Shape Function

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Detailed Description

A module that groups shape function classes.

Classes
class	FEShape
	Parent class from which inherit all finite element shape classes. More...
class	Hexa8
	Defines a three-dimensional 8-node hexahedral finite element using Q1-isoparametric interpolation. More...
class	Line2
	To describe a 2-Node planar line finite element. More...
class	Line2H
	To describe a 2-Node Hermite planar line finite element. More...
class	Line3
	To describe a 3-Node quadratic planar line finite element. More...
class	Quad4
	Defines a 4-node quadrilateral finite element using Q1-isoparametric interpolation. More...
class	Tetra4
	Defines a three-dimensional 4-node tetrahedral finite element using P1 interpolation. More...
class	Triang3
	Defines a 3-Node (P1) triangle. More...
class	Triang6S
	Defines a 6-Node straight triangular finite element using P2 interpolation. More...
Functions
template<class T_>
Point< T_ >	gradient (const Triang3 &fe, const class LocalVect< T_, 3 > &u)
	Calculate gradient of a P1 function in triangle.
template<class T_>
T_	interpolate (const Triang3 &fe, const LocalVect< T_, 3 > &u, const T_ &s)
	Interpolate at nodes.

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Function Documentation

Point< T_ > gradient	(	const Triang3 &	fe,
		const class LocalVect< T_, 3 > &	u
	)

Calculate gradient of a P1 function in triangle.

Parameters:

[in]	fe	: Reference to Triang3 instance.
[in]	u	: Vector containing values at nodes to interpolate.

Return values:

v

: Gradient vector.

References Triang3::DSh().

T_ interpolate	(	const Triang3 &	fe,
		const LocalVect< T_, 3 > &	u,
		const T_ &	s
	)

Interpolate at nodes.

Parameters:

[in]	fe	: Reference to Triang3 instance.
[in]	u	: Vector containing values at nodes to interpolate.
[in]	s	: Local coordinate (in reference triangle) where to interpolate.

Return values:

v

: Obtained value.

References Triang3::Sh().