1 #ifndef DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1Q2DLOCALINTERPOLATION_HH
2 #define DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1Q2DLOCALINTERPOLATION_HH
6 #include <dune/geometry/quadraturerules.hh>
27 sign0 = sign1 = sign2 = sign3 = 1.0;
37 sign0 = sign1 = sign2 = sign3 = 1.0;
73 template<
typename F,
typename C>
77 typedef typename LB::Traits::RangeFieldType Scalar;
78 typedef typename LB::Traits::DomainFieldType Vector;
79 typename F::Traits::RangeType y;
82 fill(out.begin(), out.end(), 0.0);
85 const QuadratureRule<Scalar,1>& rule = QuadratureRules<Scalar,1>::rule(GeometryType(GeometryType::cube,1), qOrder);
87 for (
typename QuadratureRule<Scalar,1>::const_iterator it = rule.begin();
88 it != rule.end(); ++it)
90 Scalar qPos = it->position();
91 typename LB::Traits::DomainType localPos;
95 f.evaluate(localPos, y);
96 out[0] += (y[0]*n0[0] + y[1]*n0[1])*it->weight()*sign0;
97 out[1] += (y[0]*n0[0] + y[1]*n0[1])*(2.0*qPos - 1.0)*it->weight();
101 f.evaluate(localPos, y);
102 out[2] += (y[0]*n1[0] + y[1]*n1[1])*it->weight()*sign1;
103 out[3] += (y[0]*n1[0] + y[1]*n1[1])*(1.0 - 2.0*qPos)*it->weight();
107 f.evaluate(localPos, y);
108 out[4] += (y[0]*n2[0] + y[1]*n2[1])*it->weight()*sign2;
109 out[5] += (y[0]*n2[0] + y[1]*n2[1])*(1.0 - 2.0*qPos)*it->weight();
113 f.evaluate(localPos, y);
114 out[6] += (y[0]*n3[0] + y[1]*n3[1])*it->weight()*sign3;
115 out[7] += (y[0]*n3[0] + y[1]*n3[1])*(2.0*qPos - 1.0)*it->weight();
120 typename LB::Traits::RangeFieldType sign0, sign1, sign2, sign3;
121 typename LB::Traits::DomainType n0, n1, n2, n3;
124 #endif // DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1Q2DLOCALINTERPOLATION_HH