 10;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+}
+
+TEST_F(CheckPropertyManager, DeclareFunctionScalar)
+{
+  manager.declareScalar<mfem::FunctionCoefficient>("resistivity", manager.global, scalar_func);
+  auto c = &manager.getScalarProperty("resistivity");
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 1.5);
+}
+
+TEST_F(CheckPropertyManager, DeclareFunctionTScalar)
+{
+  manager.declareScalar<mfem::FunctionCoefficient>("resistivity", manager.global, scalar_func_t);
+  auto c = &manager.getScalarProperty("resistivity");
+  c->SetTime(0.);
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 1.5);
+  c->SetTime(1.);
+  EXPECT_EQ(c->Eval(fe_transform, point1), 1.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 2.5);
+}
+
+TEST_F(CheckPropertyManager, DeclareFunctionPWScalar)
+{
+  manager.declareScalar<mfem::FunctionCoefficient>("test", {"1", "2"}, scalar_func);
+  manager.declareScalar<mfem::FunctionCoefficient>(
+      "test", {"3"}, [](const mfem::Vector & x) -> mfem::real_t { return scalar_func(x) + 1.; });
+  mfem::PWCoefficient * c = dynamic_cast<mfem::PWCoefficient *>(&manager.getScalarProperty("test"));
+  ASSERT_NE(c, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 1.5);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 1.5);
+  fe_transform.Attribute = 3;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 1.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 2.5);
+  fe_transform.Attribute = 10;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 0.0);
+}
+
+TEST_F(CheckPropertyManager, DeclareFunctionTPWScalar)
+{
+  manager.declareScalar<mfem::FunctionCoefficient>("test", {"1", "2"}, scalar_func_t);
+  manager.declareScalar<mfem::FunctionCoefficient>(
+      "test", {"3"}, [](const mfem::Vector & x) -> mfem::real_t { return scalar_func(x) + 1.; });
+  mfem::PWCoefficient * c = dynamic_cast<mfem::PWCoefficient *>(&manager.getScalarProperty("test"));
+  ASSERT_NE(c, nullptr);
+  c->SetTime(0.);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 1.5);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 1.5);
+  fe_transform.Attribute = 3;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 1.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 2.5);
+  fe_transform.Attribute = 10;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 0.0);
+  c->SetTime(2.);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 2.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 3.5);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 2.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 3.5);
+  fe_transform.Attribute = 3;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 1.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 2.5);
+  fe_transform.Attribute = 10;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 0.0);
+}
+
+TEST_F(CheckPropertyManager, DeclareCoefficientScalar)
+{
+  manager.declareScalar("resistivity", _scalar_manager.make<mfem::ConstantCoefficient>(2.));
+  manager.declareScalar(
+      "permittivity", manager.global, _scalar_manager.make<mfem::ConstantCoefficient>(3.));
+  mfem::ConstantCoefficient * c =
+      dynamic_cast<mfem::ConstantCoefficient *>(&manager.getScalarProperty("resistivity"));
+  ASSERT_NE(c, nullptr);
+  EXPECT_EQ(c->Eval(fe_transform, point1), 2.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 2.0);
+  c = dynamic_cast<mfem::ConstantCoefficient *>(&manager.getScalarProperty("permittivity"));
+  ASSERT_NE(c, nullptr);
+  EXPECT_EQ(c->Eval(fe_transform, point1), 3.0);
+}
+
+TEST_F(CheckPropertyManager, DeclareCoefficientPWScalar)
+{
+  manager.declareScalar("test", {"1", "2"}, _scalar_manager.make<mfem::ConstantCoefficient>(2.));
+  manager.declareScalar("test", {"3"}, _scalar_manager.make<mfem::ConstantCoefficient>(1.));
+  mfem::PWCoefficient * c = dynamic_cast<mfem::PWCoefficient *>(&manager.getScalarProperty("test"));
+  ASSERT_NE(c, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 2.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 2.0);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 2.0);
+  fe_transform.Attribute = 3;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 1.0);
+  fe_transform.Attribute = 10;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+}
+
+TEST_F(CheckPropertyManager, ScalarIsDefined)
+{
+  manager.declareScalar<mfem::ConstantCoefficient>("a", manager.global, 2.);
+  manager.declareScalar<mfem::FunctionCoefficient>("b", manager.global, scalar_func);
+  manager.declareScalar("c", _scalar_manager.make<mfem::ConstantCoefficient>(2.));
+  EXPECT_TRUE(manager.scalarIsDefined("a", "1"));
+  EXPECT_TRUE(manager.scalarIsDefined("a", "10"));
+  EXPECT_FALSE(manager.scalarIsDefined("A", "1"));
+  EXPECT_TRUE(manager.scalarIsDefined("b", "1"));
+  EXPECT_TRUE(manager.scalarIsDefined("b", "-57"));
+  EXPECT_FALSE(manager.scalarIsDefined("B", "1"));
+  EXPECT_TRUE(manager.scalarIsDefined("c", "0"));
+  EXPECT_TRUE(manager.scalarIsDefined("c", "20"));
+  EXPECT_FALSE(manager.scalarIsDefined("C", "0"));
+  EXPECT_FALSE(manager.scalarIsDefined("d", "0"));
+  EXPECT_FALSE(manager.scalarIsDefined("d", "1"));
+  EXPECT_FALSE(manager.scalarIsDefined("d", "2"));
+
+  EXPECT_FALSE(manager.vectorIsDefined("a", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("a", "1"));
+  EXPECT_FALSE(manager.vectorIsDefined("b", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("b", "1"));
+  EXPECT_FALSE(manager.vectorIsDefined("c", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("c", "1"));
+}
+
+TEST_F(CheckPropertyManager, ScalarPWIsDefined)
+{
+  manager.declareScalar<mfem::ConstantCoefficient>("a", {"1", "2"}, 2.);
+  manager.declareScalar<mfem::FunctionCoefficient>("b", {"-1", "0"}, scalar_func);
+  manager.declareScalar("c", {"42", "45"}, _scalar_manager.make<mfem::ConstantCoefficient>(2.));
+  EXPECT_TRUE(manager.scalarIsDefined("a", "1"));
+  EXPECT_TRUE(manager.scalarIsDefined("a", "2"));
+  EXPECT_FALSE(manager.scalarIsDefined("a", "0"));
+  EXPECT_FALSE(manager.scalarIsDefined("A", "1"));
+  EXPECT_TRUE(manager.scalarIsDefined("b", "-1"));
+  EXPECT_TRUE(manager.scalarIsDefined("b", "0"));
+  EXPECT_FALSE(manager.scalarIsDefined("b", "1"));
+  EXPECT_FALSE(manager.scalarIsDefined("B", "0"));
+  EXPECT_TRUE(manager.scalarIsDefined("c", "42"));
+  EXPECT_TRUE(manager.scalarIsDefined("c", "45"));
+  EXPECT_FALSE(manager.scalarIsDefined("c", "1"));
+  EXPECT_FALSE(manager.scalarIsDefined("C", "42"));
+  EXPECT_FALSE(manager.scalarIsDefined("d", "-1"));
+  EXPECT_FALSE(manager.scalarIsDefined("d", "0"));
+  EXPECT_FALSE(manager.scalarIsDefined("d", "1"));
+  EXPECT_FALSE(manager.scalarIsDefined("d", "2"));
+
+  EXPECT_FALSE(manager.vectorIsDefined("a", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("a", "1"));
+  EXPECT_FALSE(manager.vectorIsDefined("b", "-1"));
+  EXPECT_FALSE(manager.matrixIsDefined("b", "-1"));
+  EXPECT_FALSE(manager.vectorIsDefined("c", "42"));
+  EXPECT_FALSE(manager.matrixIsDefined("c", "42"));
+}
+
+TEST_F(CheckPropertyManager, DeclareUniformVector)
+{
+  manager.declareVector<mfem::VectorConstantCoefficient>(
+      "resistivity", manager.global, mfem::Vector({1., 2.}));
+  mfem::VectorConstantCoefficient * c =
+      dynamic_cast<mfem::VectorConstantCoefficient *>(&manager.getVectorProperty("resistivity"));
+  ASSERT_NE(c, nullptr);
+  mfem::Vector vec;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 1.0);
+  EXPECT_EQ(vec[1], 2.0);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 1.0);
+  EXPECT_EQ(vec[1], 2.0);
+}
+
+TEST_F(CheckPropertyManager, DeclarePWVector)
+{
+  manager.declareVector<mfem::VectorConstantCoefficient>(
+      "test", {"1", "2"}, mfem::Vector({1., 2.}));
+  manager.declareVector<mfem::VectorConstantCoefficient>("test", {"3"}, mfem::Vector({3., 4.}));
+  mfem::PWVectorCoefficient * c =
+      dynamic_cast<mfem::PWVectorCoefficient *>(&manager.getVectorProperty("test"));
+  ASSERT_NE(c, nullptr);
+  mfem::Vector vec;
+  fe_transform.Attribute = 1;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 1.0);
+  EXPECT_EQ(vec[1], 2.0);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 1.0);
+  EXPECT_EQ(vec[1], 2.0);
+  fe_transform.Attribute = 2;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 1.0);
+  EXPECT_EQ(vec[1], 2.0);
+  fe_transform.Attribute = 3;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 3.0);
+  EXPECT_EQ(vec[1], 4.0);
+  fe_transform.Attribute = 10;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.);
+  EXPECT_EQ(vec[1], 0.);
+}
+
+TEST_F(CheckPropertyManager, DeclareFunctionVector)
+{
+  manager.declareVector<mfem::VectorFunctionCoefficient>(
+      "resistivity", manager.global, 2, vector_func);
+  auto c = &manager.getVectorProperty("resistivity");
+  mfem::Vector vec;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.);
+  EXPECT_EQ(vec[1], 1.);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 1.);
+  EXPECT_EQ(vec[1], 2.);
+}
+
+TEST_F(CheckPropertyManager, DeclareFunctionTVector)
+{
+  manager.declareVector<mfem::VectorFunctionCoefficient>(
+      "resistivity", manager.global, 2, vector_func_t);
+  auto c = &manager.getVectorProperty("resistivity");
+  mfem::Vector vec;
+  c->SetTime(0.);
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.);
+  EXPECT_EQ(vec[1], 1.);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 1.);
+  EXPECT_EQ(vec[1], 2.);
+  c->SetTime(1.);
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 1.);
+  EXPECT_EQ(vec[1], 1.);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 2.);
+  EXPECT_EQ(vec[1], 2.);
+}
+
+TEST_F(CheckPropertyManager, DeclareFunctionPWVector)
+{
+  manager.declareVector<mfem::VectorFunctionCoefficient>("test", {"1", "2"}, 2, vector_func);
+  manager.declareVector<mfem::VectorFunctionCoefficient>(
+      "test",
+      {"3"},
+      2,
+      [](const mfem::Vector & x, mfem::Vector & vec)
+      {
+        vector_func(x, vec);
+        vec *= scalar_func(x);
+      });
+  mfem::PWVectorCoefficient * c =
+      dynamic_cast<mfem::PWVectorCoefficient *>(&manager.getVectorProperty("test"));
+  ASSERT_NE(c, nullptr);
+  mfem::Vector vec;
+  fe_transform.Attribute = 1;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.0);
+  EXPECT_EQ(vec[1], 1.0);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 1.);
+  EXPECT_EQ(vec[1], 2.0);
+  fe_transform.Attribute = 2;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.0);
+  EXPECT_EQ(vec[1], 1.0);
+  fe_transform.Attribute = 3;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.0);
+  EXPECT_EQ(vec[1], 0.0);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 1.5);
+  EXPECT_EQ(vec[1], 3.0);
+  fe_transform.Attribute = 10;
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 0.);
+  EXPECT_EQ(vec[1], 0.);
+}
+TEST_F(CheckPropertyManager, DeclareFunctionTPWVector)
+{
+  manager.declareVector<mfem::VectorFunctionCoefficient>("test", {"1", "2"}, 2, vector_func_t);
+  manager.declareVector<mfem::VectorFunctionCoefficient>(
+      "test",
+      {"3"},
+      2,
+      [](const mfem::Vector & x, mfem::Vector & vec)
+      {
+        vector_func(x, vec);
+        vec *= scalar_func(x);
+      });
+  mfem::PWVectorCoefficient * c =
+      dynamic_cast<mfem::PWVectorCoefficient *>(&manager.getVectorProperty("test"));
+  ASSERT_NE(c, nullptr);
+  mfem::Vector vec;
+  c->SetTime(0.);
+  fe_transform.Attribute = 1;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.0);
+  EXPECT_EQ(vec[1], 1.0);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 1.);
+  EXPECT_EQ(vec[1], 2.0);
+  fe_transform.Attribute = 2;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.0);
+  EXPECT_EQ(vec[1], 1.0);
+  fe_transform.Attribute = 3;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.0);
+  EXPECT_EQ(vec[1], 0.0);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 1.5);
+  EXPECT_EQ(vec[1], 3.0);
+  fe_transform.Attribute = 10;
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 0.);
+  EXPECT_EQ(vec[1], 0.);
+  c->SetTime(1.);
+  fe_transform.Attribute = 1;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 1.0);
+  EXPECT_EQ(vec[1], 1.0);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 2.);
+  EXPECT_EQ(vec[1], 2.0);
+  fe_transform.Attribute = 2;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 1.0);
+  EXPECT_EQ(vec[1], 1.0);
+  fe_transform.Attribute = 3;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.0);
+  EXPECT_EQ(vec[1], 0.0);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 1.5);
+  EXPECT_EQ(vec[1], 3.0);
+  fe_transform.Attribute = 10;
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 0.);
+  EXPECT_EQ(vec[1], 0.);
+}
+
+TEST_F(CheckPropertyManager, DeclareCoefficientVector)
+{
+  manager.declareVector(
+      "resistivity",
+      manager.global,
+      _vector_manager.make<mfem::VectorConstantCoefficient>(mfem::Vector({1., 2.})));
+  manager.declareVector(
+      "permittivity",
+      _vector_manager.make<mfem::VectorConstantCoefficient>(mfem::Vector({3., 4.})));
+  mfem::VectorConstantCoefficient * c =
+      dynamic_cast<mfem::VectorConstantCoefficient *>(&manager.getVectorProperty("resistivity"));
+  ASSERT_NE(c, nullptr);
+  mfem::Vector vec;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 1.0);
+  EXPECT_EQ(vec[1], 2.0);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 1.);
+  EXPECT_EQ(vec[1], 2.0);
+  c = dynamic_cast<mfem::VectorConstantCoefficient *>(&manager.getVectorProperty("permittivity"));
+  ASSERT_NE(c, nullptr);
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 3.0);
+  EXPECT_EQ(vec[1], 4.0);
+}
+
+TEST_F(CheckPropertyManager, DeclareCoefficientPWVector)
+{
+  manager.declareVector(
+      "test",
+      {"1", "2"},
+      _vector_manager.make<mfem::VectorConstantCoefficient>(mfem::Vector({2., 1.})));
+  manager.declareVector(
+      "test",
+      {"3"},
+      _vector_manager.make<mfem::VectorConstantCoefficient>(mfem::Vector({-1., -7.})));
+  mfem::PWVectorCoefficient * c =
+      dynamic_cast<mfem::PWVectorCoefficient *>(&manager.getVectorProperty("test"));
+  ASSERT_NE(c, nullptr);
+  mfem::Vector vec;
+  fe_transform.Attribute = 1;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 2.0);
+  EXPECT_EQ(vec[1], 1.0);
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 2.0);
+  EXPECT_EQ(vec[1], 1.0);
+  fe_transform.Attribute = 2;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 2.0);
+  EXPECT_EQ(vec[1], 1.0);
+  fe_transform.Attribute = 3;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], -1.0);
+  EXPECT_EQ(vec[1], -7.0);
+  fe_transform.Attribute = 10;
+  c->Eval(vec, fe_transform, point2);
+  EXPECT_EQ(vec[0], 0.0);
+  EXPECT_EQ(vec[1], 0.0);
+}
+
+TEST_F(CheckPropertyManager, VectorIsDefined)
+{
+  manager.declareVector<mfem::VectorConstantCoefficient>(
+      "a", manager.global, mfem::Vector({2., 1.}));
+  manager.declareVector<mfem::VectorFunctionCoefficient>("b", manager.global, 2, vector_func);
+  manager.declareVector(
+      "c", _vector_manager.make<mfem::VectorConstantCoefficient>(mfem::Vector({3., 4.})));
+  EXPECT_TRUE(manager.vectorIsDefined("a", "1"));
+  EXPECT_TRUE(manager.vectorIsDefined("a", "10"));
+  EXPECT_FALSE(manager.vectorIsDefined("A", "1"));
+  EXPECT_TRUE(manager.vectorIsDefined("b", "1"));
+  EXPECT_TRUE(manager.vectorIsDefined("b", "-57"));
+  EXPECT_FALSE(manager.vectorIsDefined("B", "1"));
+  EXPECT_TRUE(manager.vectorIsDefined("c", "0"));
+  EXPECT_TRUE(manager.vectorIsDefined("c", "20"));
+  EXPECT_FALSE(manager.vectorIsDefined("C", "0"));
+  EXPECT_FALSE(manager.vectorIsDefined("d", "0"));
+  EXPECT_FALSE(manager.vectorIsDefined("d", "1"));
+  EXPECT_FALSE(manager.vectorIsDefined("d", "2"));
+
+  EXPECT_FALSE(manager.scalarIsDefined("a", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("a", "1"));
+  EXPECT_FALSE(manager.scalarIsDefined("b", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("b", "1"));
+  EXPECT_FALSE(manager.scalarIsDefined("c", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("c", "1"));
+}
+
+TEST_F(CheckPropertyManager, VectorPWIsDefined)
+{
+  manager.declareVector<mfem::VectorConstantCoefficient>("a", {"1", "2"}, mfem::Vector({2., 1.}));
+  manager.declareVector<mfem::VectorFunctionCoefficient>("b", {"-1", "0"}, 2, vector_func);
+  manager.declareVector(
+      "c",
+      {"42", "45"},
+      _vector_manager.make<mfem::VectorConstantCoefficient>(mfem::Vector({3., 4.})));
+  EXPECT_TRUE(manager.vectorIsDefined("a", "1"));
+  EXPECT_TRUE(manager.vectorIsDefined("a", "2"));
+  EXPECT_FALSE(manager.vectorIsDefined("a", "0"));
+  EXPECT_FALSE(manager.vectorIsDefined("A", "1"));
+  EXPECT_TRUE(manager.vectorIsDefined("b", "-1"));
+  EXPECT_TRUE(manager.vectorIsDefined("b", "0"));
+  EXPECT_FALSE(manager.vectorIsDefined("b", "1"));
+  EXPECT_FALSE(manager.vectorIsDefined("B", "0"));
+  EXPECT_TRUE(manager.vectorIsDefined("c", "42"));
+  EXPECT_TRUE(manager.vectorIsDefined("c", "45"));
+  EXPECT_FALSE(manager.vectorIsDefined("c", "1"));
+  EXPECT_FALSE(manager.vectorIsDefined("C", "42"));
+  EXPECT_FALSE(manager.vectorIsDefined("d", "-1"));
+  EXPECT_FALSE(manager.vectorIsDefined("d", "0"));
+  EXPECT_FALSE(manager.vectorIsDefined("d", "1"));
+  EXPECT_FALSE(manager.vectorIsDefined("d", "2"));
+
+  EXPECT_FALSE(manager.scalarIsDefined("a", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("a", "1"));
+  EXPECT_FALSE(manager.scalarIsDefined("b", "-1"));
+  EXPECT_FALSE(manager.matrixIsDefined("b", "-1"));
+  EXPECT_FALSE(manager.scalarIsDefined("c", "42"));
+  EXPECT_FALSE(manager.matrixIsDefined("c", "42"));
+}
+
+TEST_F(CheckPropertyManager, DeclareUniformMatrix)
+{
+  manager.declareMatrix<mfem::MatrixConstantCoefficient>(
+      "resistivity", manager.global, mfem::DenseMatrix({{1., 2.}, {3., 4.}}));
+  mfem::MatrixConstantCoefficient * c =
+      dynamic_cast<mfem::MatrixConstantCoefficient *>(&manager.getMatrixProperty("resistivity"));
+  ASSERT_NE(c, nullptr);
+  mfem::DenseMatrix mat;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 3.0);
+  EXPECT_EQ(mat.Elem(1, 1), 4.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 3.0);
+  EXPECT_EQ(mat.Elem(1, 1), 4.0);
+}
+
+TEST_F(CheckPropertyManager, DeclarePWMatrix)
+{
+  manager.declareMatrix<mfem::MatrixConstantCoefficient>(
+      "test", {"1", "2"}, mfem::DenseMatrix({{1., 2.}, {3., 4.}}));
+  manager.declareMatrix<mfem::MatrixConstantCoefficient>(
+      "test", {"3"}, mfem::DenseMatrix({{-1., 4.}, {-10., -2.}}));
+  mfem::PWMatrixCoefficient * c =
+      dynamic_cast<mfem::PWMatrixCoefficient *>(&manager.getMatrixProperty("test"));
+  ASSERT_NE(c, nullptr);
+  mfem::DenseMatrix mat;
+  fe_transform.Attribute = 1;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 3.0);
+  EXPECT_EQ(mat.Elem(1, 1), 4.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 3.0);
+  EXPECT_EQ(mat.Elem(1, 1), 4.0);
+  fe_transform.Attribute = 2;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 3.0);
+  EXPECT_EQ(mat.Elem(1, 1), 4.0);
+  fe_transform.Attribute = 3;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), -1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 4.0);
+  EXPECT_EQ(mat.Elem(1, 0), -10.0);
+  EXPECT_EQ(mat.Elem(1, 1), -2.0);
+  fe_transform.Attribute = 10;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 0.0);
+  EXPECT_EQ(mat.Elem(0, 1), 0.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+}
+
+TEST_F(CheckPropertyManager, DeclareFunctionMatrix)
+{
+  manager.declareMatrix<mfem::MatrixFunctionCoefficient>(
+      "resistivity", manager.global, 2, matrix_func);
+  auto c = &manager.getMatrixProperty("resistivity");
+  mfem::DenseMatrix mat;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 0.);
+  EXPECT_EQ(mat.Elem(0, 1), 1.);
+  EXPECT_EQ(mat.Elem(1, 0), 0.);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 1.5);
+}
+
+TEST_F(CheckPropertyManager, DeclareFunctionTMatrix)
+{
+  manager.declareMatrix<mfem::MatrixFunctionCoefficient>(
+      "resistivity", manager.global, 2, matrix_func_t);
+  auto c = &manager.getMatrixProperty("resistivity");
+  mfem::DenseMatrix mat;
+  c->SetTime(0.0);
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 0.);
+  EXPECT_EQ(mat.Elem(0, 1), 1.);
+  EXPECT_EQ(mat.Elem(1, 0), 0.);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 1.5);
+  c->SetTime(5.0);
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 5.);
+  EXPECT_EQ(mat.Elem(0, 1), 1.);
+  EXPECT_EQ(mat.Elem(1, 0), 5.);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 6.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 5.0);
+  EXPECT_EQ(mat.Elem(1, 1), 1.5);
+}
+
+TEST_F(CheckPropertyManager, DeclareFunctionPWMatrix)
+{
+  manager.declareMatrix<mfem::MatrixFunctionCoefficient>("test", {"1", "2"}, 2, matrix_func);
+  manager.declareMatrix<mfem::MatrixFunctionCoefficient>(
+      "test",
+      {"3"},
+      2,
+      [](const mfem::Vector & x, mfem::DenseMatrix & mat)
+      {
+        matrix_func(x, mat);
+        mat *= scalar_func(x);
+      });
+  mfem::PWMatrixCoefficient * c =
+      dynamic_cast<mfem::PWMatrixCoefficient *>(&manager.getMatrixProperty("test"));
+  ASSERT_NE(c, nullptr);
+  mfem::DenseMatrix mat;
+  fe_transform.Attribute = 1;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 0.);
+  EXPECT_EQ(mat.Elem(0, 1), 1.);
+  EXPECT_EQ(mat.Elem(1, 0), 0.);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 1.5);
+  fe_transform.Attribute = 2;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 0.);
+  EXPECT_EQ(mat.Elem(0, 1), 1.);
+  EXPECT_EQ(mat.Elem(1, 0), 0.);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  fe_transform.Attribute = 3;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 0.0);
+  EXPECT_EQ(mat.Elem(0, 1), 0.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 1.5);
+  EXPECT_EQ(mat.Elem(0, 1), 3.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 2.25);
+  fe_transform.Attribute = 10;
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 0.0);
+  EXPECT_EQ(mat.Elem(0, 1), 0.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+}
+
+TEST_F(CheckPropertyManager, DeclareFunctionTPWMatrix)
+{
+  manager.declareMatrix<mfem::MatrixFunctionCoefficient>("test", {"1", "2"}, 2, matrix_func_t);
+  manager.declareMatrix<mfem::MatrixFunctionCoefficient>(
+      "test",
+      {"3"},
+      2,
+      [](const mfem::Vector & x, mfem::DenseMatrix & mat)
+      {
+        matrix_func(x, mat);
+        mat *= scalar_func(x);
+      });
+  mfem::PWMatrixCoefficient * c =
+      dynamic_cast<mfem::PWMatrixCoefficient *>(&manager.getMatrixProperty("test"));
+  ASSERT_NE(c, nullptr);
+  mfem::DenseMatrix mat;
+  c->SetTime(0.);
+  fe_transform.Attribute = 1;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 0.);
+  EXPECT_EQ(mat.Elem(0, 1), 1.);
+  EXPECT_EQ(mat.Elem(1, 0), 0.);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 1.5);
+  fe_transform.Attribute = 2;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 0.);
+  EXPECT_EQ(mat.Elem(0, 1), 1.);
+  EXPECT_EQ(mat.Elem(1, 0), 0.);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  fe_transform.Attribute = 3;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 0.0);
+  EXPECT_EQ(mat.Elem(0, 1), 0.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 1.5);
+  EXPECT_EQ(mat.Elem(0, 1), 3.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 2.25);
+  fe_transform.Attribute = 10;
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 0.0);
+  EXPECT_EQ(mat.Elem(0, 1), 0.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  c->SetTime(-1.);
+  fe_transform.Attribute = 1;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), -1.);
+  EXPECT_EQ(mat.Elem(0, 1), 1.);
+  EXPECT_EQ(mat.Elem(1, 0), -1.);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 0.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), -1.0);
+  EXPECT_EQ(mat.Elem(1, 1), 1.5);
+  fe_transform.Attribute = 2;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), -1.);
+  EXPECT_EQ(mat.Elem(0, 1), 1.);
+  EXPECT_EQ(mat.Elem(1, 0), -1.);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  fe_transform.Attribute = 3;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 0.0);
+  EXPECT_EQ(mat.Elem(0, 1), 0.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 1.5);
+  EXPECT_EQ(mat.Elem(0, 1), 3.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 2.25);
+  fe_transform.Attribute = 10;
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 0.0);
+  EXPECT_EQ(mat.Elem(0, 1), 0.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+}
+
+TEST_F(CheckPropertyManager, DeclareCoefficientMatrix)
+{
+  manager.declareMatrix("resistivity",
+                        _matrix_manager.make<mfem::MatrixConstantCoefficient>(
+                            mfem::DenseMatrix({{1., 2.}, {3., 4.}})));
+  manager.declareMatrix("permittivity",
+                        manager.global,
+                        _matrix_manager.make<mfem::MatrixConstantCoefficient>(
+                            mfem::DenseMatrix({{5., 6.}, {7., 8.}})));
+  mfem::MatrixConstantCoefficient * c =
+      dynamic_cast<mfem::MatrixConstantCoefficient *>(&manager.getMatrixProperty("resistivity"));
+  ASSERT_NE(c, nullptr);
+  mfem::DenseMatrix mat;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 3.0);
+  EXPECT_EQ(mat.Elem(1, 1), 4.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 3.0);
+  EXPECT_EQ(mat.Elem(1, 1), 4.0);
+  c = dynamic_cast<mfem::MatrixConstantCoefficient *>(&manager.getMatrixProperty("permittivity"));
+  ASSERT_NE(c, nullptr);
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 5.0);
+  EXPECT_EQ(mat.Elem(0, 1), 6.0);
+  EXPECT_EQ(mat.Elem(1, 0), 7.0);
+  EXPECT_EQ(mat.Elem(1, 1), 8.0);
+}
+
+TEST_F(CheckPropertyManager, DeclareCoefficientPWMatrix)
+{
+  manager.declareMatrix("test",
+                        {"1", "2"},
+                        _matrix_manager.make<mfem::MatrixConstantCoefficient>(
+                            mfem::DenseMatrix({{1., 2.}, {3., 4.}})));
+  manager.declareMatrix("test",
+                        {"3"},
+                        _matrix_manager.make<mfem::MatrixConstantCoefficient>(
+                            mfem::DenseMatrix({{-1., 4.}, {-10., -2.}})));
+  mfem::PWMatrixCoefficient * c =
+      dynamic_cast<mfem::PWMatrixCoefficient *>(&manager.getMatrixProperty("test"));
+  ASSERT_NE(c, nullptr);
+  mfem::DenseMatrix mat;
+  fe_transform.Attribute = 1;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 3.0);
+  EXPECT_EQ(mat.Elem(1, 1), 4.0);
+  c->Eval(mat, fe_transform, point2);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 3.0);
+  EXPECT_EQ(mat.Elem(1, 1), 4.0);
+  fe_transform.Attribute = 2;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 2.0);
+  EXPECT_EQ(mat.Elem(1, 0), 3.0);
+  EXPECT_EQ(mat.Elem(1, 1), 4.0);
+  fe_transform.Attribute = 3;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), -1.0);
+  EXPECT_EQ(mat.Elem(0, 1), 4.0);
+  EXPECT_EQ(mat.Elem(1, 0), -10.0);
+  EXPECT_EQ(mat.Elem(1, 1), -2.0);
+  fe_transform.Attribute = 10;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat.Elem(0, 0), 0.0);
+  EXPECT_EQ(mat.Elem(0, 1), 0.0);
+  EXPECT_EQ(mat.Elem(1, 0), 0.0);
+  EXPECT_EQ(mat.Elem(1, 1), 0.0);
+}
+
+TEST_F(CheckPropertyManager, MatrixIsDefined)
+{
+  manager.declareMatrix<mfem::MatrixConstantCoefficient>(
+      "a", manager.global, mfem::DenseMatrix({{2., 1.}, {0., 0.}}));
+  manager.declareMatrix<mfem::MatrixFunctionCoefficient>("b", manager.global, 2, matrix_func);
+  manager.declareMatrix("c",
+                        _matrix_manager.make<mfem::MatrixConstantCoefficient>(
+                            mfem::DenseMatrix({{1., 2.}, {3., 4.}})));
+  EXPECT_TRUE(manager.matrixIsDefined("a", "1"));
+  EXPECT_TRUE(manager.matrixIsDefined("a", "10"));
+  EXPECT_FALSE(manager.matrixIsDefined("A", "1"));
+  EXPECT_TRUE(manager.matrixIsDefined("b", "1"));
+  EXPECT_TRUE(manager.matrixIsDefined("b", "-57"));
+  EXPECT_FALSE(manager.matrixIsDefined("B", "1"));
+  EXPECT_TRUE(manager.matrixIsDefined("c", "0"));
+  EXPECT_TRUE(manager.matrixIsDefined("c", "20"));
+  EXPECT_FALSE(manager.matrixIsDefined("C", "0"));
+  EXPECT_FALSE(manager.matrixIsDefined("d", "0"));
+  EXPECT_FALSE(manager.matrixIsDefined("d", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("d", "2"));
+
+  EXPECT_FALSE(manager.scalarIsDefined("a", "1"));
+  EXPECT_FALSE(manager.vectorIsDefined("a", "1"));
+  EXPECT_FALSE(manager.scalarIsDefined("b", "1"));
+  EXPECT_FALSE(manager.vectorIsDefined("b", "1"));
+  EXPECT_FALSE(manager.scalarIsDefined("c", "1"));
+  EXPECT_FALSE(manager.vectorIsDefined("c", "1"));
+}
+
+TEST_F(CheckPropertyManager, MatrixPWIsDefined)
+{
+  manager.declareMatrix<mfem::MatrixConstantCoefficient>(
+      "a", {"1", "2"}, mfem::DenseMatrix({{2., 1.}, {0., 1.}}));
+  manager.declareMatrix<mfem::MatrixFunctionCoefficient>("b", {"-1", "0"}, 2, matrix_func);
+  manager.declareMatrix("c",
+                        {"42", "45"},
+                        _matrix_manager.make<mfem::MatrixConstantCoefficient>(
+                            mfem::DenseMatrix({{1., 2.}, {3., 4.}})));
+  EXPECT_TRUE(manager.matrixIsDefined("a", "1"));
+  EXPECT_TRUE(manager.matrixIsDefined("a", "2"));
+  EXPECT_FALSE(manager.matrixIsDefined("a", "0"));
+  EXPECT_FALSE(manager.matrixIsDefined("A", "1"));
+  EXPECT_TRUE(manager.matrixIsDefined("b", "-1"));
+  EXPECT_TRUE(manager.matrixIsDefined("b", "0"));
+  EXPECT_FALSE(manager.matrixIsDefined("b", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("B", "0"));
+  EXPECT_TRUE(manager.matrixIsDefined("c", "42"));
+  EXPECT_TRUE(manager.matrixIsDefined("c", "45"));
+  EXPECT_FALSE(manager.matrixIsDefined("c", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("C", "42"));
+  EXPECT_FALSE(manager.matrixIsDefined("d", "-1"));
+  EXPECT_FALSE(manager.matrixIsDefined("d", "0"));
+  EXPECT_FALSE(manager.matrixIsDefined("d", "1"));
+  EXPECT_FALSE(manager.matrixIsDefined("d", "2"));
+
+  EXPECT_FALSE(manager.scalarIsDefined("a", "1"));
+  EXPECT_FALSE(manager.vectorIsDefined("a", "1"));
+  EXPECT_FALSE(manager.scalarIsDefined("b", "-1"));
+  EXPECT_FALSE(manager.vectorIsDefined("b", "-1"));
+  EXPECT_FALSE(manager.scalarIsDefined("c", "42"));
+  EXPECT_FALSE(manager.vectorIsDefined("c", "42"));
+}
+
+TEST_F(CheckPropertyManager, CheckRepeatedNames)
+{
+  // Check there can be scalar, vector, and matrix coefficients defined with the same name
+  manager.declareScalar<mfem::ConstantCoefficient>("a", manager.global, 2.);
+  manager.declareVector<mfem::VectorConstantCoefficient>(
+      "a", manager.global, mfem::Vector({2., 1.}));
+  manager.declareMatrix<mfem::MatrixConstantCoefficient>(
+      "a", manager.global, mfem::DenseMatrix({{2., 1.}, {0., 1.}}));
+
+  manager.declareMatrix<mfem::MatrixConstantCoefficient>(
+      "b", manager.global, mfem::DenseMatrix({{2., 1.}, {0., 1.}}));
+  manager.declareScalar<mfem::ConstantCoefficient>("b", manager.global, 2.);
+  manager.declareVector<mfem::VectorConstantCoefficient>(
+      "b", manager.global, mfem::Vector({2., 1.}));
+
+  manager.declareVector<mfem::VectorConstantCoefficient>(
+      "c", manager.global, mfem::Vector({2., 1.}));
+  manager.declareMatrix<mfem::MatrixConstantCoefficient>(
+      "c", manager.global, mfem::DenseMatrix({{2., 1.}, {0., 1.}}));
+  manager.declareScalar<mfem::ConstantCoefficient>("c", manager.global, 2.);
+
+  // Check that coefficients can not be redefined
+  EXPECT_THROW(manager.declareScalar<mfem::ConstantCoefficient>("a", manager.global, 2.),
+               MooseException);
+  EXPECT_THROW(manager.declareVector<mfem::VectorConstantCoefficient>(
+                   "a", manager.global, mfem::Vector({2., 1.})),
+               MooseException);
+  EXPECT_THROW(manager.declareMatrix<mfem::MatrixConstantCoefficient>(
+                   "a", manager.global, mfem::DenseMatrix({{2., 1.}, {0., 1.}})),
+               MooseException);
+}
+
+#endif
diff --git a/unit/src/TestPropertyMap.C b/unit/src/TestPropertyMap.C
new file mode 100644
index 000000000000..3bf4e888bbf3
--- /dev/null
+++ b/unit/src/TestPropertyMap.C
@@ -0,0 +1,271 @@
+#ifdef MFEM_ENABLED
+
+#include <algorithm>
+
+#include "gtest/gtest.h"
+#include "property_map.h"
+
+#include "libmesh/ignore_warnings.h"
+#include "mfem.hpp"
+#include "libmesh/restore_warnings.h"
+
+class CheckPropertyMap : public testing::Test
+{
+protected:
+  mfem::IsoparametricTransformation fe_transform;
+  mfem::IntegrationPoint point1, point2;
+  platypus::ScalarCoefficientManager _scalar_manager;
+  platypus::VectorCoefficientManager _vector_manager;
+  platypus::MatrixCoefficientManager _matrix_manager;
+  CheckPropertyMap()
+  {
+    point1.Init(2);
+    point1.Set2(0., 0.);
+    point2.Init(2);
+    point2.Set2(0.5, 0.1);
+    fe_transform.SetIdentityTransformation(mfem::Geometry::SQUARE);
+  }
+};
+
+TEST_F(CheckPropertyMap, HasCoefficient)
+{
+  platypus::ScalarMap prop_map(_scalar_manager);
+  prop_map.addProperty("test", std::make_unique<mfem::ConstantCoefficient>(1.));
+  EXPECT_TRUE(prop_map.hasCoefficient("test"));
+  EXPECT_FALSE(prop_map.hasCoefficient("missing"));
+}
+
+TEST_F(CheckPropertyMap, GetCoefficient)
+{
+  platypus::ScalarMap prop_map(_scalar_manager);
+  prop_map.addProperty("resistivity", std::make_unique<mfem::ConstantCoefficient>(2.));
+  mfem::ConstantCoefficient * c =
+      dynamic_cast<mfem::ConstantCoefficient *>(&prop_map.getCoefficient("resistivity"));
+  EXPECT_NE(c, nullptr);
+  EXPECT_EQ(c->Eval(fe_transform, point1), 2.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 2.0);
+}
+
+TEST_F(CheckPropertyMap, GetPWCoefficient)
+{
+  platypus::ScalarMap prop_map(_scalar_manager);
+  prop_map.addPiecewiseBlocks("test", std::make_shared<mfem::ConstantCoefficient>(2.), {"1", "2"});
+  prop_map.addPiecewiseBlocks("test", std::make_shared<mfem::ConstantCoefficient>(1.), {"3"});
+  mfem::PWCoefficient * c = dynamic_cast<mfem::PWCoefficient *>(&prop_map.getCoefficient("test"));
+  EXPECT_NE(c, nullptr);
+  fe_transform.Attribute = 1;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 2.0);
+  EXPECT_EQ(c->Eval(fe_transform, point2), 2.0);
+  fe_transform.Attribute = 2;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 2.0);
+  fe_transform.Attribute = 3;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 1.0);
+  fe_transform.Attribute = 10;
+  EXPECT_EQ(c->Eval(fe_transform, point1), 0.0);
+}
+
+TEST_F(CheckPropertyMap, HasVecCoefficient)
+{
+  platypus::VectorMap prop_map(_vector_manager);
+  prop_map.addProperty(
+      "test", std::make_unique<mfem::VectorConstantCoefficient>(mfem::Vector({0., 1., 0.})));
+  EXPECT_TRUE(prop_map.hasCoefficient("test"));
+  EXPECT_FALSE(prop_map.hasCoefficient("missing"));
+}
+
+TEST_F(CheckPropertyMap, GetVecCoefficient)
+{
+  platypus::VectorMap prop_map(_vector_manager);
+  prop_map.addProperty(
+      "resistivity", std::make_unique<mfem::VectorConstantCoefficient>(mfem::Vector({0., 1., 0.})));
+  mfem::VectorConstantCoefficient * c =
+      dynamic_cast<mfem::VectorConstantCoefficient *>(&prop_map.getCoefficient("resistivity"));
+  EXPECT_NE(c, nullptr);
+  mfem::Vector vec;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.);
+  EXPECT_EQ(vec[1], 1.);
+  EXPECT_EQ(vec[2], 0.);
+}
+
+TEST_F(CheckPropertyMap, GetPWVecCoefficient)
+{
+  platypus::VectorMap prop_map(_vector_manager);
+  prop_map.addPiecewiseBlocks(
+      "test",
+      std::make_shared<mfem::VectorConstantCoefficient>(mfem::Vector({0., 1., 0.})),
+      {"1", "2"});
+  prop_map.addPiecewiseBlocks(
+      "test", std::make_shared<mfem::VectorConstantCoefficient>(mfem::Vector({1., 0., 0.})), {"3"});
+  mfem::PWVectorCoefficient * c =
+      dynamic_cast<mfem::PWVectorCoefficient *>(&prop_map.getCoefficient("test"));
+  EXPECT_NE(c, nullptr);
+  mfem::Vector vec;
+  fe_transform.Attribute = 1;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.);
+  EXPECT_EQ(vec[1], 1.);
+  EXPECT_EQ(vec[2], 0.);
+  fe_transform.Attribute = 2;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.);
+  EXPECT_EQ(vec[1], 1.);
+  EXPECT_EQ(vec[2], 0.);
+  fe_transform.Attribute = 3;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 1.);
+  EXPECT_EQ(vec[1], 0.);
+  EXPECT_EQ(vec[2], 0.);
+  fe_transform.Attribute = 10;
+  c->Eval(vec, fe_transform, point1);
+  EXPECT_EQ(vec[0], 0.);
+  EXPECT_EQ(vec[1], 0.);
+  EXPECT_EQ(vec[2], 0.);
+}
+
+TEST_F(CheckPropertyMap, HasMatCoefficient)
+{
+  platypus::MatrixMap prop_map(_matrix_manager);
+  prop_map.addProperty(
+      "test",
+      std::make_unique<mfem::MatrixConstantCoefficient>(mfem::DenseMatrix({{0., 1.}, {1., 0.}})));
+  EXPECT_TRUE(prop_map.hasCoefficient("test"));
+  EXPECT_FALSE(prop_map.hasCoefficient("missing"));
+}
+
+TEST_F(CheckPropertyMap, GetMatCoefficient)
+{
+  platypus::MatrixMap prop_map(_matrix_manager);
+  prop_map.addProperty(
+      "resistivity",
+      std::make_unique<mfem::MatrixConstantCoefficient>(mfem::DenseMatrix({{0., 1.}, {1., 0.}})));
+  mfem::MatrixConstantCoefficient * c =
+      dynamic_cast<mfem::MatrixConstantCoefficient *>(&prop_map.getCoefficient("resistivity"));
+  EXPECT_NE(c, nullptr);
+  mfem::DenseMatrix mat;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat(0, 0), 0.);
+  EXPECT_EQ(mat(0, 1), 1.);
+  EXPECT_EQ(mat(1, 0), 1.);
+  EXPECT_EQ(mat(1, 1), 0.);
+}
+
+TEST_F(CheckPropertyMap, GetPWMatCoefficient)
+{
+  platypus::MatrixMap prop_map(_matrix_manager);
+  prop_map.addPiecewiseBlocks(
+      "test",
+      std::make_shared<mfem::MatrixConstantCoefficient>(mfem::DenseMatrix({{0., 1.}, {1., 0.}})),
+      {"1", "2"});
+  prop_map.addPiecewiseBlocks(
+      "test",
+      std::make_shared<mfem::MatrixConstantCoefficient>(mfem::DenseMatrix({{11., 0.}, {0., -1.}})),
+      {"3"});
+  mfem::PWMatrixCoefficient * c =
+      dynamic_cast<mfem::PWMatrixCoefficient *>(&prop_map.getCoefficient("test"));
+  EXPECT_NE(c, nullptr);
+  mfem::DenseMatrix mat;
+  fe_transform.Attribute = 1;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat(0, 0), 0.);
+  EXPECT_EQ(mat(0, 1), 1.);
+  EXPECT_EQ(mat(1, 0), 1.);
+  EXPECT_EQ(mat(1, 1), 0.);
+  fe_transform.Attribute = 2;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat(0, 0), 0.);
+  EXPECT_EQ(mat(0, 1), 1.);
+  EXPECT_EQ(mat(1, 0), 1.);
+  EXPECT_EQ(mat(1, 1), 0.);
+  fe_transform.Attribute = 3;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat(0, 0), 11.);
+  EXPECT_EQ(mat(0, 1), 0.);
+  EXPECT_EQ(mat(1, 0), 0.);
+  EXPECT_EQ(mat(1, 1), -1.);
+  fe_transform.Attribute = 10;
+  c->Eval(mat, fe_transform, point1);
+  EXPECT_EQ(mat(0, 0), 0.);
+  EXPECT_EQ(mat(0, 1), 0.);
+  EXPECT_EQ(mat(1, 0), 0.);
+  EXPECT_EQ(mat(1, 1), 0.);
+}
+
+TEST_F(CheckPropertyMap, CoefficientDefinedOnBlock)
+{
+  platypus::ScalarMap prop_map(_scalar_manager);
+  prop_map.addPiecewiseBlocks("a", std::make_shared<mfem::ConstantCoefficient>(2.), {"1", "2"});
+  prop_map.addProperty("b", std::make_unique<mfem::ConstantCoefficient>(5.));
+  EXPECT_TRUE(prop_map.coefficientDefinedOnBlock("a", "1"));
+  EXPECT_TRUE(prop_map.coefficientDefinedOnBlock("a", "2"));
+  EXPECT_FALSE(prop_map.coefficientDefinedOnBlock("a", "3"));
+  EXPECT_FALSE(prop_map.coefficientDefinedOnBlock("a", "0"));
+  EXPECT_TRUE(prop_map.coefficientDefinedOnBlock("b", "0"));
+  EXPECT_TRUE(prop_map.coefficientDefinedOnBlock("b", "1"));
+  EXPECT_TRUE(prop_map.coefficientDefinedOnBlock("b", "2"));
+  EXPECT_FALSE(prop_map.coefficientDefinedOnBlock("c", "1"));
+  EXPECT_FALSE(prop_map.coefficientDefinedOnBlock("A", "1"));
+  EXPECT_FALSE(prop_map.coefficientDefinedOnBlock("B", "1"));
+}
+
+TEST_F(CheckPropertyMap, OverwriteProperty)
+{
+  platypus::ScalarMap prop_map(_scalar_manager);
+  prop_map.addProperty("resistivity", std::make_unique<mfem::ConstantCoefficient>(2.));
+  EXPECT_THROW(prop_map.addProperty("resistivity", std::make_unique<mfem::ConstantCoefficient>(4.)),
+               MooseException);
+}
+
+TEST_F(CheckPropertyMap, PropertyNotDeclared)
+{
+  platypus::ScalarMap prop_map(_scalar_manager);
+  EXPECT_THROW(prop_map.getCoefficient("NotDeclared"), MooseException);
+}
+
+TEST_F(CheckPropertyMap, AddBlocksForUniformProperty)
+{
+  platypus::ScalarMap prop_map(_scalar_manager);
+  prop_map.addProperty("resistivity", std::make_unique<mfem::ConstantCoefficient>(2.));
+  EXPECT_THROW(prop_map.addPiecewiseBlocks(
+                   "resistivity", std::make_shared<mfem::ConstantCoefficient>(1.), {"1", "2"}),
+               MooseException);
+}
+
+TEST_F(CheckPropertyMap, OverwriteBlocks)
+{
+  platypus::ScalarMap prop_map(_scalar_manager);
+  prop_map.addPiecewiseBlocks(
+      "resistivity", std::make_shared<mfem::ConstantCoefficient>(2.), {"2", "3"});
+  EXPECT_THROW(prop_map.addPiecewiseBlocks(
+                   "resistivity", std::make_shared<mfem::ConstantCoefficient>(1.), {"1", "2"}),
+               MooseException);
+}
+
+TEST_F(CheckPropertyMap, DifferentVecSize)
+{
+  platypus::VectorMap prop_map(_vector_manager);
+  prop_map.addPiecewiseBlocks(
+      "test",
+      std::make_shared<mfem::VectorConstantCoefficient>(mfem::Vector({0., 1., 0.})),
+      {"1", "2"});
+  EXPECT_THROW(
+      prop_map.addPiecewiseBlocks(
+          "test", std::make_shared<mfem::VectorConstantCoefficient>(mfem::Vector({1., 0.})), {"3"}),
+      MooseException);
+}
+
+TEST_F(CheckPropertyMap, DifferentMatSize)
+{
+  platypus::MatrixMap prop_map(_matrix_manager);
+  prop_map.addPiecewiseBlocks(
+      "test",
+      std::make_shared<mfem::MatrixConstantCoefficient>(mfem::DenseMatrix({{0., 1.}, {1., 0.}})),
+      {"1", "2"});
+  EXPECT_THROW(prop_map.addPiecewiseBlocks("test",
+                                           std::make_shared<mfem::MatrixConstantCoefficient>(
+                                               mfem::DenseMatrix({{11., 0., 42.}, {0., -1., 10.}})),
+                                           {"3"}),
+               MooseException);
+}
+
+#endif
diff --git a/unit/src/TestScaleIntegrator.C b/unit/src/TestScaleIntegrator.C
new file mode 100644
index 000000000000..f49e5e09c6c6
--- /dev/null
+++ b/unit/src/TestScaleIntegrator.C
@@ -0,0 +1,132 @@
+#ifdef MFEM_ENABLED
+
+#include "gtest/gtest.h"
+#include "libmesh/ignore_warnings.h"
+#include "mfem.hpp"
+#include "libmesh/restore_warnings.h"
+#include "ScaleIntegrator.h"
+
+TEST(CheckData, ScaleIntegratorTestLegacy)
+{
+  mfem::Mesh mesh = mfem::Mesh::MakeCartesian3D(1, 1, 1, mfem::Element::HEXAHEDRON);
+  mfem::H1_FECollection fec(2, mesh.Dimension());
+  mfem::FiniteElementSpace fes(&mesh, &fec);
+
+  mfem::SumIntegrator integ_sum(true);
+  integ_sum.AddIntegrator(new mfem::MassIntegrator);
+  integ_sum.AddIntegrator(new mfem::MassIntegrator);
+
+  platypus::ScaleIntegrator integ_scale(new mfem::MassIntegrator, 2);
+
+  const mfem::FiniteElement & el1 = *fes.GetFE(0);
+  const mfem::FiniteElement & el2 = *fes.GetFE(0);
+  mfem::ElementTransformation & T = *mesh.GetElementTransformation(0);
+  mfem::DenseMatrix m1, m2;
+
+  // AssembleElementMatrix
+  integ_scale.AssembleElementMatrix(el1, T, m1);
+  integ_sum.AssembleElementMatrix(el1, T, m2);
+  m1 -= m2;
+  EXPECT_NEAR(m1.MaxMaxNorm(), 0, 1e-12);
+
+  // AssembleElementMatrix2
+  integ_scale.AssembleElementMatrix2(el1, el2, T, m1);
+  integ_sum.AssembleElementMatrix2(el1, el2, T, m2);
+  m1 -= m2;
+  EXPECT_NEAR(m1.MaxMaxNorm(), 0, 1e-12);
+
+  // Test SetIntRule
+  mfem::QuadratureSpace qs(&mesh, 1);
+  const mfem::IntegrationRule & ir = qs.GetIntRule(0);
+
+  EXPECT_NO_THROW({ integ_scale.SetIntRule(&ir); });
+}
+
+TEST(CheckData, ScaleIntegratorTestFaceAssembly)
+{
+  mfem::Mesh mesh = mfem::Mesh::MakeCartesian3D(2, 1, 1, mfem::Element::HEXAHEDRON);
+  mfem::DG_FECollection fec(2, mesh.Dimension(), mfem::BasisType::GaussLobatto);
+  mfem::FiniteElementSpace fes(&mesh, &fec);
+
+  mfem::Vector v(mesh.Dimension());
+  v = 1.0;
+  mfem::VectorConstantCoefficient v_coeff(v);
+
+  mfem::DGTraceIntegrator integ(v_coeff, 1.0, 2.0);
+  mfem::SumIntegrator integ_sum(false);
+  integ_sum.AddIntegrator(&integ);
+  integ_sum.AddIntegrator(&integ);
+
+  platypus::ScaleIntegrator integ_scale(&integ, 2, false);
+
+  mfem::DenseMatrix m1, m2;
+
+  // AssembleFaceMatrix
+  int nfaces = mesh.GetNumFaces();
+  for (int i = 0; i < nfaces; i++)
+  {
+    mfem::FaceElementTransformations * tr = mesh.GetFaceElementTransformations(i);
+    const mfem::FiniteElement & el0 = *fes.GetFE(tr->Elem1No);
+    const mfem::FiniteElement & el1 = (tr->Elem2No >= 0) ? *fes.GetFE(tr->Elem2No) : el0;
+    integ_scale.AssembleFaceMatrix(el0, el1, *tr, m1);
+    integ_sum.AssembleFaceMatrix(el0, el1, *tr, m2);
+    m1 -= m2;
+
+    EXPECT_NEAR(m1.MaxMaxNorm(), 0, 1e-12);
+  }
+
+  EXPECT_NO_THROW({
+    integ_scale.AssemblePAInteriorFaces(fes);
+    integ_scale.AssemblePABoundaryFaces(fes);
+  });
+}
+
+TEST(CheckData, ScaleIntegratorTestPartial)
+{
+  mfem::Mesh mesh = mfem::Mesh::MakeCartesian3D(1, 1, 1, mfem::Element::HEXAHEDRON);
+  mfem::H1_FECollection fec(2, mesh.Dimension());
+  mfem::FiniteElementSpace fes(&mesh, &fec);
+
+  mfem::SumIntegrator integ_sum(true);
+  integ_sum.AddIntegrator(new mfem::MassIntegrator);
+  integ_sum.AddIntegrator(new mfem::MassIntegrator);
+
+  platypus::ScaleIntegrator integ_scale(new mfem::MassIntegrator, 2);
+
+  mfem::DenseMatrix m1, m2;
+
+  // Partial Assembly
+  integ_sum.AssemblePA(fes);
+  integ_scale.AssemblePA(fes);
+
+  int n = fes.GetTrueVSize();
+  mfem::Vector x(n), y1(n), y2(n);
+  mfem::Vector diag1(n), diag2(n);
+  x.Randomize(1);
+
+  // AddMultPA
+  y1 = 0.0;
+  y2 = 0.0;
+  integ_scale.AddMultPA(x, y1);
+  integ_sum.AddMultPA(x, y2);
+  y1 -= y2;
+  EXPECT_NEAR(y1.Normlinf(), 0, 1e-12);
+
+  // AddMultTransposePA
+  y1 = 0.0;
+  y2 = 0.0;
+  integ_scale.AddMultTransposePA(x, y1);
+  integ_sum.AddMultTransposePA(x, y2);
+  y1 -= y2;
+  EXPECT_NEAR(y1.Normlinf(), 0, 1e-12);
+
+  // AssembleDiagonalPA
+  diag1 = 0.0;
+  diag2 = 0.0;
+  integ_scale.AssembleDiagonalPA(diag1);
+  integ_sum.AssembleDiagonalPA(diag2);
+  diag1 -= diag2;
+  EXPECT_NEAR(diag1.Normlinf(), 0, 1e-12);
+}
+
+#endif