/usr/include/dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localinterpolation.hh is in libdune-localfunctions-dev 2.3.1-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_HIERARCHICAL_SIMPLEX_P2_LOCALINTERPOLATION_HH
#define DUNE_HIERARCHICAL_SIMPLEX_P2_LOCALINTERPOLATION_HH
#include <vector>
namespace Dune
{
/**
\tparam LB The LocalBasis implementation
*/
template<class LB>
class HierarchicalSimplexP2LocalInterpolation
{
public:
template<typename F, typename C>
void interpolate (const F& f, std::vector<C>& out) const
{
typename LB::Traits::DomainType x;
typename LB::Traits::RangeType y;
dune_static_assert(LB::Traits::dimDomain <=3, "LocalInterpolation for HierarchicalSimplexP2 finite elements"
" is only implemented for dimDomain <=3!");
switch ( int(LB::Traits::dimDomain)) {
case 1 :
out.resize(3);
// First: the two vertex dofs
x[0] = 0.0; f.evaluate(x, y); out[0] = y;
x[0] = 1.0; f.evaluate(x, y); out[2] = y;
// Then: the edge dof
x[0] = 0.5; f.evaluate(x, y);
out[1] = y - 0.5*(out[0] + out[2]);
break;
case 2 :
out.resize(6);
// First: the three vertex dofs
x[0] = 0.0; x[1] = 0.0; f.evaluate(x, y); out[0] = y;
x[0] = 1.0; x[1] = 0.0; f.evaluate(x, y); out[2] = y;
x[0] = 0.0; x[1] = 1.0; f.evaluate(x, y); out[5] = y;
// Then: the three edge dofs
x[0] = 0.5; x[1] = 0.0; f.evaluate(x, y);
out[1] = y - 0.5*(out[0] + out[2]);
x[0] = 0.0; x[1] = 0.5; f.evaluate(x, y);
out[3] = y - 0.5*(out[0] + out[5]);
x[0] = 0.5; x[1] = 0.5; f.evaluate(x, y);
out[4] = y - 0.5*(out[2] + out[5]);
break;
case 3 :
out.resize(10);
// First: the four vertex dofs
x[0] = 0.0; x[1] = 0.0; x[2] = 0.0; f.evaluate(x, y); out[0] = y;
x[0] = 1.0; x[1] = 0.0; x[2] = 0.0; f.evaluate(x, y); out[2] = y;
x[0] = 0.0; x[1] = 1.0; x[2] = 0.0; f.evaluate(x, y); out[5] = y;
x[0] = 0.0; x[1] = 0.0; x[2] = 1.0; f.evaluate(x, y); out[9] = y;
// Then: the six edge dofs
x[0] = 0.5; x[1] = 0.0; x[2] = 0.0; f.evaluate(x, y);
out[1] = y - 0.5*(out[0] + out[2]);
x[0] = 0.0; x[1] = 0.5; x[2] = 0.0; f.evaluate(x, y);
out[3] = y - 0.5*(out[0] + out[5]);
x[0] = 0.5; x[1] = 0.5; x[2] = 0.0; f.evaluate(x, y);
out[4] = y - 0.5*(out[2] + out[5]);
x[0] = 0.0; x[1] = 0.0; x[2] = 0.5; f.evaluate(x, y);
out[6] = y - 0.5*(out[0] + out[9]);
x[0] = 0.5; x[1] = 0.0; x[2] = 0.5; f.evaluate(x, y);
out[7] = y - 0.5*(out[2] + out[9]);
x[0] = 0.0; x[1] = 0.5; x[2] = 0.5; f.evaluate(x, y);
out[8] = y - 0.5*(out[5] + out[9]);
break;
}
}
};
}
#endif
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