1 #ifndef DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1Q2DLOCALINTERPOLATION_HH
2 #define DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1Q2DLOCALINTERPOLATION_HH
6 #include <dune/geometry/quadraturerules.hh>
28 sign0 = sign1 = sign2 = sign3 = 1.0;
38 sign0 = sign1 = sign2 = sign3 = 1.0;
74 template<
class F,
class C>
78 typedef typename LB::Traits::RangeFieldType Scalar;
79 typedef typename LB::Traits::DomainFieldType Vector;
80 typename F::Traits::RangeType y;
83 fill(out.begin(), out.end(), 0.0);
86 const QuadratureRule<Scalar,1>& rule1 = QuadratureRules<Scalar,1>::rule(GeometryType(GeometryType::cube,1), qOrder);
88 for (
typename QuadratureRule<Scalar,1>::const_iterator it = rule1.begin();
89 it != rule1.end(); ++it)
91 Scalar qPos = it->position();
92 typename LB::Traits::DomainType localPos;
96 f.evaluate(localPos, y);
97 out[0] += (y[0]*n0[0] + y[1]*n0[1])*it->weight()*sign0;
98 out[1] += (y[0]*n0[0] + y[1]*n0[1])*(2.0*qPos - 1.0)*it->weight();
102 f.evaluate(localPos, y);
103 out[2] += (y[0]*n1[0] + y[1]*n1[1])*it->weight()*sign1;
104 out[3] += (y[0]*n1[0] + y[1]*n1[1])*(1.0 - 2.0*qPos)*it->weight();
108 f.evaluate(localPos, y);
109 out[4] += (y[0]*n2[0] + y[1]*n2[1])*it->weight()*sign2;
110 out[5] += (y[0]*n2[0] + y[1]*n2[1])*(1.0 - 2.0*qPos)*it->weight();
114 f.evaluate(localPos, y);
115 out[6] += (y[0]*n3[0] + y[1]*n3[1])*it->weight()*sign3;
116 out[7] += (y[0]*n3[0] + y[1]*n3[1])*(2.0*qPos - 1.0)*it->weight();
119 const QuadratureRule<Vector,2>& rule2 = QuadratureRules<Vector,2>::rule(GeometryType(GeometryType::cube,2), qOrder);
121 for (
typename QuadratureRule<Vector,2>::const_iterator it=rule2.begin(); it!=rule2.end(); ++it)
123 FieldVector<double,2> qPos = it->position();
126 out[8] += y[0]*it->weight();
127 out[9] += y[1]*it->weight();
128 out[10] += y[0]*qPos[1]*it->weight();
129 out[11] += y[1]*qPos[0]*it->weight();
134 typename LB::Traits::RangeFieldType sign0, sign1, sign2, sign3;
135 typename LB::Traits::DomainType n0, n1, n2, n3;
138 #endif // DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1Q2DLOCALINTERPOLATION_HH