Reference documentation for deal.II version GIT eef19498cf 2022-10-05 14:45:02+00:00
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fe_nedelec_sz.h
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15 
16 #ifndef dealii_fe_nedelec_sz_h
17 #define dealii_fe_nedelec_sz_h
18 
19 #include <deal.II/base/config.h>
20 
24 
25 #include <deal.II/fe/fe.h>
26 #include <deal.II/fe/fe_values.h>
27 #include <deal.II/fe/mapping.h>
28 
30 
74 template <int dim, int spacedim = dim>
75 class FE_NedelecSZ : public FiniteElement<dim, dim>
76 {
77 public:
78  static_assert(dim == spacedim,
79  "FE_NedelecSZ is only implemented for dim==spacedim!");
80 
95  FE_NedelecSZ(const unsigned int order);
96 
97  virtual UpdateFlags
98  requires_update_flags(const UpdateFlags update_flags) const override;
99 
100  virtual std::string
101  get_name() const override;
102 
103  virtual std::unique_ptr<FiniteElement<dim, dim>>
104  clone() const override;
105 
110  virtual double
111  shape_value(const unsigned int i, const Point<dim> &p) const override;
112 
116  virtual double
117  shape_value_component(const unsigned int i,
118  const Point<dim> & p,
119  const unsigned int component) const override;
120 
125  virtual Tensor<1, dim>
126  shape_grad(const unsigned int i, const Point<dim> &p) const override;
127 
131  virtual Tensor<1, dim>
132  shape_grad_component(const unsigned int i,
133  const Point<dim> & p,
134  const unsigned int component) const override;
135 
140  virtual Tensor<2, dim>
141  shape_grad_grad(const unsigned int i, const Point<dim> &p) const override;
142 
146  virtual Tensor<2, dim>
147  shape_grad_grad_component(const unsigned int i,
148  const Point<dim> & p,
149  const unsigned int component) const override;
150 
151 protected:
157 
158  virtual std::unique_ptr<
159  typename ::FiniteElement<dim, spacedim>::InternalDataBase>
160  get_data(
161  const UpdateFlags update_flags,
162  const Mapping<dim, spacedim> &mapping,
163  const Quadrature<dim> & quadrature,
165  spacedim>
166  &output_data) const override;
167 
173  virtual void
175  const typename Triangulation<dim, dim>::cell_iterator &cell,
176  const CellSimilarity::Similarity cell_similarity,
177  const Quadrature<dim> & quadrature,
178  const Mapping<dim, dim> & mapping,
179  const typename Mapping<dim, dim>::InternalDataBase & mapping_internal,
180  const ::internal::FEValuesImplementation::MappingRelatedData<dim, dim>
181  & mapping_data,
182  const typename FiniteElement<dim, dim>::InternalDataBase &fedata,
184  &data) const override;
185 
187 
193  virtual void
195  const typename Triangulation<dim, dim>::cell_iterator &cell,
196  const unsigned int face_no,
197  const hp::QCollection<dim - 1> & quadrature,
198  const Mapping<dim, dim> & mapping,
199  const typename Mapping<dim, dim>::InternalDataBase & mapping_internal,
200  const ::internal::FEValuesImplementation::MappingRelatedData<dim, dim>
201  & mapping_data,
202  const typename FiniteElement<dim, dim>::InternalDataBase &fedata,
204  &data) const override;
205 
209  virtual void
211  const typename Triangulation<dim, dim>::cell_iterator &cell,
212  const unsigned int face_no,
213  const unsigned int sub_no,
214  const Quadrature<dim - 1> & quadrature,
215  const Mapping<dim, dim> & mapping,
216  const typename Mapping<dim, dim>::InternalDataBase & mapping_internal,
217  const ::internal::FEValuesImplementation::MappingRelatedData<dim, dim>
218  & mapping_data,
219  const typename FiniteElement<dim, dim>::InternalDataBase &fedata,
221  &data) const override;
222 
243  {
244  public:
251  mutable std::vector<std::vector<Tensor<1, dim>>> shape_values;
252 
260  mutable std::vector<std::vector<DerivativeForm<1, dim, dim>>> shape_grads;
261 
269  mutable std::vector<std::vector<DerivativeForm<2, dim, dim>>>
271 
287  std::vector<std::vector<std::vector<double>>> sigma_imj_values;
288 
304  std::vector<std::vector<std::vector<double>>> sigma_imj_grads;
305 
317  std::vector<std::vector<double>> edge_sigma_values;
318 
330  std::vector<std::vector<double>> edge_sigma_grads;
331 
347  std::vector<std::vector<double>> edge_lambda_values;
348 
358  std::vector<std::vector<double>> edge_lambda_grads_2d;
359 
369  std::vector<std::vector<std::vector<double>>> edge_lambda_grads_3d;
370 
381  std::vector<std::vector<std::vector<double>>> edge_lambda_gradgrads_3d;
382 
399  std::vector<std::vector<double>> face_lambda_values;
400 
409  std::vector<std::vector<double>> face_lambda_grads;
410  };
411 
412 private:
421  static std::vector<unsigned int>
422  get_dpo_vector(const unsigned int degree);
423 
427  std::vector<Polynomials::Polynomial<double>> IntegratedLegendrePolynomials;
428 
433  void
434  create_polynomials(const unsigned int degree);
435 
439  unsigned int
440  compute_num_dofs(const unsigned int degree) const;
441 
446  void
448  const Quadrature<dim> &quadrature,
449  const InternalData & fedata) const;
450 
455  void
457  const Quadrature<dim> &quadrature,
458  const InternalData & fedata) const;
459 };
460 
461 
462 
466 
467 #endif
std::vector< std::vector< double > > edge_lambda_grads_2d
std::vector< std::vector< Tensor< 1, dim > > > shape_values
std::vector< std::vector< std::vector< double > > > sigma_imj_values
std::vector< std::vector< double > > edge_sigma_grads
std::vector< std::vector< double > > edge_sigma_values
std::vector< std::vector< DerivativeForm< 2, dim, dim > > > shape_hessians
std::vector< std::vector< std::vector< double > > > sigma_imj_grads
std::vector< std::vector< double > > face_lambda_values
std::vector< std::vector< DerivativeForm< 1, dim, dim > > > shape_grads
std::vector< std::vector< std::vector< double > > > edge_lambda_grads_3d
std::vector< std::vector< double > > edge_lambda_values
std::vector< std::vector< std::vector< double > > > edge_lambda_gradgrads_3d
std::vector< std::vector< double > > face_lambda_grads
virtual void fill_fe_values(const typename Triangulation< dim, dim >::cell_iterator &cell, const CellSimilarity::Similarity cell_similarity, const Quadrature< dim > &quadrature, const Mapping< dim, dim > &mapping, const typename Mapping< dim, dim >::InternalDataBase &mapping_internal, const ::internal::FEValuesImplementation::MappingRelatedData< dim, dim > &mapping_data, const typename FiniteElement< dim, dim >::InternalDataBase &fedata, ::internal::FEValuesImplementation::FiniteElementRelatedData< dim, dim > &data) const override
unsigned int compute_num_dofs(const unsigned int degree) const
virtual std::unique_ptr< FiniteElement< dim, dim > > clone() const override
virtual void fill_fe_face_values(const typename Triangulation< dim, dim >::cell_iterator &cell, const unsigned int face_no, const hp::QCollection< dim - 1 > &quadrature, const Mapping< dim, dim > &mapping, const typename Mapping< dim, dim >::InternalDataBase &mapping_internal, const ::internal::FEValuesImplementation::MappingRelatedData< dim, dim > &mapping_data, const typename FiniteElement< dim, dim >::InternalDataBase &fedata, ::internal::FEValuesImplementation::FiniteElementRelatedData< dim, dim > &data) const override
FE_NedelecSZ(const unsigned int order)
virtual UpdateFlags requires_update_flags(const UpdateFlags update_flags) const override
static std::vector< unsigned int > get_dpo_vector(const unsigned int degree)
virtual void fill_fe_subface_values(const typename Triangulation< dim, dim >::cell_iterator &cell, const unsigned int face_no, const unsigned int sub_no, const Quadrature< dim - 1 > &quadrature, const Mapping< dim, dim > &mapping, const typename Mapping< dim, dim >::InternalDataBase &mapping_internal, const ::internal::FEValuesImplementation::MappingRelatedData< dim, dim > &mapping_data, const typename FiniteElement< dim, dim >::InternalDataBase &fedata, ::internal::FEValuesImplementation::FiniteElementRelatedData< dim, dim > &data) const override
void create_polynomials(const unsigned int degree)
virtual std::unique_ptr< typename ::FiniteElement< dim, spacedim >::InternalDataBase > get_data(const UpdateFlags update_flags, const Mapping< dim, spacedim > &mapping, const Quadrature< dim > &quadrature, ::internal::FEValuesImplementation::FiniteElementRelatedData< dim, spacedim > &output_data) const override
virtual std::string get_name() const override
virtual Tensor< 2, dim > shape_grad_grad_component(const unsigned int i, const Point< dim > &p, const unsigned int component) const override
virtual Tensor< 1, dim > shape_grad_component(const unsigned int i, const Point< dim > &p, const unsigned int component) const override
virtual Tensor< 1, dim > shape_grad(const unsigned int i, const Point< dim > &p) const override
std::vector< Polynomials::Polynomial< double > > IntegratedLegendrePolynomials
virtual Tensor< 2, dim > shape_grad_grad(const unsigned int i, const Point< dim > &p) const override
virtual double shape_value_component(const unsigned int i, const Point< dim > &p, const unsigned int component) const override
void fill_face_values(const typename Triangulation< dim, dim >::cell_iterator &cell, const Quadrature< dim > &quadrature, const InternalData &fedata) const
void fill_edge_values(const typename Triangulation< dim, dim >::cell_iterator &cell, const Quadrature< dim > &quadrature, const InternalData &fedata) const
MappingKind mapping_kind
virtual double shape_value(const unsigned int i, const Point< dim > &p) const override
const unsigned int degree
Definition: fe_data.h:449
friend class InternalDataBase
Definition: fe.h:3063
Definition: point.h:111
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:457
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:458
UpdateFlags
MappingKind
Definition: mapping.h:72