Lagrange shape functions of arbitrary order on the 1D reference triangle. More...

Public Types
enum
	Export the number of degrees of freedom.

enum
	Export the element order.

Public Member Functions
	Pk1DLocalBasis ()
	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, 1 > &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::Pk1DLocalBasis< D, R, k >

Lagrange shape functions of arbitrary order on the 1D 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

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

void Dune::Pk1DLocalBasis< D, R, k >::partial	(	const std::array< unsigned int, 1 > &	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

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