/usr/include/dune/localfunctions/rannacherturek/rannacherturek2d/rannacherturek2dlocalbasis.hh is in libdune-localfunctions-dev 2.2.1-2.
This file is owned by root:root, with mode 0o644.
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#ifndef DUNE_RANNACHER_TUREK2DLOCALBASIS_HH
#define DUNE_RANNACHER_TUREK2DLOCALBASIS_HH
#include <vector>
#include <dune/common/fvector.hh>
#include <dune/common/fmatrix.hh>
#include <dune/localfunctions/common/localbasis.hh>
namespace Dune {
template<class D, class R>
class RannacherTurek2DLocalBasis
{
public:
typedef LocalBasisTraits<D,2,FieldVector<D,2>,
R,1,FieldVector<R,1>,
FieldMatrix<R,1,2> > Traits;
unsigned int size () const {
return 4;
}
//! \brief Evaluate all shape functions
inline void
evaluateFunction (const typename Traits::DomainType& in,
std::vector<typename Traits::RangeType>& out) const
{
out.resize(4);
typename Traits::DomainFieldType qbase = in[0]*in[0]-in[1]*in[1];
out[0] = .75 - 2*in[0] + in[1] + qbase;
out[1] = -.25 + in[1] + qbase;
out[2] = .75 + in[0] - 2*in[1] - qbase;
out[3] = -.25 + in[0] - qbase;
}
//! \brief Evaluate Jacobian of all shape functions
inline void
evaluateJacobian (const typename Traits::DomainType& in,
std::vector<typename Traits::JacobianType>& out) const
{
out.resize(4);
// see http://www.dune-project.org/doc/doxygen/html/classDune_1_1C1LocalBasisInterface.html#d6f8368f8aa43439cc7ef10419f6e2ea
// out[i][j][k] = d_k \phi^i_j , where \phi^i_j is the j'th component of the i'th shape function.
out[0][0][0] = -2 + 2*in[0]; out[0][0][1] = 1 - 2*in[1];
out[1][0][0] = 2*in[0]; out[1][0][1] = 1 - 2*in[1];
out[2][0][0] = 1 - 2*in[0]; out[2][0][1] = -2 + 2*in[1];
out[3][0][0] = 1 - 2*in[0]; out[3][0][1] = 2*in[1];
}
//! \brief Polynomial order of the shape functions
unsigned int order () const {
// must be 2 here since it contains x^2 and x^2
return 2;
}
};
} //namespace Dune
#endif // DUNE_RANNACHER_TUREK2DLOCALBASIS_HH
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