#include <itkFEMElement3DC0LinearTriangularLaplaceBeltrami.h>

Inheritance diagram for itk::fem::Element3DC0LinearTriangularLaplaceBeltrami:

Collaboration diagram for itk::fem::Element3DC0LinearTriangularLaplaceBeltrami:

Detailed Description

3-noded finite element class in 3D space for surface LaplaceBeltrami problem.

This class combines the geometry of the FE problem defined in Element3DC0LinearTriangular and the physics of the problem defined in Element3DMembrane1DOF

Definition at line 41 of file itkFEMElement3DC0LinearTriangularLaplaceBeltrami.h.

Public Types
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Element3DC0LinearTriangularLaplaceBeltrami	Self

typedef Element3DMembrane1DOF < Element3DC0LinearTriangular >	Superclass

Public Types inherited from itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >
typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::Float	Float

typedef Superclass::MatrixType	MatrixType

typedef SmartPointer< Self >	Pointer

typedef Element3DMembrane1DOF	Self

typedef Element3DC0LinearTriangular	Superclass

typedef Superclass::VectorType	VectorType

Public Types inherited from itk::fem::Element3DC0LinearTriangular
enum	{ DefaultIntegrationOrder = 1 }

typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef Element3DC0LinearTriangular	Self

typedef TemplatedParentClass	Superclass

typedef ElementStd< 3, 3 >	TemplatedParentClass

Public Types inherited from itk::fem::ElementStd< 3, 3 >
enum

enum

enum

typedef SmartPointer< const Self >	ConstPointer

typedef Superclass::DegreeOfFreedomIDType	DegreeOfFreedomIDType

typedef Superclass::Float	Float

typedef Superclass::LoadPointer	LoadPointer

typedef Superclass::LoadType	LoadType

typedef Superclass::MatrixType	MatrixType

typedef Superclass::Node	Node

typedef Superclass::NodeIDType	NodeIDType

typedef SmartPointer< Self >	Pointer

typedef ElementStd	Self

typedef Element	Superclass

typedef Superclass::VectorType	VectorType

Public Types inherited from itk::fem::Element
enum	{ InvalidDegreeOfFreedomID = 0xffffffff }

enum	{ gaussMaxOrder = 10 }

typedef FEMPArray< Element >	ArrayType

typedef VectorContainer < ElementIdentifier, Element::Pointer >	ArrayType1

typedef SmartPointer< const Self >	ConstPointer

typedef unsigned int	DegreeOfFreedomIDType

typedef unsigned long	ElementIdentifier

typedef double	Float

typedef vnl_matrix< Float >	MatrixType

typedef Node::ConstPointer	NodeIDType

typedef SmartPointer< Self >	Pointer

typedef Element	Self

typedef FEMLightObject	Superclass

typedef vnl_vector< Float >	VectorType

typedef FEMLightObject	LoadType

typedef LoadType::Pointer	LoadPointer

Public Types inherited from itk::fem::FEMLightObject
typedef Self	Baseclass

typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef FEMLightObject	Self

typedef itk::LightObject	Superclass

Public Types inherited from itk::LightObject
typedef SmartPointer< const Self >	ConstPointer

typedef SmartPointer< Self >	Pointer

typedef LightObject	Self

Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const

	Element3DC0LinearTriangularLaplaceBeltrami ()

	Element3DC0LinearTriangularLaplaceBeltrami (NodeIDType n1_, NodeIDType n2_, NodeIDType n3_, Material::ConstPointer p_)

virtual const char *	GetNameOfClass () const

virtual unsigned int	GetNumberOfDegreesOfFreedomPerNode (void) const

virtual void	GetStiffnessMatrix (MatrixType &Ke) const

Public Member Functions inherited from itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >
	Element3DMembrane1DOF ()

void	GetMassMatrix (MatrixType &Me) const

virtual Material::ConstPointer	GetMaterial (void) const

virtual void	GetMaterialMatrix (MatrixType &D) const

virtual void	GetStrainDisplacementMatrix (MatrixType &B, const MatrixType &shapeDgl) const

virtual void	SetMaterial (Material::ConstPointer mat_)

Public Member Functions inherited from itk::fem::Element3DC0LinearTriangular
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 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

Public Member Functions inherited from itk::fem::ElementStd< 3, 3 >
	ElementStd ()

virtual NodeIDType	GetNode (unsigned int n) const

virtual const VectorType &	GetNodeCoordinates (unsigned int n) const

virtual unsigned int	GetNumberOfNodes (void) const

virtual unsigned int	GetNumberOfSpatialDimensions () const

virtual void	SetNode (unsigned int n, NodeIDType node)

virtual void	SetNode (unsigned int n, typename Superclass::Node::Pointer node)

Public Member Functions inherited from itk::fem::Element
virtual std::vector < std::vector< int > >	GetEdgeIds (void) const

virtual Float	GetElementDeformationEnergy (MatrixType &LocalSolution) const

virtual VectorType	GetGlobalFromLocalCoordinates (const VectorType &pt) const

virtual void	GetLandmarkContributionMatrix (float eta, MatrixType &Le) const

virtual unsigned int	GetNumberOfDegreesOfFreedom (void) const

virtual VectorType	GetStrainsAtPoint (const VectorType &pt, const Solution &sol, unsigned int index) const

virtual VectorType	GetStressesAtPoint (const VectorType &pt, const VectorType &e, const Solution &sol, unsigned int index) const

virtual VectorType	InterpolateSolution (const VectorType &pt, const Solution &sol, unsigned int solutionIndex=0) const

virtual Float	InterpolateSolutionN (const VectorType &pt, const Solution &sol, unsigned int f, unsigned int solutionIndex=0) const

virtual void	Jacobian (const VectorType &pt, MatrixType &J, const MatrixType *pshapeD=0) const

virtual void	ShapeFunctionGlobalDerivatives (const VectorType &pt, MatrixType &shapeDgl, const MatrixType pJ=0, const MatrixType pshapeD=0) const

DegreeOfFreedomIDType	GetDegreeOfFreedom (unsigned int local_dof) const

Public Member Functions inherited from itk::fem::FEMLightObject
int	GetGlobalNumber () const

void	SetGlobalNumber (int)

Public Member Functions inherited from itk::LightObject
virtual void	Delete ()

virtual int	GetReferenceCount () const

	itkCloneMacro (Self)

void	Print (std::ostream &os, Indent indent=0) const

virtual void	Register () const

virtual void	SetReferenceCount (int)

virtual void	UnRegister () const

Static Public Member Functions
static Pointer	New ()

Protected Member Functions
virtual void	PrintSelf (std::ostream &os, Indent indent) const

Additional Inherited Members
Static Public Attributes inherited from itk::fem::Element3DC0LinearTriangular
static const unsigned int	Nip [6]

static const Float	trigGaussRuleInfo [6][7][4]

Protected Types inherited from itk::LightObject
typedef int	InternalReferenceCountType

Protected Attributes inherited from itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >
MaterialLinearElasticity::ConstPointer	m_Mat

Member Typedef Documentation

typedef SmartPointer<const Self> itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::ConstPointer

Definition at line 49 of file itkFEMElement3DC0LinearTriangularLaplaceBeltrami.h.

typedef SmartPointer<Self> itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::Pointer

Definition at line 48 of file itkFEMElement3DC0LinearTriangularLaplaceBeltrami.h.

typedef Element3DC0LinearTriangularLaplaceBeltrami itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::Self

Standard class typedefs.

Definition at line 46 of file itkFEMElement3DC0LinearTriangularLaplaceBeltrami.h.

typedef Element3DMembrane1DOF<Element3DC0LinearTriangular> itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::Superclass

Definition at line 47 of file itkFEMElement3DC0LinearTriangularLaplaceBeltrami.h.

Constructor & Destructor Documentation

itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::Element3DC0LinearTriangularLaplaceBeltrami ( )

Default constructor only clears the internal storage

itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::Element3DC0LinearTriangularLaplaceBeltrami	(	NodeIDType	n1_,
		NodeIDType	n2_,
		NodeIDType	n3_,
		Material::ConstPointer	p_
	)

Construct an element by specifying pointers to 3 points and a material.

Member Function Documentation

virtual::itk::LightObject::Pointer itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::CreateAnother ( void ) const

virtual

CreateAnother method will clone the existing instance of this type, including its internal member variables.

Reimplemented from itk::LightObject.

virtual const char* itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::GetNameOfClass ( ) const

virtual

Run-time type information (and related methods).

Reimplemented from itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >.

virtual unsigned int itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::GetNumberOfDegreesOfFreedomPerNode ( void ) const

inlinevirtual

Get the degress of freesom for each node

Reimplemented from itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >.

Definition at line 73 of file itkFEMElement3DC0LinearTriangularLaplaceBeltrami.h.

virtual void itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::GetStiffnessMatrix ( MatrixType & Ke ) const

virtual

Get the Stiffness matrix

Reimplemented from itk::fem::Element3DMembrane1DOF< Element3DC0LinearTriangular >.

static Pointer itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::New ( )

static

Method for creation through the object factory.

virtual void itk::fem::Element3DC0LinearTriangularLaplaceBeltrami::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const

protectedvirtual

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::Element3DMembrane1DOF< Element3DC0LinearTriangular >.

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

itkFEMElement3DC0LinearTriangularLaplaceBeltrami.h

Detailed Description

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Additional Inherited Members

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation