58 typedef typename LB::Traits::RangeFieldType Scalar;
59 typedef typename LB::Traits::DomainFieldType Vector;
61 auto&& f = Impl::makeFunctionWithCallOperator<typename LB::Traits::DomainType>(ff);
64 fill(out.begin(), out.end(), 0.0);
67 const auto& rule1 = QuadratureRules<Scalar,1>::rule(GeometryTypes::cube(1), qOrder);
69 for (
auto&& qp : rule1)
71 Scalar qPos = qp.position();
72 typename LB::Traits::DomainType localPos;
74 localPos = {0.0, qPos};
76 out[0] += (y[0]*n_[0][0] + y[1]*n_[0][1])*qp.weight()*sign_[0];
77 out[1] += (y[0]*n_[0][0] + y[1]*n_[0][1])*(2.0*qPos - 1.0)*qp.weight();
78 out[2] += (y[0]*n_[0][0] + y[1]*n_[0][1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*qp.weight()*sign_[0];
80 localPos = {1.0, qPos};
82 out[3] += (y[0]*n_[1][0] + y[1]*n_[1][1])*qp.weight()*sign_[1];
83 out[4] += (y[0]*n_[1][0] + y[1]*n_[1][1])*(1.0 - 2.0*qPos)*qp.weight();
84 out[5] += (y[0]*n_[1][0] + y[1]*n_[1][1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*qp.weight()*sign_[1];
86 localPos = {qPos, 0.0};
88 out[6] += (y[0]*n_[2][0] + y[1]*n_[2][1])*qp.weight()*sign_[2];
89 out[7] += (y[0]*n_[2][0] + y[1]*n_[2][1])*(1.0 - 2.0*qPos)*qp.weight();
90 out[8] += (y[0]*n_[2][0] + y[1]*n_[2][1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*qp.weight()*sign_[2];
92 localPos = {qPos, 1.0};
94 out[9] += (y[0]*n_[3][0] + y[1]*n_[3][1])*qp.weight()*sign_[3];
95 out[10] += (y[0]*n_[3][0] + y[1]*n_[3][1])*(2.0*qPos - 1.0)*qp.weight();
96 out[11] += (y[0]*n_[3][0] + y[1]*n_[3][1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*qp.weight()*sign_[3];
99 const auto& rule2 = QuadratureRules<Vector,2>::rule(GeometryTypes::cube(2), qOrder);
101 for (
auto&& qp : rule2)
103 FieldVector<double,2> qPos = qp.position();
106 out[12] += y[0]*qp.weight();
107 out[13] += y[1]*qp.weight();
108 out[14] += y[0]*qPos[0]*qp.weight();
109 out[15] += y[1]*qPos[0]*qp.weight();
110 out[16] += y[0]*qPos[1]*qp.weight();
111 out[17] += y[1]*qPos[1]*qp.weight();
112 out[18] += y[0]*qPos[0]*qPos[1]*qp.weight();
113 out[19] += y[1]*qPos[0]*qPos[1]*qp.weight();
114 out[20] += y[0]*qPos[1]*qPos[1]*qp.weight();
115 out[21] += y[1]*qPos[0]*qPos[0]*qp.weight();
116 out[22] += y[0]*qPos[0]*qPos[1]*qPos[1]*qp.weight();
117 out[23] += y[1]*qPos[0]*qPos[0]*qPos[1]*qp.weight();