fe_trace.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2000 - 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_trace_h
#define dealii_fe_trace_h

#include <deal.II/base/config.h>
#include <deal.II/base/tensor_product_polynomials.h>
#include <deal.II/fe/fe_poly_face.h>
#include <deal.II/fe/fe_q.h>
#include <deal.II/fe/fe_face.h>

DEAL_II_NAMESPACE_OPEN

template <int dim, int spacedim=dim>
class FE_TraceQ : public FE_PolyFace<TensorProductPolynomials<dim-1>, dim, spacedim>
{
public:
  FE_TraceQ(unsigned int p);

  virtual std::string get_name () const;

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

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

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

  virtual bool hp_constraints_are_implemented () const;

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

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

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

private:
  FE_Q<dim, spacedim> fe_q;

  static std::vector<unsigned int> get_dpo_vector (const unsigned int deg);
};



template <int spacedim>
class FE_TraceQ<1,spacedim> : public FE_FaceQ<1,spacedim>
{
public:
  FE_TraceQ (const unsigned int p);

  std::string get_name() const;
};


DEAL_II_NAMESPACE_CLOSE

#endif