ITK  4.1.0
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 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

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  ) [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.

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: