1 #ifndef DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2Q2DLOCALINTERPOLATION_HH
2 #define DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2Q2DLOCALINTERPOLATION_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(); it!=rule.end(); ++it)
89 Scalar qPos = it->position();
90 typename LB::Traits::DomainType localPos;
94 f.evaluate(localPos, y);
95 out[0] += (y[0]*n0[0] + y[1]*n0[1])*it->weight()*sign0;
96 out[1] += (y[0]*n0[0] + y[1]*n0[1])*(2.0*qPos - 1.0)*it->weight();
97 out[2] += (y[0]*n0[0] + y[1]*n0[1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*it->weight()*sign0;
101 f.evaluate(localPos, y);
102 out[3] += (y[0]*n1[0] + y[1]*n1[1])*it->weight()*sign1;
103 out[4] += (y[0]*n1[0] + y[1]*n1[1])*(1.0 - 2.0*qPos)*it->weight();
104 out[5] += (y[0]*n1[0] + y[1]*n1[1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*it->weight()*sign1;
108 f.evaluate(localPos, y);
109 out[6] += (y[0]*n2[0] + y[1]*n2[1])*it->weight()*sign2;
110 out[7] += (y[0]*n2[0] + y[1]*n2[1])*(1.0 - 2.0*qPos)*it->weight();
111 out[8] += (y[0]*n2[0] + y[1]*n2[1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*it->weight()*sign2;
115 f.evaluate(localPos, y);
116 out[9] += (y[0]*n3[0] + y[1]*n3[1])*it->weight()*sign3;
117 out[10] += (y[0]*n3[0] + y[1]*n3[1])*(2.0*qPos - 1.0)*it->weight();
118 out[11] += (y[0]*n3[0] + y[1]*n3[1])*(6.0*qPos*qPos - 6.0*qPos + 1.0)*it->weight()*sign3;
121 const QuadratureRule<Vector,2>& rule2 = QuadratureRules<Vector,2>::rule(GeometryType(GeometryType::cube,2), qOrder);
123 for (
typename QuadratureRule<Vector,2>::const_iterator it = rule2.begin();
124 it != rule2.end(); ++it)
126 FieldVector<double,2> qPos = it->position();
129 out[12] += y[0]*it->weight();
130 out[13] += y[1]*it->weight();
131 out[14] += y[0]*qPos[0]*it->weight();
132 out[15] += y[1]*qPos[0]*it->weight();
133 out[16] += y[0]*qPos[1]*it->weight();
134 out[17] += y[1]*qPos[1]*it->weight();
135 out[18] += y[0]*qPos[0]*qPos[1]*it->weight();
136 out[19] += y[1]*qPos[0]*qPos[1]*it->weight();
137 out[20] += y[0]*qPos[1]*qPos[1]*it->weight();
138 out[21] += y[1]*qPos[0]*qPos[0]*it->weight();
139 out[22] += y[0]*qPos[0]*qPos[1]*qPos[1]*it->weight();
140 out[23] += y[1]*qPos[0]*qPos[0]*qPos[1]*it->weight();
145 typename LB::Traits::RangeFieldType sign0, sign1, sign2, sign3;
146 typename LB::Traits::DomainType n0, n1, n2, n3;
149 #endif // DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS2Q2DLOCALINTERPOLATION_HH