/usr/include/dune/localfunctions/hierarchical/hierarchicalprismp2/hierarchicalprismp2localinterpolation.hh is in libdune-localfunctions-dev 2.2.1-2.
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 ts=4 sw=2 et sts=2:
#ifndef DUNE_HIERARCHICAL_PRISM_P2_LOCALINTERPOLATION_HH
#define DUNE_HIERARCHICAL_PRISM_P2_LOCALINTERPOLATION_HH
#include <vector>
namespace Dune
{
/**
\tparam LB The LocalBasis implementation
*/
template<class LB>
class HierarchicalPrismP2LocalInterpolation
{
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;
out.resize(18);
//dune_static_assert(LB::Traits::dimDomain ==3, "LocalInterpolation for HierarchicalPrismP2 finite elements"
// " is only implemented for dimDomain ==3!");
//First the 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[1] = y;
x[0] = 0.0; x[1] = 1.0; x[2] = 0.0; f.evaluate(x, y); out[2] = y;
x[0] = 0.0; x[1] = 0.0; x[2] = 1.0; f.evaluate(x, y); out[3] = y;
x[0] = 1.0; x[1] = 0.0; x[2] = 1.0; f.evaluate(x, y); out[4] = y;
x[0] = 0.0; x[1] = 1.0; x[2] = 1.0; f.evaluate(x, y); out[5] = y;
// Then: the 9 edge dofs and the 3 face dofs
x[0] = 0.0; x[1] = 0.0; x[2] = 0.5; f.evaluate(x, y);
out[6] = y - 0.5*(out[0] + out[3]);
x[0] = 1.0; x[1] = 0.0; x[2] = 0.5; f.evaluate(x, y);
out[7] = y - 0.5*(out[1] + out[4]);
x[0] = 0.0; x[1] = 1.0; x[2] = 0.5; f.evaluate(x, y);
out[8] = y - 0.5*(out[2] + out[5]);
x[0] = 0.5; x[1] = 0.0; x[2] = 0.0; f.evaluate(x, y);
out[9] = y - 0.5*(out[0] + out[1]);
x[0] = 0.0; x[1] = 0.5; x[2] = 0.0; f.evaluate(x, y);
out[10] = y - 0.5*(out[2] + out[0]);
x[0] = 0.5; x[1] = 0.5; x[2] = 0.0; f.evaluate(x, y);
out[11] = y - 0.5*(out[2] + out[1]);
x[0] = 0.5; x[1] = 0.0; x[2] = 1.0; f.evaluate(x, y);
out[12] = y - 0.5*(out[3] + out[4]);
x[0] = 0.0; x[1] = 0.5; x[2] = 1.0; f.evaluate(x, y);
out[13] = y - 0.5*(out[3] + out[5]);
x[0] = 0.5; x[1] = 0.5; x[2] = 1.0; f.evaluate(x, y);
out[14] = y - 0.5*(out[4] + out[5]);
//faces
x[0] = 0.5; x[1] = 0.0; x[2] = 0.5; f.evaluate(x, y);
out[15] = y - 0.25*(out[4] + out[1] + out[0] + out[3] );
x[0] = 0.0; x[1] = 0.5; x[2] = 0.5; f.evaluate(x, y);
out[16] = y - 0.25*(out[2] + out[0] + out[3] + out[5] );
x[0] = 0.5; x[1] = 0.5; x[2] = 0.5; f.evaluate(x, y);
out[17] = y - 0.25*(out[2] + out[1] + out[4] + out[5] );
}
};
}
#endif
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