#include <itkFEMSolverCrankNicolson.h>

Inheritance diagram for itk::fem::SolverCrankNicolson< TDimension >:

Collaboration diagram for itk::fem::SolverCrankNicolson< TDimension >:

Public Types
typedef SmartPointer< const Self >	ConstPointer
typedef Element::Float	Float
typedef SmartPointer< Self >	Pointer
typedef SolverCrankNicolson	Self
typedef Solver< TDimension >	Superclass
Public Types inherited from itk::fem::Solver< TDimension >
typedef DataObject::Pointer	DataObjectPointer
typedef Element::ArrayType	ElementArray
typedef FEMObjectType::ConstPointer	FEMObjectConstPointer
typedef FEMObjectType::Pointer	FEMObjectPointer
typedef itk::fem::FEMObject < VDimension >	FEMObjectType
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 Element::VectorType	VectorType
typedef ProcessObject::DataObjectPointerArraySizeType	DataObjectPointerArraySizeType
Public Types inherited from itk::ProcessObject
typedef DataObject::DataObjectIdentifierType	DataObjectIdentifierType
typedef std::vector < DataObjectPointer >	DataObjectPointerArray
typedef std::vector < DataObjectIdentifierType >	NameArray
Public Types inherited from itk::Object
Public Types inherited from itk::LightObject

Public Member Functions
void	AddToDisplacements (Float optimum=1.0)
void	AverageLastTwoDisplacements (Float t=0.5)
Float	BrentsMethod (Float tol=0.01, unsigned int MaxIters=25)
Float	EvaluateResidual (Float t=1.0)
void	FindBracketingTriplet (Float a, Float b, Float *c)
Float	GetCurrentMaxSolution ()
Float	GetDeformationEnergy (Float t=1.0)
LinearSystemWrapper *	GetLS ()
virtual Float	GetTimeStep (void) const
Float	GoldenSection (Float tol=0.01, unsigned int MaxIters=25)
Float	GSMax (Float a, Float b)
Float	GSSign (Float a, Float b)
	itkGetConstMacro (Iterations, unsigned int)
	itkGetMacro (TotalSolutionIndex, unsigned int)
	itkGetMacro (SolutionTMinus1Index, unsigned int)
	itkNewMacro (Self)
	itkTypeMacro (SolverCrankNicolson, Solver< TDimension >)
void	PrintDisplacements ()
void	PrintForce ()
void	PrintMinMaxOfSolution ()
void	RecomputeForceVector (unsigned int index)
void	ResetIterations (void)
void	SetEnergyToMin (Float xmin)
virtual void	SetTimeStep (Float dt)
void	ZeroVector (int which=0)

	itkSetMacro (UseMassMatrix, bool)
	itkGetMacro (UseMassMatrix, bool)

	itkSetMacro (Alpha, Float)
	itkGetMacro (Alpha, Float)

	itkSetMacro (Rho, Float)
	itkGetMacro (Rho, Float)
Public Member Functions inherited from itk::fem::Solver< TDimension >
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 (void)
FEMObjectType *	GetInput (unsigned int idx)
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 ()
void	InitializeInterpolationGrid (const InterpolationGridSizeType &size, const InterpolationGridPointType &bb1, const InterpolationGridPointType &bb2)
virtual void	SetDirection (InterpolationGridDirectionType _arg)
virtual void	SetInput (FEMObjectType *fem)
virtual void	SetInput (unsigned int, FEMObjectType *fem)
void	SetLinearSystemWrapper (LinearSystemWrapper::Pointer ls)
virtual void	SetOrigin (InterpolationGridPointType _arg)
virtual void	SetRegion (InterpolationGridRegionType _arg)
virtual void	SetSpacing (InterpolationGridSpacingType _arg)
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)
Public Member Functions inherited from itk::ProcessObject
virtual void	AbortGenerateDataOff ()
virtual void	AbortGenerateDataOn ()
virtual void	EnlargeOutputRequestedRegion (DataObject *)
virtual const bool &	GetAbortGenerateData ()
NameArray	GetInputNames () const
MultiThreader *	GetMultiThreader () const
DataObjectPointerArraySizeType	GetNumberOfIndexedInputs () const
DataObjectPointerArraySizeType	GetNumberOfInputs () const
DataObjectPointerArraySizeType	GetNumberOfOutputs () const
virtual DataObjectPointerArraySizeType	GetNumberOfValidRequiredInputs () const
NameArray	GetOutputNames () const
virtual const float &	GetProgress ()
NameArray	GetRequiredInputNames () const
bool	HasInput (const DataObjectIdentifierType &key) const
bool	HasOutput (const DataObjectIdentifierType &key) const
virtual DataObjectPointer	MakeOutput (const DataObjectIdentifierType &)
virtual void	PrepareOutputs ()
virtual void	PropagateRequestedRegion (DataObject *output)
virtual void	ResetPipeline ()
virtual void	SetAbortGenerateData (bool _arg)
virtual void	SetProgress (float _arg)
virtual void	Update ()
virtual void	UpdateLargestPossibleRegion ()
virtual void	UpdateOutputData (DataObject *output)
virtual void	UpdateOutputInformation ()
void	UpdateProgress (float amount)
DataObjectPointerArray	GetInputs ()
DataObjectPointerArray	GetOutputs ()
DataObjectPointerArray	GetIndexedInputs ()
DataObjectPointerArray	GetIndexedOutputs ()
DataObjectPointerArraySizeType	GetNumberOfIndexedOutputs () const
virtual void	SetReleaseDataFlag (bool flag)
virtual bool	GetReleaseDataFlag () const
void	ReleaseDataFlagOn ()
void	ReleaseDataFlagOff ()
virtual void	SetReleaseDataBeforeUpdateFlag (bool _arg)
virtual const bool &	GetReleaseDataBeforeUpdateFlag ()
virtual void	ReleaseDataBeforeUpdateFlagOn ()
virtual void	ReleaseDataBeforeUpdateFlagOff ()
virtual void	SetNumberOfThreads (ThreadIdType _arg)
virtual const ThreadIdType &	GetNumberOfThreads ()
Public Member Functions inherited from itk::Object
unsigned long	AddObserver (const EventObject &event, Command *)
unsigned long	AddObserver (const EventObject &event, Command *) const
virtual void	DebugOff () const
virtual void	DebugOn () const
Command *	GetCommand (unsigned long tag)
bool	GetDebug () const
MetaDataDictionary &	GetMetaDataDictionary (void)
const MetaDataDictionary &	GetMetaDataDictionary (void) const
virtual unsigned long	GetMTime () const
virtual const TimeStamp &	GetTimeStamp () const
bool	HasObserver (const EventObject &event) const
void	InvokeEvent (const EventObject &)
void	InvokeEvent (const EventObject &) const
virtual void	Modified () const
virtual void	Register () const
void	RemoveAllObservers ()
void	RemoveObserver (unsigned long tag)
void	SetDebug (bool debugFlag) const
void	SetMetaDataDictionary (const MetaDataDictionary &rhs)
virtual void	SetReferenceCount (int)
virtual void	UnRegister () const
Public Member Functions inherited from itk::LightObject
virtual void	Delete ()
virtual int	GetReferenceCount () const
	itkCloneMacro (Self)
void	Print (std::ostream &os, Indent indent=0) const

Protected Member Functions
void	AssembleFforTimeStep (int dim=0)
void	AssembleKandM ()
void	GenerateData ()
void	InitializeForSolution ()
virtual void	RunSolver (void)
	SolverCrankNicolson ()
	~SolverCrankNicolson ()
	Solver ()
virtual	~Solver ()
void	PrintSelf (std::ostream &os, Indent indent) const
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)
void	UpdateDisplacements (void)
void	FillInterpolationGrid (void)
virtual void	InitializeLinearSystemWrapper (void)
Protected Member Functions inherited from itk::ProcessObject
virtual void	AddInput (DataObject *input)
virtual void	AddOutput (DataObject *output)
bool	AddRequiredInputName (const DataObjectIdentifierType &)
virtual void	CacheInputReleaseDataFlags ()
virtual void	GenerateInputRequestedRegion ()
virtual void	GenerateOutputInformation ()
virtual void	GenerateOutputRequestedRegion (DataObject *output)
virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredInputs ()
virtual const DataObjectPointerArraySizeType &	GetNumberOfRequiredOutputs ()
bool	IsIndexedName (const DataObjectIdentifierType &) const
bool	IsRequiredInputName (const DataObjectIdentifierType &) const
	itkLegacyMacro (virtual void RemoveInput(DataObject *input))
	itkLegacyMacro (virtual void RemoveOutput(DataObject *output))
	itkLegacyMacro (void SetNumberOfInputs(DataObjectPointerArraySizeType num))
	itkLegacyMacro (void SetNumberOfOutputs(DataObjectPointerArraySizeType num))
DataObjectPointerArraySizeType	MakeIndexFromName (const DataObjectIdentifierType &) const
DataObjectIdentifierType	MakeNameFromIndex (DataObjectPointerArraySizeType) const
	ProcessObject ()
virtual void	PropagateResetPipeline ()
virtual void	ReleaseInputs ()
virtual void	RemoveInput (const DataObjectIdentifierType &key)
virtual void	RemoveInput (DataObjectPointerArraySizeType)
virtual void	RemoveOutput (const DataObjectIdentifierType &key)
virtual void	RemoveOutput (DataObjectPointerArraySizeType idx)
bool	RemoveRequiredInputName (const DataObjectIdentifierType &)
virtual void	RestoreInputReleaseDataFlags ()
virtual void	SetInput (const DataObjectIdentifierType &key, DataObject *input)
virtual void	SetNthInput (DataObjectPointerArraySizeType num, DataObject *input)
virtual void	SetNthOutput (DataObjectPointerArraySizeType num, DataObject *output)
void	SetNumberOfIndexedInputs (DataObjectPointerArraySizeType num)
void	SetNumberOfIndexedOutputs (DataObjectPointerArraySizeType num)
virtual void	SetNumberOfRequiredInputs (DataObjectPointerArraySizeType)
virtual void	SetNumberOfRequiredOutputs (DataObjectPointerArraySizeType _arg)
virtual void	SetOutput (const DataObjectIdentifierType &key, DataObject *output)
virtual void	SetPrimaryInput (DataObject *input)
virtual void	SetPrimaryOutput (DataObject *output)
void	SetRequiredInputNames (const NameArray &)
virtual void	VerifyInputInformation ()
virtual void	VerifyPreconditions ()
	~ProcessObject ()
DataObject *	GetInput (const DataObjectIdentifierType &key)
const DataObject *	GetInput (const DataObjectIdentifierType &key) const
DataObject *	GetInput (DataObjectPointerArraySizeType)
const DataObject *	GetInput (DataObjectPointerArraySizeType idx) const
DataObject *	GetPrimaryInput ()
const DataObject *	GetPrimaryInput () const
DataObject *	GetOutput (const DataObjectIdentifierType &key)
const DataObject *	GetOutput (const DataObjectIdentifierType &key) const
DataObject *	GetOutput (DataObjectPointerArraySizeType idx)
const DataObject *	GetOutput (DataObjectPointerArraySizeType idx) const
DataObject *	GetPrimaryOutput ()
const DataObject *	GetPrimaryOutput () const
virtual void	PushBackInput (const DataObject *input)
virtual void	PopBackInput ()
virtual void	PushFrontInput (const DataObject *input)
virtual void	PopFrontInput ()
Protected Member Functions inherited from itk::Object
	Object ()
bool	PrintObservers (std::ostream &os, Indent indent) const
virtual void	SetTimeStamp (const TimeStamp &time)
virtual	~Object ()
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 ()

Protected Attributes
Float	m_Alpha
Float	m_CurrentMaxSolution
unsigned int	m_DifferenceMatrixIndex
unsigned int	m_DiffMatrixBySolutionTMinus1Index
unsigned int	m_ForceTIndex
unsigned int	m_ForceTMinus1Index
unsigned int	m_ForceTotalIndex
unsigned int	m_Iterations
Float	m_Rho
unsigned int	m_SolutionTIndex
unsigned int	m_SolutionTMinus1Index
unsigned int	m_SolutionVectorTMinus1Index
unsigned int	m_SumMatrixIndex
Float	m_TimeStep
unsigned int	m_TotalSolutionIndex
bool	m_UseMassMatrix
unsigned int	m_NGFN
unsigned int	m_NMFC
LinearSystemWrapper::Pointer	m_ls
LinearSystemWrapperVNL	m_lsVNL
InterpolationGridPointerType	m_InterpolationGrid
FEMObjectPointer	m_FEMObject
Protected Attributes inherited from itk::ProcessObject
bool	m_Updating
TimeStamp	m_OutputInformationMTime

Private Member Functions
void	operator= (const Self &)
	SolverCrankNicolson (const Self &)

Additional Inherited Members
Static Public Member Functions inherited from itk::fem::Solver< TDimension >
static Pointer	New ()
Static Public Attributes inherited from itk::fem::Solver< TDimension >
static const unsigned int	FEMDimension
static const unsigned int	MaxDimensions

Detailed Description

template<unsigned int TDimension = 3>
class itk::fem::SolverCrankNicolson< TDimension >

FEM Solver for time dependent problems; uses Crank-Nicolson implicit discretization scheme.

This is the main class used for solving FEM time-dependent problems. It solves the following problem:

$( M + \alpha*dt* K )*U_t=(M - (1.- \alpha)*dt* K)* U_{t-1} + dt*(\alpha*f_{n+1} + (1-\alpha)*f_n)$

which is the Crank-Nicolson formulation of the static problem if $\alpha=0.5$ . The static solution is gained if : $\rho = 0.0$ ; $\alpha = 1.0$ ; $dt = 1.0$ ; Practically, it is good to set rho to something small (for the itpack solver). The advantage of choosing $\alpha=0.5$ is that the solution is then stable for any choice of time step, dt. This class inherits and uses most of the Solver class functionality.

Updated: The calls to to AssembleKandM (or AssembleK) and AssembleFforTimeStep (or AssembleF) are now handled internally by calling Update().

FIXME: 1) We should also account for the contribution to the force from essential BCs. Basically there are terms involving $M * (\dot g_b)$ and $ K * g_b $ where $ g_b$ is the essential BC vector.

Definition at line 72 of file itkFEMSolverCrankNicolson.h.

Member Typedef Documentation

template<unsigned int TDimension = 3>

typedef SmartPointer<const Self> itk::fem::SolverCrankNicolson< TDimension >::ConstPointer

Reimplemented from itk::fem::Solver< TDimension >.

Definition at line 78 of file itkFEMSolverCrankNicolson.h.

template<unsigned int TDimension = 3>

typedef Element::Float itk::fem::SolverCrankNicolson< TDimension >::Float

Some convenient typedefs.

Reimplemented from itk::fem::Solver< TDimension >.

Definition at line 86 of file itkFEMSolverCrankNicolson.h.

template<unsigned int TDimension = 3>

typedef SmartPointer<Self> itk::fem::SolverCrankNicolson< TDimension >::Pointer

Reimplemented from itk::fem::Solver< TDimension >.

Definition at line 77 of file itkFEMSolverCrankNicolson.h.

template<unsigned int TDimension = 3>

typedef SolverCrankNicolson itk::fem::SolverCrankNicolson< TDimension >::Self

Standard class typedefs.

Reimplemented from itk::fem::Solver< TDimension >.

Definition at line 75 of file itkFEMSolverCrankNicolson.h.

template<unsigned int TDimension = 3>

typedef Solver<TDimension> itk::fem::SolverCrankNicolson< TDimension >::Superclass

Reimplemented from itk::fem::Solver< TDimension >.

Definition at line 76 of file itkFEMSolverCrankNicolson.h.

Constructor & Destructor Documentation

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::SolverCrankNicolson ( )

protected

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::~SolverCrankNicolson ( )

inlineprotected

Definition at line 207 of file itkFEMSolverCrankNicolson.h.

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::SolverCrankNicolson ( const Self & )

private

Member Function Documentation

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::AddToDisplacements ( Float optimum = 1.0 )

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

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::AssembleFforTimeStep ( int dim = 0 )

protected

Assemble the master force vector at a given time.

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 TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::AssembleKandM ( )

protected

Assemble the master stiffness and mass matrix. We actually assemble the right hand side and left hand side of the implicit scheme equation.

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::AverageLastTwoDisplacements ( Float t = 0.5 )

template<unsigned int TDimension = 3>

Float itk::fem::SolverCrankNicolson< TDimension >::BrentsMethod	(	Float	tol = `0.01`,
		unsigned int	MaxIters = `25`
	)

template<unsigned int TDimension = 3>

Float itk::fem::SolverCrankNicolson< TDimension >::EvaluateResidual ( Float t = 1.0 )

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::FindBracketingTriplet	(	Float *	a,
		Float *	b,
		Float *	c
	)

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::GenerateData ( )

protectedvirtual

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

Reimplemented from itk::fem::Solver< TDimension >.

template<unsigned int TDimension = 3>

Float itk::fem::SolverCrankNicolson< TDimension >::GetCurrentMaxSolution ( )

inline

Definition at line 195 of file itkFEMSolverCrankNicolson.h.

References itk::fem::SolverCrankNicolson< TDimension >::m_CurrentMaxSolution.

template<unsigned int TDimension = 3>

Float itk::fem::SolverCrankNicolson< TDimension >::GetDeformationEnergy ( Float t = 1.0 )

template<unsigned int TDimension = 3>

LinearSystemWrapper* itk::fem::SolverCrankNicolson< TDimension >::GetLS ( )

inline

Definition at line 190 of file itkFEMSolverCrankNicolson.h.

References itk::fem::Solver< TDimension >::m_ls.

template<unsigned int TDimension = 3>

virtual Float itk::fem::SolverCrankNicolson< TDimension >::GetTimeStep ( void ) const

inlinevirtual

Returns the time step used for dynamic problems.

Reimplemented from itk::fem::Solver< TDimension >.

Definition at line 142 of file itkFEMSolverCrankNicolson.h.

References itk::fem::SolverCrankNicolson< TDimension >::m_TimeStep.

template<unsigned int TDimension = 3>

Float itk::fem::SolverCrankNicolson< TDimension >::GoldenSection	(	Float	tol = `0.01`,
		unsigned int	MaxIters = `25`
	)

Finds the optimum value between the last two solutions and sets the current solution to that value. Uses Evaluate Residual;

template<unsigned int TDimension = 3>

Float itk::fem::SolverCrankNicolson< TDimension >::GSMax	(	Float	a,
		Float	b
	)

inline

Definition at line 183 of file itkFEMSolverCrankNicolson.h.

template<unsigned int TDimension = 3>

Float itk::fem::SolverCrankNicolson< TDimension >::GSSign	(	Float	a,
		Float	b
	)

inline

Definition at line 179 of file itkFEMSolverCrankNicolson.h.

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::InitializeForSolution ( )

protected

helper initialization function before assembly but after generate GFN.

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::itkGetConstMacro	(	Iterations	,
		unsigned	int
	)

Get the number of iterations run for the solver

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::itkGetMacro	(	UseMassMatrix	,
		bool
	)

Get/Set the use of the Mass Matrix for the solution

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::itkGetMacro	(	TotalSolutionIndex	,
		unsigned	int
	)

Get the index for the current solution

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::itkGetMacro	(	SolutionTMinus1Index	,
		unsigned	int
	)

Get the index for the previous solution

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::itkGetMacro	(	Alpha	,
		Float
	)

Set stability step for the solution. Initialized to 0.5

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::itkGetMacro	(	Rho	,
		Float
	)

Set density constant.

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::itkNewMacro ( Self )

Method for creation through the object factory.

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::itkSetMacro	(	UseMassMatrix	,
		bool
	)

Get/Set the use of the Mass Matrix for the solution

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::itkSetMacro	(	Alpha	,
		Float
	)

Set stability step for the solution. Initialized to 0.5

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::itkSetMacro	(	Rho	,
		Float
	)

Set density constant.

template<unsigned int TDimension = 3>

itk::fem::SolverCrankNicolson< TDimension >::itkTypeMacro	(	SolverCrankNicolson< TDimension >	,
		Solver< TDimension >
	)

Run-time type information (and related methods)

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::operator= ( const Self & )

private

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

Reimplemented from itk::fem::Solver< TDimension >.

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::PrintDisplacements ( )

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::PrintForce ( )

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::PrintMinMaxOfSolution ( )

Compute and print the minimum and maximum of the total solution and the last solution.

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::RecomputeForceVector ( unsigned int index )

compute the current state of the right hand side and store the current force for the next iteration.

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::ResetIterations ( void )

inline

Reset the number of iterations for the solver. This will prompt the Solver to Assemble the master stiffness and mass matrix again. This is only generated before the first iteration.

Definition at line 106 of file itkFEMSolverCrankNicolson.h.

References itk::fem::SolverCrankNicolson< TDimension >::m_Iterations.

template<unsigned int TDimension = 3>

virtual void itk::fem::SolverCrankNicolson< TDimension >::RunSolver ( void )

protectedvirtual

Solve for the displacement vector u at a given time. Update the total solution as well.

Reimplemented from itk::fem::Solver< TDimension >.

template<unsigned int TDimension = 3>

void itk::fem::SolverCrankNicolson< TDimension >::SetEnergyToMin ( Float xmin )