fe_nedelec.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2002 - 2018 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 at
// the top level of the deal.II distribution.
//
// ---------------------------------------------------------------------

#ifndef dealii_fe_nedelec_h
#define dealii_fe_nedelec_h

#include <deal.II/base/config.h>
#include <deal.II/base/table.h>
#include <deal.II/base/tensor.h>
#include <deal.II/base/tensor.h>
#include <deal.II/base/polynomials_nedelec.h>
#include <deal.II/base/polynomial.h>
#include <deal.II/base/tensor_product_polynomials.h>
#include <deal.II/base/geometry_info.h>
#include <deal.II/base/thread_management.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_Nedelec : public FE_PolyTensor<PolynomialsNedelec<dim>, dim>
{
public:
  FE_Nedelec (const unsigned int order);

  virtual std::string get_name () const;


  virtual bool has_support_on_face (const unsigned int shape_index,
                                    const unsigned int face_index) const;

  virtual bool hp_constraints_are_implemented () const;

  virtual FiniteElementDomination::Domination
  compare_for_face_domination (const FiniteElement<dim> &fe_other) const;

  virtual std::vector<std::pair<unsigned int, unsigned int> >
  hp_vertex_dof_identities (const FiniteElement<dim> &fe_other) const;

  virtual std::vector<std::pair<unsigned int, unsigned int> >
  hp_line_dof_identities (const FiniteElement<dim> &fe_other) const;

  virtual std::vector<std::pair<unsigned int, unsigned int> >
  hp_quad_dof_identities (const FiniteElement<dim> &fe_other) const;

  virtual void
  get_face_interpolation_matrix (const FiniteElement<dim> &source,
                                 FullMatrix<double> &matrix) const;

  virtual void
  get_subface_interpolation_matrix (const FiniteElement<dim> &source,
                                    const unsigned int subface,
                                    FullMatrix<double> &matrix) const;
  virtual const FullMatrix<double> &
  get_restriction_matrix (const unsigned int child,
                          const RefinementCase<dim> &refinement_case=RefinementCase<dim>::isotropic_refinement) const;

  virtual const FullMatrix<double> &
  get_prolongation_matrix (const unsigned int child,
                           const RefinementCase<dim> &refinement_case=RefinementCase<dim>::isotropic_refinement) const;

  // 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;

  virtual std::pair<Table<2,bool>, std::vector<unsigned int> >
  get_constant_modes () const;

  virtual std::size_t memory_consumption () const;

  virtual
  std::unique_ptr<FiniteElement<dim,dim> >
  clone() const;

private:
  static std::vector<unsigned int>
  get_dpo_vector (const unsigned int degree, bool dg=false);

  void initialize_support_points (const unsigned int order);

  void initialize_restriction ();

  Table<2, double> boundary_weights;

  /*
   * Mutex for protecting initialization of restriction and embedding matrix.
   */
  mutable Threads::Mutex mutex;

  template <int dim1> friend class FE_Nedelec;
};

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

#ifndef DOXYGEN

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

#endif // DOXYGEN

DEAL_II_NAMESPACE_CLOSE

#endif