Preconditioner (wrapped as a Xpetra::Operator) for Maxwell's equations in curl-curl form. More...
#include <MueLu_RefMaxwell_decl.hpp>
Public Types | |
| using | magnitudeType = typename Teuchos::ScalarTraits< Scalar >::magnitudeType |
| using | coordinateType = typename Teuchos::ScalarTraits< Scalar >::coordinateType |
| using | RealValuedMultiVector = typename Xpetra::MultiVector< coordinateType, LO, GO, NO > |
Public Member Functions | |
| RefMaxwell () | |
| Constructor. | |
| RefMaxwell (Teuchos::RCP< Hierarchy > HH, Teuchos::RCP< Hierarchy > H22) | |
| Constructor with Hierarchies. | |
| RefMaxwell (const Teuchos::RCP< Matrix > &SM_Matrix, const Teuchos::RCP< Matrix > &Dk_1, const Teuchos::RCP< Matrix > &Dk_2, const Teuchos::RCP< Matrix > &D0, const Teuchos::RCP< Matrix > &M1_beta, const Teuchos::RCP< Matrix > &M1_alpha, const Teuchos::RCP< Matrix > &Mk_one, const Teuchos::RCP< Matrix > &Mk_1_one, const Teuchos::RCP< Matrix > &invMk_1_invBeta, const Teuchos::RCP< Matrix > &invMk_2_invAlpha, const Teuchos::RCP< MultiVector > &Nullspace11, const Teuchos::RCP< MultiVector > &Nullspace22, const Teuchos::RCP< RealValuedMultiVector > &NodalCoords, Teuchos::ParameterList &List, bool ComputePrec=true) | |
| RefMaxwell (const Teuchos::RCP< Matrix > &SM_Matrix, const Teuchos::RCP< Matrix > &Dk_1, const Teuchos::RCP< Matrix > &Dk_2, const Teuchos::RCP< Matrix > &D0, const Teuchos::RCP< Matrix > &M1_beta, const Teuchos::RCP< Matrix > &M1_alpha, const Teuchos::RCP< Matrix > &Mk_one, const Teuchos::RCP< Matrix > &Mk_1_one, const Teuchos::RCP< Matrix > &invMk_1_invBeta, const Teuchos::RCP< Matrix > &invMk_2_invAlpha, const Teuchos::RCP< MultiVector > &Nullspace11, const Teuchos::RCP< MultiVector > &Nullspace22, const Teuchos::RCP< RealValuedMultiVector > &NodalCoords, const Teuchos::RCP< MultiVector > &Material_beta, const Teuchos::RCP< MultiVector > &Material_alpha, Teuchos::ParameterList &List, bool ComputePrec=true) | |
| 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 > &Nullspace11, const Teuchos::RCP< RealValuedMultiVector > &NodalCoords, Teuchos::ParameterList &List, bool ComputePrec=true) | |
| 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 > &Nullspace11, const Teuchos::RCP< RealValuedMultiVector > &NodalCoords, const Teuchos::RCP< MultiVector > &Material, 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 > &Nullspace11, const Teuchos::RCP< RealValuedMultiVector > &NodalCoords, 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 > &Nullspace11, const Teuchos::RCP< RealValuedMultiVector > &NodalCoords, 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 > &Nullspace11, const Teuchos::RCP< RealValuedMultiVector > &NodalCoords, Teuchos::ParameterList &List, bool ComputePrec) | |
| RefMaxwell (const Teuchos::RCP< Matrix > &D0_Matrix, const Teuchos::RCP< Matrix > &M1_Matrix, const Teuchos::RCP< MultiVector > &Nullspace11, const Teuchos::RCP< RealValuedMultiVector > &NodalCoords, Teuchos::ParameterList &List) | |
| RefMaxwell (const Teuchos::RCP< Matrix > &SM_Matrix, Teuchos::ParameterList &List, bool ComputePrec=true) | |
| virtual | ~RefMaxwell ()=default |
| Destructor. | |
| const Teuchos::RCP< const Map > | getDomainMap () const |
| Returns the Xpetra::Map object associated with the domain of this operator. | |
| const Teuchos::RCP< const Map > | getRangeMap () const |
| Returns the Xpetra::Map object associated with the range of this operator. | |
| const Teuchos::RCP< Matrix > & | getJacobian () const |
| Returns Jacobian matrix SM. | |
| void | setParameters (Teuchos::ParameterList &list) |
| Set parameters. | |
| void | compute (bool reuse=false) |
| Setup the preconditioner. | |
| void | resetMatrix (Teuchos::RCP< Matrix > SM_Matrix_new, bool ComputePrec=true) |
| Reset system matrix. | |
| 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. | |
| 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. | |
| RCP< MultiVector > | buildNullspace (const int spaceNumber, const Kokkos::View< bool *, typename Node::device_type > &bcs, const bool applyBCs) |
| Builds a nullspace. | |
| Teuchos::RCP< Matrix > | buildProjection (const int spaceNumber, const RCP< MultiVector > &EdgeNullspace) const |
| Builds a projection from a vector values space into a vector valued nodal space. | |
| void | buildNodalProlongator (const Teuchos::RCP< Matrix > &A_nodal, Teuchos::RCP< Matrix > &P_nodal, Teuchos::RCP< MultiVector > &Nullspace_nodal, Teuchos::RCP< RealValuedMultiVector > &Coords_nodal) const |
| RCP< Matrix > | buildVectorNodalProlongator (const Teuchos::RCP< Matrix > &P_nodal) const |
| void | buildProlongator (const int spaceNumber, const Teuchos::RCP< Matrix > &A_nodal_Matrix, const RCP< MultiVector > &EdgeNullspace, Teuchos::RCP< Matrix > &edgeProlongator, Teuchos::RCP< MultiVector > &coarseEdgeNullspace, Teuchos::RCP< RealValuedMultiVector > &coarseNodalCoords) const |
| RCP< Matrix > | buildAddon (const int spaceNumber) |
 Public Member Functions inherited from MueLu::VerboseObject | |
| VerboseObject () | |
| virtual | ~VerboseObject () |
| Destructor. | |
| VerbLevel | GetVerbLevel () const |
| Get the verbosity level. | |
| void | SetVerbLevel (const VerbLevel verbLevel) |
| Set the verbosity level of this object. | |
| int | GetProcRankVerbose () const |
| Get proc rank used for printing. Do not use this information for any other purpose. | |
| int | SetProcRankVerbose (int procRank) const |
| Set proc rank used for printing. | |
| bool | IsPrint (MsgType type, int thisProcRankOnly=-1) const |
| Find out whether we need to print out information for a specific message type. | |
| Teuchos::FancyOStream & | GetOStream (MsgType type, int thisProcRankOnly=0) const |
| Get an output stream for outputting the input message type. | |
| Teuchos::FancyOStream & | GetBlackHole () const |
Private Member Functions | |
| Teuchos::RCP< Teuchos::ParameterList > | getValidParamterList () |
| 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 > &Nullspace11, const Teuchos::RCP< RealValuedMultiVector > &NodalCoords, const Teuchos::RCP< MultiVector > &Material, Teuchos::ParameterList &List) |
| void | initialize (const int k, const Teuchos::RCP< Matrix > &Dk_1, const Teuchos::RCP< Matrix > &Dk_2, const Teuchos::RCP< Matrix > &D0, const Teuchos::RCP< Matrix > &M1_beta, const Teuchos::RCP< Matrix > &M1_alpha, const Teuchos::RCP< Matrix > &Mk_one, const Teuchos::RCP< Matrix > &Mk_1_one, const Teuchos::RCP< Matrix > &invMk_1_invBeta, const Teuchos::RCP< Matrix > &invMk_2_invAlpha, const Teuchos::RCP< MultiVector > &Nullspace11, const Teuchos::RCP< MultiVector > &Nullspace22, const Teuchos::RCP< RealValuedMultiVector > &NodalCoords, const Teuchos::RCP< MultiVector > &Material_beta, const Teuchos::RCP< MultiVector > &Material_alpha, Teuchos::ParameterList &List) |
| void | determineSubHierarchyCommSizes (bool &doRebalancing, int &rebalanceStriding, int &numProcsCoarseA11, int &numProcsA22) |
| Determine how large the sub-communicators for the two hierarchies should be. | |
| void | buildCoarse11Matrix () |
| Compute coarseA11 = P11^{T}*SM*P11 + addon efficiently. | |
| void | rebalanceCoarse11Matrix (const int rebalanceStriding, const int numProcsCoarseA11) |
| rebalance the coarse A11 matrix, as well as P11, CoordsCoarse11 and Addon11 | |
| void | build22Matrix (const bool reuse, const bool doRebalancing, const int rebalanceStriding, const int numProcsA22) |
| Setup A22 = D0^T SM D0 and rebalance it, as well as D0 and Coords_. | |
| void | setupSubSolve (Teuchos::RCP< Hierarchy > &hierarchy, Teuchos::RCP< Operator > &thyraPrecOp, const Teuchos::RCP< Matrix > &A, const Teuchos::RCP< MultiVector > &Nullspace, const Teuchos::RCP< RealValuedMultiVector > &Coords, const Teuchos::RCP< MultiVector > &Material, Teuchos::ParameterList ¶ms, std::string &label, const bool reuse, const bool isSingular=false) |
| Setup a subsolve. | |
| void | setFineLevelSmoother11 () |
| Set the fine level smoother. | |
| void | applyInverseAdditive (const MultiVector &RHS, MultiVector &X) const |
| apply additive algorithm for 2x2 solve | |
| void | solveH (const MultiVector &RHS, MultiVector &X) const |
| apply solve to 1-1 block only | |
| void | solve22 (const MultiVector &RHS, MultiVector &X) const |
| apply solve to 2-2 block only | |
| void | allocateMemory (int numVectors) const |
| allocate multivectors for solve | |
| void | dump (const RCP< Matrix > &A, std::string name) const |
| dump out matrix | |
| void | dump (const RCP< MultiVector > &X, std::string name) const |
| dump out multivector | |
| void | dumpCoords (const RCP< RealValuedMultiVector > &X, std::string name) const |
| dump out real-valued multivector | |
| void | dump (const Teuchos::ArrayRCP< bool > &v, std::string name) const |
| dump out boolean ArrayView | |
| void | dump (const Kokkos::View< bool *, typename Node::device_type > &v, std::string name) const |
| dump out boolean Kokkos::View | |
| Teuchos::RCP< Teuchos::TimeMonitor > | getTimer (std::string name, RCP< const Teuchos::Comm< int > > comm=Teuchos::null) const |
| get a (synced) timer | |
Private Attributes | |
| Teuchos::RCP< Hierarchy > | HierarchyCoarse11_ |
| Two hierarchies: one for the coarse (1,1)-block, another for the (2,2)-block. | |
| Teuchos::RCP< Hierarchy > | Hierarchy22_ |
| Teuchos::RCP< SmootherBase > | PreSmoother11_ |
| Teuchos::RCP< SmootherBase > | PostSmoother11_ |
| Teuchos::RCP< SmootherPrototype > | PreSmootherData11_ |
| Teuchos::RCP< SmootherPrototype > | PostSmootherData11_ |
| RCP< Operator > | thyraPrecOpH_ |
| RCP< Operator > | thyraPrecOp22_ |
| int | spaceNumber_ |
| The number of the space in the deRham complex. | |
| std::string | solverName_ |
| The name of the solver. | |
| size_t | dim_ |
| The spatial dimension. | |
| Teuchos::RCP< Matrix > | SM_Matrix_ |
| The system that is getting preconditioned. | |
| Teuchos::RCP< Matrix > | Dk_1_ |
| D_{k-1} matrix and its transpose. | |
| Teuchos::RCP< Matrix > | Dk_1_T_ |
| Teuchos::RCP< Matrix > | Dk_2_ |
| D_{k-2} matrix. | |
| Teuchos::RCP< Matrix > | D0_ |
| D_0 matrix. | |
| Teuchos::RCP< Matrix > | invMk_1_invBeta_ |
| inverse of mass matrices on (k-1)-th and (k-2)-th space with weights 1/beta and 1/alpha respectively | |
| Teuchos::RCP< Matrix > | invMk_2_invAlpha_ |
| Teuchos::RCP< Matrix > | Mk_one_ |
| mass matrices with unit weight on k-th and (k-1)-th spaces | |
| Teuchos::RCP< Matrix > | Mk_1_one_ |
| Teuchos::RCP< Matrix > | M1_beta_ |
| mass matrices on first space with weights beta and alpha respectively | |
| Teuchos::RCP< Matrix > | M1_alpha_ |
| Teuchos::RCP< MultiVector > | Material_beta_ |
| material for first space | |
| Teuchos::RCP< MultiVector > | Material_alpha_ |
| Teuchos::RCP< Matrix > | P11_ |
| special prolongator for 11 block and its transpose | |
| Teuchos::RCP< Matrix > | R11_ |
| Teuchos::RCP< Matrix > | P22_ |
| special prolongator for 22 block and its transpose | |
| Teuchos::RCP< Matrix > | R22_ |
| Teuchos::RCP< Matrix > | coarseA11_ |
| coarse 11, 22 and coarse 22 blocks | |
| Teuchos::RCP< Matrix > | A22_ |
| Teuchos::RCP< Matrix > | coarseA22_ |
| Teuchos::RCP< Matrix > | Addon11_ |
| the addon for the 11 block | |
| Teuchos::RCP< Matrix > | Addon22_ |
| the addon for the 22 block | |
| Teuchos::RCP< const Map > | DorigDomainMap_ |
| Teuchos::RCP< const Import > | DorigImporter_ |
| Kokkos::View< bool *, typename Node::device_type::memory_space > | BCrows11_ |
| Vectors for BCs. | |
| Kokkos::View< bool *, typename Node::device_type::memory_space > | BCcols22_ |
| Kokkos::View< bool *, typename Node::device_type::memory_space > | BCdomain22_ |
| int | globalNumberBoundaryUnknowns11_ |
| int | globalNumberBoundaryUnknowns22_ |
| Teuchos::RCP< MultiVector > | Nullspace11_ |
| Nullspace for (1.1) block. | |
| Teuchos::RCP< MultiVector > | Nullspace22_ |
| Teuchos::RCP< RealValuedMultiVector > | NodalCoords_ |
| Coordinates. | |
| Teuchos::RCP< RealValuedMultiVector > | CoordsCoarse11_ |
| Teuchos::RCP< RealValuedMultiVector > | Coords22_ |
| Teuchos::RCP< MultiVector > | NullspaceCoarse11_ |
| Nullspace for coarse (1,1) problem. | |
| Teuchos::RCP< MultiVector > | CoarseNullspace22_ |
| Nullspace for coarse (2,2) problem. | |
| Teuchos::RCP< const Import > | ImporterCoarse11_ |
| Importer to coarse (1,1) hierarchy. | |
| Teuchos::RCP< const Import > | Importer22_ |
| bool | Dk_1_T_R11_colMapsMatch_ |
| bool | asyncTransfers_ |
| bool | onlyBoundary11_ |
| bool | onlyBoundary22_ |
| Teuchos::ParameterList | parameterList_ |
| Parameter lists. | |
| Teuchos::ParameterList | precList11_ |
| Teuchos::ParameterList | precList22_ |
| Teuchos::RCP< Teuchos::ParameterList > | coarseA11_AP_reuse_data_ |
| Teuchos::RCP< Teuchos::ParameterList > | coarseA11_RAP_reuse_data_ |
| Teuchos::RCP< Teuchos::ParameterList > | A22_AP_reuse_data_ |
| Teuchos::RCP< Teuchos::ParameterList > | A22_RAP_reuse_data_ |
| bool | disable_addon_ |
| Some options. | |
| bool | disable_addon_22_ |
| bool | dump_matrices_ |
| bool | useKokkos_ |
| bool | use_as_preconditioner_ |
| bool | implicitTranspose_ |
| bool | fuseProlongationAndUpdate_ |
| bool | syncTimers_ |
| bool | enable_reuse_ |
| bool | skipFirst11Level_ |
| bool | skipFirst22Level_ |
| bool | applyBCsToAnodal_ |
| bool | applyBCsToCoarse11_ |
| bool | applyBCsTo22_ |
| int | numItersCoarse11_ |
| int | numIters22_ |
| std::string | mode_ |
| Teuchos::RCP< MultiVector > | P11res_ |
| Temporary memory. | |
| Teuchos::RCP< MultiVector > | P11x_ |
| Teuchos::RCP< MultiVector > | P11resSubComm_ |
| Teuchos::RCP< MultiVector > | P11xSubComm_ |
| Teuchos::RCP< MultiVector > | DresIntermediate_ |
| Teuchos::RCP< MultiVector > | Dres_ |
| Teuchos::RCP< MultiVector > | DxIntermediate_ |
| Teuchos::RCP< MultiVector > | Dx_ |
| Teuchos::RCP< MultiVector > | DresSubComm_ |
| Teuchos::RCP< MultiVector > | DxSubComm_ |
| Teuchos::RCP< MultiVector > | residual_ |
| Teuchos::RCP< MultiVector > | P11resTmp_ |
| Teuchos::RCP< MultiVector > | DresTmp_ |
| Teuchos::RCP< MultiVector > | DTR11Tmp_ |
| Teuchos::RCP< MultiVector > | P11x_colmap_ |
| Teuchos::RCP< MultiVector > | Dx_colmap_ |
Additional Inherited Members | |
| Static Public Member Functions inherited from MueLu::VerboseObject | |
| static void | SetDefaultVerbLevel (const VerbLevel defaultVerbLevel) |
| Set the default (global) verbosity level. | |
| static VerbLevel | GetDefaultVerbLevel () |
| Get the default (global) verbosity level. | |
| static void | SetMueLuOStream (const Teuchos::RCP< Teuchos::FancyOStream > &mueluOStream) |
| static void | SetMueLuOFileStream (const std::string &filename) |
| static Teuchos::RCP< Teuchos::FancyOStream > | GetMueLuOStream () |
Detailed Description
class MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >
Preconditioner (wrapped as a Xpetra::Operator) for Maxwell's equations in curl-curl form.
Let
M_k(gamma)
be the mass matrix with a weight coefficient gamma on the k-th space in the deRham complex
k=0 —> k=1 -—> k=2 -—> k=3
H(grad) —> H(curl) -—> H(div) -—> L^2
D_0 D_1 D_2
grad curl div
and let
D_k
be the discretized derivative from the k-th to the (k+1)-th space.
For example, in 3D, D_0 = grad, D_1 = curl and D_2 = div.
We want to solve the system
S e_k = b
where
S = M_k(alpha) + D_k^T * M_{k+1}(beta) * D_k.
In 3D and for k=1, S corresponds to a discretization of
alpha * identity + beta * curl curl.
In 3D and for k=2, S corresponds to
alpha * identity + beta * grad div.
We precondition S by constructing a block diagonal preconditioner for the equivalent 2x2 block system
e_k = a_k + D_{k-1}*p_{k-1}
( A11 M_k(alpha) * D_{k-1} ) ( a_k ) ( b ) ( } ( ) = ( ) ( D_{k-1}^T * M_k(alpha) A22 ) ( p_{k-1} ) ( D_{k-1}^T * b )
where
A11 = S + addon11 A22 = D_{k-1} ^T * S * D_{k-1} + addon22 addon11 = M_k(1) * D_{k-1} * M_{k-1}(1/beta)^-1 * D_{k-1}^T * M_k(1) addon22 = M_{k-1}(1) * D_{k-2} * M_{k-2}(1/alpha)^-1 * D_{k-2}^T * M_{k-1}(1)
We note that due to D_k * D_{k-1} = 0 we have that
A22 = D_{k-1} ^T * M_k(alpha) * D_{k-1} + addon22
The addon terms mimic the term that would be needed to augment to a Hodge Laplacian. In practice it seems that the addon terms are rarely strictly required. For k=1 (Maxwell) the addon22 term (in H(grad)) is always zero.
We cannot directly apply AMG to A11 and A22 in case they are not expressed in terms of nodal bases. Let Pi_k be the projection from the first order vectorial nodal finite element space into the k-th space. We will apply AMG to
Pi_k^T * A11 * Pi_k Pi_{k-1}^T * A22 * Pi_{k-1}
respectively. For k=1 A22 is already given in a nodal discretization and this step is omitted.
It can be beneficial to directly coarsen the projected diagonal blocks and skip any smoothing on them.
To obtain prolongators for the vectorial nodal problems, we construct the auxiliary operators
A11_nodal = D_{0}^T * M_1(beta) * D_{0} A22_nodal = D_{0}^T * M_1(alpha) * D_{0}
then construct typical nodal scalar HGrad prolongators.
We then replicate them into prolongators for vectorial H(grad) problem. Finally, we multiply from the left with the projection Pi_k onto the k-th FE space.
When k=1 this only needs to be done for the A11 block, as the A22 block is already given wrt a scalar nodal discretization.
The following input matrices need to be supplied by the user:
- S
- D_{k-1}
If addon11 is used we need:
- M_{k-1}(1/beta)^-1 - typically, this is the inverse of the lumped M_{k-1}(1/beta), not the actual inverse
- M_k(1)
If addon22 is used we need:
- M_{k-2}(1/alpha)^-1 - typically, this is the inverse of the lumped M_{k-2}(1/alpha), not the actual inverse
- M_{k-1}(1)
To construct the special prolongators we need
- D_{0}
- M_1(beta)
- M_1(alpha) If these mass matrices are not given, but M_1(1) is, then that matrix can be used instead. Alternatively, A11_nodal and A22_nodal can be passed directly.
We are using the following variable names:
| variable | matrix | note |-------------------------------—|--------------------—|-------------------— | SM | S | | Dk_1 | D_{k-1} | same as D0 for k=1 | Dk_2 | D_{k-2} | | D0 | D_0 | same as Dk_1 for k=1 | Mk_one | M_k(1) | | Mk_1_one | M_{k-1}(1) | | M1_beta | M_1(beta) | | M1_alpha | M_1(alpha) | | invMk_1_invBeta | M_{k-1}(1/beta)^{-1} | | invMk_2_invAlpha | M_{k-2}(1/alpha)^{-1} |
For backwards compatibility the interfaces also allow
| variable | matrix | note |
|---|---|---|
Ms | M_1(beta) | alias for M1_beta |
M1 | M_1(1) | alias for Mk_one when k=1 |
M0inv | M_0(1/beta) | alias for Mk_1_invBeta when k=1 |
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- astringspecifying the order of solve of the block system. Allowed values are: "additive" (default), "121", "212", "1", "2"refmaxwell: disable addon-boolspecifying whether the addon should be built for stabilization. Default: "true"refmaxwell: use as preconditioner-boolspecifying whether RefMaxwell is used as a preconditioner or as a solver.refmaxwell: dump matrices-boolspecifying whether the matrices should be dumped. Default: "false"refmaxwell: 11listandrefmaxwell: 22list- parameter list for the multigrid hierarchies on 11 and 22 blocksrefmaxwell: subsolves on subcommunicators-boolredistribute the two subsolves to disjoint sub-communicators (so that the additive solve can occur in parallel) Default: "false"
Definition at line 220 of file MueLu_RefMaxwell_decl.hpp.
Member Typedef Documentation
◆ magnitudeType
| using MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::magnitudeType = typename Teuchos::ScalarTraits<Scalar>::magnitudeType |
Definition at line 225 of file MueLu_RefMaxwell_decl.hpp.
◆ coordinateType
| using MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::coordinateType = typename Teuchos::ScalarTraits<Scalar>::coordinateType |
Definition at line 226 of file MueLu_RefMaxwell_decl.hpp.
◆ RealValuedMultiVector
| using MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RealValuedMultiVector = typename Xpetra::MultiVector<coordinateType, LO, GO, NO> |
Definition at line 227 of file MueLu_RefMaxwell_decl.hpp.
Constructor & Destructor Documentation
◆ RefMaxwell() [1/11]
|
inline |
Constructor.
Definition at line 230 of file MueLu_RefMaxwell_decl.hpp.
◆ RefMaxwell() [2/11]
|
inline |
Constructor with Hierarchies.
Definition at line 238 of file MueLu_RefMaxwell_decl.hpp.
◆ RefMaxwell() [3/11]
|
inline |
Definition at line 245 of file MueLu_RefMaxwell_decl.hpp.
◆ RefMaxwell() [4/11]
|
inline |
Definition at line 272 of file MueLu_RefMaxwell_decl.hpp.
◆ RefMaxwell() [5/11]
|
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] Nullspace11 Null space (needed for periodic) [in] NodalCoords Nodal coordinates [in] List Parameter list [in] ComputePrec If true, compute the preconditioner immediately
Definition at line 313 of file MueLu_RefMaxwell_decl.hpp.
◆ RefMaxwell() [6/11]
|
inline |
Definition at line 326 of file MueLu_RefMaxwell_decl.hpp.
◆ RefMaxwell() [7/11]
|
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 351 of file MueLu_RefMaxwell_decl.hpp.
◆ RefMaxwell() [8/11]
|
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 372 of file MueLu_RefMaxwell_decl.hpp.
◆ RefMaxwell() [9/11]
|
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 392 of file MueLu_RefMaxwell_decl.hpp.
◆ RefMaxwell() [10/11]
|
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 411 of file MueLu_RefMaxwell_decl.hpp.
◆ RefMaxwell() [11/11]
| MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::RefMaxwell | ( | const Teuchos::RCP< Matrix > & | SM_Matrix, |
| Teuchos::ParameterList & | List, | ||
| bool | ComputePrec = true |
||
| ) |
Constructor with parameter list
- Parameters
-
[in] SM_Matrix Jacobian [in] List Parameter list [in] ComputePrec If true, compute the preconditioner immediately
Definition at line 2520 of file MueLu_RefMaxwell_def.hpp.
◆ ~RefMaxwell()
|
virtualdefault |
Destructor.
Member Function Documentation
◆ getDomainMap()
| const 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 86 of file MueLu_RefMaxwell_def.hpp.
◆ getRangeMap()
| const 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 91 of file MueLu_RefMaxwell_def.hpp.
◆ getJacobian()
|
inline |
Returns Jacobian matrix SM.
Definition at line 440 of file MueLu_RefMaxwell_decl.hpp.
◆ setParameters()
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::setParameters | ( | Teuchos::ParameterList & | list | ) |
Set parameters.
Definition at line 199 of file MueLu_RefMaxwell_def.hpp.
◆ compute()
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::compute | ( | bool | reuse = false | ) |
Setup the preconditioner.
Definition at line 293 of file MueLu_RefMaxwell_def.hpp.
◆ resetMatrix()
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::resetMatrix | ( | Teuchos::RCP< Matrix > | SM_Matrix_new, |
| bool | ComputePrec = true |
||
| ) |
Reset system matrix.
Definition at line 2106 of file MueLu_RefMaxwell_def.hpp.
◆ apply()
| 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.
- Parameters
-
[in] X - MultiVector of dimension NumVectors to multiply with matrix. [out] Y - MultiVector of dimension NumVectors containing result.
Definition at line 2453 of file MueLu_RefMaxwell_def.hpp.
◆ hasTransposeApply()
| bool MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::hasTransposeApply | ( | ) | const |
Indicates whether this operator supports applying the adjoint operator.
Definition at line 2515 of file MueLu_RefMaxwell_def.hpp.
◆ describe()
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::describe | ( | Teuchos::FancyOStream & | out, |
| const Teuchos::EVerbosityLevel | verbLevel = Teuchos::VERB_HIGH |
||
| ) | const |
Definition at line 2836 of file MueLu_RefMaxwell_def.hpp.
◆ residual()
|
inline |
Compute a residual R = B - (*this) * X.
Definition at line 467 of file MueLu_RefMaxwell_decl.hpp.
◆ getValidParamterList()
|
private |
Definition at line 97 of file MueLu_RefMaxwell_def.hpp.
◆ initialize() [1/2]
|
private |
Initialize with matrices except the Jacobian (don't compute the preconditioner)
Note: This uses old notation that only makes sense for curl-curl problems.
- 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 2605 of file MueLu_RefMaxwell_def.hpp.
◆ initialize() [2/2]
|
private |
Initialize with matrices except the Jacobian (don't compute the preconditioner)
- Parameters
-
[in] k number of the space in the deRham sequence of the problem to be solved [in] Dk_1 Discrete derivative from (k-1)-th to k-th space [in] Dk_2 Discrete derivative from (k-2)-th to (k-1)-th space [in] D0 Discrete Gradient [in] M1_beta Mass matrix on 1-st space with weight beta for nodal aggregates [in] M1_alpha Mass matrix on 1-st space with weight alpha for nodal aggregates [in] Mk_one Mass matrix on k-th space with unit weight for addon11 [in] Mk_1_one Mass matrix on (k-1)-th space with unit weight for addon22 [in] invMk_1_invBeta Approximate inverse of mass matrix on (k-1)-th space with weight 1/beta (addon11 only) [in] invMk_2_invAlpha Approximate inverse of mass matrix on (k-2)-th space with weight 1/alpha (addon22 only) [in] Nullspace11 Null space (needed for periodic) [in] Nullspace22 Null space (needed for periodic) [in] NodalCoords Nodal coordinates [in] List Parameter list
Definition at line 2626 of file MueLu_RefMaxwell_def.hpp.
◆ determineSubHierarchyCommSizes()
|
private |
Determine how large the sub-communicators for the two hierarchies should be.
Definition at line 611 of file MueLu_RefMaxwell_def.hpp.
◆ buildCoarse11Matrix()
|
private |
Compute coarseA11 = P11^{T}*SM*P11 + addon efficiently.
Definition at line 793 of file MueLu_RefMaxwell_def.hpp.
◆ rebalanceCoarse11Matrix()
|
private |
rebalance the coarse A11 matrix, as well as P11, CoordsCoarse11 and Addon11
Definition at line 879 of file MueLu_RefMaxwell_def.hpp.
◆ build22Matrix()
|
private |
Setup A22 = D0^T SM D0 and rebalance it, as well as D0 and Coords_.
Definition at line 999 of file MueLu_RefMaxwell_def.hpp.
◆ buildNullspace()
| RCP< Xpetra::MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > > MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::buildNullspace | ( | const int | spaceNumber, |
| const Kokkos::View< bool *, typename Node::device_type > & | bcs, | ||
| const bool | applyBCs | ||
| ) |
Builds a nullspace.
Definition at line 1412 of file MueLu_RefMaxwell_def.hpp.
◆ buildProjection()
| Teuchos::RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > > MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::buildProjection | ( | const int | spaceNumber, |
| const RCP< MultiVector > & | EdgeNullspace | ||
| ) | const |
Builds a projection from a vector values space into a vector valued nodal space.
Definition at line 1577 of file MueLu_RefMaxwell_def.hpp.
◆ buildNodalProlongator()
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::buildNodalProlongator | ( | const Teuchos::RCP< Matrix > & | A_nodal, |
| Teuchos::RCP< Matrix > & | P_nodal, | ||
| Teuchos::RCP< MultiVector > & | Nullspace_nodal, | ||
| Teuchos::RCP< RealValuedMultiVector > & | Coords_nodal | ||
| ) | const |
Setup an auxiliary nodal prolongator
- Parameters
-
[in] A_nodal [out] P_nodal [out] Nullspace_nodal
Definition at line 1710 of file MueLu_RefMaxwell_def.hpp.
◆ buildVectorNodalProlongator()
| Teuchos::RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > > MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::buildVectorNodalProlongator | ( | const Teuchos::RCP< Matrix > & | P_nodal | ) | const |
Setup a vectorial nodal prolongator
- Parameters
-
[in] P_nodal_scalar [out] P_nodal_vector
Definition at line 1825 of file MueLu_RefMaxwell_def.hpp.
◆ buildProlongator()
| void MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::buildProlongator | ( | const int | spaceNumber, |
| const Teuchos::RCP< Matrix > & | A_nodal_Matrix, | ||
| const RCP< MultiVector > & | EdgeNullspace, | ||
| Teuchos::RCP< Matrix > & | edgeProlongator, | ||
| Teuchos::RCP< MultiVector > & | coarseEdgeNullspace, | ||
| Teuchos::RCP< RealValuedMultiVector > & | coarseNodalCoords | ||
| ) | const |
Setup a special prolongator from vectorial nodal to edge or face discretization
- Parameters
-
[in] spaceNumber the type of target discretization [in] A_nodal_Matrix used for the nodal aggregation [in] EdgeNullspace edge nullspace [out] edgeProlongator edge prolongator [out] coarseEdgeNullspace coarse edge nullspace [out] coarseNodalCoords coarse nodal coordinates
Definition at line 1890 of file MueLu_RefMaxwell_def.hpp.
◆ buildAddon()
| RCP< Xpetra::Matrix< Scalar, LocalOrdinal, GlobalOrdinal, Node > > MueLu::RefMaxwell< Scalar, LocalOrdinal, GlobalOrdinal, Node >::buildAddon | ( | const int | spaceNumber | ) |
Construct an addon matrix
- Parameters
-
[in] spaceNumber the type of target discretization
Definition at line 706 of file MueLu_RefMaxwell_def.hpp.
◆ setupSubSolve()
|
private |
Setup a subsolve.
Definition at line 2029 of file MueLu_RefMaxwell_def.hpp.
◆ setFineLevelSmoother11()
|
private |
Set the fine level smoother.
Definition at line 1191 of file MueLu_RefMaxwell_def.hpp.
◆ applyInverseAdditive()
|
private |
apply additive algorithm for 2x2 solve
Definition at line 2115 of file MueLu_RefMaxwell_def.hpp.
◆ solveH()
|
private |
apply solve to 1-1 block only
Definition at line 2388 of file MueLu_RefMaxwell_def.hpp.
◆ solve22()
|
private |
apply solve to 2-2 block only
Definition at line 2419 of file MueLu_RefMaxwell_def.hpp.
◆ allocateMemory()
|
private |
allocate multivectors for solve
Definition at line 1264 of file MueLu_RefMaxwell_def.hpp.
◆ dump() [1/4]
|
private |
dump out matrix
Definition at line 1340 of file MueLu_RefMaxwell_def.hpp.
◆ dump() [2/4]
|
private |
dump out multivector
Definition at line 1348 of file MueLu_RefMaxwell_def.hpp.
◆ dumpCoords()
|
private |
dump out real-valued multivector
Definition at line 1356 of file MueLu_RefMaxwell_def.hpp.
◆ dump() [3/4]
|
private |
dump out boolean ArrayView
Definition at line 1364 of file MueLu_RefMaxwell_def.hpp.
◆ dump() [4/4]
|
private |
dump out boolean Kokkos::View
Definition at line 1374 of file MueLu_RefMaxwell_def.hpp.
◆ getTimer()
|
private |
get a (synced) timer
Definition at line 1388 of file MueLu_RefMaxwell_def.hpp.
Member Data Documentation
◆ HierarchyCoarse11_
|
private |
Two hierarchies: one for the coarse (1,1)-block, another for the (2,2)-block.
Definition at line 639 of file MueLu_RefMaxwell_decl.hpp.
◆ Hierarchy22_
|
private |
Definition at line 639 of file MueLu_RefMaxwell_decl.hpp.
◆ PreSmoother11_
|
private |
Definition at line 640 of file MueLu_RefMaxwell_decl.hpp.
◆ PostSmoother11_
|
private |
Definition at line 640 of file MueLu_RefMaxwell_decl.hpp.
◆ PreSmootherData11_
|
private |
Definition at line 641 of file MueLu_RefMaxwell_decl.hpp.
◆ PostSmootherData11_
|
private |
Definition at line 641 of file MueLu_RefMaxwell_decl.hpp.
◆ thyraPrecOpH_
|
private |
Definition at line 642 of file MueLu_RefMaxwell_decl.hpp.
◆ thyraPrecOp22_
|
private |
Definition at line 642 of file MueLu_RefMaxwell_decl.hpp.
◆ spaceNumber_
|
private |
The number of the space in the deRham complex.
Definition at line 644 of file MueLu_RefMaxwell_decl.hpp.
◆ solverName_
|
private |
The name of the solver.
Definition at line 646 of file MueLu_RefMaxwell_decl.hpp.
◆ dim_
|
private |
The spatial dimension.
Definition at line 648 of file MueLu_RefMaxwell_decl.hpp.
◆ SM_Matrix_
|
private |
The system that is getting preconditioned.
Definition at line 650 of file MueLu_RefMaxwell_decl.hpp.
◆ Dk_1_
|
private |
D_{k-1} matrix and its transpose.
Definition at line 652 of file MueLu_RefMaxwell_decl.hpp.
◆ Dk_1_T_
|
private |
Definition at line 652 of file MueLu_RefMaxwell_decl.hpp.
◆ Dk_2_
|
private |
D_{k-2} matrix.
Definition at line 654 of file MueLu_RefMaxwell_decl.hpp.
◆ D0_
|
private |
D_0 matrix.
Definition at line 656 of file MueLu_RefMaxwell_decl.hpp.
◆ invMk_1_invBeta_
|
private |
inverse of mass matrices on (k-1)-th and (k-2)-th space with weights 1/beta and 1/alpha respectively
Definition at line 658 of file MueLu_RefMaxwell_decl.hpp.
◆ invMk_2_invAlpha_
|
private |
Definition at line 658 of file MueLu_RefMaxwell_decl.hpp.
◆ Mk_one_
|
private |
mass matrices with unit weight on k-th and (k-1)-th spaces
Definition at line 660 of file MueLu_RefMaxwell_decl.hpp.
◆ Mk_1_one_
|
private |
Definition at line 660 of file MueLu_RefMaxwell_decl.hpp.
◆ M1_beta_
|
private |
mass matrices on first space with weights beta and alpha respectively
Definition at line 662 of file MueLu_RefMaxwell_decl.hpp.
◆ M1_alpha_
|
private |
Definition at line 662 of file MueLu_RefMaxwell_decl.hpp.
◆ Material_beta_
|
private |
material for first space
Definition at line 664 of file MueLu_RefMaxwell_decl.hpp.
◆ Material_alpha_
|
private |
Definition at line 664 of file MueLu_RefMaxwell_decl.hpp.
◆ P11_
|
private |
special prolongator for 11 block and its transpose
Definition at line 666 of file MueLu_RefMaxwell_decl.hpp.
◆ R11_
|
private |
Definition at line 666 of file MueLu_RefMaxwell_decl.hpp.
◆ P22_
|
private |
special prolongator for 22 block and its transpose
Definition at line 668 of file MueLu_RefMaxwell_decl.hpp.
◆ R22_
|
private |
Definition at line 668 of file MueLu_RefMaxwell_decl.hpp.
◆ coarseA11_
|
private |
coarse 11, 22 and coarse 22 blocks
Definition at line 670 of file MueLu_RefMaxwell_decl.hpp.
◆ A22_
|
private |
Definition at line 670 of file MueLu_RefMaxwell_decl.hpp.
◆ coarseA22_
|
private |
Definition at line 670 of file MueLu_RefMaxwell_decl.hpp.
◆ Addon11_
|
private |
the addon for the 11 block
Definition at line 672 of file MueLu_RefMaxwell_decl.hpp.
◆ Addon22_
|
private |
the addon for the 22 block
Definition at line 674 of file MueLu_RefMaxwell_decl.hpp.
◆ DorigDomainMap_
|
private |
Definition at line 675 of file MueLu_RefMaxwell_decl.hpp.
◆ DorigImporter_
|
private |
Definition at line 676 of file MueLu_RefMaxwell_decl.hpp.
◆ BCrows11_
|
private |
Vectors for BCs.
Definition at line 678 of file MueLu_RefMaxwell_decl.hpp.
◆ BCcols22_
|
private |
Definition at line 678 of file MueLu_RefMaxwell_decl.hpp.
◆ BCdomain22_
|
private |
Definition at line 678 of file MueLu_RefMaxwell_decl.hpp.
◆ globalNumberBoundaryUnknowns11_
|
private |
Definition at line 679 of file MueLu_RefMaxwell_decl.hpp.
◆ globalNumberBoundaryUnknowns22_
|
private |
Definition at line 679 of file MueLu_RefMaxwell_decl.hpp.
◆ Nullspace11_
|
private |
Nullspace for (1.1) block.
Definition at line 681 of file MueLu_RefMaxwell_decl.hpp.
◆ Nullspace22_
|
private |
Definition at line 681 of file MueLu_RefMaxwell_decl.hpp.
◆ NodalCoords_
|
private |
Coordinates.
Definition at line 683 of file MueLu_RefMaxwell_decl.hpp.
◆ CoordsCoarse11_
|
private |
Definition at line 683 of file MueLu_RefMaxwell_decl.hpp.
◆ Coords22_
|
private |
Definition at line 683 of file MueLu_RefMaxwell_decl.hpp.
◆ NullspaceCoarse11_
|
private |
Nullspace for coarse (1,1) problem.
Definition at line 685 of file MueLu_RefMaxwell_decl.hpp.
◆ CoarseNullspace22_
|
private |
Nullspace for coarse (2,2) problem.
Definition at line 687 of file MueLu_RefMaxwell_decl.hpp.
◆ ImporterCoarse11_
|
private |
Importer to coarse (1,1) hierarchy.
Definition at line 689 of file MueLu_RefMaxwell_decl.hpp.
◆ Importer22_
|
private |
Definition at line 689 of file MueLu_RefMaxwell_decl.hpp.
◆ Dk_1_T_R11_colMapsMatch_
|
private |
Definition at line 690 of file MueLu_RefMaxwell_decl.hpp.
◆ asyncTransfers_
|
private |
Definition at line 690 of file MueLu_RefMaxwell_decl.hpp.
◆ onlyBoundary11_
|
private |
Definition at line 691 of file MueLu_RefMaxwell_decl.hpp.
◆ onlyBoundary22_
|
private |
Definition at line 691 of file MueLu_RefMaxwell_decl.hpp.
◆ parameterList_
|
private |
Parameter lists.
Definition at line 693 of file MueLu_RefMaxwell_decl.hpp.
◆ precList11_
|
private |
Definition at line 693 of file MueLu_RefMaxwell_decl.hpp.
◆ precList22_
|
private |
Definition at line 693 of file MueLu_RefMaxwell_decl.hpp.
◆ coarseA11_AP_reuse_data_
|
private |
Definition at line 694 of file MueLu_RefMaxwell_decl.hpp.
◆ coarseA11_RAP_reuse_data_
|
private |
Definition at line 694 of file MueLu_RefMaxwell_decl.hpp.
◆ A22_AP_reuse_data_
|
private |
Definition at line 695 of file MueLu_RefMaxwell_decl.hpp.
◆ A22_RAP_reuse_data_
|
private |
Definition at line 695 of file MueLu_RefMaxwell_decl.hpp.
◆ disable_addon_
|
private |
Some options.
Definition at line 697 of file MueLu_RefMaxwell_decl.hpp.
◆ disable_addon_22_
|
private |
Definition at line 697 of file MueLu_RefMaxwell_decl.hpp.
◆ dump_matrices_
|
private |
Definition at line 697 of file MueLu_RefMaxwell_decl.hpp.
◆ useKokkos_
|
private |
Definition at line 697 of file MueLu_RefMaxwell_decl.hpp.
◆ use_as_preconditioner_
|
private |
Definition at line 697 of file MueLu_RefMaxwell_decl.hpp.
◆ implicitTranspose_
|
private |
Definition at line 697 of file MueLu_RefMaxwell_decl.hpp.
◆ fuseProlongationAndUpdate_
|
private |
Definition at line 697 of file MueLu_RefMaxwell_decl.hpp.
◆ syncTimers_
|
private |
Definition at line 697 of file MueLu_RefMaxwell_decl.hpp.
◆ enable_reuse_
|
private |
Definition at line 697 of file MueLu_RefMaxwell_decl.hpp.
◆ skipFirst11Level_
|
private |
Definition at line 697 of file MueLu_RefMaxwell_decl.hpp.
◆ skipFirst22Level_
|
private |
Definition at line 697 of file MueLu_RefMaxwell_decl.hpp.
◆ applyBCsToAnodal_
|
private |
Definition at line 698 of file MueLu_RefMaxwell_decl.hpp.
◆ applyBCsToCoarse11_
|
private |
Definition at line 698 of file MueLu_RefMaxwell_decl.hpp.
◆ applyBCsTo22_
|
private |
Definition at line 698 of file MueLu_RefMaxwell_decl.hpp.
◆ numItersCoarse11_
|
private |
Definition at line 699 of file MueLu_RefMaxwell_decl.hpp.
◆ numIters22_
|
private |
Definition at line 699 of file MueLu_RefMaxwell_decl.hpp.
◆ mode_
|
private |
Definition at line 700 of file MueLu_RefMaxwell_decl.hpp.
◆ P11res_
|
mutableprivate |
Temporary memory.
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ P11x_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ P11resSubComm_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ P11xSubComm_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ DresIntermediate_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ Dres_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ DxIntermediate_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ Dx_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ DresSubComm_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ DxSubComm_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ residual_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ P11resTmp_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ DresTmp_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ DTR11Tmp_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ P11x_colmap_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
◆ Dx_colmap_
|
private |
Definition at line 703 of file MueLu_RefMaxwell_decl.hpp.
The documentation for this class was generated from the following files:
