Preconditioner (wrapped as a Xpetra::Operator) for Maxwell's equations in curl-curl form. More...

#include <MueLu_RefMaxwell_fwd.hpp>

Inheritance diagram for MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >:

Public Types
typedef Teuchos::ScalarTraits < Scalar >::magnitudeType	magnitudeType

typedef Xpetra::MultiVector < magnitudeType, LO, GO, NO >	RealValuedMultiVector

Public Member Functions
	RefMaxwell ()
	Constructor. More...

	RefMaxwell (Teuchos::RCP< Hierarchy > HH, Teuchos::RCP< Hierarchy > H22)
	Constructor with Hierarchies. More...

	RefMaxwell (const Teuchos::RCP< Matrix > &SM_Matrix, const Teuchos::RCP< Matrix > &D0_Matrix, const Teuchos::RCP< Matrix > &Ms_Matrix, const Teuchos::RCP< Matrix > &M0inv_Matrix, const Teuchos::RCP< Matrix > &M1_Matrix, const Teuchos::RCP< MultiVector > &Nullspace, const Teuchos::RCP< RealValuedMultiVector > &Coords, Teuchos::ParameterList &List, bool ComputePrec=true)

	RefMaxwell (const Teuchos::RCP< Matrix > &SM_Matrix, const Teuchos::RCP< Matrix > &D0_Matrix, const Teuchos::RCP< Matrix > &M0inv_Matrix, const Teuchos::RCP< Matrix > &M1_Matrix, const Teuchos::RCP< MultiVector > &Nullspace, const Teuchos::RCP< RealValuedMultiVector > &Coords, Teuchos::ParameterList &List, bool ComputePrec=true)

	RefMaxwell (const Teuchos::RCP< Matrix > &D0_Matrix, const Teuchos::RCP< Matrix > &M0inv_Matrix, const Teuchos::RCP< Matrix > &M1_Matrix, const Teuchos::RCP< MultiVector > &Nullspace, const Teuchos::RCP< RealValuedMultiVector > &Coords, Teuchos::ParameterList &List)

	RefMaxwell (const Teuchos::RCP< Matrix > &SM_Matrix, const Teuchos::RCP< Matrix > &D0_Matrix, const Teuchos::RCP< Matrix > &M1_Matrix, const Teuchos::RCP< MultiVector > &Nullspace, const Teuchos::RCP< RealValuedMultiVector > &Coords, Teuchos::ParameterList &List, bool ComputePrec)

	RefMaxwell (const Teuchos::RCP< Matrix > &D0_Matrix, const Teuchos::RCP< Matrix > &M1_Matrix, const Teuchos::RCP< MultiVector > &Nullspace, const Teuchos::RCP< RealValuedMultiVector > &Coords, Teuchos::ParameterList &List)

	RefMaxwell (const Teuchos::RCP< Matrix > &SM_Matrix, Teuchos::ParameterList &List, bool ComputePrec=true)

virtual	~RefMaxwell ()
	Destructor. More...

Teuchos::RCP< const Map >	getDomainMap () const
	Returns the Xpetra::Map object associated with the domain of this operator. More...

Teuchos::RCP< const Map >	getRangeMap () const
	Returns the Xpetra::Map object associated with the range of this operator. More...

const Teuchos::RCP< Matrix > &	getJacobian () const
	Returns Jacobian matrix SM. More...

void	setParameters (Teuchos::ParameterList &list)
	Set parameters. More...

void	compute (bool reuse=false)
	Setup the preconditioner. More...

void	buildProlongator ()
	Setup the prolongator for the (1,1)-block. More...

void	formCoarseMatrix ()
	Compute P11^{T}AP11 efficiently. More...

void	resetMatrix (Teuchos::RCP< Matrix > SM_Matrix_new, bool ComputePrec=true)
	Reset system matrix. More...

void	apply (const MultiVector &X, MultiVector &Y, Teuchos::ETransp mode=Teuchos::NO_TRANS, Scalar alpha=Teuchos::ScalarTraits< Scalar >::one(), Scalar beta=Teuchos::ScalarTraits< Scalar >::zero()) const

bool	hasTransposeApply () const
	Indicates whether this operator supports applying the adjoint operator. More...

void	describe (Teuchos::FancyOStream &out, const Teuchos::EVerbosityLevel verbLevel=Teuchos::VERB_HIGH) const

Public Member Functions inherited from MueLu::VerboseObject
VerbLevel	GetVerbLevel () const
	Get the verbosity level. More...

void	SetVerbLevel (const VerbLevel verbLevel)
	Set the verbosity level of this object. More...

int	GetProcRankVerbose () const
	Get proc rank used for printing. Do not use this information for any other purpose. More...

int	SetProcRankVerbose (int procRank) const
	Set proc rank used for printing. More...

bool	IsPrint (MsgType type, int thisProcRankOnly=-1) const
	Find out whether we need to print out information for a specific message type. More...

Teuchos::FancyOStream &	GetOStream (MsgType type, int thisProcRankOnly=0) const
	Get an output stream for outputting the input message type. More...

Teuchos::FancyOStream &	GetBlackHole () const

	VerboseObject ()

virtual	~VerboseObject ()
	Destructor. More...

Public Member Functions inherited from Teuchos::VerboseObject< VerboseObject >
	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

Public Member Functions inherited from Xpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >
virtual void	removeEmptyProcessesInPlace (const RCP< const Map > &)

Public Member Functions inherited from Teuchos::Describable
virtual std::string	description () const

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)

Private Member Functions
void	initialize (const Teuchos::RCP< Matrix > &D0_Matrix, const Teuchos::RCP< Matrix > &Ms_Matrix, const Teuchos::RCP< Matrix > &M0inv_Matrix, const Teuchos::RCP< Matrix > &M1_Matrix, const Teuchos::RCP< MultiVector > &Nullspace, const Teuchos::RCP< RealValuedMultiVector > &Coords, Teuchos::ParameterList &List)

void	applyInverseAdditive (const MultiVector &RHS, MultiVector &X) const
	apply additive algorithm for 2x2 solve More...

void	applyInverse121 (const MultiVector &RHS, MultiVector &X) const
	apply 1-2-1 algorithm for 2x2 solve More...

void	applyInverse212 (const MultiVector &RHS, MultiVector &X) const
	apply 2-1-2 algorithm for 2x2 solve More...

void	solveH (const MultiVector &RHS, MultiVector &X) const
	apply solve to 1-1 block only More...

void	solve22 (const MultiVector &RHS, MultiVector &X) const
	apply solve to 2-2 block only More...

Private Attributes
Teuchos::RCP< Hierarchy >	HierarchyH_
	Two hierarchies: one for the coarse (1,1)-block, another for the (2,2)-block. More...

Teuchos::RCP< Hierarchy >	Hierarchy22_

Teuchos::RCP< SmootherBase >	PreSmoother_

Teuchos::RCP< SmootherBase >	PostSmoother_

bool	useHiptmairSmoothing_

Teuchos::RCP< Matrix >	SM_Matrix_
	Various matrices. More...

Teuchos::RCP< Matrix >	D0_Matrix_

Teuchos::RCP< Matrix >	D0_T_Matrix_

Teuchos::RCP< Matrix >	M0inv_Matrix_

Teuchos::RCP< Matrix >	M1_Matrix_

Teuchos::RCP< Matrix >	Ms_Matrix_

Teuchos::RCP< Matrix >	A_nodal_Matrix_

Teuchos::RCP< Matrix >	P11_

Teuchos::RCP< Matrix >	R11_

Teuchos::RCP< Matrix >	AH_

Teuchos::RCP< Matrix >	A22_

Teuchos::RCP< Matrix >	Addon_Matrix_

int	BCrowcount_
	Vectors for BCs. More...

int	BCcolcount_

Teuchos::ArrayRCP< const bool >	BCrows_

Teuchos::ArrayRCP< const bool >	BCcols_

Teuchos::RCP< MultiVector >	Nullspace_
	Nullspace. More...

Teuchos::RCP < RealValuedMultiVector >	Coords_
	Coordinates. More...

Teuchos::RCP < RealValuedMultiVector >	CoordsH_

Teuchos::RCP< const Import >	ImporterH_
	Importer to coarse (1,1) hierarchy. More...

Teuchos::RCP< const Import >	Importer22_

Teuchos::ParameterList	parameterList_
	Parameter lists. More...

Teuchos::ParameterList	precList11_

Teuchos::ParameterList	precList22_

Teuchos::ParameterList	smootherList_

Teuchos::RCP < Teuchos::ParameterList >	AH_AP_reuse_data_

Teuchos::RCP < Teuchos::ParameterList >	AH_RAP_reuse_data_

Teuchos::RCP < Teuchos::ParameterList >	A22_AP_reuse_data_

Teuchos::RCP < Teuchos::ParameterList >	A22_RAP_reuse_data_

bool	disable_addon_
	Some options. More...

bool	dump_matrices_

bool	useKokkos_

bool	use_as_preconditioner_

bool	implicitTranspose_

std::string	mode_

Teuchos::RCP< MultiVector >	P11res_
	Temporary memory. More...

Teuchos::RCP< MultiVector >	P11x_

Teuchos::RCP< MultiVector >	D0res_

Teuchos::RCP< MultiVector >	D0x_

Teuchos::RCP< MultiVector >	residual_

Teuchos::RCP< MultiVector >	P11resTmp_

Teuchos::RCP< MultiVector >	P11xTmp_

Teuchos::RCP< MultiVector >	D0resTmp_

Teuchos::RCP< MultiVector >	D0xTmp_

Additional Inherited Members
Static Public Member Functions inherited from MueLu::VerboseObject
static void	SetMueLuOStream (const Teuchos::RCP< Teuchos::FancyOStream > &mueluOStream)

static Teuchos::RCP < Teuchos::FancyOStream >	GetMueLuOStream ()

static void	SetDefaultVerbLevel (const VerbLevel defaultVerbLevel)
	Set the default (global) verbosity level. More...

static VerbLevel	GetDefaultVerbLevel ()
	Get the default (global) verbosity level. More...

Static Public Member Functions inherited from Teuchos::VerboseObject< VerboseObject >
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 Teuchos::VerboseObject< VerboseObject >
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

Detailed Description

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
class MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >

Preconditioner (wrapped as a Xpetra::Operator) for Maxwell's equations in curl-curl form.

This uses a 2x2 block reformulation.

Reference: P. Bochev, J. Hu, C. Siefert, and R. Tuminaro. "An algebraic multigrid approach based on a compatible gauge reformulation of Maxwell's equations." SIAM Journal on Scientific Computing, 31(1), 557-583.

Parameter list options:

refmaxwell: mode - a string specifying the order of solve of the block system. Allowed values are: "additive" (default), "121", "212", "1", "2"
refmaxwell: disable addon - bool specifing whether the addon should be built for stabilization. Default: "true"
refmaxwell: use as preconditioner - bool specifing whether RefMaxwell is used as a preconditioner or as a solver.
refmaxwell: dump matrices - bool specifing whether the matrices should be dumped. Default: "false"
refmaxwell: prolongator compute algorithm - a string specifying the algorithm to build the prolongator. Allowed values are: "mat-mat" and "gustavson"
refmaxwell: 11list and refmaxwell: 22list - parameter list for the multigrid hierarchies on 11 and 22 blocks
refmaxwell: subsolves on subcommunicators - bool redistribute the two subsolves to disjoint sub-communicators (so that the additive solve can occur in parallel) Default: "false"

Definition at line 54 of file MueLu_RefMaxwell_fwd.hpp.

Member Typedef Documentation

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

typedef Teuchos::ScalarTraits<Scalar>::magnitudeType MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::magnitudeType

Definition at line 132 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

typedef Xpetra::MultiVector<magnitudeType,LO,GO,NO> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RealValuedMultiVector

Definition at line 133 of file MueLu_RefMaxwell_decl.hpp.

Constructor & Destructor Documentation

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RefMaxwell ( )

inline

Constructor.

Definition at line 136 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RefMaxwell	(	Teuchos::RCP< Hierarchy >	HH,
		Teuchos::RCP< Hierarchy >	H22
	)

inline

Constructor with Hierarchies.

Definition at line 145 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RefMaxwell	(	const Teuchos::RCP< Matrix > &	SM_Matrix,
		const Teuchos::RCP< Matrix > &	D0_Matrix,
		const Teuchos::RCP< Matrix > &	Ms_Matrix,
		const Teuchos::RCP< Matrix > &	M0inv_Matrix,
		const Teuchos::RCP< Matrix > &	M1_Matrix,
		const Teuchos::RCP< MultiVector > &	Nullspace,
		const Teuchos::RCP< RealValuedMultiVector > &	Coords,
		Teuchos::ParameterList &	List,
		bool	ComputePrec = `true`
	)

inline

Constructor with Jacobian (with add on)

Parameters

[in]	SM_Matrix	Jacobian
[in]	D0_Matrix	Discrete Gradient
[in]	Ms_Matrix	Edge mass matrix for the nodal aggregates
[in]	M0inv_Matrix	Inverse of lumped nodal mass matrix (add on only)
[in]	M1_Matrix	Edge mass matrix for the add on
[in]	Nullspace	Null space (needed for periodic)
[in]	Coords	Nodal coordinates
[in]	List	Parameter list
[in]	ComputePrec	If true, compute the preconditioner immediately

Definition at line 165 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RefMaxwell	(	const Teuchos::RCP< Matrix > &	SM_Matrix,
		const Teuchos::RCP< Matrix > &	D0_Matrix,
		const Teuchos::RCP< Matrix > &	M0inv_Matrix,
		const Teuchos::RCP< Matrix > &	M1_Matrix,
		const Teuchos::RCP< MultiVector > &	Nullspace,
		const Teuchos::RCP< RealValuedMultiVector > &	Coords,
		Teuchos::ParameterList &	List,
		bool	ComputePrec = `true`
	)

inline

Constructor with Jacobian (with add on)

Parameters

[in]	SM_Matrix	Jacobian
[in]	D0_Matrix	Discrete Gradient
[in]	M0inv_Matrix	Inverse of lumped nodal mass matrix (add on only)
[in]	M1_Matrix	Edge mass matrix for the
[in]	Nullspace	Null space (needed for periodic)
[in]	Coords	Nodal coordinates
[in]	List	Parameter list
[in]	ComputePrec	If true, compute the preconditioner immediately

Definition at line 190 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RefMaxwell	(	const Teuchos::RCP< Matrix > &	D0_Matrix,
		const Teuchos::RCP< Matrix > &	M0inv_Matrix,
		const Teuchos::RCP< Matrix > &	M1_Matrix,
		const Teuchos::RCP< MultiVector > &	Nullspace,
		const Teuchos::RCP< RealValuedMultiVector > &	Coords,
		Teuchos::ParameterList &	List
	)

inline

Constructor without Jacobian (with add on)

Parameters

[in]	D0_Matrix	Discrete Gradient
[in]	M0inv_Matrix	Inverse of lumped nodal mass matrix (add on only)
[in]	M1_Matrix	Edge mass matrix for the
[in]	Nullspace	Null space (needed for periodic)
[in]	Coords	Nodal coordinates
[in]	List	Parameter list

Definition at line 212 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RefMaxwell	(	const Teuchos::RCP< Matrix > &	SM_Matrix,
		const Teuchos::RCP< Matrix > &	D0_Matrix,
		const Teuchos::RCP< Matrix > &	M1_Matrix,
		const Teuchos::RCP< MultiVector > &	Nullspace,
		const Teuchos::RCP< RealValuedMultiVector > &	Coords,
		Teuchos::ParameterList &	List,
		bool	ComputePrec
	)

inline

Constructor with Jacobian (no add on)

Parameters

[in]	SM_Matrix	Jacobian
[in]	D0_Matrix	Discrete Gradient
[in]	M1_Matrix	Edge mass matrix for the
[in]	Nullspace	Null space (needed for periodic)
[in]	Coords	Nodal coordinates
[in]	List	Parameter list
[in]	ComputePrec	If true, compute the preconditioner immediately

Definition at line 232 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RefMaxwell	(	const Teuchos::RCP< Matrix > &	D0_Matrix,
		const Teuchos::RCP< Matrix > &	M1_Matrix,
		const Teuchos::RCP< MultiVector > &	Nullspace,
		const Teuchos::RCP< RealValuedMultiVector > &	Coords,
		Teuchos::ParameterList &	List
	)

inline

Constructor without Jacobian (no add on)

Parameters

[in]	D0_Matrix	Discrete Gradient
[in]	M1_Matrix	Edge mass matrix for the
[in]	Nullspace	Null space (needed for periodic)
[in]	Coords	Nodal coordinates
[in]	List	Parameter list

Definition at line 252 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RefMaxwell	(	const Teuchos::RCP< Matrix > &	SM_Matrix,
		Teuchos::ParameterList &	List,
		bool	ComputePrec = `true`
	)

inline

Constructor with parameter list

Parameters

[in]	SM_Matrix	Jacobian
[in]	List	Parameter list
[in]	ComputePrec	If true, compute the preconditioner immediately

Definition at line 267 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

virtual MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::~RefMaxwell ( )

inlinevirtual

Destructor.

Definition at line 290 of file MueLu_RefMaxwell_decl.hpp.

Member Function Documentation

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP< const Xpetra::Map< LocalOrdinal, GlobalOrdinal, Node > > MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::getDomainMap ( ) const

virtual

Returns the Xpetra::Map object associated with the domain of this operator.

Implements Xpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >.

Definition at line 107 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP< const Xpetra::Map< LocalOrdinal, GlobalOrdinal, Node > > MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::getRangeMap ( ) const

virtual

Returns the Xpetra::Map object associated with the range of this operator.

Implements Xpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >.

Definition at line 113 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

const Teuchos::RCP<Matrix>& MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::getJacobian ( ) const

inline

Returns Jacobian matrix SM.

Definition at line 299 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::setParameters ( Teuchos::ParameterList & list )

Set parameters.

Definition at line 119 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::compute ( bool reuse = false )

Setup the preconditioner.

Definition at line 172 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::buildProlongator ( )

Setup the prolongator for the (1,1)-block.

Definition at line 1082 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::formCoarseMatrix ( )

Compute P11^{T}*A*P11 efficiently.

Definition at line 1591 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::resetMatrix	(	Teuchos::RCP< Matrix >	SM_Matrix_new,
		bool	ComputePrec = `true`
	)

Reset system matrix.

Definition at line 1728 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::apply	(	const MultiVector &	X,
		MultiVector &	Y,
		Teuchos::ETransp	mode = `Teuchos::NO_TRANS`,
		Scalar	alpha = `Teuchos::ScalarTraits<Scalar>::one()`,
		Scalar	beta = `Teuchos::ScalarTraits<Scalar>::zero()`
	)		const

virtual

Returns in Y the result of a Xpetra::Operator applied to a Xpetra::MultiVector X.

Parameters

[in]	X	- MultiVector of dimension NumVectors to multiply with matrix.
[out]	Y	- MultiVector of dimension NumVectors containing result.

Implements Xpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >.

Definition at line 1952 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

bool MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::hasTransposeApply ( ) const

Indicates whether this operator supports applying the adjoint operator.

Definition at line 2030 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::describe	(	Teuchos::FancyOStream &	out,
		const Teuchos::EVerbosityLevel	verbLevel = `Teuchos::VERB_HIGH`
	)		const

virtual

Reimplemented from Teuchos::Describable.

Definition at line 2070 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::initialize	(	const Teuchos::RCP< Matrix > &	D0_Matrix,
		const Teuchos::RCP< Matrix > &	Ms_Matrix,
		const Teuchos::RCP< Matrix > &	M0inv_Matrix,
		const Teuchos::RCP< Matrix > &	M1_Matrix,
		const Teuchos::RCP< MultiVector > &	Nullspace,
		const Teuchos::RCP< RealValuedMultiVector > &	Coords,
		Teuchos::ParameterList &	List
	)

private

Initialize with matrices except the Jacobian (don't compute the preconditioner)

Parameters

[in]	D0_Matrix	Discrete Gradient
[in]	Ms_Matrix	Edge mass matrix for nodal aggregates
[in]	M0inv_Matrix	Inverse of lumped nodal mass matrix (add on only)
[in]	M1_Matrix	Edge mass matrix for add on
[in]	Nullspace	Null space (needed for periodic)
[in]	Coords	Nodal coordinates
[in]	List	Parameter list

Definition at line 2037 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::applyInverseAdditive	(	const MultiVector &	RHS,
		MultiVector &	X
	)		const

private

apply additive algorithm for 2x2 solve

Definition at line 1737 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::applyInverse121	(	const MultiVector &	RHS,
		MultiVector &	X
	)		const

private

apply 1-2-1 algorithm for 2x2 solve

Definition at line 1829 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::applyInverse212	(	const MultiVector &	RHS,
		MultiVector &	X
	)		const

private

apply 2-1-2 algorithm for 2x2 solve

Definition at line 1842 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::solveH	(	const MultiVector &	RHS,
		MultiVector &	X
	)		const

private

apply solve to 1-1 block only

Definition at line 1854 of file MueLu_RefMaxwell_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::solve22	(	const MultiVector &	RHS,
		MultiVector &	X
	)		const

private

apply solve to 2-2 block only

Definition at line 1903 of file MueLu_RefMaxwell_def.hpp.

Member Data Documentation

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Hierarchy> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::HierarchyH_

private

Two hierarchies: one for the coarse (1,1)-block, another for the (2,2)-block.

Definition at line 378 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Hierarchy> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::Hierarchy22_

private

Definition at line 378 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<SmootherBase> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::PreSmoother_

private

Definition at line 379 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<SmootherBase> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::PostSmoother_

private

Definition at line 379 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

bool MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::useHiptmairSmoothing_

private

Definition at line 383 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::SM_Matrix_

private

Various matrices.

Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::D0_Matrix_

private

Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::D0_T_Matrix_

private

Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::M0inv_Matrix_

private

Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::M1_Matrix_

private

Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::Ms_Matrix_

private

Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::A_nodal_Matrix_

private

Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::P11_

private

Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::R11_

private

Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::AH_

private

Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::A22_

private

Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Matrix> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::Addon_Matrix_

private

Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

int MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::BCrowcount_

private

Vectors for BCs.

Definition at line 392 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

int MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::BCcolcount_

private

Definition at line 392 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::ArrayRCP<const bool> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::BCrows_

private

Definition at line 393 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::ArrayRCP<const bool> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::BCcols_

private

Definition at line 394 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<MultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::Nullspace_

private

Nullspace.

Definition at line 396 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<RealValuedMultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::Coords_

private

Coordinates.

Definition at line 398 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<RealValuedMultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::CoordsH_

private

Definition at line 398 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<const Import> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::ImporterH_

private

Importer to coarse (1,1) hierarchy.

Definition at line 400 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<const Import> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::Importer22_

private

Definition at line 400 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::ParameterList MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::parameterList_

private

Parameter lists.

Definition at line 402 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::ParameterList MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::precList11_

private

Definition at line 402 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::ParameterList MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::precList22_

private

Definition at line 402 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::ParameterList MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::smootherList_

private

Definition at line 402 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Teuchos::ParameterList> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::AH_AP_reuse_data_

private

Definition at line 403 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Teuchos::ParameterList> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::AH_RAP_reuse_data_

private

Definition at line 403 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Teuchos::ParameterList> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::A22_AP_reuse_data_

private

Definition at line 404 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<Teuchos::ParameterList> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::A22_RAP_reuse_data_

private

Definition at line 404 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

bool MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::disable_addon_

private

Some options.

Definition at line 406 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

bool MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::dump_matrices_

private

Definition at line 406 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

bool MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::useKokkos_

private

Definition at line 406 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

bool MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::use_as_preconditioner_

private

Definition at line 406 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

bool MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::implicitTranspose_

private

Definition at line 406 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

std::string MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::mode_

private

Definition at line 407 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<MultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::P11res_

mutableprivate

Temporary memory.

Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<MultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::P11x_

mutableprivate

Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<MultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::D0res_

mutableprivate

Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<MultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::D0x_

mutableprivate

Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<MultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::residual_

mutableprivate

Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<MultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::P11resTmp_

mutableprivate

Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<MultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::P11xTmp_

mutableprivate

Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<MultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::D0resTmp_

mutableprivate

Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

Teuchos::RCP<MultiVector> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::D0xTmp_

mutableprivate

Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.

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

Public Types

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node> class MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
class MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >