itk::fem Namespace Reference

Classes
class	Element
	Abstract base element class. More...
class	Element1DStress
	Class that is used to define linear elasticity problem in 1D space. More...
class	Element2DC0LinearLine
	2-noded, linear, C0 continuous line element in 2D space. takes loads only along the length of the axis More...
class	Element2DC0LinearLineStress
	2-noded finite element class in 2D space for linear elasticity problem. More...
class	Element2DC0LinearQuadrilateral
	4-noded, linear, C0 continuous finite element in 2D space.The ordering of the nodes is counter clockwise. That is the nodes should be defined in the following order: More...
class	Element2DC0LinearQuadrilateralMembrane
	4-noded finite element class in 2D space. More...
class	Element2DC0LinearQuadrilateralStrain
	4-noded finite element class in 2D space for linear elasticity problemThe ordering of the nodes is counter clockwise. That is the nodes should be defined in the following order: More...
class	Element2DC0LinearQuadrilateralStress
	4-noded finite element class in 2D space. More...
class	Element2DC0LinearTriangular
	3-noded, linear, C0 continuous finite element in 2D space.The ordering of the nodes is counter clockwise. That is the nodes should be defined in the following order: More...
class	Element2DC0LinearTriangularMembrane
	3-noded finite element class in 2D space. More...
class	Element2DC0LinearTriangularStrain
	3-noded finite element class in 2D space for linear elasticity problem. More...
class	Element2DC0LinearTriangularStress
	3-noded finite element class in 2D space for linear elasticity problem. More...
class	Element2DC0QuadraticTriangular
	6-noded, quadratic, C0 continuous finite element in 2D space that defines a triangle. More...
class	Element2DC0QuadraticTriangularStrain
	6-noded finite element class in 2D space for linear elasticity problem that defines a triangle element. More...
class	Element2DC0QuadraticTriangularStress
	6-noded finite element class in 2D space for linear elasticity problem. The constitutive equation used is for plane stress. More...
class	Element2DC1Beam
	1D Beam (spring that also bends) finite element in 2D space. More...
class	Element2DMembrane
	Class that is used to define a membrane energy problem in 2D space. More...
class	Element2DStrain
	Class that is used to define linear elasticity problem in 2D space. More...
class	Element2DStress
	Class that is used to define linear elasticity problem in 2D space. More...
class	Element3DC0LinearHexahedron
	8-noded, linear, C0 continuous finite element in 3D space. More...
class	Element3DC0LinearHexahedronMembrane
	8-noded finite element class in 3D space. The constitutive equation used is from membrane bending energy. More...
class	Element3DC0LinearHexahedronStrain
	8-noded finite element class in 3D space. The constitutive equation used is from linear elasticity theory. More...
class	Element3DC0LinearTetrahedron
	4-noded, linear, C0 continuous finite element in 3D space. More...
class	Element3DC0LinearTetrahedronMembrane
	4-noded finite element class in 3D space. The constitutive equation used is from membrane bending energy. More...
class	Element3DC0LinearTetrahedronStrain
	4-noded finite element class in 3D space for linear elasticity problem More...
class	Element3DC0LinearTriangular
	3-noded, linear, C0 continuous finite element in 2D space. More...
class	Element3DC0LinearTriangularLaplaceBeltrami
	3-noded finite element class in 3D space for surface LaplaceBeltrami problem. More...
class	Element3DC0LinearTriangularMembrane
	3-noded finite element class in 3D space for surface membrane problem. More...
class	Element3DMembrane
	Class that is used to define a membrane energy problem in 3D space. More...
class	Element3DMembrane1DOF
	Class that is used to define a membrane energy problem in 3D space. More...
class	Element3DStrain
	Class that is used to define linear elasticity problem in 3D space. More...
class	ElementStd
	Implements standard node management in the element classes. More...
class	FEMException
	Base class for all exception's that can occur within FEM classes. More...
class	FEMExceptionIO
	Base class for all IO exception's that can occur within FEM classe. More...
class	FEMExceptionItpackSolver
	handles errors that occur in itpack solving routines More...
class	FEMExceptionItpackSparseMatrixSbagn
	handles errors that occur when unfinalizing the matrix More...
class	FEMExceptionItpackSparseMatrixSbsij
	handles errors that occur when building the matrix More...
class	FEMExceptionLinearSystem
class	FEMExceptionLinearSystemBounds
class	FEMExceptionObjectNotFound
	Object not found exception. More...
class	FEMExceptionSolution
	Base class for all exceptions that can occur when solving FEM problem. More...
class	FEMExceptionWrongClass
	Bad object exception. More...
class	FEMLightObject
	Base class for all classes that define the FEM system. More...
class	FEMObject
	Implements N-dimensional Finite element (FE) models including elements, materials, and loads. More...
class	FEMP
	Pointer used to store polymorphic elements in STL arrays. More...
class	FEMPArray
	Array for FEMP objects. More...
class	FEMRegistrationFilter
	FEM Image registration filter. The image registration problem is modeled here with the finite element method. Image registration is, in general, an ill-posed problem. Thus, we use an optimization scheme where the optimization criterion is given by a regularized variational energy. The variational energy arises from modeling the image as a physical body on which external forces act. The body is allowed to deform so as to minimize the applied force. The resistance of the physical body to deformation, determined by the physics associated with the body, serves to regularize the solution. The forces applied to the body are, generally, highly non-linear and so the body is allowed to deform slowly and incrementally. The direction it deforms follows the gradient of the potential energy (the force) we define. The potential energies we may choose from are given by the itk image-to-image metrics. The choices and the associated direction of descent are : Mean Squares (minimize), Normalized Cross-Correlation (maximize), and Mutual Information (maximize). Note that we have to set the direction (SetDescentDirection) when we choose a metric. More...
class	FiniteDifferenceFunctionLoad
	General image pair load that uses the itkFiniteDifferenceFunctions. More...
class	GaussIntegrate
	Use the Gauss-Legendre formula to perform integration. More...
class	ImageMetricLoad
	General image pair load that uses the itkImageToImageMetrics. More...
class	ImageToRectilinearFEMObjectFilter
	Generate a rectilinar mesh from an image. The result is stored in a FEMObject. More...
class	ItpackSparseMatrix
	a compressed row sparse matrix representation that makes use of itpack to dynamically assemble the matrix More...
class	LinearSystemWrapper
	Defines all functions required by Solver class to allocate, assemble and solve a linear system of equation. More...
class	LinearSystemWrapperDenseVNL
	LinearSystemWrapper class that uses VNL numeric library functions to define a sparse linear system of equations. More...
class	LinearSystemWrapperItpack
	LinearSystemWrapper class that uses Itpack numeric library functions to define and solve a sparse linear system of equations. More...
class	LinearSystemWrapperVNL
	LinearSystemWrapper class that uses VNL numeric library functions to define a sparse linear system of equations. More...
class	Load
	General abstract load base class. More...
class	LoadBC
	Generic essential (Dirichlet) boundary conditions. More...
class	LoadBCMFC
	Generic linear multi freedom displacement constraint in global coordinate system. More...
class	LoadEdge
	A generic load that can be applied to an edge of the element. More...
class	LoadElement
	Virtual element load base class. More...
class	LoadGrav
	Abstract gravity load class. More...
class	LoadGravConst
	Constant gravity load class. More...
class	LoadLandmark
	This load is derived from the motion of a specific landmark. More...
class	LoadNode
	This load is applied on a specific point within the system. More...
class	LoadPoint
	This load is applied on a point in an element. More...
class	LoadTest
	Example to show how to define templated load classes. More...
class	Material
	Base class for storing all the implicit material and other properties required to fully define the element class. More...
class	MaterialLinearElasticity
	Linear elasticity material class. More...
class	Solution
	Provides functions to access the values of the solution vector. More...
class	Solver
	FEM solver used to generate a solution for a FE formulation. More...
class	SolverCrankNicolson
	FEM Solver for time dependent problems; uses Crank-Nicolson implicit discretization scheme. More...
class	SolverHyperbolic
	Solver class suitable for hyperbolic problems.M*ddu + C*du + K*u=F. More...