Dune Core Modules (2.8.0)

raviartthomas02dlocalbasis.hh
1// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2// vi: set et ts=4 sw=2 sts=2:
3#ifndef DUNE_RT0TRIANGLELOCALBASIS_HH
4#define DUNE_RT0TRIANGLELOCALBASIS_HH
5
6#include <numeric>
7
9
10#include <dune/localfunctions/common/localbasis.hh>
11
12namespace Dune
13{
22 template<class D, class R>
24 {
25 public:
28
30 RT02DLocalBasis (std::bitset<3> s = 0)
31 {
32 for (int i=0; i<3; i++)
33 sign_[i] = s[i] ? -1.0 : 1.0;
34 }
35
37 unsigned int size () const
38 {
39 return 3;
40 }
41
43 inline void evaluateFunction (const typename Traits::DomainType& in,
44 std::vector<typename Traits::RangeType>& out) const
45 {
46 out.resize(3);
47 out[0] = {sign_[0]*in[0], sign_[0]*(in[1]-D(1))};
48 out[1] = {sign_[1]*(in[0]-D(1)), sign_[1]*in[1]};
49 out[2] = {sign_[2]*in[0], sign_[2]*in[1]};
50 }
51
53 inline void
54 evaluateJacobian (const typename Traits::DomainType& in, // position
55 std::vector<typename Traits::JacobianType>& out) const // return value
56 {
57 out.resize(3);
58 for (int i=0; i<3; i++)
59 {
60 out[i][0] = {sign_[i], 0};
61 out[i][1] = { 0, sign_[i]};
62 }
63 }
64
66 void partial (const std::array<unsigned int, 2>& order,
67 const typename Traits::DomainType& in, // position
68 std::vector<typename Traits::RangeType>& out) const // return value
69 {
70 auto totalOrder = std::accumulate(order.begin(), order.end(), 0);
71 if (totalOrder == 0) {
72 evaluateFunction(in, out);
73 } else if (totalOrder == 1) {
74 auto const direction = std::distance(order.begin(), std::find(order.begin(), order.end(), 1));
75 out.resize(size());
76
77 for (int i=0; i<3; i++)
78 {
79 out[i][direction] = sign_[i];
80 out[i][1-direction] = 0;
81 }
82 } else {
83 out.resize(size());
84 for (std::size_t i = 0; i < size(); ++i)
85 for (std::size_t j = 0; j < 2; ++j)
86 out[i][j] = 0;
87 }
88
89 }
90
92 unsigned int order () const
93 {
94 return 1;
95 }
96
97 private:
98
99 // Signs of the edge normals
100 std::array<R,3> sign_;
101 };
102}
103#endif
A dense n x m matrix.
Definition: fmatrix.hh:69
vector space out of a tensor product of fields.
Definition: fvector.hh:95
Lowest order Raviart-Thomas shape functions on the reference triangle.
Definition: raviartthomas02dlocalbasis.hh:24
unsigned int order() const
Polynomial order of the shape functions.
Definition: raviartthomas02dlocalbasis.hh:92
void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
Evaluate Jacobian of all shape functions.
Definition: raviartthomas02dlocalbasis.hh:54
void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate all shape functions.
Definition: raviartthomas02dlocalbasis.hh:43
unsigned int size() const
number of shape functions
Definition: raviartthomas02dlocalbasis.hh:37
RT02DLocalBasis(std::bitset< 3 > s=0)
Make set number s, where 0 <= s < 8.
Definition: raviartthomas02dlocalbasis.hh:30
void partial(const std::array< unsigned int, 2 > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
Evaluate partial derivatives of all shape functions.
Definition: raviartthomas02dlocalbasis.hh:66
Implements a matrix constructed from a given type representing a field and compile-time given number ...
constexpr T accumulate(Range &&range, T value, F &&f)
Accumulate values.
Definition: hybridutilities.hh:289
Dune namespace.
Definition: alignedallocator.hh:11
Type traits for LocalBasisVirtualInterface.
Definition: localbasis.hh:32
D DomainType
domain type
Definition: localbasis.hh:43
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