polynomials_raviart_thomas.h

// ---------------------------------------------------------------------
//
// Copyright (C) 2004 - 2017 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 of the deal.II distribution.
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#ifndef dealii_polynomials_raviart_thomas_h
#define dealii_polynomials_raviart_thomas_h


#include <deal.II/base/config.h>
#include <deal.II/base/exceptions.h>
#include <deal.II/base/tensor.h>
#include <deal.II/base/point.h>
#include <deal.II/base/polynomial.h>
#include <deal.II/base/polynomial_space.h>
#include <deal.II/base/tensor_product_polynomials.h>
#include <deal.II/base/table.h>

#include <vector>

DEAL_II_NAMESPACE_OPEN

template <int dim>
class PolynomialsRaviartThomas
{
public:
  PolynomialsRaviartThomas (const unsigned int k);

  void compute (const Point<dim>            &unit_point,
                std::vector<Tensor<1,dim> > &values,
                std::vector<Tensor<2,dim> > &grads,
                std::vector<Tensor<3,dim> > &grad_grads,
                std::vector<Tensor<4,dim> > &third_derivatives,
                std::vector<Tensor<5,dim> > &fourth_derivatives) const;

  unsigned int n () const;

  unsigned int degree () const;

  std::string name () const;

  static unsigned int compute_n_pols(unsigned int degree);

private:
  const unsigned int my_degree;

  const AnisotropicPolynomials<dim> polynomial_space;

  const unsigned int n_pols;

  static
  std::vector<std::vector< Polynomials::Polynomial< double > > >
  create_polynomials (const unsigned int k);
};



template <int dim>
inline unsigned int
PolynomialsRaviartThomas<dim>::n() const
{
  return n_pols;
}



template <int dim>
inline unsigned int
PolynomialsRaviartThomas<dim>::degree() const
{
  return my_degree;
}



template <int dim>
inline std::string
PolynomialsRaviartThomas<dim>::name() const
{
  return "RaviartThomas";
}


DEAL_II_NAMESPACE_CLOSE

#endif