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MueLu
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Preconditioner (wrapped as a Xpetra::Operator) for Maxwell's equations in curl-curl form. More...
#include <MueLu_RefMaxwell_decl.hpp>
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}*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 |
Public Member Functions inherited from MueLu::VerboseObject | |
| VerboseObject () | |
| virtual | ~VerboseObject () |
| Destructor. More... | |
| 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 |
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 | SetDefaultVerbLevel (const VerbLevel defaultVerbLevel) |
| Set the default (global) verbosity level. More... | |
| static VerbLevel | GetDefaultVerbLevel () |
| Get the default (global) verbosity level. More... | |
| static void | SetMueLuOStream (const Teuchos::RCP< Teuchos::FancyOStream > &mueluOStream) |
| static Teuchos::RCP< Teuchos::FancyOStream > | GetMueLuOStream () |
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 125 of file MueLu_RefMaxwell_decl.hpp.
| typedef Teuchos::ScalarTraits<Scalar>::magnitudeType MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::magnitudeType |
Definition at line 132 of file MueLu_RefMaxwell_decl.hpp.
| typedef Xpetra::MultiVector<magnitudeType,LO,GO,NO> MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RealValuedMultiVector |
Definition at line 133 of file MueLu_RefMaxwell_decl.hpp.
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Constructor.
Definition at line 136 of file MueLu_RefMaxwell_decl.hpp.
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Constructor with Hierarchies.
Definition at line 145 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 165 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 190 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 212 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 232 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 252 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 267 of file MueLu_RefMaxwell_decl.hpp.
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Destructor.
Definition at line 290 of file MueLu_RefMaxwell_decl.hpp.
| Teuchos::RCP< const Xpetra::Map< LocalOrdinal, GlobalOrdinal, Node > > MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::getDomainMap |
Returns the Xpetra::Map object associated with the domain of this operator.
Definition at line 107 of file MueLu_RefMaxwell_def.hpp.
| Teuchos::RCP< const Xpetra::Map< LocalOrdinal, GlobalOrdinal, Node > > MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::getRangeMap |
Returns the Xpetra::Map object associated with the range of this operator.
Definition at line 113 of file MueLu_RefMaxwell_def.hpp.
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Returns Jacobian matrix SM.
Definition at line 299 of file MueLu_RefMaxwell_decl.hpp.
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::setParameters | ( | Teuchos::ParameterList & | list | ) |
Set parameters.
Definition at line 119 of file MueLu_RefMaxwell_def.hpp.
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::compute | ( | bool | reuse = false | ) |
Setup the preconditioner.
Definition at line 172 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 1082 of file MueLu_RefMaxwell_def.hpp.
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::formCoarseMatrix |
Compute P11^{T}*A*P11 efficiently.
Definition at line 1591 of file MueLu_RefMaxwell_def.hpp.
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::resetMatrix | ( | Teuchos::RCP< Matrix > | SM_Matrix_new, |
| bool | ComputePrec = true |
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Reset system matrix.
Definition at line 1728 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, |
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| Scalar | alpha = Teuchos::ScalarTraits<Scalar>::one(), |
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| Scalar | beta = Teuchos::ScalarTraits<Scalar>::zero() |
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| ) | 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 1952 of file MueLu_RefMaxwell_def.hpp.
| bool MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::hasTransposeApply |
Indicates whether this operator supports applying the adjoint operator.
Definition at line 2030 of file MueLu_RefMaxwell_def.hpp.
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::describe | ( | Teuchos::FancyOStream & | out, |
| const Teuchos::EVerbosityLevel | verbLevel = Teuchos::VERB_HIGH |
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| ) | const |
Definition at line 2069 of file MueLu_RefMaxwell_def.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 2036 of file MueLu_RefMaxwell_def.hpp.
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apply additive algorithm for 2x2 solve
Definition at line 1737 of file MueLu_RefMaxwell_def.hpp.
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apply 1-2-1 algorithm for 2x2 solve
Definition at line 1829 of file MueLu_RefMaxwell_def.hpp.
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apply 2-1-2 algorithm for 2x2 solve
Definition at line 1842 of file MueLu_RefMaxwell_def.hpp.
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apply solve to 1-1 block only
Definition at line 1854 of file MueLu_RefMaxwell_def.hpp.
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apply solve to 2-2 block only
Definition at line 1903 of file MueLu_RefMaxwell_def.hpp.
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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.
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Definition at line 378 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 379 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 379 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 383 of file MueLu_RefMaxwell_decl.hpp.
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Various matrices.
Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 385 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 386 of file MueLu_RefMaxwell_decl.hpp.
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Vectors for BCs.
Definition at line 392 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 392 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 393 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 394 of file MueLu_RefMaxwell_decl.hpp.
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Nullspace.
Definition at line 396 of file MueLu_RefMaxwell_decl.hpp.
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Coordinates.
Definition at line 398 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 398 of file MueLu_RefMaxwell_decl.hpp.
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Importer to coarse (1,1) hierarchy.
Definition at line 400 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 400 of file MueLu_RefMaxwell_decl.hpp.
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Parameter lists.
Definition at line 402 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 402 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 402 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 402 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 403 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 403 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 404 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 404 of file MueLu_RefMaxwell_decl.hpp.
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Some options.
Definition at line 406 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 406 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 406 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 406 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 406 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 407 of file MueLu_RefMaxwell_decl.hpp.
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Temporary memory.
Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.
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Definition at line 409 of file MueLu_RefMaxwell_decl.hpp.