fe_simplex_p.h

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// -----------------------------------------------------------------------------
//
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception OR LGPL-2.1-or-later
// Copyright (C) 2021 - 2025 by the deal.II authors
//
// This file is part of the deal.II library.
//
// Detailed license information governing the source code and contributions
// can be found in LICENSE.md and CONTRIBUTING.md at the top level directory.
//
// -----------------------------------------------------------------------------
 
#ifndef dealii_fe_fe_p_h
#define dealii_fe_fe_p_h
 
#include <deal.II/base/config.h>
 
#include <deal.II/base/mutex.h>
#include <deal.II/base/polynomials_barycentric.h>
#include <deal.II/base/types.h>
 
#include <deal.II/fe/fe_poly.h>
 
DEAL_II_NAMESPACE_OPEN
 
template <int dim, int spacedim = dim>
class FE_SimplexPoly : public ::FE_Poly<dim, spacedim>
{
public:
  FE_SimplexPoly(
    const BarycentricPolynomials<dim>              polynomials,
    const FiniteElementData<dim>                  &fe_data,
    const bool                                     prolongation_is_additive,
    const std::vector<Point<dim>>                 &unit_support_points,
    const std::vector<std::vector<Point<dim - 1>>> unit_face_support_points,
    const FullMatrix<double>                      &interface_constraints);
 
  virtual std::pair<Table<2, bool>, std::vector<unsigned int>>
  get_constant_modes() 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 unsigned int
  face_to_cell_index(const unsigned int                 face_dof_index,
                     const unsigned int                 face,
                     const types::geometric_orientation combined_orientation =
                       numbers::default_geometric_orientation) const override;
 
  virtual const FullMatrix<double> &
  get_restriction_matrix(
    const unsigned int         child,
    const RefinementCase<dim> &refinement_case =
      RefinementCase<dim>::isotropic_refinement) const override;
 
  void
  get_face_interpolation_matrix(const FiniteElement<dim, spacedim> &source_fe,
                                FullMatrix<double> &interpolation_matrix,
                                const unsigned int  face_no) const override;
 
  void
  get_subface_interpolation_matrix(
    const FiniteElement<dim, spacedim> &x_source_fe,
    const unsigned int                  subface,
    FullMatrix<double>                 &interpolation_matrix,
    const unsigned int                  face_no) const override;
 
  bool
  hp_constraints_are_implemented() 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;
 
protected:
  mutable Threads::Mutex restriction_matrix_mutex;
  mutable Threads::Mutex prolongation_matrix_mutex;
};
 
 
 
template <int dim, int spacedim = dim>
class FE_SimplexP : public FE_SimplexPoly<dim, spacedim>
{
public:
  FE_SimplexP(const unsigned int degree);
 
  std::unique_ptr<FiniteElement<dim, spacedim>>
  clone() const override;
 
  std::string
  get_name() const override;
 
  FiniteElementDomination::Domination
  compare_for_domination(const FiniteElement<dim, spacedim> &fe_other,
                         const unsigned int codim) const override;
 
  std::vector<std::pair<unsigned int, unsigned int>>
  hp_vertex_dof_identities(
    const FiniteElement<dim, spacedim> &fe_other) const override;
 
  std::vector<std::pair<unsigned int, unsigned int>>
  hp_line_dof_identities(
    const FiniteElement<dim, spacedim> &fe_other) const override;
 
  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;
};
 
 
 
template <int dim, int spacedim = dim>
class FE_SimplexDGP : public FE_SimplexPoly<dim, spacedim>
{
public:
  FE_SimplexDGP(const unsigned int degree);
 
  std::unique_ptr<FiniteElement<dim, spacedim>>
  clone() const override;
 
  std::string
  get_name() const override;
 
  FiniteElementDomination::Domination
  compare_for_domination(const FiniteElement<dim, spacedim> &fe_other,
                         const unsigned int codim) const override;
 
  std::vector<std::pair<unsigned int, unsigned int>>
  hp_vertex_dof_identities(
    const FiniteElement<dim, spacedim> &fe_other) const override;
 
  std::vector<std::pair<unsigned int, unsigned int>>
  hp_line_dof_identities(
    const FiniteElement<dim, spacedim> &fe_other) const override;
 
  virtual const FullMatrix<double> &
  get_restriction_matrix(
    const unsigned int         child,
    const RefinementCase<dim> &refinement_case =
      RefinementCase<dim>::isotropic_refinement) const override;
};
 
DEAL_II_NAMESPACE_CLOSE
 
#endif