Line2 Class Reference

To describe a 2-Node planar line finite element. More...

#include "Line2.h"

Inheritance diagram for Line2:

Public Member Functions
	Line2 ()
	Default Constructor.
	Line2 (const Element *el)
	Constructor for an element.
	Line2 (const Side *side)
	Constructor for a side.
	Line2 (const Edge *edge)
	Constructor for an edge.
	~Line2 ()
	Destructor.
real_t	getLength () const
	Return element length.
Point< real_t >	getNormal () const
	Return unit normal vector to line.
Point< real_t >	getTangent () const
	Return unit tangent vector to line.
real_t	Sh (size_t i, real_t s) const
	Calculate shape function of a given node at a given point.
std::vector< Point< real_t > >	DSh () const
	Return partial derivatives of shape functions of element nodes.
Point< real_t >	getRefCoord (const Point< real_t > &x)
	Return reference coordinates of a point x in element.
bool	isIn (const Point< real_t > &x)
	Check whether point x is in current line element or not.
real_t	getInterpolate (const Point< real_t > &x, const LocalVect< real_t, 2 > &v)
	Return interpolated value at a given point.
Public Member Functions inherited from FEShape
	FEShape ()
	Default Constructor.
	FEShape (const Element *el)
	Constructor for an element.
	FEShape (const Side *sd)
	Constructor for a side.
virtual	~FEShape ()
	Destructor.
real_t	Sh (size_t i) const
	Return shape function of node i at given point.
real_t	Sh (size_t i, Point< real_t > s) const
	Calculate shape function of node i at a given point s.
real_t	getDet () const
	Return determinant of jacobian.
Point< real_t >	getCenter () const
	Return coordinates of center of element.
Point< real_t >	getLocalPoint () const
	Localize a point in the element.
Point< real_t >	getLocalPoint (const Point< real_t > &s) const
	Localize a point in the element.

Detailed Description

To describe a 2-Node planar line finite element.

Defines geometric quantities associated to 2-node linear segment element P1 in the space. The reference element is the segment [-1,1]. Note that the line length is not checked unless the function check is called.

Author

Rachid Touzani

Copyright

GNU Lesser Public License

Constructor & Destructor Documentation

Line2() [1/3]

Line2

(

const Element *

el

)

Constructor for an element.

Parameters

[in]

el

Pointer to element

Line2() [2/3]

Line2

(

const Side *

side

)

Constructor for a side.

Parameters

[in]

side

Pointer to side

Line2() [3/3]

Line2

(

const Edge *

edge

)

Constructor for an edge.

Parameters

[in]

edge

Pointer to edge

Member Function Documentation

DSh()

std::vector< Point< real_t > > DSh

(

)

const

Return partial derivatives of shape functions of element nodes.

Returns

LocalVect instance of partial derivatives of shape functions e.g. dsh(i).x, dsh(i).y, are partial derivatives of the i-th shape function.

getInterpolate()

real_t getInterpolate	(	const Point< real_t > &	x,
		const LocalVect< real_t, 2 > &	v )

Return interpolated value at a given point.

Parameters

[in]	x	Point where interpolation is evaluated (in the reference element).
[out]	v	Computed value.

getRefCoord()

Point< real_t > getRefCoord

(

const Point< real_t > &

x

)

Return reference coordinates of a point x in element.

Only the x-coordinate of the returned value has a meaning

Sh()

real_t Sh	(	size_t	i,
		real_t	s ) const

Calculate shape function of a given node at a given point.

Parameters

[in]	i	Node number (1 or 2).
[in]	s	Localization of point in natural coordinates (must be between -1 and 1).