/usr/include/dune/localfunctions/lagrange/prismp1/prismp1localbasis.hh is in libdune-localfunctions-dev 2.4.1-1.
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// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_PRISM_P1_LOCALBASIS_HH
#define DUNE_PRISM_P1_LOCALBASIS_HH
#include <dune/common/fmatrix.hh>
#include <dune/localfunctions/common/localbasis.hh>
namespace Dune
{
/**@ingroup LocalBasisImplementation
\brief Linear Lagrange shape functions on the prism.
Defines the linear shape functions on the prism.
\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 PrismP1LocalBasis
{
public:
//! \brief export type traits for function signature
typedef LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune::FieldVector<R,1>,
Dune::FieldMatrix<R,1,3> > Traits;
//! \brief number of shape functions
unsigned int size () const
{
return 6;
}
//! \brief Evaluate all shape functions
inline void evaluateFunction (const typename Traits::DomainType& in,
std::vector<typename Traits::RangeType>& out) const
{
out.resize(6);
out[0] = (1.0-in[0]-in[1])*(1.0-in[2]);
out[1] = in[0]*(1-in[2]);
out[2] = in[1]*(1-in[2]);
out[3] = in[2]*(1.0-in[0]-in[1]);
out[4] = in[0]*in[2];
out[5] = in[1]*in[2];
}
//! \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(6);
out[0][0][0] = in[2]-1; out[0][0][1] = in[2]-1; out[0][0][2] = in[0]+in[1]-1; // basis function 0
out[1][0][0] = 1-in[2]; out[1][0][1] = 0; out[1][0][2] = -in[0]; // basis function 1
out[2][0][0] = 0; out[2][0][1] = 1-in[2]; out[2][0][2] = -in[1]; // basis function 2
out[3][0][0] = -in[2]; out[3][0][1] = -in[2]; out[3][0][2] = 1-in[0]-in[1]; // basis function 3
out[4][0][0] = in[2]; out[4][0][1] = 0; out[4][0][2] = in[0]; // basis function 4
out[5][0][0] = 0; out[5][0][1] = in[2]; out[5][0][2] = in[1]; // basis function 5
}
//! \brief Polynomial order of the shape functions
unsigned int order () const
{
return 1;
}
};
}
#endif
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