Tempus: Tempus::Stepper_ErrorNorm< Scalar > Class Template Reference

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Stepper_ErrorNorm provides error norm calcualtions for variable time stepping. More...

#include <Tempus_Stepper_ErrorNorm_decl.hpp>

Public Member Functions
	Stepper_ErrorNorm ()
	Default Constructor. More...

	Stepper_ErrorNorm (const Scalar relTol, const Scalar absTol)
	Constructor. More...

	~Stepper_ErrorNorm ()
	Destructor. More...

Scalar	computeWRMSNorm (const Teuchos::RCP< const Thyra::VectorBase< Scalar >> &x, const Teuchos::RCP< const Thyra::VectorBase< Scalar >> &xNext, const Teuchos::RCP< const Thyra::VectorBase< Scalar >> &err)
	Compute the weigthed root mean square norm. More...

Scalar	errorNorm (const Teuchos::RCP< const Thyra::VectorBase< Scalar >> &x)
	Compute the error Norm. More...

void	setRelativeTolerance (const Scalar relTol)

void	setAbsoluteTolerance (const Scalar absTol)

Protected Attributes
Scalar	relTol_

Scalar	abssTol_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	u_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	uNext_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	errorWeightVector_

Teuchos::RCP < Thyra::VectorBase< Scalar > >	scratchVector_

Detailed Description

template<class Scalar>
class Tempus::Stepper_ErrorNorm< Scalar >

Stepper_ErrorNorm provides error norm calcualtions for variable time stepping.

Definition at line 25 of file Tempus_Stepper_ErrorNorm_decl.hpp.

Constructor & Destructor Documentation

template<class Scalar >

Tempus::Stepper_ErrorNorm< Scalar >::Stepper_ErrorNorm ( )

Default Constructor.

Definition at line 24 of file Tempus_Stepper_ErrorNorm_impl.hpp.

template<class Scalar >

Tempus::Stepper_ErrorNorm< Scalar >::Stepper_ErrorNorm	(	const Scalar	relTol,
		const Scalar	absTol
	)

Constructor.

Definition at line 30 of file Tempus_Stepper_ErrorNorm_impl.hpp.

template<class Scalar >

Tempus::Stepper_ErrorNorm< Scalar >::~Stepper_ErrorNorm ( )

inline

Destructor.

Definition at line 34 of file Tempus_Stepper_ErrorNorm_decl.hpp.

Member Function Documentation

template<class Scalar >

Scalar Tempus::Stepper_ErrorNorm< Scalar >::computeWRMSNorm	(	const Teuchos::RCP< const Thyra::VectorBase< Scalar >> &	x,
		const Teuchos::RCP< const Thyra::VectorBase< Scalar >> &	xNext,
		const Teuchos::RCP< const Thyra::VectorBase< Scalar >> &	err
	)

Compute the weigthed root mean square norm.

The WRMS norm is

$e_{wrms} \equiv \sqrt{ \frac{1}{N} \sum_{i=1}^N \left( \frac {u^n_i}{A_{tol} + \max (|u^n_i|, |u^{n+1}_i|) R_{tol}} \right) ^2 }$

where

$A_{tol}$ is the absolute tolerance,
$R_{tol}$ is the relative tolerance,
$\max$ is the pairwise maximum,
is the current solution, and
$u^{n+1}$ is the next solution.
denotes component of time step .
denotes the number of unknowns

Definition at line 37 of file Tempus_Stepper_ErrorNorm_impl.hpp.

template<class Scalar >

Scalar Tempus::Stepper_ErrorNorm< Scalar >::errorNorm ( const Teuchos::RCP< const Thyra::VectorBase< Scalar >> & x )

Compute the error Norm.

The error norm is

$e = \max_i ( u_i / ( A_{tol} + |u_i| R_{tol}))$

where $A_{tol}$ is the absolute tolerance, $R_{tol}$ is the relative tolerance, and $\max_i$ is the maximum over all elements in $x$ .

Definition at line 73 of file Tempus_Stepper_ErrorNorm_impl.hpp.

template<class Scalar >

void Tempus::Stepper_ErrorNorm< Scalar >::setRelativeTolerance ( const Scalar relTol )

inline

Definition at line 70 of file Tempus_Stepper_ErrorNorm_decl.hpp.

template<class Scalar >

void Tempus::Stepper_ErrorNorm< Scalar >::setAbsoluteTolerance ( const Scalar absTol )

inline

Definition at line 71 of file Tempus_Stepper_ErrorNorm_decl.hpp.

Member Data Documentation

template<class Scalar >

Scalar Tempus::Stepper_ErrorNorm< Scalar >::relTol_

protected

Definition at line 74 of file Tempus_Stepper_ErrorNorm_decl.hpp.

template<class Scalar >

Scalar Tempus::Stepper_ErrorNorm< Scalar >::abssTol_

protected

Definition at line 75 of file Tempus_Stepper_ErrorNorm_decl.hpp.

template<class Scalar >

Teuchos::RCP<Thyra::VectorBase<Scalar> > Tempus::Stepper_ErrorNorm< Scalar >::u_

protected

Definition at line 76 of file Tempus_Stepper_ErrorNorm_decl.hpp.

template<class Scalar >

Teuchos::RCP<Thyra::VectorBase<Scalar> > Tempus::Stepper_ErrorNorm< Scalar >::uNext_

protected

Definition at line 77 of file Tempus_Stepper_ErrorNorm_decl.hpp.

template<class Scalar >

Teuchos::RCP<Thyra::VectorBase<Scalar> > Tempus::Stepper_ErrorNorm< Scalar >::errorWeightVector_

protected

Definition at line 78 of file Tempus_Stepper_ErrorNorm_decl.hpp.

template<class Scalar >

Teuchos::RCP<Thyra::VectorBase<Scalar> > Tempus::Stepper_ErrorNorm< Scalar >::scratchVector_

protected

Definition at line 79 of file Tempus_Stepper_ErrorNorm_decl.hpp.

The documentation for this class was generated from the following files: