polynomials_raviart_thomas.h

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//
// Copyright (C) 2004 - 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
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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/point.h>
#include <deal.II/base/polynomial.h>
#include <deal.II/base/polynomial_space.h>
#include <deal.II/base/tensor.h>
#include <deal.II/base/tensor_product_polynomials.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