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 Reference documentation for deal.II version 9.4.1
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mapping_cartesian.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
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12// the top level directory of deal.II.
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15
16#ifndef dealii_mapping_cartesian_h
17#define dealii_mapping_cartesian_h
18
19
20#include <deal.II/base/config.h>
21
23
24#include <deal.II/fe/mapping.h>
25
26#include <cmath>
27
28
30
33
76template <int dim, int spacedim = dim>
77class MappingCartesian : public Mapping<dim, spacedim>
78{
79public:
80 // for documentation, see the Mapping base class
81 virtual std::unique_ptr<Mapping<dim, spacedim>>
82 clone() const override;
83
88 virtual bool
89 preserves_vertex_locations() const override;
90
91 virtual bool
92 is_compatible_with(const ReferenceCell &reference_cell) const override;
93
99 // for documentation, see the Mapping base class
100 virtual Point<spacedim>
103 const Point<dim> &p) const override;
104
105 // for documentation, see the Mapping base class
106 virtual Point<dim>
109 const Point<spacedim> &p) const override;
110
120 // for documentation, see the Mapping base class
121 virtual void
122 transform(const ArrayView<const Tensor<1, dim>> & input,
123 const MappingKind kind,
125 const ArrayView<Tensor<1, spacedim>> &output) const override;
126
127 // for documentation, see the Mapping base class
128 virtual void
130 const MappingKind kind,
132 const ArrayView<Tensor<2, spacedim>> &output) const override;
133
134 // for documentation, see the Mapping base class
135 virtual void
136 transform(const ArrayView<const Tensor<2, dim>> & input,
137 const MappingKind kind,
139 const ArrayView<Tensor<2, spacedim>> &output) const override;
140
141 // for documentation, see the Mapping base class
142 virtual void
144 const MappingKind kind,
146 const ArrayView<Tensor<3, spacedim>> &output) const override;
147
148 // for documentation, see the Mapping base class
149 virtual void
150 transform(const ArrayView<const Tensor<3, dim>> & input,
151 const MappingKind kind,
153 const ArrayView<Tensor<3, spacedim>> &output) const override;
154
176 void
179 const ArrayView<const Point<dim>> & unit_points,
180 const UpdateFlags update_flags,
182 &output_data) const;
183
200 class InternalData : public Mapping<dim, spacedim>::InternalDataBase
201 {
202 public:
206 InternalData() = default;
207
211 InternalData(const Quadrature<dim> &quadrature);
212
216 virtual std::size_t
217 memory_consumption() const override;
218
224
228 mutable double volume_element;
229
233 std::vector<Point<dim>> quadrature_points;
234 };
235
236private:
237 // documentation can be found in Mapping::requires_update_flags()
238 virtual UpdateFlags
239 requires_update_flags(const UpdateFlags update_flags) const override;
240
241 // documentation can be found in Mapping::get_data()
242 virtual std::unique_ptr<typename Mapping<dim, spacedim>::InternalDataBase>
243 get_data(const UpdateFlags, const Quadrature<dim> &quadrature) const override;
244
245 using Mapping<dim, spacedim>::get_face_data;
246
247 // documentation can be found in Mapping::get_face_data()
248 virtual std::unique_ptr<typename Mapping<dim, spacedim>::InternalDataBase>
249 get_face_data(const UpdateFlags flags,
250 const hp::QCollection<dim - 1> &quadrature) const override;
251
252 // documentation can be found in Mapping::get_subface_data()
253 virtual std::unique_ptr<typename Mapping<dim, spacedim>::InternalDataBase>
254 get_subface_data(const UpdateFlags flags,
255 const Quadrature<dim - 1> &quadrature) const override;
256
257 // documentation can be found in Mapping::fill_fe_values()
261 const CellSimilarity::Similarity cell_similarity,
262 const Quadrature<dim> & quadrature,
263 const typename Mapping<dim, spacedim>::InternalDataBase & internal_data,
265 &output_data) const override;
266
267 using Mapping<dim, spacedim>::fill_fe_face_values;
268
269 // documentation can be found in Mapping::fill_fe_face_values()
270 virtual void
273 const unsigned int face_no,
274 const hp::QCollection<dim - 1> & quadrature,
275 const typename Mapping<dim, spacedim>::InternalDataBase & internal_data,
277 &output_data) const override;
278
279 // documentation can be found in Mapping::fill_fe_subface_values()
280 virtual void
283 const unsigned int face_no,
284 const unsigned int subface_no,
285 const Quadrature<dim - 1> & quadrature,
286 const typename Mapping<dim, spacedim>::InternalDataBase & internal_data,
288 &output_data) const override;
289
290 // documentation can be found in Mapping::fill_fe_immersed_surface_values()
291 virtual void
295 const typename Mapping<dim, spacedim>::InternalDataBase & internal_data,
297 &output_data) const override;
298
307 void
310 const CellSimilarity::Similarity cell_similarity,
311 const InternalData & data) const;
312
319 void
322 const InternalData & data,
323 std::vector<Point<dim>> &quadrature_points) const;
324
331 void
334 const unsigned int face_no,
335 const InternalData & data,
336 std::vector<Point<dim>> &quadrature_points) const;
337
344 void
347 const unsigned int face_no,
348 const unsigned int sub_no,
349 const InternalData & data,
350 std::vector<Point<dim>> &quadrature_points) const;
351
358 void
361 const InternalData & data,
362 const typename QProjector<dim>::DataSetDescriptor & offset,
363 std::vector<Point<dim>> &quadrature_points) const;
364
369 void
371 const unsigned int face_no,
372 const InternalData & data,
373 std::vector<Tensor<1, dim>> &normal_vectors) const;
374
380 void
382 const InternalData & data,
383 const CellSimilarity::Similarity cell_similarity,
385 &output_data) const;
386
387
392 void
394
399 void
401 const InternalData & data,
402 const CellSimilarity::Similarity cell_similarity,
404 &output_data) const;
405
410 void
412 const InternalData & data,
413 const CellSimilarity::Similarity cell_similarity,
415 &output_data) const;
416};
417
421
422#endif
std::vector< Point< dim > > quadrature_points
virtual std::size_t memory_consumption() const override
void fill_mapping_data_for_generic_points(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const ArrayView< const Point< dim > > &unit_points, const UpdateFlags update_flags, ::internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) 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
void maybe_update_volume_elements(const InternalData &data) const
virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > get_face_data(const UpdateFlags flags, const hp::QCollection< dim - 1 > &quadrature) const override
virtual UpdateFlags requires_update_flags(const UpdateFlags update_flags) const override
virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > get_subface_data(const UpdateFlags flags, const Quadrature< dim - 1 > &quadrature) const override
void update_cell_extents(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const CellSimilarity::Similarity cell_similarity, const InternalData &data) const
void maybe_update_jacobians(const InternalData &data, const CellSimilarity::Similarity cell_similarity, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const
void maybe_update_subface_quadrature_points(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const unsigned int sub_no, const InternalData &data, std::vector< Point< dim > > &quadrature_points) const
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
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
void maybe_update_face_quadrature_points(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const unsigned int face_no, const InternalData &data, std::vector< Point< dim > > &quadrature_points) const
virtual bool is_compatible_with(const ReferenceCell &reference_cell) const override
void maybe_update_cell_quadrature_points(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const InternalData &data, std::vector< Point< dim > > &quadrature_points) const
virtual bool preserves_vertex_locations() 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 std::unique_ptr< Mapping< dim, spacedim > > clone() const override
virtual Point< dim > transform_real_to_unit_cell(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const Point< spacedim > &p) const override
void transform_quadrature_points(const typename Triangulation< dim, spacedim >::cell_iterator &cell, const InternalData &data, const typename QProjector< dim >::DataSetDescriptor &offset, std::vector< Point< dim > > &quadrature_points) const
void maybe_update_jacobian_derivatives(const InternalData &data, const CellSimilarity::Similarity cell_similarity, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_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
void maybe_update_normal_vectors(const unsigned int face_no, const InternalData &data, std::vector< Tensor< 1, dim > > &normal_vectors) const
virtual std::unique_ptr< typename Mapping< dim, spacedim >::InternalDataBase > get_data(const UpdateFlags, const Quadrature< dim > &quadrature) const override
void maybe_update_inverse_jacobians(const InternalData &data, const CellSimilarity::Similarity cell_similarity, internal::FEValuesImplementation::MappingRelatedData< dim, spacedim > &output_data) const
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:311
Definition: point.h:111
Definition: tensor.h:503
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:442
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:443
UpdateFlags
MappingKind
Definition: mapping.h:72