fe_q_hierarchical.h

Go to the documentation of this file.

// ---------------------------------------------------------------------
//
// Copyright (C) 2002 - 2020 by the deal.II authors
//
// This file is part of the deal.II library.
//
// The deal.II library is free software; you can use it, redistribute
// it, and/or modify it under the terms of the GNU Lesser General
// Public License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// The full text of the license can be found in the file LICENSE.md at
// the top level directory of deal.II.
//
// ---------------------------------------------------------------------
 
#ifndef dealii_fe_q_hierarchical_h
#define dealii_fe_q_hierarchical_h
 
#include <deal.II/base/config.h>
 
#include <deal.II/base/tensor_product_polynomials.h>
 
#include <deal.II/fe/fe_poly.h>
 
DEAL_II_NAMESPACE_OPEN
 
 
template <int dim>
class FE_Q_Hierarchical : public FE_Poly<dim>
{
public:
  FE_Q_Hierarchical(const unsigned int p);
 
  virtual std::string
  get_name() const override;
 
  virtual std::unique_ptr<FiniteElement<dim, dim>>
  clone() const override;
 
  virtual bool
  has_support_on_face(const unsigned int shape_index,
                      const unsigned int face_index) const override;
 
  virtual bool
  hp_constraints_are_implemented() const override;
 
  virtual void
  get_interpolation_matrix(const FiniteElement<dim> &source,
                           FullMatrix<double> &      matrix) const override;
 
  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_line_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 FiniteElementDomination::Domination
  compare_for_domination(const FiniteElement<dim> &fe_other,
                         const unsigned int codim = 0) const override final;
 
  virtual void
  get_face_interpolation_matrix(const FiniteElement<dim> &source,
                                FullMatrix<double> &      matrix,
                                const unsigned int face_no = 0) 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 std::size_t
  memory_consumption() const override;
 
  std::vector<unsigned int>
  get_embedding_dofs(const unsigned int sub_degree) const;
 
  virtual std::pair<Table<2, bool>, std::vector<unsigned int>>
  get_constant_modes() const override;
 
private:
  static std::vector<unsigned int>
  get_dpo_vector(const unsigned int degree);
 
  static std::vector<unsigned int>
  hierarchic_to_fe_q_hierarchical_numbering(const FiniteElementData<dim> &fe);
 
  static std::vector<unsigned int>
  face_fe_q_hierarchical_to_hierarchic_numbering(const unsigned int degree);
 
  void
  build_dofs_cell(std::vector<FullMatrix<double>> &dofs_cell,
                  std::vector<FullMatrix<double>> &dofs_subcell) const;
 
  void
  initialize_constraints(const std::vector<FullMatrix<double>> &dofs_subcell);
 
  void
  initialize_embedding_and_restriction(
    const std::vector<FullMatrix<double>> &dofs_cell,
    const std::vector<FullMatrix<double>> &dofs_subcell);
 
  void
  initialize_generalized_support_points();
 
  void
  initialize_generalized_face_support_points();
 
  const std::vector<unsigned int> face_renumber;
 
  // Allow access from other dimensions. We need this since we want to call
  // the functions @p get_dpo_vector and @p
  // lexicographic_to_hierarchic_numbering for the faces of the finite element
  // of dimension dim+1.
  template <int dim1>
  friend class FE_Q_Hierarchical;
};
 
/* -------------- declaration of explicit specializations ------------- */
 
template <>
void
FE_Q_Hierarchical<1>::initialize_generalized_face_support_points();
 
template <>
bool
FE_Q_Hierarchical<1>::has_support_on_face(const unsigned int,
                                          const unsigned int) const;
 
template <>
std::vector<unsigned int>
FE_Q_Hierarchical<1>::face_fe_q_hierarchical_to_hierarchic_numbering(
  const unsigned int);
 
DEAL_II_NAMESPACE_CLOSE
 
#endif