84 typedef typename LB::Traits::RangeFieldType Scalar;
85 typedef typename LB::Traits::DomainFieldType Vector;
88 fill(out.begin(), out.end(), 0.0);
91 const Dune::QuadratureRule<Scalar,1>& rule = Dune::QuadratureRules<Scalar,1>::rule(Dune::GeometryTypes::simplex(1), qOrder);
93 for (
typename Dune::QuadratureRule<Scalar,1>::const_iterator it=rule.begin(); it!=rule.end(); ++it)
95 Scalar qPos = it->position();
97 typename LB::Traits::DomainType localPos;
101 auto y = f(localPos);
102 out[0] += (y[0]*n0[0] + y[1]*n0[1])*it->weight()*sign0/c0;
103 out[1] += (y[0]*n0[0] + y[1]*n0[1])*(1.0 - 2.0*qPos)*it->weight()/c0;
104 out[2] += (y[0]*n0[0] + y[1]*n0[1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*it->weight()*sign0/c0;
109 out[3] += (y[0]*n1[0]+y[1]*n1[1])*it->weight()*sign1/c1;
110 out[4] += (y[0]*n1[0]+y[1]*n1[1])*(2.0*qPos-1.0)*it->weight()/c1;
111 out[5] += (y[0]*n1[0]+y[1]*n1[1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*it->weight()*sign1/c1;
113 localPos[0] = 1.0 - qPos;
116 out[6] += (y[0]*n2[0] + y[1]*n2[1])*it->weight()*sign2/c2;
117 out[7] += (y[0]*n2[0] + y[1]*n2[1])*(1.0 - 2.0*qPos)*it->weight()/c2;
118 out[8] += (y[0]*n2[0] + y[1]*n2[1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*it->weight()*sign2/c2;
122 const QuadratureRule<Vector,2>& rule2 = QuadratureRules<Vector,2>::rule(GeometryTypes::simplex(2), qOrder);
124 for (
typename QuadratureRule<Vector,2>::const_iterator it=rule2.begin(); it!=rule2.end(); ++it)
126 typename LB::Traits::DomainType localPos = it->position();
127 auto y = f(localPos);
129 out[9] += y[0]*it->weight();
130 out[10] += y[1]*it->weight();
131 out[11] += (y[0]*(localPos[0]-2.0*localPos[0]*localPos[1]-localPos[0]*localPos[0])
132 +y[1]*(-localPos[1]+2.0*localPos[0]*localPos[1]+localPos[1]*localPos[1]))*it->weight();