Reference documentation for deal.II version Git 193422c69f 2020-07-08 17:07:46 +0200
\(\newcommand{\dealvcentcolon}{\mathrel{\mathop{:}}}\) \(\newcommand{\dealcoloneq}{\dealvcentcolon\mathrel{\mkern-1.2mu}=}\) \(\newcommand{\jump}[1]{\left[\!\left[ #1 \right]\!\right]}\) \(\newcommand{\average}[1]{\left\{\!\left\{ #1 \right\}\!\right\}}\)
polynomials_nedelec.h
Go to the documentation of this file.
1 // ---------------------------------------------------------------------
2 //
3 // Copyright (C) 2010 - 2019 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 
17 #ifndef dealii_polynomials_nedelec_h
18 #define dealii_polynomials_nedelec_h
19 
20 
21 #include <deal.II/base/config.h>
22 
24 #include <deal.II/base/point.h>
27 #include <deal.II/base/tensor.h>
30 
31 #include <vector>
32 
34 
50 template <int dim>
52 {
53 public:
61  PolynomialsNedelec(const unsigned int k);
62 
75  void
76  evaluate(const Point<dim> & unit_point,
77  std::vector<Tensor<1, dim>> &values,
78  std::vector<Tensor<2, dim>> &grads,
79  std::vector<Tensor<3, dim>> &grad_grads,
80  std::vector<Tensor<4, dim>> &third_derivatives,
81  std::vector<Tensor<5, dim>> &fourth_derivatives) const override;
82 
86  std::string
87  name() const override;
88 
94  static unsigned int
95  n_polynomials(const unsigned int degree);
96 
100  virtual std::unique_ptr<TensorPolynomialsBase<dim>>
101  clone() const override;
102 
103 private:
109 
114  static std::vector<std::vector<Polynomials::Polynomial<double>>>
115  create_polynomials(const unsigned int k);
116 };
117 
118 
119 template <int dim>
120 inline std::string
122 {
123  return "Nedelec";
124 }
125 
126 
128 
129 #endif
unsigned int degree() const
static unsigned int n_polynomials(const unsigned int degree)
std::string name() const override
const AnisotropicPolynomials< dim > polynomial_space
#define DEAL_II_NAMESPACE_CLOSE
Definition: config.h:363
PolynomialsNedelec(const unsigned int k)
virtual std::unique_ptr< TensorPolynomialsBase< dim > > clone() const override
#define DEAL_II_NAMESPACE_OPEN
Definition: config.h:362
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
static std::vector< std::vector< Polynomials::Polynomial< double > > > create_polynomials(const unsigned int k)