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MueLu: test higher-order line, quad in IntrepidPCoarsenFactory.cpp #13534

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Following #13505, this PR adds testing up to Intrepid2::Parameters::MaxOrder-1 for spectral bases. It continues to test only up to order 9 for equispaced bases.

Note that there is an algorithmic failure in GenerateRepresentativeBasisNodes for equi-spaced line bases of various orders. For example, for a "low" line basis of order 7, and a "high" line basis of order 10, no "candidate" is generated for the third low-order basis function. See the Appendix below for some numerical details of this failure.

  • One possible repair, setting vmax to be the greatest basis value without taking a magnitude of LoValues(i,j), does succeed in fixing this case. But there are other cases for which the algorithm fails the "no duplicates" test.
  • Another possible repair, comparing vmax to the magnitude of LoValues(i,j) in the candidate-setting loop, also succeeds in fixing the 7/10 case. But again there are other cases for which the algorithm fails the "no duplicates" test.
  • A possible repair with greatest promise (I think) is to consider the difference between LoValues(i,j) and 1.0, and use as candidates those values that are closest to 1.0. It seems clear that for scalar-valued nodal bases this is a reasonable thing, but I'm less sure whether it is is reasonable for H(div) and H(curl) bases, for example. The best thing (I think) would be to pass in a set of HiValues(j) that told you what the high-order basis value at the high-order node is, and then to take the low-order basis that comes closest. But that would mean changing the interface to GenerateRepresentativeBasisNodes.

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Related Issues

#13505.

Appendix: Equispaced Line Basis for p=7 Evaluated at the p=10 Basis's Nodes

Here are the results of evaluating the p=7 equispaced basis at the p=10 basis's dof coords. The first index corresponds to the low-order dof ordinal, and the second to the high-order dof ordinal. Note the (2,1) entry in particular: this has magnitude greater than any other (2,j) entry, so vmax is set to the absolute value of this. But since it is a negative value, it does not get recorded as a candidate, and the "sanity check" that verifies that each low-order dof has a high-order candidate then fails.

(0,0) = 1
(0,1) = 0.116503
(0,2) = -0.0187083
(0,3) = -0.00240774
(0,4) = 0.0041769
(0,5) = -0.00148898
(0,6) = -0.00124082
(0,7) = 0.0023868
(0,8) = -0.000902902
(0,9) = -0.0041574
(0,10) = 0.0116503
(0,11) = -1.33492e-16
(1,0) = 1.48024e-16
(1,1) = 1.42717
(1,2) = 0.611138
(1,3) = 0.0353937
(1,4) = -0.0481572
(1,5) = 0.0152
(1,6) = 0.0117677
(1,7) = -0.021544
(1,8) = 0.00786528
(1,9) = 0.035258
(1,10) = -0.096757
(1,11) = -3.14557e-16
(2,0) = 1.8466e-20
(2,1) = -1.14173
(2,2) = 0.68753
(2,3) = 1.06181
(2,4) = 0.409336
(2,5) = -0.0841846
(2,6) = -0.05472
(2,7) = 0.0909636
(2,8) = -0.0312298
(2,9) = -0.134152
(2,10) = 0.356791
(2,11) = -1.11024e-15
(3,0) = -3.70382e-17
(3,1) = 1.09782
(3,2) = -0.482477
(3,3) = -0.147474
(3,4) = 0.818673
(3,5) = 0.912
(3,6) = 0.202667
(3,7) = -0.255835
(3,8) = 0.0769429
(3,9) = 0.305569
(3,10) = -0.771441
(3,11) = 2.92362e-15
(4,0) = 3.70382e-17
(4,1) = -0.771441
(4,2) = 0.305569
(4,3) = 0.0769429
(4,4) = -0.255835
(4,5) = 0.202667
(4,6) = 0.912
(4,7) = 0.818673
(4,8) = -0.147474
(4,9) = -0.482477
(4,10) = 1.09782
(4,11) = -3.36771e-15
(5,0) = 2.22026e-16
(5,1) = 0.356791
(5,2) = -0.134152
(5,3) = -0.0312298
(5,4) = 0.0909636
(5,5) = -0.05472
(5,6) = -0.0841846
(5,7) = 0.409336
(5,8) = 1.06181
(5,9) = 0.68753
(5,10) = -1.14173
(5,11) = 4.21887e-15
(6,0) = -3.70013e-17
(6,1) = -0.096757
(6,2) = 0.035258
(6,3) = 0.00786528
(6,4) = -0.021544
(6,5) = 0.0117677
(6,6) = 0.0152
(6,7) = -0.0481572
(6,8) = 0.0353937
(6,9) = 0.611138
(6,10) = 1.42717
(6,11) = -2.62753e-15
(7,0) = 1.91637e-17
(7,1) = 0.0116503
(7,2) = -0.0041574
(7,3) = -0.000902902
(7,4) = 0.0023868
(7,5) = -0.00124082
(7,6) = -0.00148898
(7,7) = 0.0041769
(7,8) = -0.00240774
(7,9) = -0.0187083
(7,10) = 0.116503
(7,11) = 1

…IntrepidPCoarsenFactory_def.hpp, along with enablement of higher-order tests in IntrepidPCoarsenFactory.cpp.

Still building the tests right now; will see if they pass with this change.
…, spectral tests. Equispaced has a legitimate algorithmic failure for p=10 and up, so we test only up to p=9 until an algorithmic fix can be determined.
@CamelliaDPG CamelliaDPG requested a review from a team as a code owner October 15, 2024 23:01
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Pull Request Author: CamelliaDPG

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Please make sure that clang-format passes before this is merged.

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Thanks, @CamelliaDPG !

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PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: PR_clang

  • Build Num: 684
  • Status: STARTED

Jenkins Parameters

Parameter Name Value
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_sems-clang-11.0.1-openmpi-4.0.5-serial_release-debug_shared_no-kokkos-arch_no-asan_no-complex_no-fpic_mpi_no-pt_no-rdc_no-uvm_deprecated-on_no-package-enables
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: Trilinos_PR_python3

  • Build Num: 4643
  • Status: STARTED

Jenkins Parameters

Parameter Name Value
BLOCKING_BUILD false
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_aue-gnu-12.1.0-anaconda3-serial_debug_shared_no-kokkos-arch_no-asan_no-complex_no-fpic_no-mpi_no-pt_no-rdc_no-uvm_deprecated-on_pr-framework
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: PR_cuda

  • Build Num: 683
  • Status: STARTED

Jenkins Parameters

Parameter Name Value
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_sems-cuda-11.4.2-gnu-10.1.0-openmpi-4.1.6_release_static_Volta70_no-asan_complex_no-fpic_mpi_pt_no-rdc_no-uvm_deprecated-on_no-package-enables
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8-gpu
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: PR_intel

  • Build Num: 604
  • Status: STARTED

Jenkins Parameters

Parameter Name Value
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_sems-intel-2021.3-sems-openmpi-4.1.6_release-debug_shared_no-kokkos-arch_no-asan_no-complex_fpic_mpi_no-pt_no-rdc_no-uvm_deprecated-on_no-package-enables
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: PR_cuda-uvm

  • Build Num: 683
  • Status: STARTED

Jenkins Parameters

Parameter Name Value
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_sems-cuda-11.4.2-gnu-10.1.0-openmpi-4.1.6_release_static_Volta70_no-asan_complex_no-fpic_mpi_pt_no-rdc_uvm_deprecated-on_no-package-enables
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Using Repos:

Repo: TRILINOS (CamelliaDPG/Trilinos)
  • Branch: muelu-intrepid2-pcoarsen-higher-order
  • SHA: 333d666
  • Mode: TEST_REPO

Pull Request Author: CamelliaDPG

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Status Flag 'Pull Request AutoTester' - Jenkins Testing: all Jobs PASSED

Pull Request Auto Testing has PASSED (click to expand)

Build Information

Test Name: PR_gcc-openmpi-openmp

  • Build Num: 635
  • Status: PASSED

Jenkins Parameters

Parameter Name Value
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_sems-gnu-8.5.0-openmpi-4.1.6-openmp_release-debug_static_no-kokkos-arch_no-asan_no-complex_no-fpic_mpi_no-pt_no-rdc_no-uvm_deprecated-on_no-package-enables
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: PR_gcc

  • Build Num: 685
  • Status: PASSED

Jenkins Parameters

Parameter Name Value
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_sems-gnu-8.5.0-serial_release-debug_shared_no-kokkos-arch_no-asan_no-complex_no-fpic_no-mpi_no-pt_no-rdc_no-uvm_deprecated-on_no-package-enables
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: PR_gcc-openmpi_debug

  • Build Num: 686
  • Status: PASSED

Jenkins Parameters

Parameter Name Value
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_sems-gnu-8.5.0-openmpi-4.1.6-serial_debug_shared_no-kokkos-arch_no-asan_no-complex_no-fpic_mpi_no-pt_no-rdc_no-uvm_deprecated-on_no-package-enables
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: PR_clang

  • Build Num: 684
  • Status: PASSED

Jenkins Parameters

Parameter Name Value
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_sems-clang-11.0.1-openmpi-4.0.5-serial_release-debug_shared_no-kokkos-arch_no-asan_no-complex_no-fpic_mpi_no-pt_no-rdc_no-uvm_deprecated-on_no-package-enables
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: Trilinos_PR_python3

  • Build Num: 4643
  • Status: PASSED

Jenkins Parameters

Parameter Name Value
BLOCKING_BUILD false
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_aue-gnu-12.1.0-anaconda3-serial_debug_shared_no-kokkos-arch_no-asan_no-complex_no-fpic_no-mpi_no-pt_no-rdc_no-uvm_deprecated-on_pr-framework
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: PR_cuda

  • Build Num: 683
  • Status: PASSED

Jenkins Parameters

Parameter Name Value
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_sems-cuda-11.4.2-gnu-10.1.0-openmpi-4.1.6_release_static_Volta70_no-asan_complex_no-fpic_mpi_pt_no-rdc_no-uvm_deprecated-on_no-package-enables
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8-gpu
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: PR_intel

  • Build Num: 604
  • Status: PASSED

Jenkins Parameters

Parameter Name Value
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_sems-intel-2021.3-sems-openmpi-4.1.6_release-debug_shared_no-kokkos-arch_no-asan_no-complex_fpic_mpi_no-pt_no-rdc_no-uvm_deprecated-on_no-package-enables
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9

Build Information

Test Name: PR_cuda-uvm

  • Build Num: 683
  • Status: PASSED

Jenkins Parameters

Parameter Name Value
FORCE_CLEAN true
GENCONFIG_BUILD_NAME rhel8_sems-cuda-11.4.2-gnu-10.1.0-openmpi-4.1.6_release_static_Volta70_no-asan_complex_no-fpic_mpi_pt_no-rdc_uvm_deprecated-on_no-package-enables
PR_LABELS
PULLREQUESTNUM 13534
PULLREQUEST_CDASH_TRACK Pull Request
TEST_REPO_ALIAS TRILINOS
TRILINOS_NODE_LABEL rhel8
TRILINOS_SOURCE_REPO https://github.com/CamelliaDPG/Trilinos
TRILINOS_SOURCE_SHA 333d666
TRILINOS_SRN_CONFIG true
TRILINOS_TARGET_BRANCH develop
TRILINOS_TARGET_REPO https://github.com/trilinos/Trilinos
TRILINOS_TARGET_SHA a3c26a9


CDash Test Results for PR# 13534.

@trilinos-autotester
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Status Flag 'Pre-Merge Inspection' - SUCCESS: The last commit to this Pull Request has been INSPECTED AND APPROVED by [ cgcgcg ]!

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Status Flag 'Pull Request AutoTester' - AutoMerge IS ENABLED, but the Label AT: AUTOMERGE is not set. Either set Label AT: AUTOMERGE or manually merge the PR...

@CamelliaDPG CamelliaDPG merged commit ffcdd92 into trilinos:develop Oct 17, 2024
13 of 16 checks passed
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