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

#include <itkFEMElement3DC0LinearHexahedron.h>

Inheritance diagram for itk::fem::Element3DC0LinearHexahedron:

Collaboration diagram for itk::fem::Element3DC0LinearHexahedron:

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef SmartPointer< Self >	Pointer
typedef Element3DC0LinearHexahedron	Self
typedef TemplatedParentClass	Superclass
typedef ElementStd< 8, 3 >	TemplatedParentClass
Public Member Functions
Float	Determinant3x3 (const VectorType &c1, const VectorType &c2, const VectorType &c3) 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

Detailed Description

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

The ordering of the nodes should be defined in the following order:

5 (0,1,1) 6 (1,1,1) *------------------------* /| /| / | / | / | / | / | / | / | (1,1,0) 7 / | (0,1,0) 4*------------------------* | | 1* ---------------- | ----*2 (1,0,1) | / (0,0,1) | / | / | / | / | / | / | / |/ |/ *------------------------* 0 3 (0,0,0) (1,0)

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:: Element3DC0LinearHexahedronMembrane; Element3DC0LinearHexahedronStrain

Definition at line 63 of file itkFEMElement3DC0LinearHexahedron.h.

Member Typedef Documentation

typedef SmartPointer<const Self> itk::fem::Element3DC0LinearHexahedron::ConstPointer

Reimplemented from itk::fem::ElementStd< 8, 3 >.

Reimplemented in itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, and itk::fem::Element3DStrain< Element3DC0LinearHexahedron >.

Definition at line 72 of file itkFEMElement3DC0LinearHexahedron.h.

typedef SmartPointer<Self> itk::fem::Element3DC0LinearHexahedron::Pointer

Reimplemented from itk::fem::ElementStd< 8, 3 >.

Reimplemented in itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, and itk::fem::Element3DStrain< Element3DC0LinearHexahedron >.

Definition at line 71 of file itkFEMElement3DC0LinearHexahedron.h.

typedef Element3DC0LinearHexahedron itk::fem::Element3DC0LinearHexahedron::Self

Standard class typedefs.

Reimplemented from itk::fem::ElementStd< 8, 3 >.

Reimplemented in itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, and itk::fem::Element3DStrain< Element3DC0LinearHexahedron >.

Definition at line 68 of file itkFEMElement3DC0LinearHexahedron.h.

typedef TemplatedParentClass itk::fem::Element3DC0LinearHexahedron::Superclass

Reimplemented from itk::fem::ElementStd< 8, 3 >.

Reimplemented in itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, and itk::fem::Element3DStrain< Element3DC0LinearHexahedron >.

Definition at line 70 of file itkFEMElement3DC0LinearHexahedron.h.

typedef ElementStd<8, 3> itk::fem::Element3DC0LinearHexahedron::TemplatedParentClass

Definition at line 69 of file itkFEMElement3DC0LinearHexahedron.h.

Member Function Documentation

Float itk::fem::Element3DC0LinearHexahedron::Determinant3x3	(	const VectorType &	c1,
		const VectorType &	c2,
		const VectorType &	c3
	)		const

virtual void itk::fem::Element3DC0LinearHexahedron::GetIntegrationPointAndWeight	(	unsigned int	i,
		VectorType &	pt,
		Float &	w,
		unsigned int	order
	)		const `[virtual]`

Methods related to numeric integration

Implements itk::fem::Element.

virtual bool itk::fem::Element3DC0LinearHexahedron::GetLocalFromGlobalCoordinates	(	const VectorType &	globalPt,
		VectorType &	localPt
	)		const `[virtual]`

Convert from global to local coordinates

Implements itk::fem::Element.

virtual const char* itk::fem::Element3DC0LinearHexahedron::GetNameOfClass ( ) const [virtual]

Run-time type information (and related methods).

Reimplemented from itk::fem::ElementStd< 8, 3 >.

Reimplemented in itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, and itk::fem::Element3DStrain< Element3DC0LinearHexahedron >.

virtual unsigned int itk::fem::Element3DC0LinearHexahedron::GetNumberOfIntegrationPoints ( unsigned int order ) const [virtual]

Returns total number of integration points, for given order of Gauss-Legendre numerical integration rule.

Note:: This function must be implemented in derived element classes, and is expected to provide valid number of integration points for up to gaussMaxOrder-th order of integration.

See also:: GetIntegrationPointAndWeight()

Implements itk::fem::Element.

void itk::fem::Element3DC0LinearHexahedron::InterpolationDerivs	(	const VectorType &	pcoords,
		VectorType &	derivs
	)		const

void itk::fem::Element3DC0LinearHexahedron::InterpolationFunctions	(	const VectorType &	pcoords,
		VectorType &	sf
	)		const

Methods used in computing parametric/local coordinates given global coordinates.

virtual void itk::fem::Element3DC0LinearHexahedron::PopulateEdgeIds ( void ) [protected, virtual]

Set the edge order and the points defining each edge

Implements itk::fem::Element.

virtual void itk::fem::Element3DC0LinearHexahedron::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< 8, 3 >.

Reimplemented in itk::fem::Element3DC0LinearHexahedronMembrane, itk::fem::Element3DC0LinearHexahedronStrain, itk::fem::Element3DMembrane< Element3DC0LinearHexahedron >, and itk::fem::Element3DStrain< Element3DC0LinearHexahedron >.

virtual void itk::fem::Element3DC0LinearHexahedron::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::Element3DC0LinearHexahedron::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.

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

itkFEMElement3DC0LinearHexahedron.h

Public Types

Public Member Functions

Protected Member Functions

Detailed Description

Member Typedef Documentation

Member Function Documentation