/usr/include/dune/localfunctions/lagrange/q22d/q22dlocalbasis.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.
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 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 | #ifndef DUNE_Q22DLOCALBASIS_HH
#define DUNE_Q22DLOCALBASIS_HH
#warning This file is deprecated and will be removed after Dune 2.2. \
Please use q2localbasis.hh instead!
#include <dune/common/fmatrix.hh>
#include <dune/localfunctions/common/localbasis.hh>
namespace Dune
{
/**@ingroup LocalBasisImplementation
\brief Lagrange shape functions of order 2 on the reference quadrilateral.
Also known as \f$Q^2\f$.
\tparam D Type to represent the field in the domain.
\tparam R Type to represent the field in the range.
\nosubgrouping
*/
template<class D, class R>
class Q22DLocalBasis
{
public:
typedef LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,1,Dune::FieldVector<R,1>,
Dune::FieldMatrix<R,1,2> > Traits;
//! \brief number of shape functions
unsigned int size () const
{
return 9;
}
//! \brief Evaluate all shape functions
inline void evaluateFunction (const typename Traits::DomainType& in,
std::vector<typename Traits::RangeType>& out) const
{
out.resize(9);
R x=in[0], y=in[1];
R X0=2*x*x-3*x+1, X1=-4*x*x+4*x, X2=2*x*x-x;
R Y0=2*y*y-3*y+1, Y1=-4*y*y+4*y, Y2=2*y*y-y;
out[2] = X0*Y2;
out[7] = X1*Y2;
out[3] = X2*Y2;
out[4] = X0*Y1;
out[8] = X1*Y1;
out[5] = X2*Y1;
out[0] = X0*Y0;
out[6] = X1*Y0;
out[1] = X2*Y0;
}
//! \brief Evaluate Jacobian of all shape functions
inline void
evaluateJacobian (const typename Traits::DomainType& in, // position
std::vector<typename Traits::JacobianType>& out) const // return value
{
out.resize(9);
R x=in[0], y=in[1];
R X0=2*x*x-3*x+1, X1=-4*x*x+4*x, X2=2*x*x-x;
R Y0=2*y*y-3*y+1, Y1=-4*y*y+4*y, Y2=2*y*y-y;
R DX0=4*x-3, DX1=-8*x+4, DX2=4*x-1;
R DY0=4*y-3, DY1=-8*y+4, DY2=4*y-1;
out[2][0][0] = DX0*Y2; out[7][0][0] = DX1*Y2; out[3][0][0] = DX2*Y2;
out[2][0][1] = X0*DY2; out[7][0][1] = X1*DY2; out[3][0][1] = X2*DY2;
out[4][0][0] = DX0*Y1; out[8][0][0] = DX1*Y1; out[5][0][0] = DX2*Y1;
out[4][0][1] = X0*DY1; out[8][0][1] = X1*DY1; out[5][0][1] = X2*DY1;
out[0][0][0] = DX0*Y0; out[6][0][0] = DX1*Y0; out[1][0][0] = DX2*Y0;
out[0][0][1] = X0*DY0; out[6][0][1] = X1*DY0; out[1][0][1] = X2*DY0;
}
//! \brief Polynomial order of the shape functions
unsigned int order () const
{
return 2;
}
};
}
#endif
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