dune-pdelab  2.4.1
Public Types | Public Member Functions | List of all members
Dune::QkStuff::QkGLLocalBasis< D, R, k, d > Class Template Reference

Lagrange shape functions of order k on the reference cube. More...

#include <dune/pdelab/finiteelementmap/qkdggl.hh>

Public Types

typedef LocalBasisTraits< D, d, Dune::FieldVector< D, d >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, d > > Traits
 

Public Member Functions

unsigned int size () const
 number of shape functions More...
 
void evaluateFunction (const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
 Evaluate all shape functions. More...
 
void evaluateJacobian (const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
 Evaluate Jacobian of all shape functions. More...
 
unsigned int order () const
 Polynomial order of the shape functions. More...
 

Detailed Description

template<class D, class R, int k, int d>
class Dune::QkStuff::QkGLLocalBasis< D, R, k, d >

Lagrange shape functions of order k on the reference cube.

Also known as $Q^k$.

Template Parameters
DType to represent the field in the domain.
RType to represent the field in the range.
kPolynomial degree
dDimension of the cube

Member Typedef Documentation

template<class D , class R , int k, int d>
typedef LocalBasisTraits<D,d,Dune::FieldVector<D,d>,R,1,Dune::FieldVector<R,1>,Dune::FieldMatrix<R,1,d> > Dune::QkStuff::QkGLLocalBasis< D, R, k, d >::Traits

Member Function Documentation

template<class D , class R , int k, int d>
void Dune::QkStuff::QkGLLocalBasis< D, R, k, d >::evaluateFunction ( const typename Traits::DomainType &  in,
std::vector< typename Traits::RangeType > &  out 
) const
inline

Evaluate all shape functions.

References Dune::QkStuff::GaussLobattoLagrangePolynomials< D, R, k >::p().

template<class D , class R , int k, int d>
void Dune::QkStuff::QkGLLocalBasis< D, R, k, d >::evaluateJacobian ( const typename Traits::DomainType &  in,
std::vector< typename Traits::JacobianType > &  out 
) const
inline
template<class D , class R , int k, int d>
unsigned int Dune::QkStuff::QkGLLocalBasis< D, R, k, d >::order ( ) const
inline

Polynomial order of the shape functions.

template<class D , class R , int k, int d>
unsigned int Dune::QkStuff::QkGLLocalBasis< D, R, k, d >::size ( ) const
inline

number of shape functions


The documentation for this class was generated from the following file: