ITK
4.6.0
Insight Segmentation and Registration Toolkit
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#include <itkFEMElement2DC0QuadraticTriangular.h>
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:
Definition at line 57 of file itkFEMElement2DC0QuadraticTriangular.h.
Public Member Functions | |
virtual void | GetIntegrationPointAndWeight (unsigned int i, VectorType &pt, Float &w, unsigned int order) const ITK_OVERRIDE |
virtual bool | GetLocalFromGlobalCoordinates (const VectorType &GlobalPt, VectorType &LocalPt) const ITK_OVERRIDE |
virtual const char * | GetNameOfClass () const |
virtual unsigned int | GetNumberOfIntegrationPoints (unsigned int order) const ITK_OVERRIDE |
virtual Float | JacobianDeterminant (const VectorType &pt, const MatrixType *pJ=ITK_NULLPTR) const ITK_OVERRIDE |
virtual void | JacobianInverse (const VectorType &pt, MatrixType &invJ, const MatrixType *pJ=ITK_NULLPTR) const ITK_OVERRIDE |
virtual void | ShapeFunctionDerivatives (const VectorType &pt, MatrixType &shapeD) const ITK_OVERRIDE |
virtual VectorType | ShapeFunctions (const VectorType &pt) const ITK_OVERRIDE |
Public Member Functions inherited from itk::fem::ElementStd< 6, 2 > | |
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 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=ITK_NULLPTR) const |
virtual void | SetMaterial (Material::ConstPointer) |
virtual void | ShapeFunctionGlobalDerivatives (const VectorType &pt, MatrixType &shapeDgl, const MatrixType *pJ=ITK_NULLPTR, const MatrixType *pshapeD=ITK_NULLPTR) 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) ITK_OVERRIDE |
virtual void | PrintSelf (std::ostream &os, Indent indent) const ITK_OVERRIDE |
Protected Member Functions inherited from itk::fem::ElementStd< 6, 2 > | |
virtual void | SetNodeInternal (unsigned int n, const Node *node) |
Protected Member Functions inherited from itk::fem::FEMLightObject | |
FEMLightObject () | |
FEMLightObject (const FEMLightObject &o) | |
virtual | ~FEMLightObject () |
Protected Member Functions inherited from itk::LightObject | |
virtual LightObject::Pointer | InternalClone () const |
LightObject () | |
virtual void | PrintHeader (std::ostream &os, Indent indent) const |
virtual void | PrintTrailer (std::ostream &os, Indent indent) const |
virtual | ~LightObject () |
Additional Inherited Members | |
Static Public Member Functions inherited from itk::LightObject | |
static void | BreakOnError () |
static Pointer | New () |
Static Public Attributes inherited from itk::fem::Element | |
static const Float | gaussPoint [gaussMaxOrder+1][gaussMaxOrder] |
static const Float | gaussWeight [gaussMaxOrder+1][gaussMaxOrder] |
Protected Types inherited from itk::LightObject | |
typedef int | InternalReferenceCountType |
Protected Attributes inherited from itk::fem::ElementStd< 6, 2 > | |
const Node * | m_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 |
Definition at line 66 of file itkFEMElement2DC0QuadraticTriangular.h.
Definition at line 65 of file itkFEMElement2DC0QuadraticTriangular.h.
Standard class typedefs.
Definition at line 62 of file itkFEMElement2DC0QuadraticTriangular.h.
Definition at line 64 of file itkFEMElement2DC0QuadraticTriangular.h.
Definition at line 63 of file itkFEMElement2DC0QuadraticTriangular.h.
anonymous enum |
Methods related to numeric integration
Enumerator | |
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DefaultIntegrationOrder |
Definition at line 76 of file itkFEMElement2DC0QuadraticTriangular.h.
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Get the Integration point and weight
Implements itk::fem::Element.
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Convert from global to local coordinates
Implements itk::fem::Element.
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Run-time type information (and related methods).
Reimplemented from itk::fem::ElementStd< 6, 2 >.
Reimplemented in itk::fem::Element2DC0QuadraticTriangularStrain, itk::fem::Element2DC0QuadraticTriangularStress, itk::fem::Element2DStrain< Element2DC0QuadraticTriangular >, and itk::fem::Element2DStress< Element2DC0QuadraticTriangular >.
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Get the number of integration points
Implements itk::fem::Element.
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Compute the determinant of the Jacobian matrix at a given point with respect to the local coordinate system.
pt | Point in local element coordinates. |
pJ | Optional 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.
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Compute the inverse of the Jacobian matrix
Reimplemented from itk::fem::Element.
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protectedvirtual |
Set the edge order and the points defining each edge
Implements itk::fem::Element.
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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.
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Return the shape functions derivatives in the shapeD matrix
Implements itk::fem::Element.
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Methods related to the geometry of an elementReturn the shape functions used to interpolate across the element
Implements itk::fem::Element.