5 #ifndef DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH
6 #define DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH
10 #include <dune/geometry/quadraturerules.hh>
32 sign0 = sign1 = sign2 = sign3 = 1.0;
42 sign0 = sign1 = sign2 = sign3 = 1.0;
78 template<
typename F,
typename C>
82 typedef typename LB::Traits::RangeFieldType Scalar;
83 typedef typename LB::Traits::DomainFieldType Vector;
85 auto&& f = Impl::makeFunctionWithCallOperator<typename LB::Traits::DomainType>(ff);
88 fill(out.begin(), out.end(), 0.0);
91 const QuadratureRule<Scalar,1>& rule = QuadratureRules<Scalar,1>::rule(GeometryTypes::cube(1), qOrder);
93 for (
typename QuadratureRule<Scalar,1>::const_iterator it = rule.begin();
94 it != rule.end(); ++it)
96 Scalar qPos = it->position();
98 typename LB::Traits::DomainType localPos;
102 auto y = f(localPos);
103 out[0] += (y[0]*n0[0] + y[1]*n0[1])*it->weight()*sign0;
104 out[1] += (y[0]*n0[0] + y[1]*n0[1])*(2.0*qPos - 1.0)*it->weight();
105 out[2] += (y[0]*n0[0] + y[1]*n0[1])*(8.0*qPos*qPos - 8.0*qPos + 1.0)*it->weight()*sign0;
110 out[3] += (y[0]*n1[0]+y[1]*n1[1])*it->weight()*sign1;
111 out[4] += (y[0]*n1[0]+y[1]*n1[1])*(1.0 - 2.0*qPos)*it->weight();
112 out[5] += (y[0]*n1[0]+y[1]*n1[1])*(8.0*qPos*qPos - 8.0*qPos + 1.0)*it->weight()*sign1;
117 out[6] += (y[0]*n2[0] + y[1]*n2[1])*it->weight()*sign2;
118 out[7] += (y[0]*n2[0] + y[1]*n2[1])*(1.0 - 2.0*qPos)*it->weight();
119 out[8] += (y[0]*n2[0] + y[1]*n2[1])*(8.0*qPos*qPos - 8.0*qPos + 1.0)*it->weight()*sign2;
124 out[9] += (y[0]*n3[0] + y[1]*n3[1])*it->weight()*sign3;
125 out[10] += (y[0]*n3[0] + y[1]*n3[1])*(2.0*qPos - 1.0)*it->weight();
126 out[11] += (y[0]*n3[0] + y[1]*n3[1])*(8.0*qPos*qPos - 8.0*qPos + 1.0)*it->weight()*sign3;
129 const QuadratureRule<Vector,2>& rule2 = QuadratureRules<Vector,2>::rule(GeometryTypes::cube(2), qOrder);
131 for (
typename QuadratureRule<Vector,2>::const_iterator it=rule2.begin(); it!=rule2.end(); ++it)
133 auto y = f(it->position());
134 out[12] += y[0]*it->weight();
135 out[13] += y[1]*it->weight();
140 typename LB::Traits::RangeFieldType sign0, sign1, sign2, sign3;
141 typename LB::Traits::DomainType n0, n1, n2, n3;
Definition: bdfmcube.hh:18
First order Brezzi-Douglas-Marini shape functions on quadrilaterals.
Definition: brezzidouglasmarini2cube2dlocalinterpolation.hh:26
BDM2Cube2DLocalInterpolation(unsigned int s)
Make set number s, where 0 <= s < 16.
Definition: brezzidouglasmarini2cube2dlocalinterpolation.hh:40
BDM2Cube2DLocalInterpolation()
Standard constructor.
Definition: brezzidouglasmarini2cube2dlocalinterpolation.hh:30
void interpolate(const F &ff, std::vector< C > &out) const
Interpolate a given function with shape functions.
Definition: brezzidouglasmarini2cube2dlocalinterpolation.hh:79