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MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node > Class Template Reference

This class enables the elimination of the nullspace component of the solution through the use of projection. More...

#include <MueLu_ProjectorSmoother_decl.hpp>

Inheritance diagram for MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >:
MueLu::SmootherPrototype< Scalar, LocalOrdinal, GlobalOrdinal, Node > MueLu::SmootherBase< Scalar, LocalOrdinal, GlobalOrdinal, Node > MueLu::Factory MueLu::BaseClass MueLu::FactoryBase MueLu::FactoryAcceptor MueLu::ParameterListAcceptorImpl MueLu::VerboseObject MueLu::Describable MueLu::BaseClass MueLu::ParameterListAcceptor Teuchos::VerboseObject< VerboseObject > Teuchos::Describable MueLu::VerboseObject MueLu::Describable Teuchos::VerboseObjectBase Teuchos::LabeledObject Teuchos::VerboseObject< VerboseObject > Teuchos::Describable Teuchos::VerboseObjectBase Teuchos::LabeledObject

Public Member Functions

RCP< SmootherPrototypeCopy () const
 
- Public Member Functions inherited from MueLu::SmootherPrototype< Scalar, LocalOrdinal, GlobalOrdinal, Node >
 SmootherPrototype ()
 /Destructors. More...
 
virtual ~SmootherPrototype ()
 
bool IsSetup () const
 Get the state of a smoother prototype. More...
 
void IsSetup (bool const &ToF)
 Set the state of a smoother prototype. More...
 
virtual void CallBuild (Level &) const
 
virtual void CallDeclareInput (Level &requestedLevel) const
 
- Public Member Functions inherited from MueLu::SmootherBase< Scalar, LocalOrdinal, GlobalOrdinal, Node >
 SmootherBase ()
 
virtual ~SmootherBase ()
 
void declareConstructionOutcome (bool fail, std::string msg)
 
bool constructionSuccessful ()
 
std::string constructionErrorMsg ()
 
- Public Member Functions inherited from MueLu::BaseClass
virtual ~BaseClass ()
 Destructor. More...
 
- 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::FancyOStreamGetOStream (MsgType type, int thisProcRankOnly=0) const
 Get an output stream for outputting the input message type. More...
 
Teuchos::FancyOStreamGetBlackHole () 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 VerboseObjectsetVerbLevel (const EVerbosityLevel verbLevel) const
 
virtual const VerboseObjectsetOverridingVerbLevel (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 VerboseObjectBasesetOStream (const RCP< FancyOStream > &oStream) const
 
virtual const VerboseObjectBasesetOverridingOStream (const RCP< FancyOStream > &oStream) const
 
virtual VerboseObjectBasesetLinePrefix (const std::string &linePrefix)
 
virtual RCP< FancyOStreamgetOStream () const
 
virtual RCP< FancyOStreamgetOverridingOStream () const
 
virtual std::string getLinePrefix () const
 
virtual OSTab getOSTab (const int tabs=1, const std::string &linePrefix="") const
 
- Public Member Functions inherited from MueLu::Describable
virtual ~Describable ()
 Destructor. More...
 
virtual std::string ShortClassName () const
 Return the class name of the object, without template parameters and without namespace. More...
 
virtual void describe (Teuchos::FancyOStream &out_arg, const VerbLevel verbLevel=Default) const
 
void describe (Teuchos::FancyOStream &out, const Teuchos::EVerbosityLevel verbLevel=Teuchos::Describable::verbLevel_default) const
 Print the object with some verbosity level to an FancyOStream object. More...
 
- Public Member Functions inherited from Teuchos::Describable
void describe (std::ostream &out, const EVerbosityLevel verbLevel=verbLevel_default) const
 
 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 MueLu::Factory
void EnableMultipleCallCheck () const
 Constructor. More...
 
void DisableMultipleCallCheck () const
 
void ResetDebugData () const
 
- Public Member Functions inherited from MueLu::FactoryBase
 FactoryBase ()
 Constructor. More...
 
virtual ~FactoryBase ()
 Destructor. More...
 
int GetID () const
 return unique factory id More...
 
- Public Member Functions inherited from MueLu::FactoryAcceptor
virtual ~FactoryAcceptor ()
 
virtual void SetFactory (const std::string &varName, const RCP< const FactoryBase > &factory)=0
 Configuration. More...
 
virtual const RCP< const
FactoryBase
GetFactory (const std::string &varName) const =0
 
- Public Member Functions inherited from MueLu::ParameterListAcceptorImpl
 ParameterListAcceptorImpl ()
 
virtual ~ParameterListAcceptorImpl ()=default
 
virtual void SetParameterList (const Teuchos::ParameterList &paramList)
 Set parameters from a parameter list and return with default values. More...
 
virtual const
Teuchos::ParameterList
GetParameterList () const
 
void SetParameter (const std::string &name, const ParameterEntry &entry)
 Set a parameter directly as a ParameterEntry. More...
 
const ParameterEntryGetParameter (const std::string &name) const
 Retrieves a const entry with the name name. More...
 
virtual void GetDocumentation (std::ostream &os) const
 
- Public Member Functions inherited from MueLu::ParameterListAcceptor
 ParameterListAcceptor ()
 
virtual ~ParameterListAcceptor ()=default
 
virtual Teuchos::RCP< const
Teuchos::ParameterList
GetValidParameterList () const =0
 Return a const parameter list of valid parameters that setParameterList() will accept. More...
 

Private Attributes

RCP< MultiVector > Borth_
 
RCP< SmootherPrototypecoarseSolver_
 

Constructors / destructors

 ProjectorSmoother (RCP< SmootherPrototype > coarseSolver)
 Constructor. More...
 
virtual ~ProjectorSmoother ()
 Destructor. More...
 
void DeclareInput (Level &currentLevel) const
 Input. More...
 

Setup and Apply methods.

void Setup (Level &currentLevel)
 Set up the direct solver. More...
 
void Apply (MultiVector &X, const MultiVector &B, bool InitialGuessIsZero=false) const
 Apply the direct solver. Solves the linear system AX=B using the constructed solver. More...
 

Overridden from Teuchos::Describable

std::string description () const
 Return a simple one-line description of this object. More...
 
void print (Teuchos::FancyOStream &out, const VerbLevel verbLevel=Default) const
 Print the object with some verbosity level to an FancyOStream object. More...
 
size_t getNodeSmootherComplexity () const
 Get a rough estimate of cost per iteration. More...
 

Additional Inherited Members

- Public Types inherited from MueLu::SmootherPrototype< Scalar, LocalOrdinal, GlobalOrdinal, Node >
typedef Scalar scalar_type
 
typedef LocalOrdinal local_ordinal_type
 
typedef GlobalOrdinal global_ordinal_type
 
typedef Node node_type
 
- Public Types inherited from MueLu::SmootherBase< Scalar, LocalOrdinal, GlobalOrdinal, Node >
typedef Scalar scalar_type
 
typedef LocalOrdinal local_ordinal_type
 
typedef GlobalOrdinal global_ordinal_type
 
typedef Node node_type
 
- Static Public Member Functions inherited from MueLu::VerboseObject
static void SetMueLuOStream (const Teuchos::RCP< Teuchos::FancyOStream > &mueluOStream)
 
static void SetMueLuOFileStream (const std::string &filename)
 
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< FancyOStreamgetDefaultOStream ()
 
- Static Public Member Functions inherited from MueLu::Factory
static void EnableMultipleCheckGlobally ()
 
static void DisableMultipleCheckGlobally ()
 
- 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 = SmootherPrototype<>::scalar_type, class LocalOrdinal = typename SmootherPrototype<Scalar>::local_ordinal_type, class GlobalOrdinal = typename SmootherPrototype<Scalar, LocalOrdinal>::global_ordinal_type, class Node = typename SmootherPrototype<Scalar, LocalOrdinal, GlobalOrdinal>::node_type>
class MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >

This class enables the elimination of the nullspace component of the solution through the use of projection.

The solution of the coarsest level system may have a significant nullspace component. We can try to eliminate it through the use of nullspaces. Due to our construction algorithms, we always have some nullspace vectors on the coarsest level. However, we do not know if they are true nullspace vectors or are only approximations to them.

We will use the Rayleigh quotiont to separate the true nullspace vectors. If Rayleigh quotient is less than specified epsilon, we consider the vector to be a true nullspace vector.

After we separate true nullspace vectors, we project our solution to the space orthogonal to them. To do that in a computationally efficient manner, in the Setup stage we orthonormalize the selected nullspace components.

Definition at line 79 of file MueLu_ProjectorSmoother_decl.hpp.

Constructor & Destructor Documentation

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >
MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >::ProjectorSmoother ( RCP< SmootherPrototype coarseSolver)

Constructor.

Definition at line 62 of file MueLu_ProjectorSmoother_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >
MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >::~ProjectorSmoother ( )
virtual

Destructor.

Definition at line 66 of file MueLu_ProjectorSmoother_def.hpp.

Member Function Documentation

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >
void MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >::DeclareInput ( Level currentLevel) const
virtual
template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >
void MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >::Setup ( Level currentLevel)
virtual

Set up the direct solver.

Implements MueLu::SmootherPrototype< Scalar, LocalOrdinal, GlobalOrdinal, Node >.

Definition at line 77 of file MueLu_ProjectorSmoother_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >
void MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >::Apply ( MultiVector &  X,
const MultiVector &  B,
bool  InitialGuessIsZero = false 
) const
virtual

Apply the direct solver. Solves the linear system AX=B using the constructed solver.

Parameters
Xinitial guess
Bright-hand side
InitialGuessIsZeroThis option has no effect.

Implements MueLu::SmootherBase< Scalar, LocalOrdinal, GlobalOrdinal, Node >.

Definition at line 139 of file MueLu_ProjectorSmoother_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >
RCP< MueLu::SmootherPrototype< Scalar, LocalOrdinal, GlobalOrdinal, Node > > MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >::Copy ( ) const
virtual
template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >
std::string MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >::description ( ) const
virtual

Return a simple one-line description of this object.

Reimplemented from MueLu::Describable.

Definition at line 165 of file MueLu_ProjectorSmoother_def.hpp.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >
void MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >::print ( Teuchos::FancyOStream out,
const VerbLevel  verbLevel = Default 
) const

Print the object with some verbosity level to an FancyOStream object.

Definition at line 172 of file MueLu_ProjectorSmoother_def.hpp.

template<class Scalar = SmootherPrototype<>::scalar_type, class LocalOrdinal = typename SmootherPrototype<Scalar>::local_ordinal_type, class GlobalOrdinal = typename SmootherPrototype<Scalar, LocalOrdinal>::global_ordinal_type, class Node = typename SmootherPrototype<Scalar, LocalOrdinal, GlobalOrdinal>::node_type>
size_t MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >::getNodeSmootherComplexity ( ) const
inlinevirtual

Get a rough estimate of cost per iteration.

Implements MueLu::SmootherBase< Scalar, LocalOrdinal, GlobalOrdinal, Node >.

Definition at line 129 of file MueLu_ProjectorSmoother_decl.hpp.

Member Data Documentation

template<class Scalar = SmootherPrototype<>::scalar_type, class LocalOrdinal = typename SmootherPrototype<Scalar>::local_ordinal_type, class GlobalOrdinal = typename SmootherPrototype<Scalar, LocalOrdinal>::global_ordinal_type, class Node = typename SmootherPrototype<Scalar, LocalOrdinal, GlobalOrdinal>::node_type>
RCP<MultiVector> MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >::Borth_
private

Definition at line 134 of file MueLu_ProjectorSmoother_decl.hpp.

template<class Scalar = SmootherPrototype<>::scalar_type, class LocalOrdinal = typename SmootherPrototype<Scalar>::local_ordinal_type, class GlobalOrdinal = typename SmootherPrototype<Scalar, LocalOrdinal>::global_ordinal_type, class Node = typename SmootherPrototype<Scalar, LocalOrdinal, GlobalOrdinal>::node_type>
RCP<SmootherPrototype> MueLu::ProjectorSmoother< Scalar, LocalOrdinal, GlobalOrdinal, Node >::coarseSolver_
private

Definition at line 135 of file MueLu_ProjectorSmoother_decl.hpp.


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