ITK  4.2.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Protected Member Functions
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 SelfConstPointer
typedef SmartPointer< SelfPointer
typedef
Element2DC0QuadraticTriangular 
Self
typedef TemplatedParentClass Superclass
typedef ElementStd< 6, 2 > TemplatedParentClass
- Public Types inherited from itk::fem::ElementStd< 6, 2 >
enum  
enum  
enum  
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 Superclass::VectorType VectorType
- Public Types inherited from itk::fem::Element
enum  { InvalidDegreeOfFreedomID = 0xffffffff }
enum  { gaussMaxOrder = 10 }
typedef FEMPArray< ElementArrayType
typedef VectorContainer
< ElementIdentifier,
Element::Pointer
ArrayType1
typedef unsigned long ElementIdentifier
- Public Types inherited from itk::fem::FEMLightObject
typedef Self Baseclass
- Public Types inherited from itk::LightObject

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
- Public Member Functions inherited from itk::fem::ElementStd< 6, 2 >
 ElementStd ()
virtual NodeIDType GetNode (unsigned int n) const
virtual const VectorTypeGetNodeCoordinates (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 void GetMassMatrix (MatrixType &Me) const
virtual Material::ConstPointer GetMaterial (void) const
virtual void GetMaterialMatrix (MatrixType &D) const =0
virtual unsigned int GetNumberOfDegreesOfFreedom (void) const
virtual unsigned int GetNumberOfDegreesOfFreedomPerNode (void) const =0
virtual void GetStiffnessMatrix (MatrixType &Ke) const
virtual void GetStrainDisplacementMatrix (MatrixType &B, const MatrixType &shapeDgl) const =0
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 SetMaterial (Material::ConstPointer)
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 Pointer CreateAnother () const
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

Protected Member Functions

virtual void PopulateEdgeIds (void)
virtual void PrintSelf (std::ostream &os, Indent indent) const
- Protected Member Functions inherited from itk::fem::ElementStd< 6, 2 >
virtual void SetNodeInternal (unsigned int n, const Node *node)

Additional Inherited Members

- Protected Attributes inherited from itk::fem::ElementStd< 6, 2 >
const Nodem_node [NumberOfNodes]
- Protected Attributes inherited from itk::fem::Element
std::vector< std::vector< int > > m_EdgeIds
- Protected Attributes inherited from itk::fem::FEMLightObject
int m_GlobalNumber
- Protected Attributes inherited from itk::LightObject
InternalReferenceCountType m_ReferenceCount
SimpleFastMutexLock m_ReferenceCountLock

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.


Member Typedef Documentation

Definition at line 63 of file itkFEMElement2DC0QuadraticTriangular.h.


Member Enumeration Documentation

anonymous enum

Methods related to numeric integration

Enumerator:
DefaultIntegrationOrder 

Definition at line 76 of file itkFEMElement2DC0QuadraticTriangular.h.


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
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:
ptPoint in local element coordinates.
pJOptional 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  )
protectedvirtual

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
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::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.


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