v0.13.1
quad_polynomial_approximation.cpp
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1/** \file quad_polynomial_approximation.cpp
2 \example quad_polynomial_approximation.cpp
3 \brief Checking approximation functions for quad
4
5*/
6
7
8
9#include <MoFEM.hpp>
10
11using namespace MoFEM;
12
16
17static char help[] = "...\n\n";
18
19static constexpr int approx_order = 6;
20struct ApproxFunction {
21 static inline double fun(double x, double y) {
22 double r = 1;
23 for (int o = 1; o <= approx_order; ++o) {
24 for (int i = 0; i <= o; ++i) {
25 int j = o - i;
26 if (j >= 0)
27 r += pow(x, i) * pow(y, j);
28 }
29 }
30 return r;
31 }
32
33 static inline VectorDouble3 diff_fun(double x, double y) {
35 r.clear();
36 for (int o = 1; o <= approx_order; ++o) {
37 for (int i = 0; i <= o; ++i) {
38 int j = o - i;
39 if (j >= 0) {
40 r[0] += i > 0 ? i * pow(x, i - 1) * pow(y, j) : 0;
41 r[1] += j > 0 ? j * pow(x, i) * pow(y, j - 1) : 0;
42 }
43 }
44 }
45 return r;
46 }
47};
48
49struct QuadOpCheck : public OpEle {
50
51 QuadOpCheck(boost::shared_ptr<VectorDouble> &field_vals,
52 boost::shared_ptr<MatrixDouble> &diff_field_vals);
55
56private:
57 boost::shared_ptr<VectorDouble> fieldVals;
58 boost::shared_ptr<MatrixDouble> diffFieldVals;
59};
60
61struct QuadOpRhs : public OpEle {
62
66
67private:
69};
70
71struct QuadOpLhs : public OpEle {
72
74 MoFEMErrorCode doWork(int row_side, int col_side, EntityType row_type,
75 EntityType col_type,
78
79private:
81};
82
83int main(int argc, char *argv[]) {
84
85 MoFEM::Core::Initialize(&argc, &argv, (char *)0, help);
86
87 try {
88
89 // Declare elements
90 enum bases {
91 AINSWORTH,
92 AINSWORTH_LOBATTO,
93 DEMKOWICZ,
94 BERNSTEIN,
95 LASBASETOP
96 };
97 const char *list_bases[] = {"ainsworth", "ainsworth_labatto", "demkowicz",
98 "bernstein"};
99 PetscBool flg;
100 PetscInt choice_base_value = AINSWORTH;
101 CHKERR PetscOptionsGetEList(PETSC_NULL, NULL, "-base", list_bases,
102 LASBASETOP, &choice_base_value, &flg);
103
104 if (flg != PETSC_TRUE)
105 SETERRQ(PETSC_COMM_SELF, MOFEM_IMPOSIBLE_CASE, "base not set");
107 if (choice_base_value == AINSWORTH)
109 if (choice_base_value == AINSWORTH_LOBATTO)
111 else if (choice_base_value == DEMKOWICZ)
113 else if (choice_base_value == BERNSTEIN)
115
116 enum spaces { H1SPACE, L2SPACE, LASBASETSPACE };
117 const char *list_spaces[] = {"h1", "l2"};
118 PetscInt choice_space_value = H1SPACE;
119 CHKERR PetscOptionsGetEList(PETSC_NULL, NULL, "-space", list_spaces,
120 LASBASETSPACE, &choice_space_value, &flg);
121 if (flg != PETSC_TRUE)
122 SETERRQ(PETSC_COMM_SELF, MOFEM_IMPOSIBLE_CASE, "space not set");
123 FieldSpace space = H1;
124 if (choice_space_value == H1SPACE)
125 space = H1;
126 else if (choice_space_value == L2SPACE)
127 space = L2;
128
129 moab::Core mb_instance;
130 moab::Interface &moab = mb_instance;
131
132 std::array<double, 12> one_quad_coords = {0, 0, 0,
133
134 2, 0, 0,
135
136 1, 1, 0,
137
138 0, 1, 0};
139
140 std::array<EntityHandle, 4> one_quad_nodes;
141 for (int n = 0; n != 4; ++n)
142 CHKERR moab.create_vertex(&one_quad_coords[3 * n], one_quad_nodes[n]);
143 EntityHandle one_quad;
144 CHKERR moab.create_element(MBQUAD, one_quad_nodes.data(), 4, one_quad);
145 Range one_quad_range;
146 one_quad_range.insert(one_quad);
147 Range one_quad_adj_ents;
148 CHKERR moab.get_adjacencies(one_quad_range, 1, true, one_quad_adj_ents,
149 moab::Interface::UNION);
150
151 MoFEM::Core core(moab);
152 MoFEM::Interface &m_field = core;
153
154 BitRefLevel bit_level0 = BitRefLevel().set(0);
155 CHKERR m_field.getInterface<BitRefManager>()->setBitRefLevelByDim(
156 0, 2, bit_level0);
157
158 // Fields
159 CHKERR m_field.add_field("FIELD1", space, base, 1);
160 CHKERR m_field.add_ents_to_field_by_type(0, MBQUAD, "FIELD1");
161
162 CHKERR m_field.set_field_order(0, MBVERTEX, "FIELD1", 1);
163 CHKERR m_field.set_field_order(0, MBEDGE, "FIELD1", approx_order + 1);
164 CHKERR m_field.set_field_order(0, MBQUAD, "FIELD1", approx_order + 1);
165 CHKERR m_field.build_fields();
166
167 // FE
168 CHKERR m_field.add_finite_element("QUAD");
169
170 // Define rows/cols and element data
171 CHKERR m_field.modify_finite_element_add_field_row("QUAD", "FIELD1");
172 CHKERR m_field.modify_finite_element_add_field_col("QUAD", "FIELD1");
173 CHKERR m_field.modify_finite_element_add_field_data("QUAD", "FIELD1");
174 CHKERR m_field.add_ents_to_finite_element_by_type(0, MBQUAD, "QUAD");
175
176 // build finite elemnts
178 // //build adjacencies
179 CHKERR m_field.build_adjacencies(bit_level0);
180
181 // Problem
182 CHKERR m_field.add_problem("TEST_PROBLEM");
183
184 // set finite elements for problem
185 CHKERR m_field.modify_problem_add_finite_element("TEST_PROBLEM", "QUAD");
186 // set refinement level for problem
187 CHKERR m_field.modify_problem_ref_level_add_bit("TEST_PROBLEM", bit_level0);
188
189 // build problem
190 ProblemsManager *prb_mng_ptr;
191 CHKERR m_field.getInterface(prb_mng_ptr);
192 CHKERR prb_mng_ptr->buildProblem("TEST_PROBLEM", true);
193 // partition
194 CHKERR prb_mng_ptr->partitionSimpleProblem("TEST_PROBLEM");
195 CHKERR prb_mng_ptr->partitionFiniteElements("TEST_PROBLEM");
196 // what are ghost nodes, see Petsc Manual
197 CHKERR prb_mng_ptr->partitionGhostDofs("TEST_PROBLEM");
198
199 // Create matrices
202 ->createMPIAIJWithArrays<PetscGlobalIdx_mi_tag>("TEST_PROBLEM", A);
204 CHKERR m_field.getInterface<VecManager>()->vecCreateGhost("TEST_PROBLEM",
205 ROW, F);
207 CHKERR m_field.getInterface<VecManager>()->vecCreateGhost("TEST_PROBLEM",
208 COL, D);
209
210 auto rule = [&](int, int, int p) { return 2 * (p + 1); };
211
212 auto assemble_matrices_and_vectors = [&]() {
214 Ele fe(m_field);
215 fe.getRuleHook = rule;
216 auto jac_ptr = boost::make_shared<MatrixDouble>();
217 auto inv_jac_ptr = boost::make_shared<MatrixDouble>();
218 auto det_ptr = boost::make_shared<VectorDouble>();
219 fe.getOpPtrVector().push_back(new OpCalculateHOJac<2>(jac_ptr));
220 fe.getOpPtrVector().push_back(
221 new OpInvertMatrix<2>(jac_ptr, det_ptr, inv_jac_ptr));
222 fe.getOpPtrVector().push_back(
223 new OpSetHOInvJacToScalarBases<2>(H1, inv_jac_ptr));
224 fe.getOpPtrVector().push_back(
225 new OpSetHOInvJacToScalarBases<2>(L2, inv_jac_ptr));
226 fe.getOpPtrVector().push_back(new OpSetHOWeightsOnFace());
227 fe.getOpPtrVector().push_back(new QuadOpRhs(F));
228 fe.getOpPtrVector().push_back(new QuadOpLhs(A));
229 CHKERR VecZeroEntries(F);
230 CHKERR MatZeroEntries(A);
231 CHKERR m_field.loop_finite_elements("TEST_PROBLEM", "QUAD", fe);
232 CHKERR VecAssemblyBegin(F);
233 CHKERR VecAssemblyEnd(F);
234 CHKERR MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY);
235 CHKERR MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY);
237 };
238
239 auto solve_problem = [&] {
241 auto solver = createKSP(PETSC_COMM_WORLD);
242 CHKERR KSPSetOperators(solver, A, A);
243 CHKERR KSPSetFromOptions(solver);
244 CHKERR KSPSetUp(solver);
245 CHKERR KSPSolve(solver, F, D);
246 CHKERR VecGhostUpdateBegin(D, INSERT_VALUES, SCATTER_FORWARD);
247 CHKERR VecGhostUpdateEnd(D, INSERT_VALUES, SCATTER_FORWARD);
248 CHKERR m_field.getInterface<VecManager>()->setLocalGhostVector(
249 "TEST_PROBLEM", COL, D, INSERT_VALUES, SCATTER_REVERSE);
251 };
252
253 auto check_solution = [&] {
255 Ele fe(m_field);
256 fe.getRuleHook = rule;
257 auto field_vals_ptr = boost::make_shared<VectorDouble>();
258 auto diff_field_vals_ptr = boost::make_shared<MatrixDouble>();
259 auto jac_ptr = boost::make_shared<MatrixDouble>();
260 auto inv_jac_ptr = boost::make_shared<MatrixDouble>();
261 auto det_ptr = boost::make_shared<VectorDouble>();
262
263 fe.getOpPtrVector().push_back(
264 new OpCalculateScalarFieldValues("FIELD1", field_vals_ptr));
265 fe.getOpPtrVector().push_back(new OpCalculateHOJac<2>(jac_ptr));
266 fe.getOpPtrVector().push_back(
267 new OpInvertMatrix<2>(jac_ptr, det_ptr, inv_jac_ptr));
268 fe.getOpPtrVector().push_back(
269 new OpSetHOInvJacToScalarBases<2>(H1, inv_jac_ptr));
270 fe.getOpPtrVector().push_back(
271 new OpSetHOInvJacToScalarBases<2>(L2, inv_jac_ptr));
272 fe.getOpPtrVector().push_back(new OpSetHOWeightsOnFace());
274 "FIELD1", diff_field_vals_ptr, space == L2 ? MBQUAD : MBVERTEX));
275 fe.getOpPtrVector().push_back(
276 new QuadOpCheck(field_vals_ptr, diff_field_vals_ptr));
277 CHKERR m_field.loop_finite_elements("TEST_PROBLEM", "QUAD", fe);
279 };
280
281 CHKERR assemble_matrices_and_vectors();
282 CHKERR solve_problem();
283 CHKERR check_solution();
284 }
286
288 return 0;
289}
290
291QuadOpCheck::QuadOpCheck(boost::shared_ptr<VectorDouble> &field_vals,
292 boost::shared_ptr<MatrixDouble> &diff_field_vals)
293 : OpEle("FIELD1", "FIELD1", ForcesAndSourcesCore::UserDataOperator::OPROW),
294 fieldVals(field_vals), diffFieldVals(diff_field_vals) {}
295
299
300 if (type == MBQUAD) {
301 const int nb_gauss_pts = data.getN().size1();
302 auto t_coords = getFTensor1CoordsAtGaussPts();
303 for (int gg = 0; gg != nb_gauss_pts; ++gg) {
304 double f = ApproxFunction::fun(t_coords(0), t_coords(1));
305 constexpr double eps = 1e-6;
306
307 std::cout << f - (*fieldVals)[gg] << std::endl;
308
309 if (std::abs(f - (*fieldVals)[gg]) > eps)
310 SETERRQ3(PETSC_COMM_SELF, MOFEM_ATOM_TEST_INVALID,
311 "Wrong value %d : %6.4e != %6.4e", gg, f, (*fieldVals)[gg]);
312
313 VectorDouble3 diff_f = ApproxFunction::diff_fun(t_coords(0), t_coords(1));
314 for (auto d : {0, 1})
315 std::cout << diff_f[d] - (*diffFieldVals)(d, gg) << " ";
316 std::cout << std::endl;
317 for (auto d : {0, 1})
318 if (std::abs(diff_f[d] - (*diffFieldVals)(d, gg)) > eps)
319 SETERRQ2(PETSC_COMM_SELF, MOFEM_ATOM_TEST_INVALID,
320 "Wrong derivative value (%d) %6.4e != %6.4e", diff_f[d],
321 (*diffFieldVals)(d, gg));
322
323 ++t_coords;
324 }
325 }
327}
328
330 : OpEle("FIELD1", "FIELD1", ForcesAndSourcesCore::UserDataOperator::OPROW),
331 F(f) {}
332
337 const int nb_dofs = data.getIndices().size();
338 if (nb_dofs) {
339 const int nb_gauss_pts = data.getN().size1();
340 VectorDouble nf(nb_dofs);
341 nf.clear();
342 auto t_base = data.getFTensor0N();
343 auto t_coords = getFTensor1CoordsAtGaussPts();
344 auto t_w = getFTensor0IntegrationWeight();
345 auto a = getMeasure();
346 for (int gg = 0; gg != nb_gauss_pts; ++gg) {
347 double f = ApproxFunction::fun(t_coords(0), t_coords(1));
348 double v = a * t_w * f;
349 double *val = &*nf.begin();
350 for (int bb = 0; bb != nb_dofs; ++bb) {
351 *val += v * t_base;
352 ++t_base;
353 ++val;
354 }
355 ++t_coords;
356 ++t_w;
357 // ++t_normal;
358 }
359 CHKERR VecSetValues(F, data, &*nf.data().begin(), ADD_VALUES);
360 }
362}
363
365 : OpEle("FIELD1", "FIELD1",
367 A(a) {
368 // FIXME: Can be symmetric, is not for simplicity
369 sYmm = false;
370}
371
372MoFEMErrorCode QuadOpLhs::doWork(int row_side, int col_side,
373 EntityType row_type, EntityType col_type,
375 EntitiesFieldData::EntData &col_data) {
378 const int row_nb_dofs = row_data.getIndices().size();
379 const int col_nb_dofs = col_data.getIndices().size();
380 if (row_nb_dofs && col_nb_dofs) {
381 const int nb_gauss_pts = row_data.getN().size1();
382 MatrixDouble m(row_nb_dofs, col_nb_dofs);
383 m.clear();
384 auto t_w = getFTensor0IntegrationWeight();
385 auto a = getMeasure();
386 double *row_base_ptr = &*row_data.getN().data().begin();
387 double *col_base_ptr = &*col_data.getN().data().begin();
388 for (int gg = 0; gg != nb_gauss_pts; ++gg) {
389 double v = a * t_w;
390 cblas_dger(CblasRowMajor, row_nb_dofs, col_nb_dofs, v, row_base_ptr, 1,
391 col_base_ptr, 1, &*m.data().begin(), col_nb_dofs);
392 row_base_ptr += row_nb_dofs;
393 col_base_ptr += col_nb_dofs;
394 ++t_w;
395 }
396 CHKERR MatSetValues(A, row_data, col_data, &*m.data().begin(), ADD_VALUES);
397 }
399}
static Index< 'o', 3 > o
static Index< 'p', 3 > p
ForcesAndSourcesCore::UserDataOperator UserDataOperator
constexpr double a
static const double eps
@ COL
Definition: definitions.h:123
@ ROW
Definition: definitions.h:123
#define CATCH_ERRORS
Catch errors.
Definition: definitions.h:372
FieldApproximationBase
approximation base
Definition: definitions.h:58
@ AINSWORTH_LEGENDRE_BASE
Ainsworth Cole (Legendre) approx. base .
Definition: definitions.h:60
@ AINSWORTH_LOBATTO_BASE
Definition: definitions.h:62
@ DEMKOWICZ_JACOBI_BASE
Definition: definitions.h:66
@ AINSWORTH_BERNSTEIN_BEZIER_BASE
Definition: definitions.h:64
FieldSpace
approximation spaces
Definition: definitions.h:82
@ L2
field with C-1 continuity
Definition: definitions.h:88
@ H1
continuous field
Definition: definitions.h:85
#define MoFEMFunctionBegin
First executable line of each MoFEM function, used for error handling. Final line of MoFEM functions ...
Definition: definitions.h:346
@ MOFEM_IMPOSIBLE_CASE
Definition: definitions.h:35
@ MOFEM_ATOM_TEST_INVALID
Definition: definitions.h:40
#define MoFEMFunctionReturn(a)
Last executable line of each PETSc function used for error handling. Replaces return()
Definition: definitions.h:416
#define CHKERR
Inline error check.
Definition: definitions.h:535
FTensor::Index< 'n', SPACE_DIM > n
FTensor::Index< 'm', SPACE_DIM > m
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
virtual MoFEMErrorCode add_finite_element(const std::string &fe_name, enum MoFEMTypes bh=MF_EXCL, int verb=DEFAULT_VERBOSITY)=0
add finite element
virtual MoFEMErrorCode build_finite_elements(int verb=DEFAULT_VERBOSITY)=0
Build finite elements.
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
virtual MoFEMErrorCode modify_finite_element_add_field_data(const std::string &fe_name, const std::string &name_filed)=0
set finite element field data
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
virtual MoFEMErrorCode build_fields(int verb=DEFAULT_VERBOSITY)=0
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.
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.
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.
MoFEMErrorCode partitionGhostDofs(const std::string name, int verb=VERBOSE)
determine ghost nodes
MoFEMErrorCode partitionSimpleProblem(const std::string name, int verb=VERBOSE)
partition problem dofs
MoFEMErrorCode buildProblem(const std::string name, const bool square_matrix, int verb=VERBOSE)
build problem data structures
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
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
virtual MoFEMErrorCode add_problem(const std::string &name, enum MoFEMTypes bh=MF_EXCL, int verb=DEFAULT_VERBOSITY)=0
Add problem.
virtual MoFEMErrorCode modify_problem_ref_level_add_bit(const std::string &name_problem, const BitRefLevel &bit)=0
add ref level to problem
FTensor::Index< 'i', SPACE_DIM > i
const double v
phase velocity of light in medium (cm/ns)
FTensor::Index< 'j', 3 > j
const Tensor1_Expr< const dTensor0< T, Dim, i >, typename promote< T, double >::V, Dim, i > d(const Tensor0< T * > &a, const Index< i, Dim > index, const Tensor1< int, Dim > &d_ijk, const Tensor1< double, Dim > &d_xyz)
Definition: dTensor0.hpp:27
auto f
Definition: HenckyOps.hpp:5
PetscErrorCode MoFEMErrorCode
MoFEM/PETSc error code.
Definition: Exceptions.hpp:56
VectorBoundedArray< double, 3 > VectorDouble3
Definition: Types.hpp:92
std::bitset< BITREFLEVEL_SIZE > BitRefLevel
Bit structure attached to each entity identifying to what mesh entity is attached.
Definition: Types.hpp:40
implementation of Data Operators for Forces and Sources
Definition: MoFEM.hpp:24
auto createKSP(MPI_Comm comm)
CoreTmp< 0 > Core
Definition: Core.hpp:1086
PetscErrorCode PetscOptionsGetEList(PetscOptions *, const char pre[], const char name[], const char *const *list, PetscInt next, PetscInt *value, PetscBool *set)
DeprecatedCoreInterface Interface
Definition: Interface.hpp:1955
const double D
diffusivity
const double r
rate factor
double A
int main(int argc, char *argv[])
EntitiesFieldData::EntData EntData
static char help[]
static constexpr int approx_order
static VectorDouble3 diff_fun(double x, double y, double z)
static VectorDouble3 diff_fun(double x, double y)
static double fun(double x, double y)
static double fun(double x, double y, double z)
Managing BitRefLevels.
virtual MoFEMErrorCode build_adjacencies(const Range &ents, int verb=DEFAULT_VERBOSITY)=0
build adjacencies
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.
Core (interface) class.
Definition: Core.hpp:82
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
static MoFEMErrorCode Finalize()
Checks for options to be called at the conclusion of the program.
Definition: Core.cpp:112
bool sYmm
If true assume that matrix is symmetric structure.
Deprecated interface functions.
Data on single entity (This is passed as argument to DataOperator::doWork)
FTensor::Tensor0< FTensor::PackPtr< double *, 1 > > getFTensor0N(const FieldApproximationBase base)
Get base function as Tensor0.
MatrixDouble & getN(const FieldApproximationBase base)
get base functions this return matrix (nb. of rows is equal to nb. of Gauss pts, nb....
const VectorInt & getIndices() const
Get global indices of dofs on entity.
auto getFTensor1CoordsAtGaussPts()
Get coordinates at integration points assuming linear geometry.
auto getFTensor0IntegrationWeight()
Get integration weights.
structure to get information form mofem into EntitiesFieldData
boost::ptr_vector< UserDataOperator > & getOpPtrVector()
Use to push back operator for row operator.
RuleHookFun getRuleHook
Hook to get rule.
Matrix manager is used to build and partition problems.
Get field gradients at integration pts for scalar filed rank 0, i.e. vector field.
Get value at integration points for scalar field.
Modify integration weights on face to take in account higher-order geometry.
Problem manager is used to build and partition problems.
MoFEMErrorCode getInterface(IFACE *&iface) const
Get interface refernce to pointer of interface.
Vector manager is used to create vectors \mofem_vectors.
Definition: VecManager.hpp:23
boost::shared_ptr< VectorDouble > fieldVals
boost::shared_ptr< MatrixDouble > diffFieldVals
MoFEMErrorCode doWork(int side, EntityType type, EntitiesFieldData::EntData &data)
Operator for linear form, usually to calculate values on right hand side.
QuadOpCheck(boost::shared_ptr< VectorDouble > &field_vals, boost::shared_ptr< MatrixDouble > &diff_field_vals)
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.
QuadOpLhs(SmartPetscObj< Mat > &a)
SmartPetscObj< Mat > A
SmartPetscObj< Vec > F
QuadOpRhs(SmartPetscObj< Vec > &f)
MoFEMErrorCode doWork(int side, EntityType type, EntitiesFieldData::EntData &data)
Operator for linear form, usually to calculate values on right hand side.