DUNE-FEM (unstable)

brezzidouglasmarini1simplex2dlocalinterpolation.hh
1// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2// vi: set et ts=4 sw=2 sts=2:
3// SPDX-FileCopyrightInfo: Copyright © DUNE Project contributors, see file LICENSE.md in module root
4// SPDX-License-Identifier: LicenseRef-GPL-2.0-only-with-DUNE-exception
5#ifndef DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALINTERPOLATION_HH
6#define DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALINTERPOLATION_HH
7
8#include <vector>
9
11
12namespace Dune
13{
22 template<class LB>
24 {
25
26 public:
29 {
30 sign0 = sign1 = sign2 = 1.0;
31 }
32
39 {
40 using std::sqrt;
41 sign0 = sign1 = sign2 = 1.0;
42 if (s & 1)
43 {
44 sign0 = -1.0;
45 }
46 if (s & 2)
47 {
48 sign1 = -1.0;
49 }
50 if (s & 4)
51 {
52 sign2 = -1.0;
53 }
54
55 n0[0] = 0.0;
56 n0[1] = -1.0;
57 n1[0] = -1.0;
58 n1[1] = 0.0;
59 n2[0] = 1.0/sqrt(2.0);
60 n2[1] = 1.0/sqrt(2.0);
61 c0 = 0.5*n0[0] - 1.0*n0[1];
62 c1 = -1.0*n1[0] + 0.5*n1[1];
63 c2 = 0.5*n2[0] + 0.5*n2[1];
64 }
65
74 template<typename F, typename C>
75 void interpolate (const F& f, std::vector<C>& out) const
76 {
77 // f gives v*outer normal at a point on the edge!
78 typedef typename LB::Traits::RangeFieldType Scalar;
79
80 out.resize(6);
81 fill(out.begin(), out.end(), 0.0);
82
83 const int qOrder = 4;
85
86 for (typename Dune::QuadratureRule<Scalar,1>::const_iterator it=rule.begin(); it!=rule.end(); ++it)
87 {
88 Scalar qPos = it->position();
89 typename LB::Traits::DomainType localPos;
90
91 localPos[0] = qPos;
92 localPos[1] = 0.0;
93 auto y = f(localPos);
94 out[0] += (y[0]*n0[0] + y[1]*n0[1])*it->weight()*sign0/c0;
95 out[3] += (y[0]*n0[0] + y[1]*n0[1])*(2.0*qPos - 1.0)*it->weight()/c0;
96
97 localPos[0] = 0.0;
98 localPos[1] = qPos;
99 y = f(localPos);
100 out[1] += (y[0]*n1[0] + y[1]*n1[1])*it->weight()*sign1/c1;
101 out[4] += (y[0]*n1[0] + y[1]*n1[1])*(1.0 - 2.0*qPos)*it->weight()/c1;
102
103 localPos[0] = 1.0 - qPos;
104 localPos[1] = qPos;
105 y = f(localPos);
106 out[2] += (y[0]*n2[0] + y[1]*n2[1])*it->weight()*sign2/c2;
107 out[5] += (y[0]*n2[0] + y[1]*n2[1])*(2.0*qPos - 1.0)*it->weight()/c2;
108 }
109 }
110
111 private:
112 typename LB::Traits::RangeFieldType sign0,sign1,sign2;
113 typename LB::Traits::DomainType n0,n1,n2;
114 typename LB::Traits::RangeFieldType c0,c1,c2;
115 };
116}
117
118#endif // DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1_SIMPLEX2D_LOCALINTERPOLATION_HH
First order Brezzi-Douglas-Marini shape functions on the reference triangle.
Definition: brezzidouglasmarini1simplex2dlocalinterpolation.hh:24
void interpolate(const F &f, std::vector< C > &out) const
Interpolate a given function with shape functions.
Definition: brezzidouglasmarini1simplex2dlocalinterpolation.hh:75
BDM1Simplex2DLocalInterpolation(unsigned int s)
Make set number s, where 0 <= s < 8.
Definition: brezzidouglasmarini1simplex2dlocalinterpolation.hh:38
BDM1Simplex2DLocalInterpolation()
Standard constructor.
Definition: brezzidouglasmarini1simplex2dlocalinterpolation.hh:28
Abstract base class for quadrature rules.
Definition: quadraturerules.hh:214
static const QuadratureRule & rule(const GeometryType &t, int p, QuadratureType::Enum qt=QuadratureType::GaussLegendre)
select the appropriate QuadratureRule for GeometryType t and order p
Definition: quadraturerules.hh:326
constexpr GeometryType simplex(unsigned int dim)
Returns a GeometryType representing a simplex of dimension dim.
Definition: type.hh:453
typename Overloads::ScalarType< std::decay_t< V > >::type Scalar
Element type of some SIMD type.
Definition: interface.hh:235
Dune namespace.
Definition: alignedallocator.hh:13
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