Dune::P23DLocalBasis< D, R > Class Template Reference

Quadratic Lagrange shape functions on the tetrahedron. More...

#include <dune/localfunctions/lagrange/p23d/p23dlocalbasis.hh>

Public Types
typedef LocalBasisTraits< D, 3, Dune::FieldVector< D, 3 >, R, 1, Dune::FieldVector< R, 1 >, Dune::FieldMatrix< R, 1, 3 > >	Traits
	export type traits for function signature

Public Member Functions
unsigned int	size () const
	number of shape functions
void	evaluateFunction (const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate all shape functions.
void	evaluateJacobian (const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const
	Evaluate Jacobian of all shape functions.
void	partial (const std::array< unsigned int, 3 > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const
	Evaluate partial derivatives of any order of all shape functions. More...
unsigned int	order () const
	Polynomial order of the shape functions.

Detailed Description

template<class D, class R>
class Dune::P23DLocalBasis< D, R >

Quadratic Lagrange shape functions on the tetrahedron.

Defines the quadratic shape functions on tetrahedron.

Template Parameters

D	Type to represent the field in the domain.
R	Type to represent the field in the range.

Member Function Documentation

partial()

template<class D , class R >

void Dune::P23DLocalBasis< D, R >::partial ( const std::array< unsigned int, 3 > &  order, const typename Traits::DomainType &  in, std::vector< typename Traits::RangeType > &  out  ) const

inline

Evaluate partial derivatives of any order of all shape functions.

Parameters

	order	Order of the partial derivatives, in the classic multi-index notation
	in	Position where to evaluate the derivatives
[out]	out	Return value: the desired partial derivatives

References Dune::Hybrid::accumulate(), DUNE_THROW, Dune::P23DLocalBasis< D, R >::evaluateFunction(), Dune::P23DLocalBasis< D, R >::order(), and Dune::P23DLocalBasis< D, R >::size().

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

• dune/localfunctions/lagrange/p23d/p23dlocalbasis.hh