3#ifndef DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH
4#define DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI2_CUBE2D_LOCALINTERPOLATION_HH
29 sign0 = sign1 = sign2 = sign3 = 1.0;
39 sign0 = sign1 = sign2 = sign3 = 1.0;
75 template<
typename F,
typename C>
79 typedef typename LB::Traits::RangeFieldType Scalar;
80 typedef typename LB::Traits::DomainFieldType Vector;
81 typename F::Traits::RangeType y;
84 fill(out.begin(), out.end(), 0.0);
90 it != rule.end(); ++it)
92 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();
101 out[2] += (y[0]*n0[0] + y[1]*n0[1])*(8.0*qPos*qPos - 8.0*qPos + 1.0)*it->weight()*sign0;
105 f.evaluate(localPos, y);
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])*(8.0*qPos*qPos - 8.0*qPos + 1.0)*it->weight()*sign1;
112 f.evaluate(localPos, y);
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])*(8.0*qPos*qPos - 8.0*qPos + 1.0)*it->weight()*sign2;
119 f.evaluate(localPos, y);
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])*(8.0*qPos*qPos - 8.0*qPos + 1.0)*it->weight()*sign3;
129 f.evaluate(it->position(), y);
130 out[12] += y[0]*it->weight();
131 out[13] += y[1]*it->weight();
136 typename LB::Traits::RangeFieldType sign0, sign1, sign2, sign3;
137 typename LB::Traits::DomainType n0, n1, n2, n3;
First order Brezzi-Douglas-Marini shape functions on quadrilaterals.
Definition: brezzidouglasmarini2cube2dlocalinterpolation.hh:23
BDM2Cube2DLocalInterpolation(unsigned int s)
Make set number s, where 0 <= s < 16.
Definition: brezzidouglasmarini2cube2dlocalinterpolation.hh:37
BDM2Cube2DLocalInterpolation()
Standard constructor.
Definition: brezzidouglasmarini2cube2dlocalinterpolation.hh:27
void interpolate(const F &f, std::vector< C > &out) const
Interpolate a given function with shape functions.
Definition: brezzidouglasmarini2cube2dlocalinterpolation.hh:76
Abstract base class for quadrature rules.
Definition: quadraturerules.hh:97
static const QuadratureRule & rule(const GeometryType &t, int p, QuadratureType::Enum qt=QuadratureType::GaussLegendre)
select the appropriate QuadratureRule for GeometryType t and order p
Definition: quadraturerules.hh:225
constexpr GeometryType cube(unsigned int dim)
Returns a GeometryType representing a hypercube of dimension dim.
Definition: type.hh:705
Dune namespace.
Definition: alignedallocator.hh:10