Dune::Pk2DLocalBasis< D, R, k > Class Template Reference

Lagrange shape functions of arbitrary order on the reference triangle. More...

#include <dune/localfunctions/lagrange/pk2d/pk2dlocalbasis.hh>

Public Types
enum
	Export the number of degrees of freedom.
enum
	Export the element order OS: Surprising that we need to export this both statically and dynamically!

Public Member Functions
	Pk2DLocalBasis ()
	Standard constructor.
unsigned int	size () const
	number of shape functions
void	evaluateFunction (const typename Traits::DomainType &x, std::vector< typename Traits::RangeType > &out) const
	Evaluate all shape functions.
void	evaluateJacobian (const typename Traits::DomainType &x, std::vector< typename Traits::JacobianType > &out) const
	Evaluate Jacobian of all shape functions.
void	partial (const std::array< unsigned int, 2 > &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, unsigned int k>
class Dune::Pk2DLocalBasis< D, R, k >

Lagrange shape functions of arbitrary order on the reference triangle.

Lagrange shape functions of arbitrary order have the property that \(\hat\phi^i(x_j) = \delta_{i,j}\) for certain points \(x_j\).

Template Parameters

D	Type to represent the field in the domain.
R	Type to represent the field in the range.
k	Polynomial order.

Member Function Documentation

partial()

template<class D , class R , unsigned int k>

void Dune::Pk2DLocalBasis< D, R, k >::partial ( const std::array< unsigned int, 2 > &  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::Pk2DLocalBasis< D, R, k >::evaluateFunction(), and Dune::Pk2DLocalBasis< D, R, k >::order().

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

• dune/localfunctions/lagrange/pk2d/pk2dlocalbasis.hh