Dune::HierarchicalSimplexP2LocalBasis< D, R, 3 > Class Template Reference

Hierarchical P2 basis in 3d. More...

#include <dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.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 all shape functions.
unsigned int	order () const
	Polynomial order of the shape functions (2 in this case)

Detailed Description

template<class D, class R>
class Dune::HierarchicalSimplexP2LocalBasis< D, R, 3 >

Hierarchical P2 basis in 3d.

The shape functions are associated to the following points:

The functions are associated to points by:

• \( f_0 \) ~ (0.0, 0.0, 0.0)
• \( f_1 \) ~ (0.5, 0.0, 0.0)
• \( f_2 \) ~ (1.0, 0.0, 0.0)
• \( f_3 \) ~ (0.0, 0.5, 0.0)
• \( f_4 \) ~ (0.5, 0.5, 0.0)
• \( f_5 \) ~ (0.0, 1.0, 0.0)
• \( f_6 \) ~ (0.0, 0.0, 0.5)
• \( f_7 \) ~ (0.5, 0.0, 0.5)
• \( f_8 \) ~ (0.0, 0.5, 0.5)
• \( f_9 \) ~ (0.0, 0.0, 1.0)

Template Parameters

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

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

• dune/localfunctions/hierarchical/hierarchicalp2/hierarchicalsimplexp2localbasis.hh