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Preconditioner (wrapped as a Xpetra::Operator) for Maxwell's equations in curl-curl form. More...
#include <MueLu_RefMaxwell_fwd.hpp>
 
  
 | Public Types | |
| typedef Teuchos::ScalarTraits < Scalar >::magnitudeType | magnitudeType | 
| typedef Teuchos::ScalarTraits < Scalar >::coordinateType | coordinateType | 
| typedef Xpetra::MultiVector < coordinateType, 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}*A*P11 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 | 
| void | residual (const MultiVector &X, const MultiVector &B, MultiVector &R) const | 
| Compute a residual R = B - (*this) * X.  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::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 | 
| 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... | |
| void | allocateMemory (int numVectors) const | 
| allocate multivectors for solve  More... | |
| void | dump (const Matrix &A, std::string name) const | 
| dump out matrix  More... | |
| void | dump (const MultiVector &X, std::string name) const | 
| dump out multivector  More... | |
| void | dumpCoords (const RealValuedMultiVector &X, std::string name) const | 
| dump out real-valued multivector  More... | |
| void | dump (const Teuchos::ArrayRCP< bool > &v, std::string name) const | 
| dump out boolean ArrayView  More... | |
| Teuchos::RCP < Teuchos::TimeMonitor > | getTimer (std::string name, RCP< const Teuchos::Comm< int > > comm=Teuchos::null) const | 
| get a (synced) timer  More... | |
| void | setMatvecParams (Matrix &A, RCP< ParameterList > matvecParams) | 
| set parameters  More... | |
| Additional Inherited Members | |
|  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< FancyOStream > | getDefaultOStream () | 
|  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 | 
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 blocksrefmaxwell: 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.
| typedef Teuchos::ScalarTraits<Scalar>::magnitudeType MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::magnitudeType | 
Definition at line 135 of file MueLu_RefMaxwell_decl.hpp.
| typedef Teuchos::ScalarTraits<Scalar>::coordinateType MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::coordinateType | 
Definition at line 136 of file MueLu_RefMaxwell_decl.hpp.
| typedef Xpetra::MultiVector<coordinateType,LO,GO,NO> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RealValuedMultiVector | 
Definition at line 137 of file MueLu_RefMaxwell_decl.hpp.
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Constructor.
Definition at line 140 of file MueLu_RefMaxwell_decl.hpp.
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Constructor with Hierarchies.
Definition at line 149 of file MueLu_RefMaxwell_decl.hpp.
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Constructor with Jacobian (with add on)
| [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 169 of file MueLu_RefMaxwell_decl.hpp.
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Constructor with Jacobian (with add on)
| [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 194 of file MueLu_RefMaxwell_decl.hpp.
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Constructor without Jacobian (with add on)
| [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 216 of file MueLu_RefMaxwell_decl.hpp.
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Constructor with Jacobian (no add on)
| [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 236 of file MueLu_RefMaxwell_decl.hpp.
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Constructor without Jacobian (no add on)
| [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 256 of file MueLu_RefMaxwell_decl.hpp.
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Constructor with parameter list
| [in] | SM_Matrix | Jacobian | 
| [in] | List | Parameter list | 
| [in] | ComputePrec | If true, compute the preconditioner immediately | 
Definition at line 271 of file MueLu_RefMaxwell_decl.hpp.
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Destructor.
Definition at line 294 of file MueLu_RefMaxwell_decl.hpp.
| Teuchos::RCP< const Xpetra::Map< LocalOrdinal, GlobalOrdinal, Node > > MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::getDomainMap | ( | ) | const | 
Returns the Xpetra::Map object associated with the domain of this operator.
Definition at line 224 of file MueLu_RefMaxwell_def.hpp.
| Teuchos::RCP< const Xpetra::Map< LocalOrdinal, GlobalOrdinal, Node > > MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::getRangeMap | ( | ) | const | 
Returns the Xpetra::Map object associated with the range of this operator.
Definition at line 230 of file MueLu_RefMaxwell_def.hpp.
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Returns Jacobian matrix SM.
Definition at line 303 of file MueLu_RefMaxwell_decl.hpp.
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::setParameters | ( | Teuchos::ParameterList & | list | ) | 
Set parameters.
Definition at line 236 of file MueLu_RefMaxwell_def.hpp.
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::compute | ( | bool | reuse = false | ) | 
Setup the preconditioner.
Definition at line 318 of file MueLu_RefMaxwell_def.hpp.
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::buildProlongator | ( | ) | 
Setup the prolongator for the (1,1)-block.
Definition at line 1397 of file MueLu_RefMaxwell_def.hpp.
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::formCoarseMatrix | ( | ) | 
Compute P11^{T}*A*P11 efficiently.
Definition at line 1933 of file MueLu_RefMaxwell_def.hpp.
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::resetMatrix | ( | Teuchos::RCP< Matrix > | SM_Matrix_new, | 
| bool | ComputePrec = true | ||
| ) | 
Reset system matrix.
Definition at line 2065 of file MueLu_RefMaxwell_def.hpp.
| 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 | 
Returns in Y the result of a Xpetra::Operator applied to a Xpetra::MultiVector X.
| [in] | X | - MultiVector of dimension NumVectors to multiply with matrix. | 
| [out] | Y | - MultiVector of dimension NumVectors containing result. | 
Definition at line 2329 of file MueLu_RefMaxwell_def.hpp.
| bool MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::hasTransposeApply | ( | ) | const | 
Indicates whether this operator supports applying the adjoint operator.
Definition at line 2392 of file MueLu_RefMaxwell_def.hpp.
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::describe | ( | Teuchos::FancyOStream & | out, | 
| const Teuchos::EVerbosityLevel | verbLevel = Teuchos::VERB_HIGH | ||
| ) | const | 
Definition at line 2489 of file MueLu_RefMaxwell_def.hpp.
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Compute a residual R = B - (*this) * X.
Definition at line 336 of file MueLu_RefMaxwell_decl.hpp.
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Initialize with matrices except the Jacobian (don't compute the preconditioner)
| [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 2399 of file MueLu_RefMaxwell_def.hpp.
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apply additive algorithm for 2x2 solve
Definition at line 2075 of file MueLu_RefMaxwell_def.hpp.
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apply 1-2-1 algorithm for 2x2 solve
Definition at line 2210 of file MueLu_RefMaxwell_def.hpp.
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apply 2-1-2 algorithm for 2x2 solve
Definition at line 2223 of file MueLu_RefMaxwell_def.hpp.
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apply solve to 1-1 block only
Definition at line 2235 of file MueLu_RefMaxwell_def.hpp.
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apply solve to 2-2 block only
Definition at line 2282 of file MueLu_RefMaxwell_def.hpp.
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allocate multivectors for solve
Definition at line 1302 of file MueLu_RefMaxwell_def.hpp.
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dump out matrix
Definition at line 1330 of file MueLu_RefMaxwell_def.hpp.
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dump out multivector
Definition at line 1339 of file MueLu_RefMaxwell_def.hpp.
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dump out real-valued multivector
Definition at line 1348 of file MueLu_RefMaxwell_def.hpp.
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dump out boolean ArrayView
Definition at line 1357 of file MueLu_RefMaxwell_def.hpp.
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get a (synced) timer
Definition at line 1381 of file MueLu_RefMaxwell_def.hpp.
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set parameters
Definition at line 404 of file MueLu_RefMaxwell_decl.hpp.
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Two hierarchies: one for the coarse (1,1)-block, another for the (2,2)-block.
Definition at line 414 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 414 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 415 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 415 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 419 of file MueLu_RefMaxwell_decl.hpp.
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Various matrices.
Definition at line 421 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 421 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 421 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 421 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 422 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 422 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 422 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 422 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 422 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 422 of file MueLu_RefMaxwell_decl.hpp.
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Vectors for BCs.
Definition at line 427 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 427 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 428 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 428 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 428 of file MueLu_RefMaxwell_decl.hpp.
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Nullspace.
Definition at line 430 of file MueLu_RefMaxwell_decl.hpp.
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Coordinates.
Definition at line 432 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 432 of file MueLu_RefMaxwell_decl.hpp.
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Importer to coarse (1,1) hierarchy.
Definition at line 434 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 434 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 435 of file MueLu_RefMaxwell_decl.hpp.
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Parameter lists.
Definition at line 437 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 439 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 439 of file MueLu_RefMaxwell_decl.hpp.
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Some options.
Definition at line 441 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 442 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 443 of file MueLu_RefMaxwell_decl.hpp.
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Temporary memory.
Definition at line 445 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 445 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 445 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 445 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 445 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 445 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 445 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 445 of file MueLu_RefMaxwell_decl.hpp.