imaging::ShapeFunction< N_NODES, N_FACE_NODES, N > Class Template Reference
[Finite Element Module]

Abstract base class of all shape functions classes. More...

#include <ShapeFunction.hpp>

List of all members.

Public Member Functions
float_t	value (size_t node_index, const ublas::fixed_vector< float_t, N > &in) const
ublas::fixed_vector< float_t, N > &	gradient (size_t node_index, const ublas::fixed_vector< float_t, N > &in, ublas::fixed_vector< float_t, N > &out) const
Static Public Member Functions
static size_t	face_node (size_t face, size_t node)
Static Public Attributes
static const size_t	n_element_nodes = N_NODES
static const size_t	n_shape_face_nodes = N_FACE_NODES

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Detailed Description

template<size_t N_NODES, size_t N_FACE_NODES, size_t N>
class imaging::ShapeFunction< N_NODES, N_FACE_NODES, N >

Abstract base class of all shape functions classes.

All implementations of shape functions on reference elements should be derived from this class. The template parameters N and N_NODES refer to the dimension of the reference element and to the number of nodes nodes on the element respectively.

See also:

Bilinear2dShapeFunction, Linear2dShapeFunction, Linear1dShapeFunction

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Member Function Documentation

template<size_t N_NODES, size_t N_FACE_NODES, size_t N>

static size_t imaging::ShapeFunction< N_NODES, N_FACE_NODES, N >::face_node	(	size_t	face,
		size_t	node
	)			[static]

Returns the node index (on the element) of the node determined by face_index and face_node_index (on the boundary reference element). E.g. the vertex 1 (there are only vertices 0 and 1 on the boundary reference element) on the face 2 of the square reference element (there are 4 faces with indices from zero to 3) is mapped to vertex 3 on the reference element.

Reimplemented in imaging::Bilinear2dShapeFunction, imaging::Linear2dShapeFunction, imaging::Linear3dShapeFunction, and imaging::Linear1dShapeFunction.

template<size_t N_NODES, size_t N_FACE_NODES, size_t N>

float_t imaging::ShapeFunction< N_NODES, N_FACE_NODES, N >::value	(	size_t	node_index,
		const ublas::fixed_vector< float_t, N > &	in
	)			const

Returns the value of the shape function corresponding to node_index at in.

template<size_t N_NODES, size_t N_FACE_NODES, size_t N>

ublas::fixed_vector<float_t, N>& imaging::ShapeFunction< N_NODES, N_FACE_NODES, N >::gradient	(	size_t	node_index,
		const ublas::fixed_vector< float_t, N > &	in,
		ublas::fixed_vector< float_t, N > &	out
	)			const

Computes the gradient of the shape function corresponding to node_index at in and stores the result in out.

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Member Data Documentation

template<size_t N_NODES, size_t N_FACE_NODES, size_t N>

const size_t imaging::ShapeFunction< N_NODES, N_FACE_NODES, N >::n_element_nodes = N_NODES [static]

The number of nodes per element for this shape function.

template<size_t N_NODES, size_t N_FACE_NODES, size_t N>

const size_t imaging::ShapeFunction< N_NODES, N_FACE_NODES, N >::n_shape_face_nodes = N_FACE_NODES [static]

The number of nodes per face of the reference element of this shape function.

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

• imaging2/fem/ShapeFunction.hpp