v0.14.0
hcurl_check_approx_in_2d.cpp

Approximate polynomial in 2D and check derivatives

/**
* \file hcurl_check_approx_in_2d
* \example hcurl_check_approx_in_2d.cpp
*
* Approximate polynomial in 2D and check derivatives
*
*/
#include <MoFEM.hpp>
using namespace MoFEM;
static char help[] = "...\n\n";
constexpr int BASE_DIM = 3;
constexpr int SPACE_DIM = 2;
/**
* @brief OPerator to integrate mass matrix for least square approximation
*
*/
/**
* @brief Operator to integrate the right hand side matrix for the problem
*
*/
GAUSS>::OpSource<BASE_DIM, BASE_DIM>;
constexpr double a0 = 0.0;
constexpr double a1 = 2.0;
constexpr double a2 = -15.0 * a0;
constexpr double a3 = -20.0 / 6 * a1;
constexpr double a4 = 15.0 * a0;
constexpr double a5 = a1;
constexpr double a6 = -a0;
static FTensor::Tensor1<double, BASE_DIM> fUn(const double x, const double y,
double z) {
// x
6 * a6 * std::pow(x, 5) * std::pow(y, 0) +
5 * a5 * std::pow(x, 4) * std::pow(y, 1) +
4 * a4 * std::pow(x, 3) * std::pow(y, 2) +
3 * a3 * std::pow(x, 2) * std::pow(y, 3) +
2 * a2 * std::pow(x, 1) * std::pow(y, 4) +
1 * a1 * std::pow(x, 0) * std::pow(y, 5),
// y
1 * a5 * std::pow(x, 5) * std::pow(y, 0) +
2 * a4 * std::pow(x, 4) * std::pow(y, 1) +
3 * a3 * std::pow(x, 3) * std::pow(y, 2) +
4 * a2 * std::pow(x, 2) * std::pow(y, 3) +
5 * a1 * std::pow(x, 1) * std::pow(y, 4) +
6 * a0 * std::pow(x, 0) * std::pow(y, 5),
// z
0.);
}
static FTensor::Tensor2<double, BASE_DIM, SPACE_DIM> diffFun(const double x,
const double y) {
// x,x
30 * a6 * pow(x, 4) * pow(y, 0) + 20 * a5 * pow(x, 3) * pow(y, 1) +
12 * a4 * pow(x, 2) * pow(y, 2) + 6 * a3 * pow(x, 1) * pow(y, 3) +
2 * a2 * pow(x, 0) * pow(y, 4),
// x,y
5 * a5 * pow(x, 4) * pow(y, 0) + 8 * a4 * pow(x, 3) * pow(y, 1) +
9 * a3 * pow(x, 2) * pow(y, 2) + 8 * a2 * pow(x, 1) * pow(y, 3) +
5 * a1 * pow(x, 0) * pow(y, 4),
// y,x
5 * a5 * pow(x, 4) * pow(y, 0) + 8 * a4 * pow(x, 3) * pow(y, 1) +
9 * a3 * pow(x, 2) * pow(y, 2) + 8 * a2 * pow(x, 1) * pow(y, 3) +
5 * a1 * pow(x, 0) * pow(y, 4),
// y,y
2 * a4 * pow(x, 4) * pow(y, 0) + 6 * a3 * pow(x, 3) * pow(y, 1) +
12 * a2 * pow(x, 2) * pow(y, 2) + 20 * a1 * pow(x, 1) * pow(y, 3) +
30 * a0 * pow(x, 0) * pow(y, 4),
// z
0., 0.);
}
diff2Fun(const double x, const double y) {
// x,xx 0/000
30 * 4 * a6 * pow(x, 3) * pow(y, 0) +
20 * 3 * a5 * pow(x, 2) * pow(y, 1) +
12 * 2 * a4 * pow(x, 1) * pow(y, 2) +
6 * 1 * a3 * pow(x, 0) * pow(y, 3),
// x,xy 1/001
20 * 1 * a5 * pow(x, 3) * pow(y, 0) +
12 * 2 * a4 * pow(x, 2) * pow(y, 2) +
6 * 3 * a3 * pow(x, 1) * pow(y, 2) +
2 * 4 * a2 * pow(x, 0) * pow(y, 3),
// x,yx 2/010
5 * 4 * a5 * pow(x, 3) * pow(y, 0) +
8 * 3 * a4 * pow(x, 2) * pow(y, 1) +
9 * 2 * a3 * pow(x, 1) * pow(y, 2) +
8 * 1 * a2 * pow(x, 0) * pow(y, 3),
// x,yy 3/011
8 * 1 * a4 * pow(x, 3) * pow(y, 0) +
9 * 2 * a3 * pow(x, 2) * pow(y, 1) +
8 * 3 * a2 * pow(x, 1) * pow(y, 2) +
5 * 4 * a1 * pow(x, 0) * pow(y, 3),
// y,xx 4/100
5 * 4 * a5 * pow(x, 3) * pow(y, 0) +
8 * 3 * a4 * pow(x, 2) * pow(y, 1) +
9 * 2 * a3 * pow(x, 1) * pow(y, 2) +
8 * 1 * a2 * pow(x, 0) * pow(y, 3),
// y,xy 5/101
8 * 1 * a4 * pow(x, 3) * pow(y, 0) +
9 * 2 * a3 * pow(x, 2) * pow(y, 1) +
8 * 3 * a2 * pow(x, 1) * pow(y, 2) +
5 * 4 * a1 * pow(x, 0) * pow(y, 3),
// y,yx 6/110
2 * 4 * a4 * pow(x, 3) * pow(y, 0) +
6 * 3 * a3 * pow(x, 2) * pow(y, 1) +
12 * 2 * a2 * pow(x, 1) * pow(y, 2) +
20 * 1 * a1 * pow(x, 0) * pow(y, 3),
// y,yy 7/111
6 * 1 * a3 * pow(x, 3) * pow(y, 0) +
12 * 2 * a2 * pow(x, 2) * pow(y, 1) +
20 * 3 * a1 * pow(x, 1) * pow(y, 2) +
30 * 4 * a0 * pow(x, 0) * pow(y, 3),
// z,xx 8/200
0.,
// z,xy 9/201
0.,
// z,yx 10/210
0.,
// z,yy 11/211
0.);
}
};
struct OpCheckValsDiffVals : public FaceEleOp {
boost::shared_ptr<MatrixDouble> ptrVals;
boost::shared_ptr<VectorDouble> ptrDiv;
boost::shared_ptr<MatrixDouble> ptrGrad;
boost::shared_ptr<MatrixDouble> ptrHess;
OpCheckValsDiffVals(boost::shared_ptr<MatrixDouble> ptr_vals,
boost::shared_ptr<VectorDouble> ptr_div,
boost::shared_ptr<MatrixDouble> ptr_grad,
boost::shared_ptr<MatrixDouble> ptr_hess)
: FaceEleOp("FIELD1", OPROW), ptrVals(ptr_vals), ptrDiv(ptr_div),
ptrGrad(ptr_grad), ptrHess(ptr_hess) {}
MoFEMErrorCode doWork(int side, EntityType type,
const double eps = 1e-6;
if (type == MBEDGE && side == 0) {
const int nb_gauss_pts = data.getN().size1();
auto t_vals_from_op = getFTensor1FromMat<3>(*ptrVals);
auto t_div_from_op = getFTensor0FromVec(*ptrDiv);
auto t_grad_from_op = getFTensor2FromMat<3, 2>(*ptrGrad);
auto t_hess_from_op = getFTensor3FromMat<3, 2, 2>(*ptrHess);
for (int gg = 0; gg != nb_gauss_pts; gg++) {
const double x = getCoordsAtGaussPts()(gg, 0);
const double y = getCoordsAtGaussPts()(gg, 1);
// Check approximation
delta_val(i) = t_vals_from_op(i) - ApproxFunctions::fUn(x, y, 0)(i);
double err_val = sqrt(delta_val(i) * delta_val(i));
if (err_val > eps)
SETERRQ1(PETSC_COMM_SELF, MOFEM_ATOM_TEST_INVALID,
"Wrong value %4.3e", err_val);
delta_diff_val(i, j) =
t_grad_from_op(i, j) - ApproxFunctions::diffFun(x, y)(i, j);
double err_diff_val = sqrt(delta_diff_val(i, j) * delta_diff_val(i, j));
if (err_diff_val > eps)
SETERRQ1(PETSC_COMM_SELF, MOFEM_ATOM_TEST_INVALID,
"Wrong derivative of value %4.3e", err_diff_val);
double div = t_grad_from_op(0, 0) + t_grad_from_op(1, 1);
double err_div = div - t_div_from_op;
if (err_div > eps)
SETERRQ3(PETSC_COMM_SELF, MOFEM_ATOM_TEST_INVALID,
"Wrong divergence from operator %4.3e (%4.3e != %4.3e)",
err_div, div, t_div_from_op);
delta_diff2_val(i, j, k) =
t_hess_from_op(i, j, k) - ApproxFunctions::diff2Fun(x, y)(i, j, k);
double hess_diff_error =
sqrt(delta_diff2_val(i, j, k) * delta_diff2_val(i, j, k));
if (hess_diff_error > eps)
SETERRQ1(PETSC_COMM_SELF, MOFEM_ATOM_TEST_INVALID,
"Wrong hessian from operator %4.3e", hess_diff_error);
++t_vals_from_op;
++t_div_from_op;
++t_grad_from_op;
++t_hess_from_op;
}
}
}
};
int main(int argc, char *argv[]) {
MoFEM::Core::Initialize(&argc, &argv, (char *)0, help);
try {
DMType dm_name = "DMMOFEM";
moab::Core mb_instance;
moab::Interface &moab = mb_instance;
// Create MoFEM instance
MoFEM::Core core(moab);
MoFEM::Interface &m_field = core;
Simple *simple_interface = m_field.getInterface<Simple>();
PipelineManager *pipeline_mng = m_field.getInterface<PipelineManager>();
CHKERR simple_interface->getOptions();
CHKERR simple_interface->loadFile("", "rectangle_tri.h5m");
// Declare elements
enum bases { AINSWORTH, DEMKOWICZ, LASBASETOP };
const char *list_bases[] = {"ainsworth", "demkowicz"};
PetscBool flg;
PetscInt choice_base_value = AINSWORTH;
CHKERR PetscOptionsGetEList(PETSC_NULL, NULL, "-base", list_bases,
LASBASETOP, &choice_base_value, &flg);
if (flg != PETSC_TRUE)
SETERRQ(PETSC_COMM_SELF, MOFEM_IMPOSSIBLE_CASE, "base not set");
if (choice_base_value == AINSWORTH)
else if (choice_base_value == DEMKOWICZ)
CHKERR simple_interface->addDomainField("FIELD1", HCURL, base, 1);
constexpr int order = 5;
CHKERR simple_interface->setFieldOrder("FIELD1", order);
CHKERR simple_interface->setUp();
auto dm = simple_interface->getDM();
MatrixDouble vals, diff_vals;
auto assemble_matrices_and_vectors = [&]() {
auto jac_ptr = boost::make_shared<MatrixDouble>();
auto inv_jac_ptr = boost::make_shared<MatrixDouble>();
auto det_ptr = boost::make_shared<VectorDouble>();
pipeline_mng->getOpDomainRhsPipeline().push_back(
pipeline_mng->getOpDomainRhsPipeline().push_back(
new OpInvertMatrix<SPACE_DIM>(jac_ptr, det_ptr, inv_jac_ptr));
pipeline_mng->getOpDomainRhsPipeline().push_back(
pipeline_mng->getOpDomainRhsPipeline().push_back(
pipeline_mng->getOpDomainRhsPipeline().push_back(
pipeline_mng->getOpDomainLhsPipeline().push_back(
pipeline_mng->getOpDomainLhsPipeline().push_back(
new OpInvertMatrix<SPACE_DIM>(jac_ptr, det_ptr, inv_jac_ptr));
pipeline_mng->getOpDomainLhsPipeline().push_back(
pipeline_mng->getOpDomainLhsPipeline().push_back(
pipeline_mng->getOpDomainLhsPipeline().push_back(
new OpDomainMass("FIELD1", "FIELD1",
[](double, double, double) { return 1; })
);
auto integration_rule = [](int, int, int p_data) { return 2 * p_data; };
CHKERR pipeline_mng->setDomainRhsIntegrationRule(integration_rule);
CHKERR pipeline_mng->setDomainLhsIntegrationRule(integration_rule);
};
auto solve_problem = [&] {
auto solver = pipeline_mng->createKSP();
CHKERR KSPSetFromOptions(solver);
CHKERR KSPSetUp(solver);
auto D = createDMVector(dm);
auto F = vectorDuplicate(D);
CHKERR KSPSolve(solver, F, D);
CHKERR VecGhostUpdateBegin(D, INSERT_VALUES, SCATTER_FORWARD);
CHKERR VecGhostUpdateEnd(D, INSERT_VALUES, SCATTER_FORWARD);
CHKERR DMoFEMMeshToLocalVector(dm, D, INSERT_VALUES, SCATTER_REVERSE);
};
auto check_solution = [&] {
pipeline_mng->getOpDomainLhsPipeline().clear();
pipeline_mng->getOpDomainRhsPipeline().clear();
auto ptr_values = boost::make_shared<MatrixDouble>();
auto ptr_divergence = boost::make_shared<VectorDouble>();
auto ptr_grad = boost::make_shared<MatrixDouble>();
auto ptr_hessian = boost::make_shared<MatrixDouble>();
auto jac_ptr = boost::make_shared<MatrixDouble>();
auto inv_jac_ptr = boost::make_shared<MatrixDouble>();
auto det_ptr = boost::make_shared<VectorDouble>();
// Change H-curl to H-div in 2D, and apply Piola transform
pipeline_mng->getOpDomainRhsPipeline().push_back(
pipeline_mng->getOpDomainRhsPipeline().push_back(
new OpInvertMatrix<SPACE_DIM>(jac_ptr, det_ptr, inv_jac_ptr));
pipeline_mng->getOpDomainRhsPipeline().push_back(
pipeline_mng->getOpDomainRhsPipeline().push_back(
pipeline_mng->getOpDomainRhsPipeline().push_back(
new OpSetInvJacHcurlFace(inv_jac_ptr));
// Evaluate base function second derivative
auto base_mass = boost::make_shared<MatrixDouble>();
auto data_l2 = boost::make_shared<EntitiesFieldData>(MBENTITYSET);
pipeline_mng->getOpDomainRhsPipeline().push_back(
new OpBaseDerivativesMass<BASE_DIM>(base_mass, data_l2, base, L2));
pipeline_mng->getOpDomainRhsPipeline().push_back(
inv_jac_ptr));
pipeline_mng->getOpDomainRhsPipeline().push_back(
new OpBaseDerivativesNext<BASE_DIM>(BaseDerivatives::SecondDerivative,
base_mass, data_l2, base, HCURL));
// Calculate field values at integration points
pipeline_mng->getOpDomainRhsPipeline().push_back(
new OpCalculateHVecVectorField<BASE_DIM>("FIELD1", ptr_values));
// Gradient
pipeline_mng->getOpDomainRhsPipeline().push_back(
ptr_grad));
// Hessian
pipeline_mng->getOpDomainRhsPipeline().push_back(
"FIELD1", ptr_divergence));
pipeline_mng->getOpDomainRhsPipeline().push_back(
ptr_hessian));
pipeline_mng->getOpDomainRhsPipeline().push_back(new OpCheckValsDiffVals(
ptr_values, ptr_divergence, ptr_grad, ptr_hessian));
CHKERR pipeline_mng->loopFiniteElements();
};
CHKERR assemble_matrices_and_vectors();
CHKERR solve_problem();
CHKERR check_solution();
}
}
MoFEM::UnknownInterface::getInterface
MoFEMErrorCode getInterface(IFACE *&iface) const
Get interface reference to pointer of interface.
Definition: UnknownInterface.hpp:93
a2
constexpr double a2
Definition: hcurl_check_approx_in_2d.cpp:39
MoFEM::EntitiesFieldData::EntData
Data on single entity (This is passed as argument to DataOperator::doWork)
Definition: EntitiesFieldData.hpp:127
ApproxFunctions
Definition: hcurl_check_approx_in_2d.cpp:44
MoFEM::CoreTmp< 0 >
Core (interface) class.
Definition: Core.hpp:82
MoFEM::OpSetInvJacHcurlFace
OpSetInvJacHcurlFaceImpl< 2 > OpSetInvJacHcurlFace
Definition: UserDataOperators.hpp:2982
a3
constexpr double a3
Definition: hcurl_check_approx_in_2d.cpp:40
FTensor::Tensor1
Definition: Tensor1_value.hpp:8
MoFEM::OpSetContravariantPiolaTransformOnFace2D
OpSetContravariantPiolaTransformOnFace2DImpl< 2 > OpSetContravariantPiolaTransformOnFace2D
Definition: UserDataOperators.hpp:3080
L2
@ L2
field with C-1 continuity
Definition: definitions.h:88
MoFEM::Exceptions::MoFEMErrorCode
PetscErrorCode MoFEMErrorCode
MoFEM/PETSc error code.
Definition: Exceptions.hpp:56
MoFEM::Types::MatrixDouble
UBlasMatrix< double > MatrixDouble
Definition: Types.hpp:77
ApproxFunctions::diff2Fun
static FTensor::Tensor3< double, BASE_DIM, SPACE_DIM, SPACE_DIM > diff2Fun(const double x, const double y)
Definition: hcurl_check_approx_in_2d.cpp:92
MoFEM::Simple::loadFile
MoFEMErrorCode loadFile(const std::string options, const std::string mesh_file_name, LoadFileFunc loadFunc=defaultLoadFileFunc)
Load mesh file.
Definition: Simple.cpp:194
MoFEM::PETSC
@ PETSC
Definition: FormsIntegrators.hpp:105
MoFEM::PipelineManager
PipelineManager interface.
Definition: PipelineManager.hpp:24
MoFEM.hpp
MoFEM::DMoFEMMeshToLocalVector
PetscErrorCode DMoFEMMeshToLocalVector(DM dm, Vec l, InsertMode mode, ScatterMode scatter_mode)
set local (or ghosted) vector values on mesh for partition only
Definition: DMMoFEM.cpp:523
MoFEM::OpBaseDerivativesNext
Definition: BaseDerivativesDataOperators.hpp:67
MoFEM::CoreTmp< 0 >::Finalize
static MoFEMErrorCode Finalize()
Checks for options to be called at the conclusion of the program.
Definition: Core.cpp:112
ApproxFunctions::fUn
static FTensor::Tensor1< double, BASE_DIM > fUn(const double x, const double y, double z)
Definition: hcurl_check_approx_in_2d.cpp:46
MoFEM::Simple
Simple interface for fast problem set-up.
Definition: Simple.hpp:27
MOFEM_IMPOSSIBLE_CASE
@ MOFEM_IMPOSSIBLE_CASE
Definition: definitions.h:35
OpDomainMass
FormsIntegrators< DomainEleOp >::Assembly< PETSC >::BiLinearForm< GAUSS >::OpMass< 1, FIELD_DIM > OpDomainMass
Definition: child_and_parent.cpp:53
MoFEM::OpCalculateHVecVectorGradient
Calculate gradient of vector field.
Definition: UserDataOperators.hpp:2274
FTensor::Tensor2
Definition: Tensor2_value.hpp:16
order
constexpr int order
Definition: dg_projection.cpp:18
MoFEM::DeprecatedCoreInterface
Deprecated interface functions.
Definition: DeprecatedCoreInterface.hpp:16
MoFEM::OpCalculateHOJac
Definition: HODataOperators.hpp:267
MoFEM::Interface
DeprecatedCoreInterface Interface
Definition: Interface.hpp:1975
MoFEM::Simple::getOptions
MoFEMErrorCode getOptions()
get options
Definition: Simple.cpp:180
MoFEM::Simple::getDM
MoFEMErrorCode getDM(DM *dm)
Get DM.
Definition: Simple.cpp:667
CHKERR
#define CHKERR
Inline error check.
Definition: definitions.h:535
FTensor::Tensor3
Definition: Tensor3_value.hpp:12
MoFEM::OpBaseDerivativesMass
Definition: BaseDerivativesDataOperators.hpp:35
MoFEM::FaceElementForcesAndSourcesCore::UserDataOperator
friend class UserDataOperator
Definition: FaceElementForcesAndSourcesCore.hpp:86
MoFEM::createDMVector
auto createDMVector(DM dm)
Get smart vector from DM.
Definition: DMMoFEM.hpp:1067
MoFEM
implementation of Data Operators for Forces and Sources
Definition: Common.hpp:10
MoFEM::OpCalculateHVecVectorHessian
Calculate gradient of vector field.
Definition: UserDataOperators.hpp:2333
a1
constexpr double a1
Definition: hcurl_check_approx_in_2d.cpp:38
OpDomainMass
FormsIntegrators< FaceEleOp >::Assembly< PETSC >::BiLinearForm< GAUSS >::OpMass< BASE_DIM, BASE_DIM > OpDomainMass
OPerator to integrate mass matrix for least square approximation.
Definition: hcurl_check_approx_in_2d.cpp:28
SPACE_DIM
constexpr int SPACE_DIM
Definition: hcurl_check_approx_in_2d.cpp:21
OpMass
FormsIntegrators< DomainEleOp >::Assembly< PETSC >::BiLinearForm< GAUSS >::OpMass< 1, SPACE_DIM > OpMass
[Only used with Hooke equation (linear material model)]
Definition: seepage.cpp:57
MoFEM::FaceElementForcesAndSourcesCore::UserDataOperator
default operator for TRI element
Definition: FaceElementForcesAndSourcesCore.hpp:94
MoFEM::OpCalculateHVecVectorField
Get vector field for H-div approximation.
Definition: UserDataOperators.hpp:2116
convert.type
type
Definition: convert.py:64
MoFEM::FormsIntegrators::Assembly
Assembly methods.
Definition: FormsIntegrators.hpp:310
MoFEM::getFTensor0FromVec
static auto getFTensor0FromVec(ublas::vector< T, A > &data)
Get tensor rank 0 (scalar) form data vector.
Definition: Templates.hpp:135
MoFEM::Simple::addDomainField
MoFEMErrorCode addDomainField(const std::string &name, const FieldSpace space, const FieldApproximationBase base, const FieldCoefficientsNumber nb_of_coefficients, const TagType tag_type=MB_TAG_SPARSE, const enum MoFEMTypes bh=MF_ZERO, int verb=-1)
Add field on domain.
Definition: Simple.cpp:264
MoFEM::DMRegister_MoFEM
PetscErrorCode DMRegister_MoFEM(const char sname[])
Register MoFEM problem.
Definition: DMMoFEM.cpp:43
MoFEM::OpBaseDerivativesSetHOInvJacobian
Definition: BaseDerivativesDataOperators.hpp:49
MoFEM::GAUSS
@ GAUSS
Definition: FormsIntegrators.hpp:136
MoFEM::FaceElementForcesAndSourcesCore
Face finite element.
Definition: FaceElementForcesAndSourcesCore.hpp:23
help
static char help[]
Definition: hcurl_check_approx_in_2d.cpp:15
i
FTensor::Index< 'i', SPACE_DIM > i
Definition: hcurl_divergence_operator_2d.cpp:27
a4
constexpr double a4
Definition: hcurl_check_approx_in_2d.cpp:41
BiLinearForm
FTensor::Index< 'i', 3 >
MoFEM::Simple::setFieldOrder
MoFEMErrorCode setFieldOrder(const std::string field_name, const int order, const Range *ents=NULL)
Set field order.
Definition: Simple.cpp:473
integration_rule
auto integration_rule
Definition: free_surface.cpp:185
MoFEM::CoreTmp< 0 >::Initialize
static MoFEMErrorCode Initialize(int *argc, char ***args, const char file[], const char help[])
Initializes the MoFEM database PETSc, MOAB and MPI.
Definition: Core.cpp:72
MoFEM::vectorDuplicate
SmartPetscObj< Vec > vectorDuplicate(Vec vec)
Create duplicate vector of smart vector.
Definition: PetscSmartObj.hpp:221
CATCH_ERRORS
#define CATCH_ERRORS
Catch errors.
Definition: definitions.h:372
DEMKOWICZ_JACOBI_BASE
@ DEMKOWICZ_JACOBI_BASE
Definition: definitions.h:66
OpDomainSource
FormsIntegrators< FaceEleOp >::Assembly< PETSC >::LinearForm< GAUSS >::OpSource< BASE_DIM, BASE_DIM > OpDomainSource
Operator to integrate the right hand side matrix for the problem.
Definition: hcurl_check_approx_in_2d.cpp:35
MoFEM::EntitiesFieldData::EntData::getN
MatrixDouble & getN(const FieldApproximationBase base)
get base functions this return matrix (nb. of rows is equal to nb. of Gauss pts, nb....
Definition: EntitiesFieldData.hpp:1305
MoFEM::Core
CoreTmp< 0 > Core
Definition: Core.hpp:1102
ApproxFunctions::diffFun
static FTensor::Tensor2< double, BASE_DIM, SPACE_DIM > diffFun(const double x, const double y)
Definition: hcurl_check_approx_in_2d.cpp:68
j
FTensor::Index< 'j', 3 > j
Definition: matrix_function.cpp:19
eps
static const double eps
Definition: check_base_functions_derivatives_on_tet.cpp:11
AINSWORTH_LEGENDRE_BASE
@ AINSWORTH_LEGENDRE_BASE
Ainsworth Cole (Legendre) approx. base .
Definition: definitions.h:60
main
int main(int argc, char *argv[])
Definition: hcurl_check_approx_in_2d.cpp:236
HCURL
@ HCURL
field with continuous tangents
Definition: definitions.h:86
MoFEM::PetscOptionsGetEList
PetscErrorCode PetscOptionsGetEList(PetscOptions *, const char pre[], const char name[], const char *const *list, PetscInt next, PetscInt *value, PetscBool *set)
Definition: DeprecatedPetsc.hpp:203
MoFEM::OpCalculateHdivVectorDivergence
Calculate divergence of vector field.
Definition: UserDataOperators.hpp:2215
MoFEM::OpInvertMatrix
Definition: UserDataOperators.hpp:3254
FieldApproximationBase
FieldApproximationBase
approximation base
Definition: definitions.h:58
a6
constexpr double a6
Definition: hcurl_check_approx_in_2d.cpp:43
a0
constexpr double a0
Definition: hcurl_check_approx_in_2d.cpp:37
ReactionDiffusionEquation::D
const double D
diffusivity
Definition: reaction_diffusion.cpp:20
OpCheckValsDiffVals
Definition: hcurl_check_approx_in_2d.cpp:161
MOFEM_ATOM_TEST_INVALID
@ MOFEM_ATOM_TEST_INVALID
Definition: definitions.h:40
MoFEM::OpMakeHdivFromHcurl
Make Hdiv space from Hcurl space in 2d.
Definition: UserDataOperators.hpp:2989
OpDomainSource
FormsIntegrators< DomainEleOp >::Assembly< PETSC >::LinearForm< GAUSS >::OpSource< 1, FIELD_DIM > OpDomainSource
Definition: child_and_parent.cpp:55
MoFEM::Simple::setUp
MoFEMErrorCode setUp(const PetscBool is_partitioned=PETSC_TRUE)
Setup problem.
Definition: Simple.cpp:611
BASE_DIM
constexpr int BASE_DIM
Definition: hcurl_check_approx_in_2d.cpp:20
k
FTensor::Index< 'k', 3 > k
Definition: matrix_function.cpp:20
convert.int
int
Definition: convert.py:64
MoFEMFunctionReturn
#define MoFEMFunctionReturn(a)
Last executable line of each PETSc function used for error handling. Replaces return()
Definition: definitions.h:416
MoFEMFunctionBegin
#define MoFEMFunctionBegin
First executable line of each MoFEM function, used for error handling. Final line of MoFEM functions ...
Definition: definitions.h:346
F
@ F
Definition: free_surface.cpp:394
a5
constexpr double a5
Definition: hcurl_check_approx_in_2d.cpp:42