Reference documentation for deal.II version 9.5.0
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fe_raviart_thomas.h
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1// ---------------------------------------------------------------------
2//
3// Copyright (C) 2003 - 2023 by the deal.II authors
4//
5// This file is part of the deal.II library.
6//
7// The deal.II library is free software; you can use it, redistribute
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
10// version 2.1 of the License, or (at your option) any later version.
11// The full text of the license can be found in the file LICENSE.md at
12// the top level directory of deal.II.
13//
14// ---------------------------------------------------------------------
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/mutex.h>
22#include <deal.II/base/table.h>
23
24#include <deal.II/fe/fe.h>
26
27#include <vector>
28
30
127template <int dim>
129{
130public:
134 FE_RaviartThomas(const unsigned int p);
135
141 virtual std::string
142 get_name() const override;
143
144 // documentation inherited from the base class
145 virtual std::unique_ptr<FiniteElement<dim, dim>>
146 clone() const override;
147
155 virtual bool
156 has_support_on_face(const unsigned int shape_index,
157 const unsigned int face_index) const override;
158
159 // documentation inherited from the base class
160 virtual void
162 const std::vector<Vector<double>> &support_point_values,
163 std::vector<double> & nodal_values) const override;
164
169 virtual std::pair<Table<2, bool>, std::vector<unsigned int>>
170 get_constant_modes() const override;
171
172 virtual std::size_t
173 memory_consumption() const override;
174
175private:
182 static std::vector<unsigned int>
183 get_dpo_vector(const unsigned int degree);
184
190 void
191 initialize_support_points(const unsigned int rt_degree);
192
199 void
201
213
221
295 void
297
298 // Allow access from other dimensions.
299 template <int dim1>
300 friend class FE_RaviartThomas;
301};
302
303
304
335template <int dim>
337{
338public:
342 FE_RaviartThomasNodal(const unsigned int p);
343
349 virtual std::string
350 get_name() const override;
351
352 // documentation inherited from the base class
353 virtual std::unique_ptr<FiniteElement<dim, dim>>
354 clone() const override;
355
356 virtual void
358 FullMatrix<double> & matrix,
359 const unsigned int face_no = 0) const override;
360
361 virtual void
363 const FiniteElement<dim> &source,
364 const unsigned int subface,
365 FullMatrix<double> & matrix,
366 const unsigned int face_no = 0) const override;
367
368 virtual void
370 const std::vector<Vector<double>> &support_point_values,
371 std::vector<double> & nodal_values) const override;
372
373 virtual bool
374 hp_constraints_are_implemented() const override;
375
376 virtual std::vector<std::pair<unsigned int, unsigned int>>
377 hp_vertex_dof_identities(const FiniteElement<dim> &fe_other) const override;
378
379 virtual std::vector<std::pair<unsigned int, unsigned int>>
380 hp_line_dof_identities(const FiniteElement<dim> &fe_other) const override;
381
382 virtual std::vector<std::pair<unsigned int, unsigned int>>
384 const unsigned int face_no = 0) const override;
385
391 const unsigned int codim = 0) const override final;
392
393 virtual const FullMatrix<double> &
395 const unsigned int child,
396 const RefinementCase<dim> &refinement_case =
398
399 virtual const FullMatrix<double> &
401 const unsigned int child,
402 const RefinementCase<dim> &refinement_case =
404
405private:
410 virtual bool
411 has_support_on_face(const unsigned int shape_index,
412 const unsigned int face_index) const override;
413
417 void
419
420 /*
421 * Mutex for protecting initialization of restriction and embedding matrix.
422 */
424};
425
428/* -------------- declaration of explicit specializations ------------- */
429
430#ifndef DOXYGEN
431
432template <>
433void
435
436#endif // DOXYGEN
437
439
440#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
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:453
#define DEAL_II_NAMESPACE_OPEN
Definition config.h:472
#define DEAL_II_NAMESPACE_CLOSE
Definition config.h:473