/usr/include/dune/localfunctions/rannacherturek/rannacherturek2d/rannacherturek2dlocalbasis.hh is in libdune-localfunctions-dev 2.4.1-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 | // -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_RANNACHER_TUREK_2D_LOCALBASIS_HH
#define DUNE_RANNACHER_TUREK_2D_LOCALBASIS_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 >
struct RannacherTurek2DLocalBasis
{
typedef LocalBasisTraits< D, 2, FieldVector< D, 2 >,
R, 1, FieldVector< R, 1 >,
FieldMatrix< R, 1, 2 > > Traits;
//! \brief number of shape functions
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 // #ifndef DUNE_RANNACHER_TUREK_2D_LOCALBASIS_HH
|