Reference documentation for deal.II version 9.4.0
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fe_raviart_thomas.h
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4//
5// This file is part of the deal.II library.
6//
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8// it, and/or modify it under the terms of the GNU Lesser General
9// Public License as published by the Free Software Foundation; either
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11// The full text of the license can be found in the file LICENSE.md at
12// the top level directory of deal.II.
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15
16#ifndef dealii_fe_raviart_thomas_h
17#define dealii_fe_raviart_thomas_h
18
19#include <deal.II/base/config.h>
20
21#include <deal.II/base/table.h>
22
23#include <deal.II/fe/fe.h>
25
26#include <vector>
27
29
32
124template <int dim>
126{
127public:
131 FE_RaviartThomas(const unsigned int p);
132
138 virtual std::string
139 get_name() const override;
140
141 // documentation inherited from the base class
142 virtual std::unique_ptr<FiniteElement<dim, dim>>
143 clone() const override;
144
152 virtual bool
153 has_support_on_face(const unsigned int shape_index,
154 const unsigned int face_index) const override;
155
156 // documentation inherited from the base class
157 virtual void
159 const std::vector<Vector<double>> &support_point_values,
160 std::vector<double> & nodal_values) const override;
161
166 virtual std::pair<Table<2, bool>, std::vector<unsigned int>>
167 get_constant_modes() const override;
168
169 virtual std::size_t
170 memory_consumption() const override;
171
172private:
179 static std::vector<unsigned int>
180 get_dpo_vector(const unsigned int degree);
181
187 void
188 initialize_support_points(const unsigned int rt_degree);
189
196 void
198
210
218
292 void
294
295 // Allow access from other dimensions.
296 template <int dim1>
297 friend class FE_RaviartThomas;
298};
299
300
301
332template <int dim>
334{
335public:
339 FE_RaviartThomasNodal(const unsigned int p);
340
346 virtual std::string
347 get_name() const override;
348
349 // documentation inherited from the base class
350 virtual std::unique_ptr<FiniteElement<dim, dim>>
351 clone() const override;
352
353 virtual void
356 const unsigned int face_no = 0) const override;
357
358 virtual void
360 const FiniteElement<dim> &source,
361 const unsigned int subface,
363 const unsigned int face_no = 0) const override;
364
365 virtual void
367 const std::vector<Vector<double>> &support_point_values,
368 std::vector<double> & nodal_values) const override;
369
370 virtual bool
371 hp_constraints_are_implemented() const override;
372
373 virtual std::vector<std::pair<unsigned int, unsigned int>>
374 hp_vertex_dof_identities(const FiniteElement<dim> &fe_other) const override;
375
376 virtual std::vector<std::pair<unsigned int, unsigned int>>
377 hp_line_dof_identities(const FiniteElement<dim> &fe_other) const override;
378
379 virtual std::vector<std::pair<unsigned int, unsigned int>>
381 const unsigned int face_no = 0) const override;
382
388 const unsigned int codim = 0) const override final;
389
390 virtual const FullMatrix<double> &
392 const unsigned int child,
393 const RefinementCase<dim> &refinement_case =
395
396 virtual const FullMatrix<double> &
398 const unsigned int child,
399 const RefinementCase<dim> &refinement_case =
401
402private:
407 virtual bool
408 has_support_on_face(const unsigned int shape_index,
409 const unsigned int face_index) const override;
410
414 void
416
417 /*
418 * Mutex for protecting initialization of restriction and embedding matrix.
419 */
421};
422
423
424namespace internal
425{
430 template <int dim>
431 std::vector<unsigned int>
432 get_lexicographic_numbering_rt_nodal(const unsigned int degree);
433} // namespace internal
434
437/* -------------- declaration of explicit specializations ------------- */
438
439#ifndef DOXYGEN
440
441template <>
442void
444
445#endif // DOXYGEN
446
448
449#endif
virtual std::unique_ptr< FiniteElement< dim, dim > > clone() const override
virtual void convert_generalized_support_point_values_to_dof_values(const std::vector< Vector< double > > &support_point_values, std::vector< double > &nodal_values) const override
virtual bool has_support_on_face(const unsigned int shape_index, const unsigned int face_index) const override
virtual const FullMatrix< double > & get_restriction_matrix(const unsigned int child, const RefinementCase< dim > &refinement_case=RefinementCase< dim >::isotropic_refinement) const override
void initialize_quad_dof_index_permutation_and_sign_change()
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_line_dof_identities(const FiniteElement< dim > &fe_other) const override
virtual void get_face_interpolation_matrix(const FiniteElement< dim > &source, FullMatrix< double > &matrix, const unsigned int face_no=0) const override
virtual std::string get_name() const override
virtual bool hp_constraints_are_implemented() const override
virtual void get_subface_interpolation_matrix(const FiniteElement< dim > &source, const unsigned int subface, FullMatrix< double > &matrix, const unsigned int face_no=0) const override
virtual FiniteElementDomination::Domination compare_for_domination(const FiniteElement< dim > &fe_other, const unsigned int codim=0) const override final
virtual const FullMatrix< double > & get_prolongation_matrix(const unsigned int child, const RefinementCase< dim > &refinement_case=RefinementCase< dim >::isotropic_refinement) const override
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_vertex_dof_identities(const FiniteElement< dim > &fe_other) const override
virtual std::vector< std::pair< unsigned int, unsigned int > > hp_quad_dof_identities(const FiniteElement< dim > &fe_other, const unsigned int face_no=0) const override
FE_RaviartThomasNodal(const unsigned int p)
virtual std::size_t memory_consumption() const override
virtual void convert_generalized_support_point_values_to_dof_values(const std::vector< Vector< double > > &support_point_values, std::vector< double > &nodal_values) const override
virtual bool has_support_on_face(const unsigned int shape_index, const unsigned int face_index) const override
Table< 3, double > interior_weights
virtual std::pair< Table< 2, bool >, std::vector< unsigned int > > get_constant_modes() const override
Table< 2, double > boundary_weights
void initialize_quad_dof_index_permutation_and_sign_change()
virtual std::unique_ptr< FiniteElement< dim, dim > > clone() const override
friend class FE_RaviartThomas
void initialize_support_points(const unsigned int rt_degree)
static std::vector< unsigned int > get_dpo_vector(const unsigned int degree)
virtual std::string get_name() const override
const unsigned int degree
Definition: fe_data.h:449
Definition: vector.h:109
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:442
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:443
@ matrix
Contents is actually a matrix.
std::vector< unsigned int > get_lexicographic_numbering_rt_nodal(const unsigned int degree)