deal.II version GIT relicensing-2571-gcecf710a31 2025-02-06 19:20:00+00:00
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mapping_fe_field.h
Go to the documentation of this file.
1// ------------------------------------------------------------------------
2//
3// SPDX-License-Identifier: LGPL-2.1-or-later
4// Copyright (C) 2015 - 2024 by the deal.II authors
5//
6// This file is part of the deal.II library.
7//
8// Part of the source code is dual licensed under Apache-2.0 WITH
9// LLVM-exception OR LGPL-2.1-or-later. Detailed license information
10// governing the source code and code contributions can be found in
11// LICENSE.md and CONTRIBUTING.md at the top level directory of deal.II.
12//
13// ------------------------------------------------------------------------
14
15#ifndef dealii_mapping_fe_field_h
16#define dealii_mapping_fe_field_h
17
18
19#include <deal.II/base/config.h>
20
22#include <deal.II/base/mutex.h>
23
25
26#include <deal.II/fe/fe.h>
28#include <deal.II/fe/mapping.h>
29
30#include <deal.II/lac/vector.h>
31
32#include <array>
33
34
36
37
78template <int dim, int spacedim = dim, typename VectorType = Vector<double>>
79class MappingFEField : public Mapping<dim, spacedim>
80{
81public:
115 const VectorType &euler_vector,
116 const ComponentMask &mask = {});
117
128 const std::vector<VectorType> &euler_vector,
129 const ComponentMask &mask = {});
130
140 const ComponentMask &mask = {});
141
146
151 virtual std::unique_ptr<Mapping<dim, spacedim>>
152 clone() const override;
153
159 virtual bool
160 preserves_vertex_locations() const override;
161
162 virtual bool
163 is_compatible_with(const ReferenceCell &reference_cell) const override;
164
172 virtual boost::container::small_vector<Point<spacedim>,
173#ifndef _MSC_VER
174 ReferenceCells::max_n_vertices<dim>()
175#else
177#endif
178 >
180 const override;
181
187 // for documentation, see the Mapping base class
188 virtual Point<spacedim>
191 const Point<dim> &p) const override;
192
193 // for documentation, see the Mapping base class
194 virtual Point<dim>
197 const Point<spacedim> &p) const override;
198
208 // for documentation, see the Mapping base class
209 virtual void
210 transform(const ArrayView<const Tensor<1, dim>> &input,
211 const MappingKind kind,
213 const ArrayView<Tensor<1, spacedim>> &output) const override;
214
215 // for documentation, see the Mapping base class
216 virtual void
218 const MappingKind kind,
220 const ArrayView<Tensor<2, spacedim>> &output) const override;
221
222 // for documentation, see the Mapping base class
223 virtual void
224 transform(const ArrayView<const Tensor<2, dim>> &input,
225 const MappingKind kind,
227 const ArrayView<Tensor<2, spacedim>> &output) const override;
228
229 // for documentation, see the Mapping base class
230 virtual void
232 const MappingKind kind,
234 const ArrayView<Tensor<3, spacedim>> &output) const override;
235
236 // for documentation, see the Mapping base class
237 virtual void
238 transform(const ArrayView<const Tensor<3, dim>> &input,
239 const MappingKind kind,
241 const ArrayView<Tensor<3, spacedim>> &output) const override;
242
251 unsigned int
252 get_degree() const;
253
259 get_component_mask() const;
260
265
266private:
272 // documentation can be found in Mapping::requires_update_flags()
273 virtual UpdateFlags
274 requires_update_flags(const UpdateFlags update_flags) const override;
275
276public:
288 class InternalData : public Mapping<dim, spacedim>::InternalDataBase
289 {
290 public:
295 const ComponentMask &mask);
296
297 // Documentation see Mapping::InternalDataBase.
298 virtual void
299 reinit(const UpdateFlags update_flags,
300 const Quadrature<dim> &quadrature) override;
301
306 const double &
307 shape(const unsigned int qpoint, const unsigned int shape_nr) const;
308
312 double &
313 shape(const unsigned int qpoint, const unsigned int shape_nr);
314
318 const Tensor<1, dim> &
319 derivative(const unsigned int qpoint, const unsigned int shape_nr) const;
320
325 derivative(const unsigned int qpoint, const unsigned int shape_nr);
326
330 const Tensor<2, dim> &
331 second_derivative(const unsigned int qpoint,
332 const unsigned int shape_nr) const;
333
338 second_derivative(const unsigned int qpoint, const unsigned int shape_nr);
339
343 const Tensor<3, dim> &
344 third_derivative(const unsigned int qpoint,
345 const unsigned int shape_nr) const;
346
351 third_derivative(const unsigned int qpoint, const unsigned int shape_nr);
352
356 const Tensor<4, dim> &
357 fourth_derivative(const unsigned int qpoint,
358 const unsigned int shape_nr) const;
359
364 fourth_derivative(const unsigned int qpoint, const unsigned int shape_nr);
365
369 virtual std::size_t
370 memory_consumption() const override;
371
376
382 std::vector<double> shape_values;
383
389 std::vector<Tensor<1, dim>> shape_derivatives;
390
397 std::vector<Tensor<2, dim>> shape_second_derivatives;
398
405 std::vector<Tensor<3, dim>> shape_third_derivatives;
406
413 std::vector<Tensor<4, dim>> shape_fourth_derivatives;
414
428 std::array<std::vector<Tensor<1, dim>>,
431
438 unsigned int n_shape_functions;
439
453
463 mutable std::vector<DerivativeForm<1, dim, spacedim>> covariant;
464
472 mutable std::vector<DerivativeForm<1, dim, spacedim>> contravariant;
473
478 mutable std::vector<double> volume_elements;
479
483 mutable std::vector<double> quadrature_weights;
484
488 mutable std::vector<std::vector<Tensor<1, spacedim>>> aux;
489
493 mutable std::vector<types::global_dof_index> local_dof_indices;
494
498 mutable std::vector<double> local_dof_values;
499 };
500
501protected:
502 // documentation can be found in Mapping::get_data()
503 virtual std::unique_ptr<typename Mapping<dim, spacedim>::InternalDataBase>
504 get_data(const UpdateFlags, const Quadrature<dim> &quadrature) const override;
505
506 using Mapping<dim, spacedim>::get_face_data;
507
508 // documentation can be found in Mapping::get_face_data()
509 virtual std::unique_ptr<typename Mapping<dim, spacedim>::InternalDataBase>
510 get_face_data(const UpdateFlags flags,
511 const hp::QCollection<dim - 1> &quadrature) const override;
512
513 // documentation can be found in Mapping::get_subface_data()
514 virtual std::unique_ptr<typename Mapping<dim, spacedim>::InternalDataBase>
515 get_subface_data(const UpdateFlags flags,
516 const Quadrature<dim - 1> &quadrature) const override;
517
518 // documentation can be found in Mapping::fill_fe_values()
522 const CellSimilarity::Similarity cell_similarity,
523 const Quadrature<dim> &quadrature,
524 const typename Mapping<dim, spacedim>::InternalDataBase &internal_data,
526 &output_data) const override;
527
528 using Mapping<dim, spacedim>::fill_fe_face_values;
529
530 // documentation can be found in Mapping::fill_fe_face_values()
531 virtual void
534 const unsigned int face_no,
535 const hp::QCollection<dim - 1> &quadrature,
536 const typename Mapping<dim, spacedim>::InternalDataBase &internal_data,
538 &output_data) const override;
539
540 // documentation can be found in Mapping::fill_fe_subface_values()
541 virtual void
544 const unsigned int face_no,
545 const unsigned int subface_no,
546 const Quadrature<dim - 1> &quadrature,
547 const typename Mapping<dim, spacedim>::InternalDataBase &internal_data,
549 &output_data) const override;
550
551 virtual void
555 const typename Mapping<dim, spacedim>::InternalDataBase &internal_data,
557 &output_data) const override;
558
568
573 const bool uses_level_dofs;
574
578 std::vector<ObserverPointer<const VectorType,
581
588
589private:
607
625 const Point<spacedim> &p,
626 const Point<dim> &starting_guess,
627 InternalData &mdata) const;
628
632 void
636 &data) const;
637
638 /*
639 * Which components to use for the mapping.
640 */
642
652 std::vector<unsigned int> fe_to_real;
653
659
664
665 void
666 compute_face_data(const unsigned int n_original_q_points,
667 InternalData &data) const;
668
669 // Declare other MappingFEField classes friends.
670 template <int, int, class>
671 friend class MappingFEField;
672};
673
676/* -------------- declaration of explicit specializations ------------- */
677
678#ifndef DOXYGEN
679
680#endif // DOXYGEN
681
683
684#endif
const Tensor< 3, dim > & third_derivative(const unsigned int qpoint, const unsigned int shape_nr) const
std::array< std::vector< Tensor< 1, dim > >, GeometryInfo< dim >::faces_per_cell *(dim - 1)> unit_tangentials
std::vector< double > quadrature_weights
std::vector< DerivativeForm< 1, dim, spacedim > > contravariant
std::vector< std::vector< Tensor< 1, spacedim > > > aux
std::vector< Tensor< 4, dim > > shape_fourth_derivatives
ObserverPointer< const FiniteElement< dim, spacedim > > fe
std::vector< Tensor< 3, dim > > shape_third_derivatives
const Tensor< 2, dim > & second_derivative(const unsigned int qpoint, const unsigned int shape_nr) const
std::vector< types::global_dof_index > local_dof_indices
virtual void reinit(const UpdateFlags update_flags, const Quadrature< dim > &quadrature) override
virtual std::size_t memory_consumption() const override
const Tensor< 4, dim > & fourth_derivative(const unsigned int qpoint, const unsigned int shape_nr) const
std::vector< Tensor< 1, dim > > shape_derivatives
std::vector< DerivativeForm< 1, dim, spacedim > > covariant
const Tensor< 1, dim > & derivative(const unsigned int qpoint, const unsigned int shape_nr) const
std::vector< double > local_dof_values
const double & shape(const unsigned int qpoint, const unsigned int shape_nr) const
std::vector< double > shape_values
std::vector< Tensor< 2, dim > > shape_second_derivatives
std::vector< double > volume_elements
std::vector< unsigned int > fe_to_real
virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > get_subface_data(const UpdateFlags flags, const Quadrature< dim - 1 > &quadrature) const override
const ComponentMask fe_mask
void update_internal_dofs(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const typename MappingFEField< dim, spacedim, VectorType >::InternalData &data) const
virtual void transform(const ArrayView< const Tensor< 1, dim > > &input, const MappingKind kind, const typename Mapping< dim, spacedim >::InternalDataBase &internal, const ArrayView< Tensor< 1, spacedim > > &output) const override
virtual Point< spacedim > transform_unit_to_real_cell(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< dim > &p) const override
virtual bool preserves_vertex_locations() const override
Point< dim > do_transform_real_to_unit_cell(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< spacedim > &p, const Point< dim > &starting_guess, InternalData &mdata) const
void compute_face_data(const unsigned int n_original_q_points, InternalData &data) const
virtual Point< dim > transform_real_to_unit_cell(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< spacedim > &p) const override
virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > get_face_data(const UpdateFlags flags, const hp::QCollection< dim - 1 > &quadrature) const override
virtual void fill_fe_immersed_surface_values(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const NonMatching::ImmersedSurfaceQuadrature< dim > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override
friend class MappingFEField
virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > get_data(const UpdateFlags, const Quadrature< dim > &quadrature) const override
virtual bool is_compatible_with(const ReferenceCell &reference_cell) const override
std::vector< ObserverPointer< const VectorType, MappingFEField< dim, spacedim, VectorType > > > euler_vector
virtual CellSimilarity::Similarity fill_fe_values(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const CellSimilarity::Similarity cell_similarity, const Quadrature< dim > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override
ReferenceCell reference_cell
unsigned int get_degree() const
virtual UpdateFlags requires_update_flags(const UpdateFlags update_flags) const override
Point< spacedim > do_transform_unit_to_real_cell(const InternalData &mdata) const
Threads::Mutex fe_values_mutex
const bool uses_level_dofs
ComponentMask get_component_mask() const
virtual void fill_fe_face_values(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const hp::QCollection< dim - 1 > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override
ObserverPointer< const DoFHandler< dim, spacedim >, MappingFEField< dim, spacedim, VectorType > > euler_dof_handler
FEValues< dim, spacedim > fe_values
virtual std::unique_ptr< Mapping< dim, spacedim > > clone() const override
virtual boost::container::small_vector< Point< spacedim >, ReferenceCells::max_n_vertices< dim >() > get_vertices(const typename Triangulation< dim, spacedim >::cell_iterator &cell) const override
virtual void fill_fe_subface_values(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const unsigned int subface_no, const Quadrature< dim - 1 > &quadrature, const typename Mapping< dim, spacedim >::InternalDataBase &internal_data, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const override
Abstract base class for mapping classes.
Definition mapping.h:318
Definition point.h:111
#define DEAL_II_NAMESPACE_OPEN
Definition config.h:498
#define DEAL_II_NAMESPACE_CLOSE
Definition config.h:499
#define DeclException0(Exception0)
Definition exceptions.h:468
static ::ExceptionBase & ExcInactiveCell()
UpdateFlags
MappingKind
Definition mapping.h:79
std::vector< index_type > data
Definition mpi.cc:735