3 #ifndef DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALINTERPOLATION_HH 4 #define DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_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<
class F,
class C>
80 typedef typename LB::Traits::RangeFieldType Scalar;
81 typedef typename LB::Traits::DomainFieldType Vector;
82 typename F::Traits::RangeType y;
85 fill(out.begin(), out.end(), 0.0);
88 const QuadratureRule<Scalar,1>& rule1 = QuadratureRules<Scalar,1>::rule(GeometryType(GeometryType::cube,1), qOrder);
90 for (
typename QuadratureRule<Scalar,1>::const_iterator it = rule1.begin();
91 it != rule1.end(); ++it)
93 Scalar qPos = it->position();
94 typename LB::Traits::DomainType localPos;
98 f.evaluate(localPos, y);
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();
104 f.evaluate(localPos, y);
105 out[2] += (y[0]*n1[0] + y[1]*n1[1])*it->weight()*sign1;
106 out[3] += (y[0]*n1[0] + y[1]*n1[1])*(1.0 - 2.0*qPos)*it->weight();
110 f.evaluate(localPos, y);
111 out[4] += (y[0]*n2[0] + y[1]*n2[1])*it->weight()*sign2;
112 out[5] += (y[0]*n2[0] + y[1]*n2[1])*(1.0 - 2.0*qPos)*it->weight();
116 f.evaluate(localPos, y);
117 out[6] += (y[0]*n3[0] + y[1]*n3[1])*it->weight()*sign3;
118 out[7] += (y[0]*n3[0] + y[1]*n3[1])*(2.0*qPos - 1.0)*it->weight();
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(); it!=rule2.end(); ++it)
125 FieldVector<double,2> qPos = it->position();
128 out[8] += y[0]*it->weight();
129 out[9] += y[1]*it->weight();
130 out[10] += y[0]*qPos[1]*it->weight();
131 out[11] += y[1]*qPos[0]*it->weight();
136 typename LB::Traits::RangeFieldType sign0, sign1, sign2, sign3;
137 typename LB::Traits::DomainType n0, n1, n2, n3;
140 #endif // DUNE_LOCALFUNCTIONS_RAVIARTTHOMAS1_CUBE2D_LOCALINTERPOLATION_HH RT1Cube2DLocalInterpolation()
Standard constructor.
Definition: raviartthomas1cube2dlocalinterpolation.hh:28
Definition: brezzidouglasmarini1cube2dlocalbasis.hh:15
void interpolate(const F &f, std::vector< C > &out) const
Interpolate a given function with shape functions.
Definition: raviartthomas1cube2dlocalinterpolation.hh:77
First order Raviart-Thomas shape functions on the reference quadrilateral.
Definition: raviartthomas1cube2dlocalinterpolation.hh:23
RT1Cube2DLocalInterpolation(unsigned int s)
Make set number s, where 0 <= s < 16.
Definition: raviartthomas1cube2dlocalinterpolation.hh:38