Newmark time stepper in acceleration form (a-form). More...

#include <Tempus_StepperNewmarkImplicitAForm_decl.hpp>

Inheritance diagram for Tempus::StepperNewmarkImplicitAForm< Scalar >:

Public Member Functions
	StepperNewmarkImplicitAForm ()
	Default constructor. More...

	StepperNewmarkImplicitAForm (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel, const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &solver, bool useFSAL, std::string ICConsistency, bool ICConsistencyCheck, bool zeroInitialGuess, std::string schemeName, Scalar beta, Scalar gamma, const Teuchos::RCP< StepperNewmarkImplicitAFormAppAction< Scalar > > &stepperAppAction)
	Constructor. More...

virtual Scalar	getW_xDotDot_coeff (const Scalar) const
	Return W_xDotxDot_coeff = d(xDotDot)/d(xDotDot). More...

virtual Scalar	getAlpha (const Scalar dt) const
	Return alpha = d(xDot)/d(xDotDot). More...

virtual Scalar	getBeta (const Scalar dt) const
	Return beta = d(x)/d(xDotDot). More...

Teuchos::RCP< const Teuchos::ParameterList >	getValidParameters () const

virtual bool	isValidSetup (Teuchos::FancyOStream &out) const

void	predictVelocity (Thyra::VectorBase< Scalar > &vPred, const Thyra::VectorBase< Scalar > &v, const Thyra::VectorBase< Scalar > &a, const Scalar dt) const

void	predictDisplacement (Thyra::VectorBase< Scalar > &dPred, const Thyra::VectorBase< Scalar > &d, const Thyra::VectorBase< Scalar > &v, const Thyra::VectorBase< Scalar > &a, const Scalar dt) const

void	correctVelocity (Thyra::VectorBase< Scalar > &v, const Thyra::VectorBase< Scalar > &vPred, const Thyra::VectorBase< Scalar > &a, const Scalar dt) const

void	correctDisplacement (Thyra::VectorBase< Scalar > &d, const Thyra::VectorBase< Scalar > &dPred, const Thyra::VectorBase< Scalar > &a, const Scalar dt) const

void	setSchemeName (std::string schemeName)

void	setBeta (Scalar beta)

void	setGamma (Scalar gamma)

Public Member Functions inherited from Tempus::StepperImplicit< Scalar >
Teuchos::RCP < Teuchos::ParameterList >	getValidParametersBasicImplicit () const

void	setStepperImplicitValues (Teuchos::RCP< Teuchos::ParameterList > pl)
	Set StepperImplicit member data from the ParameterList. More...

void	setStepperSolverValues (Teuchos::RCP< Teuchos::ParameterList > pl)
	Set solver from ParameterList. More...

void	setSolverName (std::string i)
	Set the Solver Name. More...

std::string	getSolverName () const
	Get the Solver Name. More...

virtual Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > >	getModel () const override

virtual Teuchos::RCP< const WrapperModelEvaluator< Scalar > >	getWrapperModel ()

virtual void	setDefaultSolver ()

virtual void	setSolver (Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > solver) override
	Set solver. More...

virtual Teuchos::RCP < Thyra::NonlinearSolverBase < Scalar > >	getSolver () const override
	Get solver. More...

const Thyra::SolveStatus< Scalar >	solveImplicitODE (const Teuchos::RCP< Thyra::VectorBase< Scalar > > &x, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &xDot, const Scalar time, const Teuchos::RCP< ImplicitODEParameters< Scalar > > &p, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &y=Teuchos::null, const int index=-1)
	Solve implicit ODE, f(x, xDot, t, p) = 0. More...

void	evaluateImplicitODE (Teuchos::RCP< Thyra::VectorBase< Scalar > > &f, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &x, const Teuchos::RCP< Thyra::VectorBase< Scalar > > &xDot, const Scalar time, const Teuchos::RCP< ImplicitODEParameters< Scalar > > &p)
	Evaluate implicit ODE residual, f(x, xDot, t, p). More...

virtual void	setInitialGuess (Teuchos::RCP< const Thyra::VectorBase< Scalar > > initialGuess) override
	Pass initial guess to Newton solver (only relevant for implicit solvers) More...

virtual void	setZeroInitialGuess (bool zIG)

virtual bool	getZeroInitialGuess () const

virtual Scalar	getInitTimeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &) const override

Public Member Functions inherited from Tempus::Stepper< Scalar >
void	setStepperValues (const Teuchos::RCP< Teuchos::ParameterList > pl)
	Set Stepper member data from ParameterList. More...

Teuchos::RCP < Teuchos::ParameterList >	getValidParametersBasic () const
	Add basic parameters to Steppers ParameterList. More...

virtual void	initialize ()
	Initialize after construction and changing input parameters. More...

virtual bool	isInitialized ()
	True if stepper's member data is initialized. More...

virtual void	checkInitialized ()
	Check initialization, and error out on failure. More...

void	setStepperName (std::string s)
	Set the stepper name. More...

std::string	getStepperName () const
	Get the stepper name. More...

std::string	getStepperType () const
	Get the stepper type. The stepper type is used as an identifier for the stepper, and can only be set by the derived Stepper class. More...

void	setUseFSALTrueOnly (bool a)

void	setUseFSALFalseOnly (bool a)

bool	getUseFSAL () const

void	setICConsistency (std::string s)

std::string	getICConsistency () const

void	setICConsistencyCheck (bool c)

bool	getICConsistencyCheck () const

virtual Teuchos::RCP < Thyra::VectorBase< Scalar > >	getStepperX ()
	Get Stepper x. More...

virtual Teuchos::RCP < Thyra::VectorBase< Scalar > >	getStepperXDot ()
	Get Stepper xDot. More...

virtual Teuchos::RCP < Thyra::VectorBase< Scalar > >	getStepperXDotDot ()
	Get Stepper xDotDot. More...

virtual Teuchos::RCP < Thyra::VectorBase< Scalar > >	getStepperXDotDot (Teuchos::RCP< SolutionState< Scalar > > state)
	Get xDotDot from SolutionState or Stepper storage. More...

virtual std::string	description () const

Public Member Functions inherited from Teuchos::Describable
void	describe (std::ostream &out, const EVerbosityLevel verbLevel=verbLevel_default) const

virtual	~Describable ()

	LabeledObject ()

virtual	~LabeledObject ()

virtual void	setObjectLabel (const std::string &objectLabel)

virtual std::string	getObjectLabel () const

DescribableStreamManipulatorState	describe (const Describable &describable, const EVerbosityLevel verbLevel=Describable::verbLevel_default)

std::ostream &	operator<< (std::ostream &os, const DescribableStreamManipulatorState &d)

Public Member Functions inherited from Teuchos::VerboseObject< Stepper< Scalar > >
	VerboseObject (const EVerbosityLevel verbLevel=VERB_DEFAULT, const RCP< FancyOStream > &oStream=Teuchos::null)

virtual const VerboseObject &	setVerbLevel (const EVerbosityLevel verbLevel) const

virtual const VerboseObject &	setOverridingVerbLevel (const EVerbosityLevel verbLevel) const

virtual EVerbosityLevel	getVerbLevel () const

TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT RCP< const ParameterList >	getValidVerboseObjectSublist ()

TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT void	setupVerboseObjectSublist (ParameterList *paramList)

TEUCHOSPARAMETERLIST_LIB_DLL_EXPORT void	readVerboseObjectSublist (ParameterList paramList, RCP< FancyOStream > oStream, EVerbosityLevel *verbLevel)

void	readVerboseObjectSublist (ParameterList paramList, VerboseObject< ObjectType > verboseObject)

Public Member Functions inherited from Teuchos::VerboseObjectBase
virtual	~VerboseObjectBase ()

	VerboseObjectBase (const RCP< FancyOStream > &oStream=Teuchos::null)

virtual const VerboseObjectBase &	setOStream (const RCP< FancyOStream > &oStream) const

virtual const VerboseObjectBase &	setOverridingOStream (const RCP< FancyOStream > &oStream) const

virtual VerboseObjectBase &	setLinePrefix (const std::string &linePrefix)

virtual RCP< FancyOStream >	getOStream () const

virtual RCP< FancyOStream >	getOverridingOStream () const

virtual std::string	getLinePrefix () const

virtual OSTab	getOSTab (const int tabs=1, const std::string &linePrefix="") const

Private Attributes
std::string	schemeName_

Scalar	beta_

Scalar	gamma_

Teuchos::RCP < Teuchos::FancyOStream >	out_

Teuchos::RCP < StepperNewmarkImplicitAFormAppAction < Scalar > >	stepperNewmarkImpAppAction_

Basic stepper methods
virtual void	setModel (const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &appModel)
	Set the model. More...

virtual void	setAppAction (Teuchos::RCP< StepperNewmarkImplicitAFormAppAction< Scalar > > appAction)

virtual Teuchos::RCP < StepperNewmarkImplicitAFormAppAction < Scalar > >	getAppAction () const

virtual void	setInitialConditions (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory)
	Set the initial conditions and make them consistent. More...

virtual void	takeStep (const Teuchos::RCP< SolutionHistory< Scalar > > &solutionHistory)
	Take the specified timestep, dt, and return true if successful. More...

virtual Teuchos::RCP < Tempus::StepperState< Scalar > >	getDefaultStepperState ()
	Get a default (initial) StepperState. More...

virtual Scalar	getOrder () const

virtual Scalar	getOrderMin () const

virtual Scalar	getOrderMax () const

virtual bool	isExplicit () const

virtual bool	isImplicit () const

virtual bool	isExplicitImplicit () const

virtual bool	isOneStepMethod () const

virtual bool	isMultiStepMethod () const

virtual void	setUseFSAL (bool a)

virtual OrderODE	getOrderODE () const

Overridden from Teuchos::Describable
virtual void	describe (Teuchos::FancyOStream &out, const Teuchos::EVerbosityLevel verbLevel) const

Additional Inherited Members
Static Public Member Functions inherited from Teuchos::VerboseObject< Stepper< Scalar > >
static void	setDefaultVerbLevel (const EVerbosityLevel defaultVerbLevel)

static EVerbosityLevel	getDefaultVerbLevel ()

Static Public Member Functions inherited from Teuchos::VerboseObjectBase
static void	setDefaultOStream (const RCP< FancyOStream > &defaultOStream)

static RCP< FancyOStream >	getDefaultOStream ()

Static Public Attributes inherited from Teuchos::Describable
static const EVerbosityLevel	verbLevel_default

Protected Member Functions inherited from Tempus::Stepper< Scalar >
virtual void	setStepperX (Teuchos::RCP< Thyra::VectorBase< Scalar > > x)
	Set x for Stepper storage. More...

virtual void	setStepperXDot (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDot)
	Set xDot for Stepper storage. More...

virtual void	setStepperXDotDot (Teuchos::RCP< Thyra::VectorBase< Scalar > > xDotDot)
	Set x for Stepper storage. More...

void	setStepperType (std::string s)
	Set the stepper type. More...

Protected Member Functions inherited from Teuchos::VerboseObject< Stepper< Scalar > >
void	initializeVerboseObject (const EVerbosityLevel verbLevel=VERB_DEFAULT, const RCP< FancyOStream > &oStream=Teuchos::null)

Protected Member Functions inherited from Teuchos::VerboseObjectBase
void	initializeVerboseObjectBase (const RCP< FancyOStream > &oStream=Teuchos::null)

virtual void	informUpdatedVerbosityState () const

Protected Attributes inherited from Tempus::StepperImplicit< Scalar >
Teuchos::RCP < WrapperModelEvaluator < Scalar > >	wrapperModel_

Teuchos::RCP < Thyra::NonlinearSolverBase < Scalar > >	solver_

Teuchos::RCP< const Thyra::VectorBase< Scalar > >	initialGuess_

bool	zeroInitialGuess_

std::string	solverName_

Protected Attributes inherited from Tempus::Stepper< Scalar >
bool	useFSAL_ = false
	Use First-Same-As-Last (FSAL) principle. More...

bool	isInitialized_
	True if stepper's member data is initialized. More...

Detailed Description

template<class Scalar>
class Tempus::StepperNewmarkImplicitAForm< Scalar >

Newmark time stepper in acceleration form (a-form).

Here, we implement the Newmark scheme in predictor/corrector form; see equations (34)-(35) in: A. Mota, W. Klug, M. Ortiz, "Finite element simulation of firearm injury to the human cranium", Computational Mechanics 31(1) 115-121 (2003).

Newmark has two parameters: $\beta$ and $\gamma$ , both of which need to be in the range $[0,1]$ . Newmark can be an explicit or implicit method, depending on the value of the $\beta$ parameter. If $\beta = 0$ , the method is explicit. Regardless of whether the method is implicit or explicit, a linear solve is required. This linear solve can be optimized, however, for the explicit case by lumping the mass matrix. This optimization can be invoked by running "Newmark Explicit d-Form" Stepper through the Piro::TempusSolver class.

Newmark is second order accurate if $\gamma = 0.5$ ; otherwise it is first order accurate. Some additional properties about the Newmark scheme can be found here.

The governing equation solved by this stepper is

$\mathbf{M}\, \ddot{\mathbf{x}} + \mathbf{C}\, \dot{\mathbf{x}} + \mathbf{K}\, \mathbf{x} + \mathbf{F}(t) = 0$

For the A-form (i.e., solving for the acceleration, $\mathbf{a} = \ddot{\mathbf{x}}$ ), we have the following implicit ODE

$\mathbf{M}\, \mathbf{a} + \mathbf{C}\, \mathbf{v} + \mathbf{K}\, \mathbf{d} + \mathbf{F}(t) = \mathbf{f}(\mathbf{d}, \mathbf{v}, \mathbf{a}, t) = 0$

where $\mathbf{v} = \dot{\mathbf{x}}$ and $\mathbf{d} = \mathbf{x}$ .

Algorithm The algorithm for the Newmark implicit A-form with predictors and correctors is

$\begin{center} \parbox{5in}{ \rule{5in}{0.4pt} \\ {\bf Algorithm} Newmark Implicit A-form \\ \rule{5in}{0.4pt} \vspace{-15pt} \begin{enumerate} \setlength{\itemsep}{0pt} \setlength{\parskip}{0pt} \setlength{\parsep}{0pt} \item {\it appAction.execute(solutionHistory, stepper, BEGIN\_STEP)} \item $\mathbf{d}^{\ast} = \mathbf{d}^{n-1} + \Delta t \mathbf{v}^{n-1} + \Delta t^2 (1-2 \beta) \mathbf{a}^{n-1} / 2$ \item $\mathbf{v}^{\ast} = \mathbf{v}^{n-1} + \Delta t (1-\gamma) \mathbf{a}^{n-1}$ \item {\it appAction.execute(solutionHistory, stepper, BEFORE\_SOLVE)} \item {\bf Solve $\mathbf{f}(\mathbf{d}^n, \mathbf{v}^n, \mathbf{a}^n, t^n) = 0$ for $\mathbf{a}^n$ where} \\ $\mathbf{d}^n = \mathbf{d}^{\ast} + \beta \Delta t^2 \mathbf{a}^n$ \\ $\mathbf{v}^n = \mathbf{v}^{\ast} + \gamma \Delta t \mathbf{a}^n$ \item {\it appAction.execute(solutionHistory, stepper, AFTER\_SOLVE)} \item $\mathbf{d}^n = \mathbf{d}^{\ast} + \beta \Delta t^2 \mathbf{a}^n$ \item $\mathbf{v}^n = \mathbf{v}^{\ast} + \gamma \Delta t \mathbf{a}^n$ \item {\it appAction.execute(solutionHistory, stepper, END\_STEP)} \end{enumerate} \vspace{-10pt} \rule{5in}{0.4pt} } \end{center}$

The First-Same-As-Last (FSAL) principle is not needed with Newmark Implicit A-Form. The default is to set useFSAL=false, however useFSAL=true will also work but have no affect (i.e., no-op).

Definition at line 92 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

Constructor & Destructor Documentation

template<class Scalar >

Tempus::StepperNewmarkImplicitAForm< Scalar >::StepperNewmarkImplicitAForm ( )

Default constructor.

Requires subsequent setModel(), setSolver() and initialize() calls before calling takeStep().

Definition at line 172 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

Tempus::StepperNewmarkImplicitAForm< Scalar >::StepperNewmarkImplicitAForm	(	const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > &	appModel,
		const Teuchos::RCP< Thyra::NonlinearSolverBase< Scalar > > &	solver,
		bool	useFSAL,
		std::string	ICConsistency,
		bool	ICConsistencyCheck,
		bool	zeroInitialGuess,
		std::string	schemeName,
		Scalar	beta,
		Scalar	gamma,
		const Teuchos::RCP< StepperNewmarkImplicitAFormAppAction< Scalar > > &	stepperAppAction
	)

Constructor.

Definition at line 192 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

Member Function Documentation

template<class Scalar >

void Tempus::StepperNewmarkImplicitAForm< Scalar >::setModel ( const Teuchos::RCP< const Thyra::ModelEvaluator< Scalar > > & appModel )

virtual

Set the model.

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 220 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

void Tempus::StepperNewmarkImplicitAForm< Scalar >::setAppAction ( Teuchos::RCP< StepperNewmarkImplicitAFormAppAction< Scalar > > appAction )

virtual

Definition at line 156 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

virtual Teuchos::RCP<StepperNewmarkImplicitAFormAppAction<Scalar> > Tempus::StepperNewmarkImplicitAForm< Scalar >::getAppAction ( ) const

inlinevirtual

Definition at line 120 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

void Tempus::StepperNewmarkImplicitAForm< Scalar >::setInitialConditions ( const Teuchos::RCP< SolutionHistory< Scalar > > & solutionHistory )

virtual

Set the initial conditions and make them consistent.

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 239 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

void Tempus::StepperNewmarkImplicitAForm< Scalar >::takeStep ( const Teuchos::RCP< SolutionHistory< Scalar > > & solutionHistory )

virtual

Take the specified timestep, dt, and return true if successful.

Implements Tempus::Stepper< Scalar >.

Definition at line 426 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

Teuchos::RCP< Tempus::StepperState< Scalar > > Tempus::StepperNewmarkImplicitAForm< Scalar >::getDefaultStepperState ( )

virtual

Get a default (initial) StepperState.

Provide a StepperState to the SolutionState. This Stepper does not have any special state data, so just provide the base class StepperState with the Stepper description. This can be checked to ensure that the input StepperState can be used by this Stepper.

Implements Tempus::Stepper< Scalar >.

Definition at line 526 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperNewmarkImplicitAForm< Scalar >::getOrder ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 135 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperNewmarkImplicitAForm< Scalar >::getOrderMin ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 142 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperNewmarkImplicitAForm< Scalar >::getOrderMax ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 143 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperNewmarkImplicitAForm< Scalar >::isExplicit ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 145 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperNewmarkImplicitAForm< Scalar >::isImplicit ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 146 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperNewmarkImplicitAForm< Scalar >::isExplicitImplicit ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 147 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperNewmarkImplicitAForm< Scalar >::isOneStepMethod ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 151 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual bool Tempus::StepperNewmarkImplicitAForm< Scalar >::isMultiStepMethod ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 152 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual void Tempus::StepperNewmarkImplicitAForm< Scalar >::setUseFSAL ( bool a )

inlinevirtual

Reimplemented from Tempus::Stepper< Scalar >.

Definition at line 153 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual OrderODE Tempus::StepperNewmarkImplicitAForm< Scalar >::getOrderODE ( ) const

inlinevirtual

Implements Tempus::Stepper< Scalar >.

Definition at line 154 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperNewmarkImplicitAForm< Scalar >::getW_xDotDot_coeff ( const Scalar ) const

inlinevirtual

Return W_xDotxDot_coeff = d(xDotDot)/d(xDotDot).

Definition at line 158 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperNewmarkImplicitAForm< Scalar >::getAlpha ( const Scalar dt ) const

inlinevirtual

Return alpha = d(xDot)/d(xDotDot).

Implements Tempus::StepperImplicit< Scalar >.

Definition at line 160 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

virtual Scalar Tempus::StepperNewmarkImplicitAForm< Scalar >::getBeta ( const Scalar dt ) const

inlinevirtual

Return beta = d(x)/d(xDotDot).

Implements Tempus::StepperImplicit< Scalar >.

Definition at line 162 of file Tempus_StepperNewmarkImplicitAForm_decl.hpp.

template<class Scalar >

Teuchos::RCP< const Teuchos::ParameterList > Tempus::StepperNewmarkImplicitAForm< Scalar >::getValidParameters ( ) const

virtual

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 592 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

void Tempus::StepperNewmarkImplicitAForm< Scalar >::describe	(	Teuchos::FancyOStream &	out,
		const Teuchos::EVerbosityLevel	verbLevel
	)		const

virtual

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 537 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

bool Tempus::StepperNewmarkImplicitAForm< Scalar >::isValidSetup ( Teuchos::FancyOStream & out ) const

virtual

Reimplemented from Tempus::StepperImplicit< Scalar >.

Definition at line 557 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

void Tempus::StepperNewmarkImplicitAForm< Scalar >::predictVelocity	(	Thyra::VectorBase< Scalar > &	vPred,
		const Thyra::VectorBase< Scalar > &	v,
		const Thyra::VectorBase< Scalar > &	a,
		const Scalar	dt
	)		const

Definition at line 21 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

void Tempus::StepperNewmarkImplicitAForm< Scalar >::predictDisplacement	(	Thyra::VectorBase< Scalar > &	dPred,
		const Thyra::VectorBase< Scalar > &	d,
		const Thyra::VectorBase< Scalar > &	v,
		const Thyra::VectorBase< Scalar > &	a,
		const Scalar	dt
	)		const

Definition at line 33 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

void Tempus::StepperNewmarkImplicitAForm< Scalar >::correctVelocity	(	Thyra::VectorBase< Scalar > &	v,
		const Thyra::VectorBase< Scalar > &	vPred,
		const Thyra::VectorBase< Scalar > &	a,
		const Scalar	dt
	)		const

Definition at line 51 of file Tempus_StepperNewmarkImplicitAForm_impl.hpp.

template<class Scalar >

void Tempus::StepperNewmarkImplicitAForm< Scalar >::correctDisplacement	(	Thyra::VectorBase< Scalar > &	d,
		const Thyra::VectorBase< Scalar > &	dPred,
		const Thyra::VectorBase< Scalar > &	a,
		const Scalar	dt
	)		const