v0.14.0
prism_polynomial_approximation.cpp

Checking approximation functions on prism

/** \file prism_polynomial_approximation.cpp
\example prism_polynomial_approximation.cpp
\brief Checking approximation functions on prism
*/
#include <MoFEM.hpp>
using namespace MoFEM;
static char help[] = "...\n\n";
static constexpr int approx_order = 6;
struct ApproxFunction {
static inline double fun(double x, double y, double z) {
double r = 1;
for (int o = 1; o <= approx_order; ++o) {
for (int i = 0; i <= o; ++i) {
for (int j = 0; j <= (o - i); ++j) {
int k = o - i - j;
if (k >= 0) {
r += pow(x, i) * pow(y, j) * pow(z, k);
}
}
}
}
return r;
}
static inline VectorDouble3 diff_fun(double x, double y, double z) {
VectorDouble3 r(3);
r.clear();
for (int o = 1; o <= approx_order; ++o) {
for (int i = 0; i <= o; ++i) {
for (int j = 0; j <= (o - i); ++j) {
int k = o - i - j;
if (k >= 0) {
r[0] += i > 0 ? i * pow(x, i - 1) * pow(y, j) * pow(z, k) : 0;
r[1] += j > 0 ? j * pow(x, i) * pow(y, j - 1) * pow(z, k) : 0;
r[2] += k > 0 ? k * pow(x, i) * pow(y, j) * pow(z, k - 1) : 0;
}
}
}
}
return r;
}
};
struct PrismOpCheck
: public FatPrismElementForcesAndSourcesCore::UserDataOperator {
PrismOpCheck(boost::shared_ptr<VectorDouble> &field_vals,
boost::shared_ptr<MatrixDouble> &diff_field_vals);
MoFEMErrorCode doWork(int side, EntityType type,
EntitiesFieldData::EntData &data);
private:
boost::shared_ptr<VectorDouble> fieldVals;
boost::shared_ptr<MatrixDouble> diffFieldVals;
};
struct PrismOpRhs
: public FatPrismElementForcesAndSourcesCore::UserDataOperator {
PrismOpRhs(SmartPetscObj<Vec> &f);
MoFEMErrorCode doWork(int side, EntityType type,
EntitiesFieldData::EntData &data);
private:
SmartPetscObj<Vec> F;
};
struct PrismOpLhs
: public FatPrismElementForcesAndSourcesCore::UserDataOperator {
PrismOpLhs(SmartPetscObj<Mat> &a);
MoFEMErrorCode doWork(int row_side, int col_side, EntityType row_type,
EntityType col_type,
EntitiesFieldData::EntData &row_data,
EntitiesFieldData::EntData &col_data);
private:
SmartPetscObj<Mat> A;
};
struct PrismFE : public FatPrismElementForcesAndSourcesCore {
using FatPrismElementForcesAndSourcesCore::
FatPrismElementForcesAndSourcesCore;
int getRuleTrianglesOnly(int order);
int getRuleThroughThickness(int order);
};
int main(int argc, char *argv[]) {
MoFEM::Core::Initialize(&argc, &argv, (char *)0, help);
try {
moab::Core mb_instance;
moab::Interface &moab = mb_instance;
ParallelComm *pcomm = ParallelComm::get_pcomm(&moab, MYPCOMM_INDEX);
auto moab_comm_wrap =
boost::make_shared<WrapMPIComm>(PETSC_COMM_WORLD, false);
if (pcomm == NULL)
pcomm = new ParallelComm(&moab, moab_comm_wrap->get_comm());
std::array<double, 18> one_prism_coords = {0, 0, 0, 1, 0, 0, 0, 1, 0,
0, 0, 1, 1, 0, 1, 0, 1, 1};
std::array<EntityHandle, 6> one_prism_nodes;
for (int n = 0; n != 6; ++n)
CHKERR moab.create_vertex(&one_prism_coords[3 * n], one_prism_nodes[n]);
EntityHandle one_prism;
CHKERR moab.create_element(MBPRISM, one_prism_nodes.data(), 6, one_prism);
Range one_prism_range;
one_prism_range.insert(one_prism);
Range one_prism_adj_ents;
for (int d = 1; d != 3; ++d)
CHKERR moab.get_adjacencies(one_prism_range, d, true, one_prism_adj_ents,
moab::Interface::UNION);
MoFEM::Core core(moab);
MoFEM::Interface &m_field = core;
PrismsFromSurfaceInterface *prisms_from_surface_interface;
CHKERR m_field.getInterface(prisms_from_surface_interface);
BitRefLevel bit_level0;
bit_level0.set(0);
CHKERR m_field.getInterface<BitRefManager>()->setEntitiesBitRefLevel(
one_prism_range, bit_level0);
CHKERR prisms_from_surface_interface->seedPrismsEntities(one_prism_range,
bit_level0);
// Fields
CHKERR m_field.add_field("FIELD1", H1, AINSWORTH_LEGENDRE_BASE, 1);
CHKERR m_field.add_ents_to_field_by_type(0, MBPRISM, "FIELD1");
CHKERR m_field.set_field_order(0, MBVERTEX, "FIELD1", 1);
CHKERR m_field.set_field_order(0, MBEDGE, "FIELD1", approx_order);
CHKERR m_field.set_field_order(0, MBTRI, "FIELD1", approx_order);
CHKERR m_field.set_field_order(0, MBQUAD, "FIELD1", approx_order);
CHKERR m_field.set_field_order(0, MBPRISM, "FIELD1", approx_order);
CHKERR m_field.build_fields();
// FE
CHKERR m_field.add_finite_element("PRISM");
// Define rows/cols and element data
CHKERR m_field.modify_finite_element_add_field_row("PRISM", "FIELD1");
CHKERR m_field.modify_finite_element_add_field_col("PRISM", "FIELD1");
CHKERR m_field.modify_finite_element_add_field_data("PRISM", "FIELD1");
CHKERR m_field.add_ents_to_finite_element_by_type(0, MBPRISM, "PRISM");
// build finite elemnts
CHKERR m_field.build_finite_elements();
// //build adjacencies
CHKERR m_field.build_adjacencies(bit_level0);
// Problem
CHKERR m_field.add_problem("TEST_PROBLEM");
// set finite elements for problem
CHKERR m_field.modify_problem_add_finite_element("TEST_PROBLEM", "PRISM");
// set refinement level for problem
CHKERR m_field.modify_problem_ref_level_add_bit("TEST_PROBLEM", bit_level0);
// build problem
ProblemsManager *prb_mng_ptr;
CHKERR m_field.getInterface(prb_mng_ptr);
CHKERR prb_mng_ptr->buildProblem("TEST_PROBLEM", true);
// partition
CHKERR prb_mng_ptr->partitionSimpleProblem("TEST_PROBLEM");
CHKERR prb_mng_ptr->partitionFiniteElements("TEST_PROBLEM");
// what are ghost nodes, see Petsc Manual
CHKERR prb_mng_ptr->partitionGhostDofs("TEST_PROBLEM");
// Create matrices
SmartPetscObj<Mat> A;
CHKERR m_field.getInterface<MatrixManager>()
->createMPIAIJWithArrays<PetscGlobalIdx_mi_tag>("TEST_PROBLEM", A);
SmartPetscObj<Vec> F;
CHKERR m_field.getInterface<VecManager>()->vecCreateGhost("TEST_PROBLEM",
ROW, F);
SmartPetscObj<Vec> D;
CHKERR m_field.getInterface<VecManager>()->vecCreateGhost("TEST_PROBLEM",
COL, D);
auto assemble_matrices_and_vectors = [&]() {
MoFEMFunctionBegin;
PrismFE fe(m_field);
MatrixDouble inv_jac;
fe.getOpPtrVector().push_back(
new OpMultiplyDeterminantOfJacobianAndWeightsForFatPrisms());
fe.getOpPtrVector().push_back(
new MoFEM::OpCalculateInvJacForFatPrism(inv_jac));
fe.getOpPtrVector().push_back(
new MoFEM::OpSetInvJacH1ForFatPrism(inv_jac));
fe.getOpPtrVector().push_back(new PrismOpRhs(F));
fe.getOpPtrVector().push_back(new PrismOpLhs(A));
CHKERR VecZeroEntries(F);
CHKERR MatZeroEntries(A);
CHKERR m_field.loop_finite_elements("TEST_PROBLEM", "PRISM", fe);
CHKERR VecAssemblyBegin(F);
CHKERR VecAssemblyEnd(F);
CHKERR MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY);
CHKERR MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY);
MoFEMFunctionReturn(0);
};
auto solve_problem = [&] {
MoFEMFunctionBegin;
auto solver = createKSP(PETSC_COMM_WORLD);
CHKERR KSPSetOperators(solver, A, A);
CHKERR KSPSetFromOptions(solver);
CHKERR KSPSetUp(solver);
CHKERR KSPSolve(solver, F, D);
CHKERR VecGhostUpdateBegin(D, INSERT_VALUES, SCATTER_FORWARD);
CHKERR VecGhostUpdateEnd(D, INSERT_VALUES, SCATTER_FORWARD);
CHKERR m_field.getInterface<VecManager>()->setLocalGhostVector(
"TEST_PROBLEM", COL, D, INSERT_VALUES, SCATTER_REVERSE);
MoFEMFunctionReturn(0);
};
auto check_solution = [&] {
MoFEMFunctionBegin;
PrismFE fe(m_field);
boost::shared_ptr<VectorDouble> field_vals_ptr(new VectorDouble());
boost::shared_ptr<MatrixDouble> diff_field_vals_ptr(new MatrixDouble());
MatrixDouble inv_jac;
fe.getOpPtrVector().push_back(
new OpCalculateInvJacForFatPrism(inv_jac));
fe.getOpPtrVector().push_back(
new OpSetInvJacH1ForFatPrism(inv_jac));
fe.getOpPtrVector().push_back(
new OpCalculateScalarFieldValues("FIELD1", field_vals_ptr));
fe.getOpPtrVector().push_back(
new OpCalculateScalarFieldGradient<3>("FIELD1", diff_field_vals_ptr));
fe.getOpPtrVector().push_back(
new PrismOpCheck(field_vals_ptr, diff_field_vals_ptr));
CHKERR m_field.loop_finite_elements("TEST_PROBLEM", "PRISM", fe);
MoFEMFunctionReturn(0);
};
CHKERR assemble_matrices_and_vectors();
CHKERR solve_problem();
CHKERR check_solution();
}
CATCH_ERRORS;
MoFEM::Core::Finalize();
return 0;
}
PrismOpCheck::PrismOpCheck(boost::shared_ptr<VectorDouble> &field_vals,
boost::shared_ptr<MatrixDouble> &diff_field_vals)
: FatPrismElementForcesAndSourcesCore::UserDataOperator(
"FIELD1", "FIELD1", ForcesAndSourcesCore::UserDataOperator::OPROW),
fieldVals(field_vals), diffFieldVals(diff_field_vals) {}
MoFEMErrorCode PrismOpCheck::doWork(int side, EntityType type,
EntitiesFieldData::EntData &data) {
MoFEMFunctionBegin;
if (type == MBVERTEX) {
const int nb_gauss_pts = data.getN().size2();
auto t_coords = getFTensor1CoordsAtGaussPts();
for (int gg = 0; gg != nb_gauss_pts; ++gg) {
double f = ApproxFunction::fun(t_coords(0), t_coords(1), t_coords(2));
VectorDouble3 diff_f =
ApproxFunction::diff_fun(t_coords(0), t_coords(1), t_coords(2));
std::cout << f - (*fieldVals)[gg] << " : ";
for (auto d : {0, 1, 2})
std::cout << diff_f[d] - (*diffFieldVals)(d, gg) << " ";
std::cout << std::endl;
constexpr double eps = 1e-6;
if (std::abs(f - (*fieldVals)[gg]) > eps ||
!std::isnormal((*fieldVals)[gg]))
SETERRQ3(PETSC_COMM_SELF, MOFEM_ATOM_TEST_INVALID,
"Wrong value %6.4e != %6.4e (%6.4e)", f, (*fieldVals)[gg],
f - (*fieldVals)[gg]);
for (auto d : {0, 1, 2})
if (std::abs(diff_f[d] - (*diffFieldVals)(d, gg)) > eps ||
!std::isnormal((*diffFieldVals)(d, gg)))
SETERRQ3(PETSC_COMM_SELF, MOFEM_ATOM_TEST_INVALID,
"Wrong diff value %6.4e != %6.4e (%6.4e)", diff_f[d],
(*diffFieldVals)(d, gg),
diff_f[d] - (*diffFieldVals)(d, gg));
++t_coords;
}
}
MoFEMFunctionReturn(0);
}
PrismOpRhs::PrismOpRhs(SmartPetscObj<Vec> &f)
: FatPrismElementForcesAndSourcesCore::UserDataOperator(
"FIELD1", "FIELD1", ForcesAndSourcesCore::UserDataOperator::OPROW),
F(f) {}
MoFEMErrorCode PrismOpRhs::doWork(int side, EntityType type,
EntitiesFieldData::EntData &data) {
MoFEMFunctionBegin;
const int nb_dofs = data.getN().size2();
if (nb_dofs) {
const int nb_gauss_pts = data.getN().size1();
VectorDouble nf(nb_dofs);
nf.clear();
auto t_base = data.getFTensor0N();
auto t_coords = getFTensor1CoordsAtGaussPts();
auto t_w = getFTensor0IntegrationWeight();
double vol = getVolume();
for (int gg = 0; gg != nb_gauss_pts; ++gg) {
double f = ApproxFunction::fun(t_coords(0), t_coords(1), t_coords(2));
double v = t_w * vol * f;
double *val = &*nf.begin();
for (int bb = 0; bb != nb_dofs; ++bb) {
*val += v * t_base;
++t_base;
++val;
}
++t_coords;
++t_w;
}
CHKERR VecSetValues(F, data, &*nf.data().begin(), ADD_VALUES);
}
MoFEMFunctionReturn(0);
}
PrismOpLhs::PrismOpLhs(SmartPetscObj<Mat> &a)
: FatPrismElementForcesAndSourcesCore::UserDataOperator(
"FIELD1", "FIELD1", ForcesAndSourcesCore::UserDataOperator::OPROWCOL),
A(a) {
// FIXME: Can be symmetric, is not for simplicity
sYmm = false;
}
MoFEMErrorCode PrismOpLhs::doWork(int row_side, int col_side,
EntityType row_type, EntityType col_type,
EntitiesFieldData::EntData &row_data,
EntitiesFieldData::EntData &col_data) {
MoFEMFunctionBegin;
const int row_nb_dofs = row_data.getN().size2();
const int col_nb_dofs = col_data.getN().size2();
if (row_nb_dofs && col_nb_dofs) {
const int nb_gauss_pts = row_data.getN().size1();
MatrixDouble m(row_nb_dofs, col_nb_dofs);
m.clear();
auto t_w = getFTensor0IntegrationWeight();
double vol = getVolume();
double *row_base_ptr = &*row_data.getN().data().begin();
double *col_base_ptr = &*col_data.getN().data().begin();
for (int gg = 0; gg != nb_gauss_pts; ++gg) {
double v = t_w * vol;
cblas_dger(CblasRowMajor, row_nb_dofs, col_nb_dofs, v, row_base_ptr, 1,
col_base_ptr, 1, &*m.data().begin(), col_nb_dofs);
row_base_ptr += row_nb_dofs;
col_base_ptr += col_nb_dofs;
++t_w;
}
CHKERR MatSetValues(A, row_data, col_data, &*m.data().begin(), ADD_VALUES);
}
MoFEMFunctionReturn(0);
}
int PrismFE::getRuleTrianglesOnly(int order) { return 2 * (order + 1); };
int PrismFE::getRuleThroughThickness(int order) { return 2 * (order + 1); };
MoFEM::UnknownInterface::getInterface
MoFEMErrorCode getInterface(IFACE *&iface) const
Get interface reference to pointer of interface.
Definition: UnknownInterface.hpp:93
PrismOpCheck::doWork
MoFEMErrorCode doWork(int side, EntityType type, EntitiesFieldData::EntData &data)
Operator for linear form, usually to calculate values on right hand side.
Definition: prism_polynomial_approximation.cpp:263
PrismOpLhs::doWork
MoFEMErrorCode doWork(int row_side, int col_side, EntityType row_type, EntityType col_type, EntitiesFieldData::EntData &row_data, EntitiesFieldData::EntData &col_data)
Operator for bi-linear form, usually to calculate values on left hand side.
Definition: prism_polynomial_approximation.cpp:342
MoFEM::EntitiesFieldData::EntData
Data on single entity (This is passed as argument to DataOperator::doWork)
Definition: EntitiesFieldData.hpp:128
PrismOpCheck::diffFieldVals
boost::shared_ptr< MatrixDouble > diffFieldVals
Definition: prism_polynomial_approximation.cpp:61
PrismOpRhs::PrismOpRhs
PrismOpRhs(SmartPetscObj< Vec > &f)
Definition: prism_polynomial_approximation.cpp:300
MoFEM::CoreInterface::loop_finite_elements
virtual MoFEMErrorCode loop_finite_elements(const std::string problem_name, const std::string &fe_name, FEMethod &method, boost::shared_ptr< NumeredEntFiniteElement_multiIndex > fe_ptr=nullptr, MoFEMTypes bh=MF_EXIST, CacheTupleWeakPtr cache_ptr=CacheTupleSharedPtr(), int verb=DEFAULT_VERBOSITY)=0
Make a loop over finite elements.
MoFEM::PrismsFromSurfaceInterface
merge node from two bit levels
Definition: PrismsFromSurfaceInterface.hpp:15
PrismOpLhs
Definition: prism_polynomial_approximation.cpp:75
MYPCOMM_INDEX
#define MYPCOMM_INDEX
default communicator number PCOMM
Definition: definitions.h:228
MoFEM::ProblemsManager::buildProblem
MoFEMErrorCode buildProblem(const std::string name, const bool square_matrix, int verb=VERBOSE)
build problem data structures
Definition: ProblemsManager.cpp:87
MoFEM::CoreTmp< 0 >
Core (interface) class.
Definition: Core.hpp:82
H1
@ H1
continuous field
Definition: definitions.h:85
MoFEM::MatSetValues
MoFEMErrorCode MatSetValues(Mat M, const EntitiesFieldData::EntData &row_data, const EntitiesFieldData::EntData &col_data, const double *ptr, InsertMode iora)
Assemble PETSc matrix.
Definition: EntitiesFieldData.hpp:1644
MoFEM::FatPrismElementForcesAndSourcesCore::UserDataOperator
default operator for Flat Prism element
Definition: FatPrismElementForcesAndSourcesCore.hpp:54
MoFEM::Types::VectorDouble3
VectorBoundedArray< double, 3 > VectorDouble3
Definition: Types.hpp:92
EntityHandle
MoFEM::ProblemsManager
Problem manager is used to build and partition problems.
Definition: ProblemsManager.hpp:21
PrismOpRhs
Definition: prism_polynomial_approximation.cpp:64
MoFEM::CoreInterface::modify_finite_element_add_field_row
virtual MoFEMErrorCode modify_finite_element_add_field_row(const std::string &fe_name, const std::string name_row)=0
set field row which finite element use
PrismFE::getRuleTrianglesOnly
int getRuleTrianglesOnly(int order)
Definition: prism_elements_from_surface.cpp:436
MoFEM::Exceptions::MoFEMErrorCode
PetscErrorCode MoFEMErrorCode
MoFEM/PETSc error code.
Definition: Exceptions.hpp:56
MoFEM::Types::MatrixDouble
UBlasMatrix< double > MatrixDouble
Definition: Types.hpp:77
MoFEM.hpp
A
constexpr AssemblyType A
Definition: operators_tests.cpp:30
PrismOpCheck::PrismOpCheck
PrismOpCheck(boost::shared_ptr< VectorDouble > &field_vals, boost::shared_ptr< MatrixDouble > &diff_field_vals)
Definition: prism_polynomial_approximation.cpp:257
MoFEM::CoreTmp< 0 >::Finalize
static MoFEMErrorCode Finalize()
Checks for options to be called at the conclusion of the program.
Definition: Core.cpp:112
MoFEM::VolumeElementForcesAndSourcesCore::UserDataOperator::getVolume
double getVolume() const
element volume (linear geometry)
Definition: VolumeElementForcesAndSourcesCore.hpp:161
MoFEM::createKSP
auto createKSP(MPI_Comm comm)
Definition: PetscSmartObj.hpp:261
PrismOpRhs::F
SmartPetscObj< Vec > F
Definition: prism_polynomial_approximation.cpp:72
MoFEM::VecSetValues
MoFEMErrorCode VecSetValues(Vec V, const EntitiesFieldData::EntData &data, const double *ptr, InsertMode iora)
Assemble PETSc vector.
Definition: EntitiesFieldData.hpp:1589
sdf.r
int r
Definition: sdf.py:8
MoFEM::CoreInterface::add_ents_to_field_by_type
virtual MoFEMErrorCode add_ents_to_field_by_type(const Range &ents, const EntityType type, const std::string &name, int verb=DEFAULT_VERBOSITY)=0
Add entities to field meshset.
order
constexpr int order
Definition: dg_projection.cpp:18
MoFEM::OpCalculateInvJacForFatPrism
Calculate inverse of jacobian for face element.
Definition: UserDataOperators.hpp:3145
MoFEM::ForcesAndSourcesCore::UserDataOperator::getFTensor0IntegrationWeight
auto getFTensor0IntegrationWeight()
Get integration weights.
Definition: ForcesAndSourcesCore.hpp:1240
MoFEM::DeprecatedCoreInterface
Deprecated interface functions.
Definition: DeprecatedCoreInterface.hpp:16
MoFEM::OpCalculateScalarFieldGradient
Get field gradients at integration pts for scalar filed rank 0, i.e. vector field.
Definition: UserDataOperators.hpp:1293
ROW
@ ROW
Definition: definitions.h:136
MoFEM::Interface
DeprecatedCoreInterface Interface
Definition: Interface.hpp:2010
MoFEM::EntitiesFieldData::EntData::getFTensor0N
FTensor::Tensor0< FTensor::PackPtr< double *, 1 > > getFTensor0N(const FieldApproximationBase base)
Get base function as Tensor0.
Definition: EntitiesFieldData.hpp:1502
MoFEM::CoreInterface::add_ents_to_finite_element_by_type
virtual MoFEMErrorCode add_ents_to_finite_element_by_type(const EntityHandle entities, const EntityType type, const std::string &name, const bool recursive=true)=0
add entities to finite element
MoFEM::FatPrismElementForcesAndSourcesCore::FatPrismElementForcesAndSourcesCore
FatPrismElementForcesAndSourcesCore(Interface &m_field)
Definition: FatPrismElementForcesAndSourcesCore.cpp:11
CHKERR
#define CHKERR
Inline error check.
Definition: definitions.h:548
ApproxFunction
Definition: prism_polynomial_approximation.cpp:16
MoFEM::CoreInterface::add_finite_element
virtual MoFEMErrorCode add_finite_element(const std::string &fe_name, enum MoFEMTypes bh=MF_EXCL, int verb=DEFAULT_VERBOSITY)=0
add finite element
PrismFE::getRuleThroughThickness
int getRuleThroughThickness(int order)
Definition: prism_elements_from_surface.cpp:437
MoFEM
implementation of Data Operators for Forces and Sources
Definition: Common.hpp:10
MoFEM::CoreInterface::modify_finite_element_add_field_col
virtual MoFEMErrorCode modify_finite_element_add_field_col(const std::string &fe_name, const std::string name_row)=0
set field col which finite element use
MoFEM::OpSetInvJacH1ForFatPrism
Transform local reference derivatives of shape functions to global derivatives.
Definition: UserDataOperators.hpp:3172
PrismOpLhs::PrismOpLhs
PrismOpLhs(SmartPetscObj< Mat > &a)
Definition: prism_polynomial_approximation.cpp:334
a
constexpr double a
Definition: approx_sphere.cpp:30
MoFEM::CoreInterface::build_finite_elements
virtual MoFEMErrorCode build_finite_elements(int verb=DEFAULT_VERBOSITY)=0
Build finite elements.
PrismOpCheck
Definition: prism_polynomial_approximation.cpp:51
MoFEM::ForcesAndSourcesCore::UserDataOperator
Definition: ForcesAndSourcesCore.hpp:549
MoFEM::PrismsFromSurfaceInterface::seedPrismsEntities
MoFEMErrorCode seedPrismsEntities(Range &prisms, const BitRefLevel &bit, int verb=-1)
Seed prism entities by bit level.
Definition: PrismsFromSurfaceInterface.cpp:110
convert.type
type
Definition: convert.py:64
MoFEM::OpCalculateScalarFieldValues
Get value at integration points for scalar field.
Definition: UserDataOperators.hpp:82
COL
@ COL
Definition: definitions.h:136
ApproxFunction::diff_fun
static VectorDouble3 diff_fun(double x, double y, double z)
Definition: prism_polynomial_approximation.cpp:32
PrismFE
Definition: prism_elements_from_surface.cpp:62
MoFEM::FatPrismElementForcesAndSourcesCore
FatPrism finite element.
Definition: FatPrismElementForcesAndSourcesCore.hpp:31
MoFEM::CoreInterface::modify_finite_element_add_field_data
virtual MoFEMErrorCode modify_finite_element_add_field_data(const std::string &fe_name, const std::string name_field)=0
set finite element field data
i
FTensor::Index< 'i', SPACE_DIM > i
Definition: hcurl_divergence_operator_2d.cpp:27
MoFEM::ProblemsManager::partitionFiniteElements
MoFEMErrorCode partitionFiniteElements(const std::string name, bool part_from_moab=false, int low_proc=-1, int hi_proc=-1, int verb=VERBOSE)
partition finite elements
Definition: ProblemsManager.cpp:2167
PrismOpCheck::fieldVals
boost::shared_ptr< VectorDouble > fieldVals
Definition: prism_polynomial_approximation.cpp:60
MoFEM::CoreInterface::modify_problem_ref_level_add_bit
virtual MoFEMErrorCode modify_problem_ref_level_add_bit(const std::string &name_problem, const BitRefLevel &bit)=0
add ref level to problem
MoFEM::VecManager
Vector manager is used to create vectors \mofem_vectors.
Definition: VecManager.hpp:23
PrismOpRhs::doWork
MoFEMErrorCode doWork(int side, EntityType type, EntitiesFieldData::EntData &data)
Operator for linear form, usually to calculate values on right hand side.
Definition: prism_polynomial_approximation.cpp:305
MoFEM::MatrixManager
Matrix manager is used to build and partition problems.
Definition: MatrixManager.hpp:21
MoFEM::OpMultiplyDeterminantOfJacobianAndWeightsForFatPrisms
Operator for fat prism element updating integration weights in the volume.
Definition: UserDataOperators.hpp:3124
convert.n
n
Definition: convert.py:82
diff_fun
auto diff_fun
Function derivative.
Definition: higher_derivatives.cpp:45
MoFEM::ForcesAndSourcesCore
structure to get information form mofem into EntitiesFieldData
Definition: ForcesAndSourcesCore.hpp:22
v
const double v
phase velocity of light in medium (cm/ns)
Definition: initial_diffusion.cpp:40
Range
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
ApproxFunction::fun
static double fun(double x, double y, double z)
Definition: prism_polynomial_approximation.cpp:17
CATCH_ERRORS
#define CATCH_ERRORS
Catch errors.
Definition: definitions.h:385
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:1318
MoFEM::Core
CoreTmp< 0 > Core
Definition: Core.hpp:1148
MoFEM::ProblemsManager::partitionSimpleProblem
MoFEMErrorCode partitionSimpleProblem(const std::string name, int verb=VERBOSE)
partition problem dofs
Definition: ProblemsManager.cpp:1537
HenckyOps::f
auto f
Definition: HenckyOps.hpp:15
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
approx_order
int approx_order
Definition: test_broken_space.cpp:50
AINSWORTH_LEGENDRE_BASE
@ AINSWORTH_LEGENDRE_BASE
Ainsworth Cole (Legendre) approx. base .
Definition: definitions.h:60
MoFEM::CoreInterface::build_fields
virtual MoFEMErrorCode build_fields(int verb=DEFAULT_VERBOSITY)=0
sdf_hertz_2d_axisymm_plane.d
float d
Definition: sdf_hertz_2d_axisymm_plane.py:4
main
int main(int argc, char *argv[])
Definition: prism_polynomial_approximation.cpp:96
MoFEM::Types::VectorDouble
UBlasVector< double > VectorDouble
Definition: Types.hpp:68
ReactionDiffusionEquation::D
const double D
diffusivity
Definition: reaction_diffusion.cpp:20
m
FTensor::Index< 'm', 3 > m
Definition: shallow_wave.cpp:80
MoFEM::BitRefManager
Managing BitRefLevels.
Definition: BitRefManager.hpp:21
MoFEM::CoreInterface::modify_problem_add_finite_element
virtual MoFEMErrorCode modify_problem_add_finite_element(const std::string name_problem, const std::string &fe_name)=0
add finite element to problem, this add entities assigned to finite element to a particular problem
MoFEM::Types::BitRefLevel
std::bitset< BITREFLEVEL_SIZE > BitRefLevel
Bit structure attached to each entity identifying to what mesh entity is attached.
Definition: Types.hpp:40
MOFEM_ATOM_TEST_INVALID
@ MOFEM_ATOM_TEST_INVALID
Definition: definitions.h:40
MoFEM::CoreInterface::build_adjacencies
virtual MoFEMErrorCode build_adjacencies(const Range &ents, int verb=DEFAULT_VERBOSITY)=0
build adjacencies
MoFEM::CoreInterface::set_field_order
virtual MoFEMErrorCode set_field_order(const EntityHandle meshset, const EntityType type, const std::string &name, const ApproximationOrder order, int verb=DEFAULT_VERBOSITY)=0
Set order approximation of the entities in the field.
MoFEM::SmartPetscObj< Vec >
MoFEM::ProblemsManager::partitionGhostDofs
MoFEMErrorCode partitionGhostDofs(const std::string name, int verb=VERBOSE)
determine ghost nodes
Definition: ProblemsManager.cpp:2339
fun
auto fun
Function to approximate.
Definition: dg_projection.cpp:36
k
FTensor::Index< 'k', 3 > k
Definition: matrix_function.cpp:20
MoFEM::CoreInterface::add_problem
virtual MoFEMErrorCode add_problem(const std::string &name, enum MoFEMTypes bh=MF_EXCL, int verb=DEFAULT_VERBOSITY)=0
Add problem.
PrismOpLhs::A
SmartPetscObj< Mat > A
Definition: prism_polynomial_approximation.cpp:85
MoFEMFunctionReturn
#define MoFEMFunctionReturn(a)
Last executable line of each PETSc function used for error handling. Replaces return()
Definition: definitions.h:429
help
static char help[]
Definition: prism_polynomial_approximation.cpp:12
MoFEM::CoreInterface::add_field
virtual MoFEMErrorCode add_field(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_EXCL, int verb=DEFAULT_VERBOSITY)=0
Add field.
MoFEMFunctionBegin
#define MoFEMFunctionBegin
First executable line of each MoFEM function, used for error handling. Final line of MoFEM functions ...
Definition: definitions.h:359
MoFEM::ForcesAndSourcesCore::UserDataOperator::getFTensor1CoordsAtGaussPts
auto getFTensor1CoordsAtGaussPts()
Get coordinates at integration points assuming linear geometry.
Definition: ForcesAndSourcesCore.hpp:1269
F
@ F
Definition: free_surface.cpp:394
Generated by Doxygen 1.8.17 and hosted at University of Glasgow