dune-localfunctions 3.0-git
brezzidouglasmarini2simplex2dlocalinterpolation.hh
Go to the documentation of this file.
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_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALINTERPOLATION_HH
4#define DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALINTERPOLATION_HH
5
6#include <vector>
7
8#include <dune/geometry/quadraturerules.hh>
9
10namespace Dune
11{
12
21 template<class LB>
23 {
24
25 public:
28 {
29 sign0 = sign1 = sign2 = 1.0;
30 }
31
38 {
39 sign0 = sign1 = sign2 = 1.0;
40 if (s & 1)
41 {
42 sign0 = -1.0;
43 }
44 if (s & 2)
45 {
46 sign1 = -1.0;
47 }
48 if (s & 4)
49 {
50 sign2 = -1.0;
51 }
52
53 m0[0] = 0.5;
54 m0[1] = 0.0;
55 m1[0] = 0.0;
56 m1[1] = 0.5;
57 m2[0] = 0.5;
58 m2[1] = 0.5;
59 n0[0] = 0.0;
60 n0[1] = -1.0;
61 n1[0] = -1.0;
62 n1[1] = 0.0;
63 n2[0] = 1.0/sqrt(2.0);
64 n2[1] = 1.0/sqrt(2.0);
65 c0 = 0.5*n0[0] - 1.0*n0[1];
66 c1 = -1.0*n1[0] + 0.5*n1[1];
67 c2 = 0.5*n2[0] + 0.5*n2[1];
68 }
69
78 template<typename F, typename C>
79 void interpolate(const F& f, std::vector<C>& out) const
80 {
81 // f gives v*outer normal at a point on the edge!
82 typedef typename LB::Traits::RangeFieldType Scalar;
83 typename F::Traits::RangeType y;
84
85 out.resize(12);
86 fill(out.begin(), out.end(), 0.0);
87
88 const int qOrder = 4;
89 const Dune::QuadratureRule<Scalar,1>& rule = Dune::QuadratureRules<Scalar,1>::rule(Dune::GeometryType(Dune::GeometryType::simplex,1), qOrder);
90
91 for (typename Dune::QuadratureRule<Scalar,1>::const_iterator it=rule.begin(); it!=rule.end(); ++it)
92 {
93 // TODO: write interpolation
94 }
95 }
96
97 private:
98 typename LB::Traits::RangeFieldType sign0, sign1, sign2;
99 typename LB::Traits::DomainType m0, m1, m2;
100 typename LB::Traits::DomainType n0, n1, n2;
101 typename LB::Traits::RangeFieldType c0, c1, c2;
102 };
103} // end namespace Dune
104#endif // DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_SIMPLEX2D_LOCALINTERPOLATION_HH
Definition brezzidouglasmarini1cube2d.hh:14
First order Brezzi-Douglas-Marini shape functions on triangles.
Definition brezzidouglasmarini2simplex2dlocalinterpolation.hh:23
BDM2Simplex2DLocalInterpolation()
Standard constructor.
Definition brezzidouglasmarini2simplex2dlocalinterpolation.hh:27
void interpolate(const F &f, std::vector< C > &out) const
Interpolate a given function with shape functions.
Definition brezzidouglasmarini2simplex2dlocalinterpolation.hh:79
BDM2Simplex2DLocalInterpolation(unsigned int s)
Make set number s, where 0 <= s < 8.
Definition brezzidouglasmarini2simplex2dlocalinterpolation.hh:37