fe_bernstein.h

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// ---------------------------------------------------------------------
//
// Copyright (C) 2000 - 2022 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.
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#ifndef dealii_fe_bernstein_h
#define dealii_fe_bernstein_h
 
#include <deal.II/base/config.h>
 
#include <deal.II/base/tensor_product_polynomials.h>
 
#include <deal.II/fe/fe_q_base.h>
 
DEAL_II_NAMESPACE_OPEN
 
 
template <int dim, int spacedim = dim>
class FE_Bernstein : public FE_Q_Base<dim, spacedim>
{
public:
  FE_Bernstein(const unsigned int p);
 
  virtual void
  get_interpolation_matrix(const FiniteElement<dim, spacedim> &source,
                           FullMatrix<double> &matrix) const override;
 
  virtual const FullMatrix<double> &
  get_restriction_matrix(
    const unsigned int         child,
    const RefinementCase<dim> &refinement_case =
      RefinementCase<dim>::isotropic_refinement) 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 void
  get_face_interpolation_matrix(const FiniteElement<dim, spacedim> &source,
                                FullMatrix<double> &                matrix,
                                const unsigned int face_no = 0) const override;
 
  virtual void
  get_subface_interpolation_matrix(
    const FiniteElement<dim, spacedim> &source,
    const unsigned int                  subface,
    FullMatrix<double> &                matrix,
    const unsigned int                  face_no = 0) 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, spacedim> &fe_other) const override;
 
  virtual std::vector<std::pair<unsigned int, unsigned int>>
  hp_line_dof_identities(
    const FiniteElement<dim, spacedim> &fe_other) const override;
 
  virtual std::vector<std::pair<unsigned int, unsigned int>>
  hp_quad_dof_identities(const FiniteElement<dim, spacedim> &fe_other,
                         const unsigned int face_no = 0) const override;
 
  virtual FiniteElementDomination::Domination
  compare_for_domination(const FiniteElement<dim, spacedim> &fe_other,
                         const unsigned int codim = 0) const override final;
 
  virtual std::string
  get_name() const override;
 
  virtual std::unique_ptr<FiniteElement<dim, spacedim>>
  clone() const override;
 
protected:
  static std::vector<unsigned int>
  get_dpo_vector(const unsigned int degree);
 
  TensorProductPolynomials<dim>
  renumber_bases(const unsigned int degree);
};
 
 
 
DEAL_II_NAMESPACE_CLOSE
 
#endif