ITK  4.1.0
Insight Segmentation and Registration Toolkit
Public Types | Public Member Functions | Protected Member Functions
itk::fem::Element3DC0LinearHexahedron Class Reference

#include <itkFEMElement3DC0LinearHexahedron.h>

+ Inheritance diagram for itk::fem::Element3DC0LinearHexahedron:
+ Collaboration diagram for itk::fem::Element3DC0LinearHexahedron:

List of all members.

Public Types

typedef SmartPointer< const SelfConstPointer
typedef SmartPointer< SelfPointer
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

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]
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.

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

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.

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: