Reference documentation for deal.II version 9.5.0
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polynomials_raviart_thomas.h
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1// ---------------------------------------------------------------------
2//
3// Copyright (C) 2004 - 2023 by the deal.II authors
4//
5// This file is part of the deal.II library.
6//
7// The deal.II library is free software; you can use it, redistribute
8// it, and/or modify it under the terms of the GNU Lesser General
9// Public License as published by the Free Software Foundation; either
10// version 2.1 of the License, or (at your option) any later version.
11// The full text of the license can be found in the file LICENSE.md at
12// the top level directory of deal.II.
13//
14// ---------------------------------------------------------------------
15
16#ifndef dealii_polynomials_raviart_thomas_h
17#define dealii_polynomials_raviart_thomas_h
18
19
20#include <deal.II/base/config.h>
21
23#include <deal.II/base/point.h>
26#include <deal.II/base/tensor.h>
29
30#include <mutex>
31#include <vector>
32
33
35
49template <int dim>
51{
52public:
59 PolynomialsRaviartThomas(const unsigned int degree_normal,
60 const unsigned int degree_tangential);
61
70 PolynomialsRaviartThomas(const unsigned int k);
71
76
89 void
90 evaluate(const Point<dim> & unit_point,
91 std::vector<Tensor<1, dim>> &values,
92 std::vector<Tensor<2, dim>> &grads,
93 std::vector<Tensor<3, dim>> &grad_grads,
94 std::vector<Tensor<4, dim>> &third_derivatives,
95 std::vector<Tensor<5, dim>> &fourth_derivatives) const override;
96
100 std::string
101 name() const override;
102
108 static unsigned int
109 n_polynomials(const unsigned int normal_degree,
110 const unsigned int tangential_degree);
111
117 static unsigned int
118 n_polynomials(const unsigned int degree);
119
124 static std::vector<unsigned int>
126 const unsigned int tangential_degree);
127
131 virtual std::unique_ptr<TensorPolynomialsBase<dim>>
132 clone() const override;
133
141 std::vector<Point<dim>>
143
144private:
148 const unsigned int normal_degree;
149
153 const unsigned int tangential_degree;
154
160
164 std::vector<unsigned int> lexicographic_to_hierarchic;
165
170 std::vector<unsigned int> hierarchic_to_lexicographic;
171
175 std::array<std::vector<unsigned int>, dim> renumber_aniso;
176};
177
178
180
181#endif
Definition point.h:112
static std::vector< unsigned int > get_lexicographic_numbering(const unsigned int normal_degree, const unsigned int tangential_degree)
PolynomialsRaviartThomas(const PolynomialsRaviartThomas &other)=default
std::array< std::vector< unsigned int >, dim > renumber_aniso
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)
std::vector< unsigned int > lexicographic_to_hierarchic
std::vector< unsigned int > hierarchic_to_lexicographic
virtual std::unique_ptr< TensorPolynomialsBase< dim > > clone() const override
const AnisotropicPolynomials< dim > polynomial_space
std::vector< Point< dim > > get_polynomial_support_points() const
#define DEAL_II_NAMESPACE_OPEN
Definition config.h:472
#define DEAL_II_NAMESPACE_CLOSE
Definition config.h:473