fe_raviart_thomas.h

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// ---------------------------------------------------------------------
//
// Copyright (C) 2003 - 2019 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.
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// the top level directory of deal.II.
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#ifndef dealii_fe_raviart_thomas_h
#define dealii_fe_raviart_thomas_h

#include <deal.II/base/config.h>

#include <deal.II/base/geometry_info.h>
#include <deal.II/base/polynomial.h>
#include <deal.II/base/polynomials_raviart_thomas.h>
#include <deal.II/base/table.h>
#include <deal.II/base/tensor_product_polynomials.h>

#include <deal.II/fe/fe.h>
#include <deal.II/fe/fe_poly_tensor.h>

#include <vector>

DEAL_II_NAMESPACE_OPEN


template <int dim>
class FE_RaviartThomas : public FE_PolyTensor<dim>
{
public:
  FE_RaviartThomas(const unsigned int p);

  virtual std::string
  get_name() const override;

  // documentation inherited from the base class
  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;

  // documentation inherited from the base class
  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 std::pair<Table<2, bool>, std::vector<unsigned int>>
  get_constant_modes() const override;

  virtual std::size_t
  memory_consumption() const override;

private:
  static std::vector<unsigned int>
  get_dpo_vector(const unsigned int degree);

  void
  initialize_support_points(const unsigned int rt_degree);

  void
  initialize_restriction();

  Table<2, double> boundary_weights;

  Table<3, double> interior_weights;

  // Allow access from other dimensions.
  template <int dim1>
  friend class FE_RaviartThomas;
};



template <int dim>
class FE_RaviartThomasNodal : public FE_PolyTensor<dim>
{
public:
  FE_RaviartThomasNodal(const unsigned int p);

  virtual std::string
  get_name() const override;

  // documentation inherited from the base class
  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 void
  get_face_interpolation_matrix(const FiniteElement<dim> &source,
                                FullMatrix<double> &matrix) const override;

  virtual void
  get_subface_interpolation_matrix(const FiniteElement<dim> &source,
                                   const unsigned int        subface,
                                   FullMatrix<double> &matrix) const override;
  virtual bool
  hp_constraints_are_implemented() 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 override;

  virtual FiniteElementDomination::Domination
  compare_for_domination(const FiniteElement<dim> &fe_other,
                         const unsigned int codim = 0) const override final;

private:
  static std::vector<unsigned int>
  get_dpo_vector(const unsigned int degree);

  static std::vector<bool>
  get_ria_vector(const unsigned int degree);

  virtual bool
  has_support_on_face(const unsigned int shape_index,
                      const unsigned int face_index) const override;
  void
  initialize_support_points(const unsigned int rt_degree);
};


/* -------------- declaration of explicit specializations ------------- */

#ifndef DOXYGEN

template <>
void
FE_RaviartThomas<1>::initialize_restriction();

#endif // DOXYGEN

DEAL_II_NAMESPACE_CLOSE

#endif