itk::fem::Element2DC0QuadraticTriangular Class Reference

#include <itkFEMElement2DC0QuadraticTriangular.h>

Inheritance diagram for itk::fem::Element2DC0QuadraticTriangular:

Collaboration diagram for itk::fem::Element2DC0QuadraticTriangular:

List of all members.

Public Types
enum	{ DefaultIntegrationOrder = 2 }
typedef SmartPointer< const Self >	ConstPointer
typedef SmartPointer< Self >	Pointer
typedef Element2DC0QuadraticTriangular	Self
typedef TemplatedParentClass	Superclass
typedef ElementStd< 6, 2 >	TemplatedParentClass
Public Member Functions
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
virtual Float	JacobianDeterminant (const VectorType &pt, const MatrixType *pJ=0) const
virtual void	JacobianInverse (const VectorType &pt, MatrixType &invJ, const MatrixType *pJ=0) 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

6-noded, quadratic, C0 continuous finite element in 2D space that defines a triangle.

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

(0,1) 2 * |\ | \ | \ (0,0.5) 5 * * 4 (0.5, 0.5) | \ | \ *-----*-----* 0 3 1 (0,0) (0,0.5) (0,1)

This class defines the geometry of the FE problem. It must be combined with the physics component of the problem. This has already been done in the following classes:

See also:

Element2DC0QuadraticTriangularStrain

Element2DC0QuadraticTriangularStress

Definition at line 57 of file itkFEMElement2DC0QuadraticTriangular.h.

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Member Typedef Documentation

typedef SmartPointer<const Self> itk::fem::Element2DC0QuadraticTriangular::ConstPointer

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Reimplemented in itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, and itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 66 of file itkFEMElement2DC0QuadraticTriangular.h.

typedef SmartPointer<Self> itk::fem::Element2DC0QuadraticTriangular::Pointer

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Reimplemented in itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, and itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 65 of file itkFEMElement2DC0QuadraticTriangular.h.

typedef Element2DC0QuadraticTriangular itk::fem::Element2DC0QuadraticTriangular::Self

Standard class typedefs.

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Reimplemented in itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, and itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 62 of file itkFEMElement2DC0QuadraticTriangular.h.

typedef TemplatedParentClass itk::fem::Element2DC0QuadraticTriangular::Superclass

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Reimplemented in itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, and itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

Definition at line 64 of file itkFEMElement2DC0QuadraticTriangular.h.

typedef ElementStd<6, 2> itk::fem::Element2DC0QuadraticTriangular::TemplatedParentClass

Definition at line 63 of file itkFEMElement2DC0QuadraticTriangular.h.

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Member Enumeration Documentation

anonymous enum

Methods related to numeric integration

Enumerator:

DefaultIntegrationOrder

Definition at line 76 of file itkFEMElement2DC0QuadraticTriangular.h.

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Member Function Documentation

virtual void itk::fem::Element2DC0QuadraticTriangular::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::Element2DC0QuadraticTriangular::GetLocalFromGlobalCoordinates	(	const VectorType &	GlobalPt,
		VectorType &	LocalPt
	)		const [virtual]

Convert from global to local coordinates

Implements itk::fem::Element.

virtual const char* itk::fem::Element2DC0QuadraticTriangular::GetNameOfClass

(

)

const [virtual]

Run-time type information (and related methods).

Reimplemented from itk::fem::ElementStd< 6, 2 >.

Reimplemented in itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, and itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.

virtual unsigned int itk::fem::Element2DC0QuadraticTriangular::GetNumberOfIntegrationPoints

(

unsigned int

order

)

const [virtual]

Get the number of integration points

Implements itk::fem::Element.

virtual Float itk::fem::Element2DC0QuadraticTriangular::JacobianDeterminant	(	const VectorType &	pt,
		const MatrixType *	pJ = 0
	)		const [virtual]

Compute the determinant of the Jacobian matrix at a given point with respect to the local coordinate system.

Parameters:

pt	Point in local element coordinates.
pJ	Optional pointer to Jacobian matrix computed at point pt. If this is set to 0, the Jacobian will be computed as necessary.

Reimplemented from itk::fem::Element.

virtual void itk::fem::Element2DC0QuadraticTriangular::JacobianInverse	(	const VectorType &	pt,
		MatrixType &	invJ,
		const MatrixType *	pJ = 0
	)		const [virtual]

Compute the inverse of the Jacobian matrix

Reimplemented from itk::fem::Element.

virtual void itk::fem::Element2DC0QuadraticTriangular::PopulateEdgeIds

(

void

)

[protected, virtual]

Set the edge order and the points defining each edge

Implements itk::fem::Element.

virtual void itk::fem::Element2DC0QuadraticTriangular::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< 6, 2 >.

Reimplemented in itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, itk::fem::Element2DStress< Element2DC0QuadraticTriangular >, itk::fem::Element2DC0QuadraticTriangularStrain, and itk::fem::Element2DC0QuadraticTriangularStress.

virtual void itk::fem::Element2DC0QuadraticTriangular::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::Element2DC0QuadraticTriangular::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:

• itkFEMElement2DC0QuadraticTriangular.h