FEM solver used to generate a solution for a FE formulation. More...

#include <itkFEMSolver.h>

Inheritance diagram for itk::fem::Solver< VDimension >:

Collaboration diagram for itk::fem::Solver< VDimension >:

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef DataObject::Pointer	DataObjectPointer
typedef Element::ArrayType	ElementArray
typedef FEMObjectType::ConstPointer	FEMObjectConstPointer
typedef FEMObjectType::Pointer	FEMObjectPointer
typedef itk::fem::FEMObject < VDimension >	FEMObjectType
typedef Element::Float	Float
typedef InterpolationGridType::DirectionType	InterpolationGridDirectionType
typedef InterpolationGridType::IndexType	InterpolationGridIndexType
typedef InterpolationGridType::Pointer	InterpolationGridPointerType
typedef InterpolationGridType::PointType	InterpolationGridPointType
typedef InterpolationGridType::RegionType	InterpolationGridRegionType
typedef InterpolationGridType::SizeType	InterpolationGridSizeType
typedef InterpolationGridType::SpacingType	InterpolationGridSpacingType
typedef itk::Image < Element::ConstPointer, VDimension >	InterpolationGridType
typedef Load::ArrayType	LoadArray
typedef Material::ArrayType	MaterialArray
typedef Element::Node::ArrayType	NodeArray
typedef SmartPointer< Self >	Pointer
typedef Solver	Self
typedef ProcessObject	Superclass
typedef Element::VectorType	VectorType
Public Member Functions
virtual ::itk::LightObject::Pointer	CreateAnother (void) const
Float	GetDeformationEnergy (unsigned int SolutionIndex=0)
virtual InterpolationGridDirectionType	GetDirection ()
const Element *	GetElementAtPoint (const VectorType &pt) const
FEMObjectType *	GetInput (unsigned int idx)
FEMObjectType *	GetInput (void)
LinearSystemWrapper::Pointer	GetLinearSystemWrapper ()
virtual const char *	GetNameOfClass () const
virtual InterpolationGridPointType	GetOrigin ()
virtual InterpolationGridRegionType	GetRegion ()
Float	GetSolution (unsigned int i, unsigned int which=0)
virtual InterpolationGridSpacingType	GetSpacing ()
virtual Float	GetTimeStep (void) const
void	InitializeInterpolationGrid (const InterpolationGridSizeType &size, const InterpolationGridPointType &bb1, const InterpolationGridPointType &bb2)
virtual void	SetDirection (InterpolationGridDirectionType _arg)
virtual void	SetInput (unsigned int, FEMObjectType *fem)
virtual void	SetInput (FEMObjectType *fem)
void	SetLinearSystemWrapper (LinearSystemWrapper::Pointer ls)
virtual void	SetOrigin (InterpolationGridPointType _arg)
virtual void	SetRegion (InterpolationGridRegionType _arg)
virtual void	SetSpacing (InterpolationGridSpacingType _arg)
virtual void	SetTimeStep (Float dt)
Static Public Member Functions
static Pointer	New ()
Static Public Attributes
static const unsigned int	FEMDimension = VDimension
static const unsigned int	MaxDimensions = 3
typedef ProcessObject::DataObjectPointerArraySizeType	DataObjectPointerArraySizeType
unsigned int	m_NGFN
unsigned int	m_NMFC
LinearSystemWrapper::Pointer	m_ls
LinearSystemWrapperVNL	m_lsVNL
InterpolationGridPointerType	m_InterpolationGrid
FEMObjectPointer	m_FEMObject
InterpolationGridRegionType	m_Region
InterpolationGridPointType	m_Origin
InterpolationGridSpacingType	m_Spacing
InterpolationGridDirectionType	m_Direction
void	InitializeInterpolationGrid (const InterpolationGridSizeType &size)
void	InitializeInterpolationGrid (const InterpolationGridRegionType &region, const InterpolationGridPointType &origin, const InterpolationGridSpacingType &spacing, const InterpolationGridDirectionType &direction)
const InterpolationGridType *	GetInterpolationGrid (void) const
virtual DataObjectPointer	MakeOutput (DataObjectPointerArraySizeType)
FEMObjectType *	GetOutput (void)
FEMObjectType *	GetOutput (unsigned int idx)
	Solver ()
virtual	~Solver ()
void	PrintSelf (std::ostream &os, Indent indent) const
void	GenerateData ()
void	AssembleK ()
virtual void	InitializeMatrixForAssembly (unsigned int N)
virtual void	FinalizeMatrixAfterAssembly (void)
virtual void	AssembleElementMatrix (Element::Pointer e)
virtual void	AssembleLandmarkContribution (Element::ConstPointer e, float)
void	ApplyBC (int dim=0, unsigned int matrix=0)
void	AssembleF (int dim=0)
void	DecomposeK (void)
virtual void	RunSolver (void)
void	UpdateDisplacements (void)
void	FillInterpolationGrid (void)
virtual void	InitializeLinearSystemWrapper (void)
	Solver (const Self &)
void	operator= (const Self &)

Detailed Description

template<unsigned int VDimension = 3>
class itk::fem::Solver< VDimension >

FEM solver used to generate a solution for a FE formulation.

This class will solve the FE formulation provided in an FEMObject. The FEMObject containes the Elements, Material properties, Loads, and boundary conditions for the FE problem. The user can define properties of the solver including the time step using the SetTimeStep() method and the numerical solver via the SetLinearSystemWrapper() method. The output of the filter is the deformed FEMObject that also includes all of the loads and boundary conditions.

Inputs and Usage: The standard way to setup a FE problem in ITK is to use the following approach.

       typedef itk::fem::FEMObject<3>    FEMObjectType;
       FEMObjectObjectType::Pointer fem = FEMObjectObjectType::New();
       ...
       typedef itk::fem::Solver<3>    FEMSolverType;
       FEMSolverType::Pointer solver = FEMSolverType::New();

       solver->SetInput( fem );
       solver->Update( );
       FEMSolverType::Pointer defem = solver->GetOutput( );
   ...

The solution generated by the SOlver can also be acquired using the GetSolution() method. The FEM can be saved in a file using the spatial objects and the Meta I/O library.

Definition at line 69 of file itkFEMSolver.h.

Member Typedef Documentation

template<unsigned int VDimension = 3>

typedef SmartPointer<const Self> itk::fem::Solver< VDimension >::ConstPointer

Reimplemented from itk::ProcessObject.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

Definition at line 77 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef DataObject::Pointer itk::fem::Solver< VDimension >::DataObjectPointer

Smart Pointer type to a DataObject.

Reimplemented from itk::ProcessObject.

Definition at line 92 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef ProcessObject::DataObjectPointerArraySizeType itk::fem::Solver< VDimension >::DataObjectPointerArraySizeType

Make a DataObject of the correct type to be used as the specified output.

Reimplemented from itk::ProcessObject.

Definition at line 260 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Element::ArrayType itk::fem::Solver< VDimension >::ElementArray

Definition at line 98 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef FEMObjectType::ConstPointer itk::fem::Solver< VDimension >::FEMObjectConstPointer

Definition at line 91 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef FEMObjectType::Pointer itk::fem::Solver< VDimension >::FEMObjectPointer

Definition at line 90 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef itk::fem::FEMObject<VDimension> itk::fem::Solver< VDimension >::FEMObjectType

Smart Pointer type to a DataObject.

Definition at line 89 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Element::Float itk::fem::Solver< VDimension >::Float

Some convenient typedefs.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

Definition at line 95 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::DirectionType itk::fem::Solver< VDimension >::InterpolationGridDirectionType

Definition at line 112 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::IndexType itk::fem::Solver< VDimension >::InterpolationGridIndexType

Definition at line 111 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::Pointer itk::fem::Solver< VDimension >::InterpolationGridPointerType

Definition at line 106 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::PointType itk::fem::Solver< VDimension >::InterpolationGridPointType

Definition at line 109 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::RegionType itk::fem::Solver< VDimension >::InterpolationGridRegionType

Definition at line 108 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::SizeType itk::fem::Solver< VDimension >::InterpolationGridSizeType

Definition at line 107 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef InterpolationGridType::SpacingType itk::fem::Solver< VDimension >::InterpolationGridSpacingType

Definition at line 110 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef itk::Image<Element::ConstPointer, VDimension> itk::fem::Solver< VDimension >::InterpolationGridType

Type used to store interpolation grid

Definition at line 105 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Load::ArrayType itk::fem::Solver< VDimension >::LoadArray

Definition at line 99 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Material::ArrayType itk::fem::Solver< VDimension >::MaterialArray

Definition at line 100 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Element::Node::ArrayType itk::fem::Solver< VDimension >::NodeArray

Definition at line 97 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef SmartPointer<Self> itk::fem::Solver< VDimension >::Pointer

Reimplemented from itk::ProcessObject.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

Definition at line 76 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Solver itk::fem::Solver< VDimension >::Self

Standard class typedefs.

Reimplemented from itk::ProcessObject.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

Definition at line 74 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef ProcessObject itk::fem::Solver< VDimension >::Superclass

Reimplemented from itk::ProcessObject.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

Definition at line 75 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

typedef Element::VectorType itk::fem::Solver< VDimension >::VectorType

Definition at line 96 of file itkFEMSolver.h.

Constructor & Destructor Documentation

template<unsigned int VDimension = 3>

itk::fem::Solver< VDimension >::Solver ( ) [protected]

Make a DataObject of the correct type to be used as the specified output.

template<unsigned int VDimension = 3>

virtual itk::fem::Solver< VDimension >::~Solver ( ) [protected, virtual]

Make a DataObject of the correct type to be used as the specified output.

template<unsigned int VDimension = 3>

itk::fem::Solver< VDimension >::Solver ( const Self & ) [private]

Make a DataObject of the correct type to be used as the specified output.

Member Function Documentation

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::ApplyBC	(	int	dim = `0`,
		unsigned int	matrix = `0`
	)		`[protected]`

Apply the boundary conditions to the system.

Note:: This function must be called after AssembleK().

Parameters:

matrix	Index of a matrix, to which the BCs should be applied (master stiffness matrix). Normally this is zero, but in derived classes many matrices may be used and this index must be specified.
dim	This is a parameter that can be passed to the function and is normally used with isotropic elements to specify the dimension in which the DOF is fixed.

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::AssembleElementMatrix ( Element::Pointer e ) [protected, virtual]

Copy the element stiffness matrix into the correct position in the master stiffess matrix. Since more complex Solver classes may need to assemble many matrices and may also do some funky stuff to them, this function is virtual and can be overriden in a derived solver class.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::AssembleF ( int dim = 0 ) [protected]

Assemble the master force vector.

Parameters:

dim	This is a parameter that can be passed to the function and is normally used with isotropic elements to specify the dimension for which the master force vector should be assembled.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::AssembleK ( ) [protected]

System solver functions. Call all six functions below (in listed order) to solve system. Assign a global freedom numbers to each DOF in a system. This must be done before any other solve function can be called. Assemble the master stiffness matrix (also apply the MFCs to K)

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::AssembleLandmarkContribution	(	Element::ConstPointer	e,
		float
	)		`[protected, virtual]`

Add the contribution of the landmark-containing elements to the correct position in the master stiffess matrix. Since more complex Solver classes may need to assemble many matrices and may also do some funky stuff to them, this function is virtual and can be overriden in a derived solver class.

template<unsigned int VDimension = 3>

virtual::itk::LightObject::Pointer itk::fem::Solver< VDimension >::CreateAnother ( void ) const [virtual]

Create an object from an instance, potentially deferring to a factory. This method allows you to create an instance of an object that is exactly the same type as the referring object. This is useful in cases where an object has been cast back to a base class.

Reimplemented from itk::Object.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::DecomposeK ( void ) [protected]

Decompose matrix using svd, qr, whatever ... if needed

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::FillInterpolationGrid ( void ) [protected]

Fill the interpolation grid based on the current deformed grid

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::FinalizeMatrixAfterAssembly ( void ) [inline, protected, virtual]

This function is called after the assebly has been completed. In this class it is only used to apply the BCs. You may however use it to perform other stuff in derived solver classes.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

Definition at line 319 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::GenerateData ( ) [protected, virtual]

Method invoked by the pipeline in order to trigger the computation of the registration.

Reimplemented from itk::ProcessObject.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

Float itk::fem::Solver< VDimension >::GetDeformationEnergy ( unsigned int SolutionIndex = 0 )

Get the total deformation energy using the chosen solution

template<unsigned int VDimension = 3>

virtual InterpolationGridDirectionType itk::fem::Solver< VDimension >::GetDirection ( ) [virtual]

template<unsigned int VDimension = 3>

const Element* itk::fem::Solver< VDimension >::GetElementAtPoint ( const VectorType & pt ) const

Returns the pointer to the element which contains global point pt.

Parameters:

pt	Point in global coordinate system.

Note:: Interpolation grid must be initializes before you can call this function.

template<unsigned int VDimension = 3>

FEMObjectType* itk::fem::Solver< VDimension >::GetInput ( void )

template<unsigned int VDimension = 3>

FEMObjectType* itk::fem::Solver< VDimension >::GetInput ( unsigned int idx )

template<unsigned int VDimension = 3>

const InterpolationGridType* itk::fem::Solver< VDimension >::GetInterpolationGrid ( void ) const [inline]

Returns pointer to interpolation grid, which is an itk::Image of pointers to Element objects. Normally you would use physical coordinates to get specific points (pointers to elements) from the image. You can then use the Elemenet::InterpolateSolution member function on the returned element to obtain the solution at this point.

Note:: Physical coordinates in an image correspond to the global coordinate system in which the mesh (nodes) are.

Definition at line 252 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

LinearSystemWrapper::Pointer itk::fem::Solver< VDimension >::GetLinearSystemWrapper ( ) [inline]

Gets the LinearSystemWrapper object.

See also:: SetLinearSystemWrapper

Definition at line 196 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

virtual const char* itk::fem::Solver< VDimension >::GetNameOfClass ( ) const [virtual]

Run-time type information (and related methods).

Reimplemented from itk::ProcessObject.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

virtual InterpolationGridPointType itk::fem::Solver< VDimension >::GetOrigin ( ) [virtual]

template<unsigned int VDimension = 3>

FEMObjectType* itk::fem::Solver< VDimension >::GetOutput ( unsigned int idx )

Make a DataObject of the correct type to be used as the specified output.

template<unsigned int VDimension = 3>

FEMObjectType* itk::fem::Solver< VDimension >::GetOutput ( void )

Get the output data of this process object. The output of this function is not valid until an appropriate Update() method has been called, either explicitly or implicitly. Both the filter itself and the data object have Update() methods, and both methods update the data.

For Filters which have multiple outputs of different types, the GetOutput() method assumes the output is of OutputImageType. For the GetOutput(unsigned int) method, a dynamic_cast is performed incase the filter has outputs of different types or image types. Derived classes should have names get methods for these outputs.

template<unsigned int VDimension = 3>

virtual InterpolationGridRegionType itk::fem::Solver< VDimension >::GetRegion ( ) [virtual]

template<unsigned int VDimension = 3>

Float itk::fem::Solver< VDimension >::GetSolution	(	unsigned int	i,
		unsigned int	which = `0`
	)

Returns the Solution for the specified nodal point.

template<unsigned int VDimension = 3>

virtual InterpolationGridSpacingType itk::fem::Solver< VDimension >::GetSpacing ( ) [virtual]

template<unsigned int VDimension = 3>

virtual Float itk::fem::Solver< VDimension >::GetTimeStep ( void ) const [virtual]

Returns the time step used for dynamic problems.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::InitializeInterpolationGrid	(	const InterpolationGridSizeType &	size,
		const InterpolationGridPointType &	bb1,
		const InterpolationGridPointType &	bb2
	)

Initialize the interpolation grid. The interpolation grid is used to find elements that containg specific points in a mesh. The interpolation grid stores pointers to elements for each point on a grid thereby providing a fast way (lookup table) to perform interpolation of results.

Note:: Interpolation grid must be reinitialized each time a mesh changes.

Parameters:

size	Vector that represents number of points on a grid in each dimension.
bb1	Lower limit of a bounding box of a grid.
bb2	Upper limit of a bounding box of a grid.

See also:: GetInterpolationGrid

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::InitializeInterpolationGrid ( const InterpolationGridSizeType & size ) [inline]

Same as InitializeInterpolationGrid(size, {0,0...}, size);

Definition at line 219 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::InitializeInterpolationGrid	(	const InterpolationGridRegionType &	region,
		const InterpolationGridPointType &	origin,
		const InterpolationGridSpacingType &	spacing,
		const InterpolationGridDirectionType &	direction
	)

Initialize the interpolation grid, over the domain specified by the user

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::InitializeLinearSystemWrapper ( void ) [protected, virtual]

Performs any initialization needed for LinearSystemWrapper object i.e. sets the maximum number of matrices and vectors.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::InitializeMatrixForAssembly ( unsigned int N ) [protected, virtual]

This function is called before assembling the matrices. You can override it in a derived class to account for special needs.

Parameters:

N	Size of the matrix.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

virtual DataObjectPointer itk::fem::Solver< VDimension >::MakeOutput ( DataObjectPointerArraySizeType ) [virtual]

Make a DataObject of the correct type to be used as the specified output.

Reimplemented from itk::ProcessObject.

template<unsigned int VDimension = 3>

static Pointer itk::fem::Solver< VDimension >::New ( ) [static]

Method for creation through the object factory.

Reimplemented from itk::Object.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::operator= ( const Self & ) [private]

Make a DataObject of the correct type to be used as the specified output.

Reimplemented from itk::ProcessObject.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::PrintSelf	(	std::ostream &	os,
		Indent	indent
	)		const `[protected, virtual]`

Make a DataObject of the correct type to be used as the specified output.

Reimplemented from itk::ProcessObject.

Reimplemented in itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::RunSolver ( void ) [protected, virtual]

Solve for the displacement vector u. May be overriden in derived classes.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetDirection ( InterpolationGridDirectionType _arg ) [virtual]

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetInput ( FEMObjectType * fem ) [virtual]

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetInput	(	unsigned	int,
		FEMObjectType *	fem
	)		`[virtual]`

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::SetLinearSystemWrapper ( LinearSystemWrapper::Pointer ls )

Sets the LinearSystemWrapper object that will be used when solving the master equation. If this function is not called, a default VNL linear system representation will be used (class LinearSystemWrapperVNL).

Parameters:

ls	Pointer to an object of class which is derived from LinearSystemWrapper.

Note:: Once the LinearSystemWrapper object is changed, it is used until the member function SetLinearSystemWrapper is called again. Since LinearSystemWrapper object was created outside the Solver class, it should also be destroyed outside. Solver class will not destroy it when the Solver object is destroyed.

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetOrigin ( InterpolationGridPointType _arg ) [virtual]

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetRegion ( InterpolationGridRegionType _arg ) [virtual]

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetSpacing ( InterpolationGridSpacingType _arg ) [virtual]

template<unsigned int VDimension = 3>

virtual void itk::fem::Solver< VDimension >::SetTimeStep ( Float dt ) [virtual]

Sets the time step used for dynamic problems.

Parameters:

dt	New time step.

Reimplemented in itk::fem::SolverCrankNicolson< TDimension >, and itk::fem::SolverHyperbolic< TDimension >.

template<unsigned int VDimension = 3>

void itk::fem::Solver< VDimension >::UpdateDisplacements ( void ) [protected]

Copy solution vector u to the corresponding nodal values, which are stored in node objects). This is standard post processing of the solution.

Member Data Documentation

template<unsigned int VDimension = 3>

const unsigned int itk::fem::Solver< VDimension >::FEMDimension = VDimension [static]

Definition at line 85 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

InterpolationGridDirectionType itk::fem::Solver< VDimension >::m_Direction [private]

Make a DataObject of the correct type to be used as the specified output.

Definition at line 430 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

FEMObjectPointer itk::fem::Solver< VDimension >::m_FEMObject [protected]

Make a DataObject of the correct type to be used as the specified output.

Definition at line 419 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

InterpolationGridPointerType itk::fem::Solver< VDimension >::m_InterpolationGrid [protected]

An Image of pointers to Element objects that represents a grid used for interpolation of solution. Each Pixel in an image is a pointer to an Element object in which that pixel is located.

Definition at line 417 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

LinearSystemWrapper::Pointer itk::fem::Solver< VDimension >::m_ls [protected]

Pointer to LinearSystemWrapper object.

Definition at line 405 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

LinearSystemWrapperVNL itk::fem::Solver< VDimension >::m_lsVNL [protected]

LinearSystemWrapperVNL object that is used by default in Solver class.

Definition at line 410 of file itkFEMSolver.h.

template<unsigned int VDimension = 3>

unsigned int itk::fem::Solver< VDimension >::m_NGFN [protected]

Number of global degrees of freedom in a system