3 #ifndef DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALINTERPOLATION_HH
4 #define DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALINTERPOLATION_HH
8 #include <dune/geometry/quadraturerules.hh>
30 sign0 = sign1 = sign2 = sign3 = 1.0;
40 sign0 = sign1 = sign2 = sign3 = 1.0;
76 template<
typename F,
typename C>
80 typedef typename LB::Traits::RangeFieldType Scalar;
81 typedef typename LB::Traits::DomainFieldType Vector;
83 auto&& f = Impl::makeFunctionWithCallOperator<typename LB::Traits::DomainType>(ff);
86 fill(out.begin(), out.end(), 0.0);
89 const QuadratureRule<Scalar,1>& rule = QuadratureRules<Scalar,1>::rule(GeometryTypes::cube(1), qOrder);
91 for (
typename QuadratureRule<Scalar,1>::const_iterator it=rule.begin(); it!=rule.end(); ++it)
93 Scalar qPos = it->position();
94 typename LB::Traits::DomainType localPos;
99 out[0] += (y[0]*n0[0] + y[1]*n0[1])*it->weight()*sign0;
100 out[1] += (y[0]*n0[0] + y[1]*n0[1])*(2.0*qPos - 1.0)*it->weight();
101 out[2] += (y[0]*n0[0] + y[1]*n0[1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*it->weight()*sign0;
106 out[3] += (y[0]*n1[0] + y[1]*n1[1])*it->weight()*sign1;
107 out[4] += (y[0]*n1[0] + y[1]*n1[1])*(1.0 - 2.0*qPos)*it->weight();
108 out[5] += (y[0]*n1[0] + y[1]*n1[1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*it->weight()*sign1;
113 out[6] += (y[0]*n2[0] + y[1]*n2[1])*it->weight()*sign2;
114 out[7] += (y[0]*n2[0] + y[1]*n2[1])*(1.0 - 2.0*qPos)*it->weight();
115 out[8] += (y[0]*n2[0] + y[1]*n2[1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*it->weight()*sign2;
120 out[9] += (y[0]*n3[0] + y[1]*n3[1])*it->weight()*sign3;
121 out[10] += (y[0]*n3[0] + y[1]*n3[1])*(2.0*qPos - 1.0)*it->weight();
122 out[11] += (y[0]*n3[0] + y[1]*n3[1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*it->weight()*sign3;
125 const QuadratureRule<Vector,2>& rule2 = QuadratureRules<Vector,2>::rule(GeometryTypes::cube(2), qOrder);
127 for (
typename QuadratureRule<Vector,2>::const_iterator it = rule2.begin();
128 it != rule2.end(); ++it)
130 FieldVector<double,2> qPos = it->position();
133 out[12] += y[0]*it->weight();
134 out[13] += y[1]*it->weight();
135 out[14] += y[0]*qPos[0]*it->weight();
136 out[15] += y[1]*qPos[0]*it->weight();
137 out[16] += y[0]*qPos[1]*it->weight();
138 out[17] += y[1]*qPos[1]*it->weight();
139 out[18] += y[0]*qPos[0]*qPos[1]*it->weight();
140 out[19] += y[1]*qPos[0]*qPos[1]*it->weight();
141 out[20] += y[0]*qPos[1]*qPos[1]*it->weight();
142 out[21] += y[1]*qPos[0]*qPos[0]*it->weight();
143 out[22] += y[0]*qPos[0]*qPos[1]*qPos[1]*it->weight();
144 out[23] += y[1]*qPos[0]*qPos[0]*qPos[1]*it->weight();
149 typename LB::Traits::RangeFieldType sign0, sign1, sign2, sign3;
150 typename LB::Traits::DomainType n0, n1, n2, n3;
153 #endif // DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2_CUBE2D_LOCALINTERPOLATION_HH