polynomials_raviart_thomas.h

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// ------------------------------------------------------------------------
//
// SPDX-License-Identifier: LGPL-2.1-or-later
// Copyright (C) 2004 - 2023 by the deal.II authors
//
// This file is part of the deal.II library.
//
// Part of the source code is dual licensed under Apache-2.0 WITH
// LLVM-exception OR LGPL-2.1-or-later. Detailed license information
// governing the source code and code contributions can be found in
// LICENSE.md and CONTRIBUTING.md at the top level directory of deal.II.
//
// ------------------------------------------------------------------------
 
#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_polynomials_base.h>
#include <deal.II/base/tensor_product_polynomials.h>
 
#include <mutex>
#include <vector>
 
 
DEAL_II_NAMESPACE_OPEN
 
template <int dim>
class PolynomialsRaviartThomas : public TensorPolynomialsBase<dim>
{
public:
  PolynomialsRaviartThomas(const unsigned int degree_normal,
                           const unsigned int degree_tangential);
 
  PolynomialsRaviartThomas(const unsigned int k);
 
  PolynomialsRaviartThomas(const PolynomialsRaviartThomas &other) = default;
 
  void
  evaluate(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 override;
 
  std::string
  name() const override;
 
  static unsigned int
  n_polynomials(const unsigned int normal_degree,
                const unsigned int tangential_degree);
 
  static unsigned int
  n_polynomials(const unsigned int degree);
 
  static std::vector<unsigned int>
  get_lexicographic_numbering(const unsigned int normal_degree,
                              const unsigned int tangential_degree);
 
  virtual std::unique_ptr<TensorPolynomialsBase<dim>>
  clone() const override;
 
  std::vector<Point<dim>>
  get_polynomial_support_points() const;
 
private:
  const unsigned int normal_degree;
 
  const unsigned int tangential_degree;
 
  const AnisotropicPolynomials<dim> polynomial_space;
 
  std::vector<unsigned int> lexicographic_to_hierarchic;
 
  std::vector<unsigned int> hierarchic_to_lexicographic;
 
  std::array<std::vector<unsigned int>, dim> renumber_aniso;
};
 
 
DEAL_II_NAMESPACE_CLOSE
 
#endif