itk::fem::Element2DC0LinearQuadrilateral Class Reference

#include <itkFEMElement2DC0LinearQuadrilateral.h>

Inheritance diagram for itk::fem::Element2DC0LinearQuadrilateral:

Collaboration diagram for itk::fem::Element2DC0LinearQuadrilateral:

List of all members.

Public Types
enum	{ DefaultIntegrationOrder = 2 }
typedef SmartPointer< const Self >	ConstPointer
typedef SmartPointer< Self >	Pointer
typedef Element2DC0LinearQuadrilateral	Self
typedef TemplatedParentClass	Superclass
typedef ElementStd< 4, 2 >	TemplatedParentClass
Public Member Functions
Float	Determinant2x2 (const VectorType &c1, const VectorType &c2) const
virtual void	GetIntegrationPointAndWeight (unsigned int i, VectorType &pt, Float &w, unsigned int order) const
virtual bool	GetLocalFromGlobalCoordinates (const VectorType &globalPt, VectorType &localPt) const
virtual const char *	GetNameOfClass () const
virtual unsigned int	GetNumberOfIntegrationPoints (unsigned int order) const
void	InterpolationDerivs (const VectorType &pcoords, VectorType &derivs) const
void	InterpolationFunctions (const VectorType &pcoords, VectorType &sf) const
virtual void	ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const
virtual VectorType	ShapeFunctions (const VectorType &pt) const
Protected Member Functions
virtual void	PopulateEdgeIds (void)
virtual void	PrintSelf (std::ostream &os, Indent indent) const

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Detailed Description

4-noded, linear, C0 continuous finite element in 2D space.

The ordering of the nodes is counter clockwise. That is the nodes should be defined in the following order:

3 (0,1) 2 (1,1) *------------------------* | | | | | | | | | | | | *------------------------* 0 (0,0) 1 (0,1)

This is an abstract class. Specific concrete implemenations of this It must be combined with the physics component of the problem. This has already been done in the following classes:

See also:

Element2DC0LinearQuadrilateralMembrane

Element2DC0LinearQuadrilateralStrain

Element2DC0LinearQuadrilateralStress

Definition at line 56 of file itkFEMElement2DC0LinearQuadrilateral.h.

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Member Typedef Documentation

typedef SmartPointer<const Self> itk::fem::Element2DC0LinearQuadrilateral::ConstPointer

Reimplemented from itk::fem::ElementStd< 4, 2 >.

Reimplemented in itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStress, itk::fem::Element2DC0LinearQuadrilateralStrain, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, and itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >.

Definition at line 64 of file itkFEMElement2DC0LinearQuadrilateral.h.

typedef SmartPointer<Self> itk::fem::Element2DC0LinearQuadrilateral::Pointer

Reimplemented from itk::fem::ElementStd< 4, 2 >.

Reimplemented in itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStress, itk::fem::Element2DC0LinearQuadrilateralStrain, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, and itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >.

Definition at line 63 of file itkFEMElement2DC0LinearQuadrilateral.h.

typedef Element2DC0LinearQuadrilateral itk::fem::Element2DC0LinearQuadrilateral::Self

Standard class typedefs.

Reimplemented from itk::fem::ElementStd< 4, 2 >.

Reimplemented in itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStress, itk::fem::Element2DC0LinearQuadrilateralStrain, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, and itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >.

Definition at line 60 of file itkFEMElement2DC0LinearQuadrilateral.h.

typedef TemplatedParentClass itk::fem::Element2DC0LinearQuadrilateral::Superclass

Reimplemented from itk::fem::ElementStd< 4, 2 >.

Reimplemented in itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStress, itk::fem::Element2DC0LinearQuadrilateralStrain, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, and itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >.

Definition at line 62 of file itkFEMElement2DC0LinearQuadrilateral.h.

typedef ElementStd<4, 2> itk::fem::Element2DC0LinearQuadrilateral::TemplatedParentClass

Definition at line 61 of file itkFEMElement2DC0LinearQuadrilateral.h.

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Member Enumeration Documentation

anonymous enum

Methods related to numeric integration

Enumerator:

DefaultIntegrationOrder

Definition at line 74 of file itkFEMElement2DC0LinearQuadrilateral.h.

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Member Function Documentation

Float itk::fem::Element2DC0LinearQuadrilateral::Determinant2x2	(	const VectorType &	c1,
		const VectorType &	c2
	)		const

Return the determinate of a 2x2 matrix

virtual void itk::fem::Element2DC0LinearQuadrilateral::GetIntegrationPointAndWeight	(	unsigned int	i,
		VectorType &	pt,
		Float &	w,
		unsigned int	order
	)		const [virtual]

Get the Integration point and weight

Implements itk::fem::Element.

virtual bool itk::fem::Element2DC0LinearQuadrilateral::GetLocalFromGlobalCoordinates	(	const VectorType &	globalPt,
		VectorType &	localPt
	)		const [virtual]

Convert from global to local coordinates

Implements itk::fem::Element.

virtual const char* itk::fem::Element2DC0LinearQuadrilateral::GetNameOfClass

(

)

const [virtual]

Run-time type information (and related methods).

Reimplemented from itk::fem::ElementStd< 4, 2 >.

Reimplemented in itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStress, itk::fem::Element2DC0LinearQuadrilateralStrain, itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, and itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >.

virtual unsigned int itk::fem::Element2DC0LinearQuadrilateral::GetNumberOfIntegrationPoints

(

unsigned int

order

)

const [virtual]

Get the number of integration points

Implements itk::fem::Element.

void itk::fem::Element2DC0LinearQuadrilateral::InterpolationDerivs	(	const VectorType &	pcoords,
		VectorType &	derivs
	)		const

Interpolation Derivatives

void itk::fem::Element2DC0LinearQuadrilateral::InterpolationFunctions	(	const VectorType &	pcoords,
		VectorType &	sf
	)		const

Interpolation Functions

virtual void itk::fem::Element2DC0LinearQuadrilateral::PopulateEdgeIds

(

void

)

[protected, virtual]

Set the edge order and the points defining each edge

Implements itk::fem::Element.

virtual void itk::fem::Element2DC0LinearQuadrilateral::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const [protected, virtual]

Methods invoked by Print() to print information about the object including superclasses. Typically not called by the user (use Print() instead) but used in the hierarchical print process to combine the output of several classes.

Reimplemented from itk::fem::ElementStd< 4, 2 >.

Reimplemented in itk::fem::Element2DMembrane< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStrain< Element2DC0LinearQuadrilateral >, itk::fem::Element2DStress< Element2DC0LinearQuadrilateral >, itk::fem::Element2DC0LinearQuadrilateralMembrane, itk::fem::Element2DC0LinearQuadrilateralStress, and itk::fem::Element2DC0LinearQuadrilateralStrain.

virtual void itk::fem::Element2DC0LinearQuadrilateral::ShapeFunctionDerivatives	(	const VectorType &	pt,
		MatrixType &	shapeD
	)		const [virtual]

Return the shape functions derivatives in the shapeD matrix

Implements itk::fem::Element.

virtual VectorType itk::fem::Element2DC0LinearQuadrilateral::ShapeFunctions

(

const VectorType &

pt

)

const [virtual]

Methods related to the geometry of an element Return the shape functions used to interpolate across the element

Implements itk::fem::Element.

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

• itkFEMElement2DC0LinearQuadrilateral.h