v0.8.23
continuity_check_on_skeleton_with_simple_2d.cpp

Integration on skeleton for 2dTeting integration on skeleton and checking of continuity of hcurl space on edges.

/**
* \file continuity_check_on_skeleton_with_simple_2d.cpp
* \ingroup mofem_simple_interface
* \example continuity_check_on_skeleton_with_simple_2d.cpp
*
* \brief Integration on skeleton for 2d
*
* Teting integration on skeleton and checking of continuity of hcurl space on
* edges.
*/
/* This file is part of MoFEM.
* MoFEM is free software: you can redistribute it and/or modify it under
* the terms of the GNU Lesser General Public License as published by the
* Free Software Foundation, either version 3 of the License, or (at your
* option) any later version.
*
* MoFEM is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
* License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with MoFEM. If not, see <http://www.gnu.org/licenses/>. */
#include <MoFEM.hpp>
using namespace MoFEM;
static char help[] = "...\n\n";
FaceElementForcesAndSourcesCore::NO_HO_GEOMETRY>;
struct CommonData {
MatrixDouble dotEdge;
MatrixDouble dotEleLeft;
MatrixDouble dotEleRight;
};
struct SkeletonFE : public EdgeEleOp {
struct OpFaceSide : public FaceEleOnSideOp {
CommonData &elemData;
OpFaceSide(CommonData &elem_data)
: FaceEleOnSideOp("FIELD", UserDataOperator::OPROW), elemData(elem_data) {}
MoFEMErrorCode doWork(int side, EntityType type,
if (type == MBEDGE && side == getEdgeSideNumber()) {
MatrixDouble diff = getCoordsAtGaussPts() - getEdgeCoordsAtGaussPts();
const double eps = 1e-12;
if (norm_inf(diff) > eps)
SETERRQ(PETSC_COMM_WORLD, MOFEM_ATOM_TEST_INVALID,
"coordinates at integration pts are different");
const size_t nb_dofs = data.getN().size2() / 3;
const size_t nb_integration_pts = data.getN().size1();
auto t_tangent = getFTensor1Direction();
auto t_hdiv_base = data.getFTensor1N<3>();
MatrixDouble *ptr_dot_elem_data = nullptr;
if (getFEMethod()->nInTheLoop == 0)
ptr_dot_elem_data = &elemData.dotEleLeft;
else
ptr_dot_elem_data = &elemData.dotEleRight;
MatrixDouble &dot_elem_data = *ptr_dot_elem_data;
dot_elem_data.resize(nb_integration_pts, nb_dofs, false);
for (size_t gg = 0; gg != nb_integration_pts; ++gg) {
for (size_t bb = 0; bb != nb_dofs; ++bb) {
dot_elem_data(gg, bb) = t_tangent(i) * t_hdiv_base(i);
++t_hdiv_base;
}
}
}
}
};
CommonData &elemData;
FaceEleOnSide faceSideFe;
SkeletonFE(MoFEM::Interface &m_field, CommonData &elem_data)
faceSideFe(m_field), elemData(elem_data) {
faceSideFe.getOpPtrVector().push_back(new SkeletonFE::OpFaceSide(elemData));
}
MoFEMErrorCode doWork(int side, EntityType type,
if (type == MBEDGE) {
const size_t nb_dofs = data.getN().size2() / 3;
const size_t nb_integration_pts = data.getN().size1();
auto t_tangent = getFTensor1Direction();
auto t_hcurl_base = data.getFTensor1N<3>();
elemData.dotEdge.resize(nb_integration_pts, nb_dofs, false);
elemData.dotEleLeft.resize(nb_integration_pts, 0, false);
elemData.dotEleRight.resize(nb_integration_pts, 0, false);
for (size_t gg = 0; gg != nb_integration_pts; ++gg) {
for (size_t bb = 0; bb != nb_dofs; ++bb) {
elemData.dotEdge(gg, bb) = t_tangent(i) * t_hcurl_base(i);
++t_hcurl_base;
}
}
CHKERR loopSideFaces("dFE", faceSideFe);
auto check_continuity_of_base = [&](auto &vol_dot_data) {
if (vol_dot_data.size1() != elemData.dotEdge.size1())
SETERRQ(PETSC_COMM_SELF, MOFEM_ATOM_TEST_INVALID,
"Inconsistent number of integration points");
if (vol_dot_data.size2() != elemData.dotEdge.size2())
SETERRQ(PETSC_COMM_SELF, MOFEM_ATOM_TEST_INVALID,
"Inconsistent number of base functions");
const double eps = 1e-12;
for (size_t gg = 0; gg != vol_dot_data.size1(); ++gg)
for (size_t bb = 0; bb != vol_dot_data.size2(); ++bb) {
const double error =
std::abs(vol_dot_data(gg, bb) - elemData.dotEdge(gg, bb));
if (error > eps)
SETERRQ4(PETSC_COMM_SELF, MOFEM_ATOM_TEST_INVALID,
"Inconsistency (%d, %d) %3.4e != %3.4e", gg, bb,
vol_dot_data(gg, bb), elemData.dotEdge(gg, bb));
}
};
if (elemData.dotEleLeft.size2() != 0)
CHKERR check_continuity_of_base(elemData.dotEleLeft);
else if (elemData.dotEleRight.size2() != 0)
CHKERR check_continuity_of_base(elemData.dotEleRight);
}
}
};
int main(int argc, char *argv[]) {
// initialize petsc
MoFEM::Core::Initialize(&argc, &argv, (char *)0, help);
try {
// Create MoAB database
moab::Core moab_core;
moab::Interface &moab = moab_core;
// Create MoFEM database and link it to MoAB
MoFEM::Core mofem_core(moab);
MoFEM::Interface &m_field = mofem_core;
// Register DM Manager
DMType dm_name = "DMMOFEM";
// Simple interface
Simple *simple_interface;
CHKERR m_field.getInterface(simple_interface);
{
// get options from command line
CHKERR simple_interface->getOptions();
// load mesh file
CHKERR simple_interface->loadFile("");
auto get_base = []() -> FieldApproximationBase {
enum bases { AINSWORTH, DEMKOWICZ, LASTBASEOP };
const char *list_bases[] = {"ainsworth", "demkowicz"};
PetscBool flg;
PetscInt choice_base_value = AINSWORTH;
CHKERR PetscOptionsGetEList(PETSC_NULL, NULL, "-base", list_bases,
LASTBASEOP, &choice_base_value, &flg);
if (flg == PETSC_TRUE) {
if (choice_base_value == AINSWORTH)
else if (choice_base_value == DEMKOWICZ)
return base;
}
return LASTBASE;
};
// add fields
auto base = get_base();
CHKERR simple_interface->addDomainField("FIELD", HCURL, base, 1);
CHKERR simple_interface->addSkeletonField("FIELD", HCURL, base, 1);
// set fields order
CHKERR simple_interface->setFieldOrder("FIELD", 2);
// setup problem
CHKERR simple_interface->setUp();
// get dm
auto dm = simple_interface->getDM();
// create elements
CommonData elem_data;
boost::shared_ptr<EdgeEle> skeleton_fe =
boost::shared_ptr<EdgeEle>(new EdgeEle(m_field));
skeleton_fe->getOpPtrVector().push_back(
new SkeletonFE(m_field, elem_data));
// iterate skeleton finite elements
skeleton_fe);
}
}
// finish work cleaning memory, getting statistics, etc.
return 0;
}