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

#include <itkFEMElement3DC0LinearTriangular.h>

Inheritance diagram for itk::fem::Element3DC0LinearTriangular:

Collaboration diagram for itk::fem::Element3DC0LinearTriangular:

Public Types
enum	{ DefaultIntegrationOrder = 1 }
typedef SmartPointer< const Self >	ConstPointer
typedef SmartPointer< Self >	Pointer
typedef Element3DC0LinearTriangular	Self
typedef TemplatedParentClass	Superclass
typedef ElementStd< 3, 3 >	TemplatedParentClass
Public Member Functions
void	ComputeNormalDirection (const VectorType &v1, const VectorType &v2, const VectorType &v3, VectorType &n) const
itk::fem::Element::Float	Determinant2x2 (const VectorType &c1, const VectorType &c2) const
void	GeneralizedProjectPoint (const VectorType &x, const VectorType &origin, const VectorType &normal, VectorType &xproj) 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
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	PopulateEdgeIds ()
virtual void	ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const
virtual VectorType	ShapeFunctions (const VectorType &pt) const
Static Public Attributes
static const unsigned int	Nip [6]
static const Float	trigGaussRuleInfo [6][7][4]
Protected Member Functions
virtual void	PrintSelf (std::ostream &os, Indent indent) const

Detailed Description

3-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:

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

Definition at line 51 of file itkFEMElement3DC0LinearTriangular.h.

Member Typedef Documentation

typedef SmartPointer<const Self> itk::fem::Element3DC0LinearTriangular::ConstPointer

Reimplemented from itk::fem::ElementStd< 3, 3 >.

Reimplemented in itk::fem::Element3DC0LinearTriangularLaplaceBeltrami, itk::fem::Element3DC0LinearTriangularMembrane, itk::fem::Element3DMembrane< Element3DC0LinearTriangular >, and itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >.

Definition at line 59 of file itkFEMElement3DC0LinearTriangular.h.

typedef SmartPointer<Self> itk::fem::Element3DC0LinearTriangular::Pointer

Reimplemented from itk::fem::ElementStd< 3, 3 >.

Reimplemented in itk::fem::Element3DC0LinearTriangularLaplaceBeltrami, itk::fem::Element3DC0LinearTriangularMembrane, itk::fem::Element3DMembrane< Element3DC0LinearTriangular >, and itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >.

Definition at line 58 of file itkFEMElement3DC0LinearTriangular.h.

typedef Element3DC0LinearTriangular itk::fem::Element3DC0LinearTriangular::Self

Standard class typedefs.

Reimplemented from itk::fem::ElementStd< 3, 3 >.

Reimplemented in itk::fem::Element3DC0LinearTriangularLaplaceBeltrami, itk::fem::Element3DC0LinearTriangularMembrane, itk::fem::Element3DMembrane< Element3DC0LinearTriangular >, and itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >.

Definition at line 55 of file itkFEMElement3DC0LinearTriangular.h.

typedef TemplatedParentClass itk::fem::Element3DC0LinearTriangular::Superclass

Reimplemented from itk::fem::ElementStd< 3, 3 >.

Reimplemented in itk::fem::Element3DC0LinearTriangularLaplaceBeltrami, itk::fem::Element3DC0LinearTriangularMembrane, itk::fem::Element3DMembrane< Element3DC0LinearTriangular >, and itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >.

Definition at line 57 of file itkFEMElement3DC0LinearTriangular.h.

typedef ElementStd<3, 3> itk::fem::Element3DC0LinearTriangular::TemplatedParentClass

Definition at line 56 of file itkFEMElement3DC0LinearTriangular.h.

Member Enumeration Documentation

anonymous enum

Enumerator:

DefaultIntegrationOrder

Definition at line 69 of file itkFEMElement3DC0LinearTriangular.h.

Member Function Documentation

void itk::fem::Element3DC0LinearTriangular::ComputeNormalDirection	(	const VectorType &	v1,
		const VectorType &	v2,
		const VectorType &	v3,
		VectorType &	n
	)		const

Normal of the triangle element

itk::fem::Element::Float itk::fem::Element3DC0LinearTriangular::Determinant2x2	(	const VectorType &	c1,
		const VectorType &	c2
	)		const

Return the determinate of a 2x2 matrix

void itk::fem::Element3DC0LinearTriangular::GeneralizedProjectPoint	(	const VectorType &	x,
		const VectorType &	origin,
		const VectorType &	normal,
		VectorType &	xproj
	)		const

Project the point x onto the plane containing the triangle element

virtual void itk::fem::Element3DC0LinearTriangular::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::Element3DC0LinearTriangular::GetLocalFromGlobalCoordinates	(	const VectorType &	globalPt,
		VectorType &	localPt
	)		const `[virtual]`

Convert from global to local coordinates

Implements itk::fem::Element.

virtual const char* itk::fem::Element3DC0LinearTriangular::GetNameOfClass ( ) const [virtual]

Run-time type information (and related methods).

Reimplemented from itk::fem::ElementStd< 3, 3 >.

Reimplemented in itk::fem::Element3DC0LinearTriangularLaplaceBeltrami, itk::fem::Element3DC0LinearTriangularMembrane, itk::fem::Element3DMembrane< Element3DC0LinearTriangular >, and itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >.

virtual unsigned int itk::fem::Element3DC0LinearTriangular::GetNumberOfIntegrationPoints ( unsigned int order ) const [virtual]

Get the number of integration points

Implements itk::fem::Element.

virtual Float itk::fem::Element3DC0LinearTriangular::JacobianDeterminant	(	const VectorType &	pt,
		const MatrixType *	pJ = `0`
	)		const `[virtual]`

Compute the determinate of the Jacobian matrix

Reimplemented from itk::fem::Element.

virtual void itk::fem::Element3DC0LinearTriangular::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::Element3DC0LinearTriangular::PopulateEdgeIds ( ) [virtual]

Define the edges and nodes that correspond to the edges

Implements itk::fem::Element.

virtual void itk::fem::Element3DC0LinearTriangular::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< 3, 3 >.

Reimplemented in itk::fem::Element3DC0LinearTriangularLaplaceBeltrami, itk::fem::Element3DC0LinearTriangularMembrane, itk::fem::Element3DMembrane< Element3DC0LinearTriangular >, and itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >.