petsc4py.PETSc.PC#

class petsc4py.PETSc.PC#

Bases: Object

Preconditioners.

PC is described in the PETSc manual. Calling the PC with a vector as an argument will apply the preconditioner as shown in the example below.

Examples

>>> from petsc4py import PETSc
>>> v = PETSc.Vec().createWithArray([1, 2])
>>> m = PETSc.Mat().createDense(2, array=[[1, 0], [0, 1]])
>>> pc = PETSc.PC().create()
>>> pc.setOperators(m)
>>> u = pc(v) # u is created internally
>>> pc.apply(v, u) # u can also be passed as second argument

See also

PC

Enumerations

`ASMType`	The ASM subtype.
`CompositeType`	The composite type.
`DeflationSpaceType`	The deflation space subtype.
`FailedReason`	The reason the preconditioner has failed.
`FieldSplitSchurFactType`	The field split Schur factorization type.
`FieldSplitSchurPreType`	The field split Schur subtype.
`GAMGType`	The GAMG subtype.
`GASMType`	The GASM subtype.
`HPDDMCoarseCorrectionType`	The HPDDM coarse correction type.
`MGCycleType`	The MG cycle type.
`MGType`	The MG subtype.
`PatchConstructType`	The patch construction type.
`Side`	The manner in which the preconditioner is applied.
`Type`	The preconditioner method.

Methods Summary

`addCompositePCType`(pc_type)	Add a `PC` of the given type to the composite `PC`.
`appendOptionsPrefix`(prefix)	Append to the prefix used for all the `PC` options.
`apply`(x, y)	Apply the `PC` to a vector.
`applySymmetricLeft`(x, y)	Apply the left part of a symmetric `PC` to a vector.
`applySymmetricRight`(x, y)	Apply the right part of a symmetric `PC` to a vector.
`applyTranspose`(x, y)	Apply the transpose of the `PC` to a vector.
`create`([comm])	Create an empty `PC`.
`createPython`([context, comm])	Create a preconditioner of Python type.
`destroy`()	Destroy the `PC` that was created with `create`.
`getASMSubKSP`()	Return the local `KSP` object for all blocks on this process.
`getCompositePC`(n)	Return a component of the composite `PC`.
`getDM`()	Return the `DM` associated with the `PC`.
`getDeflationCoarseKSP`()	Return the coarse problem `KSP`.
`getDeflationPC`()	Return the additional preconditioner.
`getFactorMatrix`()	Return the factored matrix.
`getFactorSolverType`()	Return the solver package used to perform the factorization.
`getFailedReason`()	Return the reason the `PC` terminated.
`getFailedReasonRank`()	Return the reason the `PC` terminated on this rank.
`getFieldSplitSchurGetSubKSP`()	Return the `KSP` for the Schur complement based splits.
`getFieldSplitSubKSP`()	Return the `KSP` for all splits.
`getHPDDMCoarseCorrectionType`()	Return the coarse correction type.
`getHPDDMSTShareSubKSP`()	Return true if the `KSP` in SLEPc `ST` and the subdomain solver is shared.
`getHYPREType`()	Return the `Type.HYPRE` type.
`getKSP`()	Return the `KSP` if the `PC` is `Type.KSP`.
`getMGCoarseSolve`()	Return the `KSP` used on the coarse grid.
`getMGInterpolation`(level)	Return the interpolation operator for the given level.
`getMGLevels`()	Return the number of `MG` levels.
`getMGRScale`(level)	Return the pointwise scaling for the restriction operator on the given level.
`getMGRestriction`(level)	Return the restriction operator for the given level.
`getMGSmoother`(level)	Return the `KSP` to be used as a smoother.
`getMGSmootherDown`(level)	Return the `KSP` to be used as a smoother before coarse grid correction.
`getMGSmootherUp`(level)	Return the `KSP` to be used as a smoother after coarse grid correction.
`getMGType`()	Return the form of multigrid.
`getOperators`()	Return the matrices associated with a linear system.
`getOptionsPrefix`()	Return the prefix used for all the `PC` options.
`getPythonContext`()	Return the instance of the class implementing the required Python methods.
`getPythonType`()	Return the fully qualified Python name of the class used by the preconditioner.
`getType`()	Return the preconditioner type.
`getUseAmat`()	Return the flag to indicate if `PC` is applied to `A` or `P`.
`matApply`(x, y)	Apply the `PC` to many vectors stored as `Mat.Type.DENSE`.
`reset`()	Reset the `PC`, removing any allocated vectors and matrices.
`setASMLocalSubdomains`(nsd[, is_sub, is_local])	Set the local subdomains.
`setASMOverlap`(overlap)	Set the overlap between a pair of subdomains.
`setASMSortIndices`(dosort)	Set to sort subdomain indices.
`setASMTotalSubdomains`(nsd[, is_sub, is_local])	Set the subdomains for all processes.
`setASMType`(asmtype)	Set the type of restriction and interpolation.
`setBDDCChangeOfBasisMat`(T[, interior])	Set a user defined change of basis for degrees of freedom.
`setBDDCCoarseningRatio`(cratio)	Set the coarsening ratio used in the multilevel version.
`setBDDCDirichletBoundaries`(bndr)	Set the `IS` defining Dirichlet boundaries for the global problem.
`setBDDCDirichletBoundariesLocal`(bndr)	Set the `IS` defining Dirichlet boundaries in local ordering.
`setBDDCDiscreteGradient`(G[, order, field, ...])	Set the discrete gradient.
`setBDDCDivergenceMat`(div[, trans, l2l])	Set the linear operator representing ∫ div(u)•p dx.
`setBDDCDofsSplitting`(isfields)	Set the index set(s) defining fields of the global matrix.
`setBDDCDofsSplittingLocal`(isfields)	Set the index set(s) defining fields of the local subdomain matrix.
`setBDDCLevels`(levels)	Set the maximum number of additional levels allowed.
`setBDDCLocalAdjacency`(csr)	Provide a custom connectivity graph for local dofs.
`setBDDCNeumannBoundaries`(bndr)	Set the `IS` defining Neumann boundaries for the global problem.
`setBDDCNeumannBoundariesLocal`(bndr)	Set the `IS` defining Neumann boundaries in local ordering.
`setBDDCPrimalVerticesIS`(primv)	Set additional user defined primal vertices.
`setBDDCPrimalVerticesLocalIS`(primv)	Set additional user defined primal vertices.
`setCompositeType`(ctype)	Set the type of composite preconditioner.
`setCoordinates`(coordinates)	Set the coordinates for the nodes on the local process.
`setDM`(dm)	Set the `DM` that may be used by some preconditioners.
`setDeflationCoarseMat`(mat)	Set the coarse problem matrix.
`setDeflationCorrectionFactor`(fact)	Set the coarse problem correction factor.
`setDeflationInitOnly`(flg)	Set to only perform the initialization.
`setDeflationLevels`(levels)	Set the maximum level of deflation nesting.
`setDeflationProjectionNullSpaceMat`(mat)	Set the projection null space matrix.
`setDeflationReductionFactor`(red)	Set the reduction factor for the preconditioner.
`setDeflationSpace`(W, transpose)	Set the deflation space matrix or its (Hermitian) transpose.
`setDeflationSpaceToCompute`(space_type, size)	Set the deflation space type.
`setFactorLevels`(levels)	Set the number of levels of fill.
`setFactorOrdering`([ord_type, nzdiag, reuse])	Set options for the matrix factorization reordering.
`setFactorPivot`([zeropivot, inblocks])	Set options for matrix factorization pivoting.
`setFactorSetUpSolverType`()	Set up the factorization solver.
`setFactorShift`([shift_type, amount])	Set options for shifting diagonal entries of a matrix.
`setFactorSolverType`(solver)	Set the solver package used to perform the factorization.
`setFailedReason`(reason)	Set the reason the `PC` terminated.
`setFieldSplitFields`(bsize, *fields)	Sets the elements for the field split.
`setFieldSplitIS`(*fields)	Set the elements for the field split by `IS`.
`setFieldSplitSchurFactType`(ctype)	Set the type of approximate block factorization.
`setFieldSplitSchurPreType`(ptype[, pre])	Set from what operator the `PC` is constructed.
`setFieldSplitType`(ctype)	Set the type of composition of a field split preconditioner.
`setFromOptions`()	Set various `PC` parameters from user options.
`setGAMGLevels`(levels)	Set the maximum number of levels.
`setGAMGSmooths`(smooths)	Set the number of smoothing steps used on all levels.
`setGAMGType`(gamgtype)	Set the type of algorithm.
`setGASMOverlap`(overlap)	Set the overlap between a pair of subdomains.
`setGASMType`(gasmtype)	Set the type of restriction and interpolation.
`setHPDDMAuxiliaryMat`(uis, uaux)	Set the auxiliary matrix used by the preconditioner.
`setHPDDMCoarseCorrectionType`(correction_type)	Set the coarse correction type.
`setHPDDMDeflationMat`(uis, U)	Set the deflation space used to assemble a coarse operator.
`setHPDDMHasNeumannMat`(has)	Set to indicate that the `Mat` passed to the `PC` is the local Neumann matrix.
`setHPDDMRHSMat`(B)	Set the right-hand side matrix of the preconditioner.
`setHYPREAMSSetInteriorNodes`(interior)	Set the list of interior nodes to a zero conductivity region.
`setHYPREDiscreteCurl`(mat)	Set the discrete curl matrix.
`setHYPREDiscreteGradient`(mat)	Set the discrete gradient matrix.
`setHYPRESetAlphaPoissonMatrix`(mat)	Set the vector Poisson matrix.
`setHYPRESetBetaPoissonMatrix`([mat])	Set the Posson matrix.
`setHYPRESetEdgeConstantVectors`(ozz, zoz[, zzo])	Set the representation of the constant vector fields in the edge element basis.
`setHYPRESetInterpolations`(dim[, RT_Pi_Full, ...])	Set the interpolation matrices.
`setHYPREType`(hypretype)	Set the `Type.HYPRE` type.
`setMGCycleType`(cycle_type)	Set the type of cycles.
`setMGCycleTypeOnLevel`(level, cycle_type)	Set the type of cycle on the given level.
`setMGInterpolation`(level, mat)	Set the interpolation operator for the given level.
`setMGLevels`(levels)	Set the number of `MG` levels.
`setMGR`(level, r)	Set the vector where the residual is stored.
`setMGRScale`(level, rscale)	Set the pointwise scaling for the restriction operator on the given level.
`setMGRestriction`(level, mat)	Set the restriction operator for the given level.
`setMGRhs`(level, rhs)	Set the vector where the right-hand side is stored.
`setMGType`(mgtype)	Set the form of multigrid.
`setMGX`(level, x)	Set the vector where the solution is stored.
`setOperators`([A, P])	Set the matrices associated with the linear system.
`setOptionsPrefix`(prefix)	Set the prefix used for all the `PC` options.
`setPatchCellNumbering`(sec)	Set the cell numbering.
`setPatchComputeFunction`(function[, args, kargs])	Set compute operator callbacks.
`setPatchComputeFunctionInteriorFacets`(function)	Set compute operator callbacks.
`setPatchComputeOperator`(operator[, args, kargs])	Set compute operator callbacks.
`setPatchComputeOperatorInteriorFacets`(operator)	Set compute operator callbacks.
`setPatchConstructType`(typ[, operator, args, ...])	Set compute operator callbacks.
`setPatchDiscretisationInfo`(dms, bs, ...)	Set discretisation info.
`setPythonContext`(context)	Set the instance of the class implementing the required Python methods.
`setPythonType`(py_type)	Set the fully qualified Python name of the class to be used.
`setReusePreconditioner`(flag)	Set to indicate the preconditioner is to be reused.
`setSPAIBlockSize`(n)	Set the block size of the preconditioner.
`setSPAICacheSize`(size)	Set the cache size.
`setSPAIEpsilon`(val)	Set the tolerance for the preconditioner.
`setSPAIMax`(maxval)	Set the size of working buffers in the preconditioner.
`setSPAIMaxNew`(maxval)	Set the maximum number of new non-zero candidates per step.
`setSPAINBSteps`(nbsteps)	Set the maximum number of improvement steps per row.
`setSPAISp`(sym)	Set to specify a symmetric sparsity pattern.
`setSPAIVerbose`(level)	Set the verbosity level.
`setType`(pc_type)	Set the preconditioner type.
`setUp`()	Set up the internal data structures for the `PC`.
`setUpOnBlocks`()	Set up the `PC` for each block.
`setUseAmat`(flag)	Set to indicate to apply `PC` to `A` and not `P`.
`view`([viewer])	View the `PC` object.

Methods Documentation

addCompositePCType(pc_type)#

Add a PC of the given type to the composite PC.

Collective.

Parameters:: pc_type (Type | str) – The type of the preconditioner to add.
Return type:: None

See also

PCCompositeAddPCType

Source code at petsc4py/PETSc/PC.pyx:1661

appendOptionsPrefix(prefix)#

Append to the prefix used for all the PC options.

Logically collective.

Parameters:: prefix (str | None) – The prefix to append to the current prefix.
Return type:: None

Source code at petsc4py/PETSc/PC.pyx:355

apply(x, y)#

Apply the PC to a vector.

Collective.

Parameters:

x (Vec) – The input vector.
y (Vec) – The output vector, cannot be the same as x.

Return type:

None

See also

PCApply

Source code at petsc4py/PETSc/PC.pyx:593

applySymmetricLeft(x, y)#

Apply the left part of a symmetric PC to a vector.

Collective.

Parameters:

x (Vec) – The input vector.
y (Vec) – The output vector, cannot be the same as x.

Return type:

None

See also

PCApplySymmetricLeft

Source code at petsc4py/PETSc/PC.pyx:653

applySymmetricRight(x, y)#

Apply the right part of a symmetric PC to a vector.

Collective.

Parameters:

x (Vec) – The input vector.
y (Vec) – The output vector, cannot be the same as x.

Return type:

None

See also

PCApplySymmetricRight

Source code at petsc4py/PETSc/PC.pyx:672

applyTranspose(x, y)#

Apply the transpose of the PC to a vector.

Collective.

For complex numbers this applies the non-Hermitian transpose.

Parameters:

x (Vec) – The input vector.
y (Vec) – The output vector, cannot be the same as x.

Return type:

None

See also

PCApply

Source code at petsc4py/PETSc/PC.pyx:631

create(comm=None)#

Create an empty PC.

Collective.

The default preconditioner for sparse matrices is ILU or ICC with 0 fill on one process and block Jacobi (BJACOBI) with ILU or ICC in parallel. For dense matrices it is always None.

Parameters:: comm (Comm | None) – MPI communicator, defaults to Sys.getDefaultComm.
Return type:: Self

See also

destroy, PCCreate

Source code at petsc4py/PETSc/PC.pyx:264

createPython(context=None, comm=None)#

Create a preconditioner of Python type.

Collective.

Parameters:

context (Any) – An instance of the Python class implementing the required methods.
comm (Comm | None) – MPI communicator, defaults to Sys.getDefaultComm.

Return type:

Self

Source code at petsc4py/PETSc/PC.pyx:754

destroy()#

Destroy the PC that was created with create.

Collective.

See also

PCDestroy

Source code at petsc4py/PETSc/PC.pyx:250

Return type:: Self

getASMSubKSP()#

Return the local KSP object for all blocks on this process.

Not collective.

See also

PCASMGetSubKSP

Source code at petsc4py/PETSc/PC.pyx:958

Return type:: list[KSP]

getCompositePC(n)#

Return a component of the composite PC.

Not collective.

Parameters:: n (int) – The index of the PC in the composition.
Return type:: None

See also

PCCompositeGetPC

Source code at petsc4py/PETSc/PC.pyx:1640

getDM()#

Return the DM associated with the PC.

Not collective.

See also

PCGetDM

Source code at petsc4py/PETSc/PC.pyx:693

Return type:: DM

getDeflationCoarseKSP()#

Return the coarse problem KSP.

Not collective.

See also

PCDeflationGetCoarseKSP

Source code at petsc4py/PETSc/PC.pyx:2881

Return type:: KSP

getDeflationPC()#

Return the additional preconditioner.

Not collective.

See also

PCDeflationGetPC

Source code at petsc4py/PETSc/PC.pyx:2896

Return type:: PC

getFactorMatrix()#

Return the factored matrix.

Not collective.

See also

PCFactorGetMatrix

Source code at petsc4py/PETSc/PC.pyx:1446

Return type:: Mat

getFactorSolverType()#

Return the solver package used to perform the factorization.

Not collective.

See also

PCFactorGetMatSolverType

Source code at petsc4py/PETSc/PC.pyx:1302

Return type:: str

getFailedReason()#

Return the reason the PC terminated.

Logically collective.

This is the maximum reason over all ranks in the PC communicator.

See also

PCGetFailedReason

Source code at petsc4py/PETSc/PC.pyx:520

Return type:: FailedReason

getFailedReasonRank()#

Return the reason the PC terminated on this rank.

Not collective.

Different ranks may have different reasons.

Source code at petsc4py/PETSc/PC.pyx:537

Return type:: FailedReason

getFieldSplitSchurGetSubKSP()#

Return the KSP for the Schur complement based splits.

Not collective.

Source code at petsc4py/PETSc/PC.pyx:1557

Return type:: list[KSP]

getFieldSplitSubKSP()#

Return the KSP for all splits.

Not collective.

See also

PCFieldSplitGetSubKSP

Source code at petsc4py/PETSc/PC.pyx:1537

Return type:: list[KSP]

getHPDDMCoarseCorrectionType()#

Return the coarse correction type.

Not collective.

See also

PCHPDDMGetCoarseCorrectionType

Source code at petsc4py/PETSc/PC.pyx:2533

Return type:: HPDDMCoarseCorrectionType

getHPDDMSTShareSubKSP()#

Return true if the KSP in SLEPc ST and the subdomain solver is shared.

Not collective.

See also

PCHPDDMGetSTShareSubKSP

Source code at petsc4py/PETSc/PC.pyx:2547

Return type:: bool

getHYPREType()#

Return the Type.HYPRE type.

Not collective.

See also

PCHYPREGetType

Source code at petsc4py/PETSc/PC.pyx:1088

Return type:: str

getKSP()#

Return the KSP if the PC is Type.KSP.

Not collective.

See also

PCKSPGetKSP

Source code at petsc4py/PETSc/PC.pyx:1682

Return type:: KSP

getMGCoarseSolve()#

Return the KSP used on the coarse grid.

Not collective.

See also

PCMGGetCoarseSolve

Source code at petsc4py/PETSc/PC.pyx:1758

Return type:: KSP

getMGInterpolation(level)#

Return the interpolation operator for the given level.

Logically collective.

Parameters:: level (int) – The level where interpolation is defined from level-1 to level.
Return type:: Mat

See also

PCMGGetInterpolation

Source code at petsc4py/PETSc/PC.pyx:1793

getMGLevels()#

Return the number of MG levels.

Not collective.

See also

PCMGGetLevels

Source code at petsc4py/PETSc/PC.pyx:1726

Return type:: int

getMGRScale(level)#

Return the pointwise scaling for the restriction operator on the given level.

Logically collective.

Parameters:: level (int) – The level where restriction is defined from level to level-1.
Return type:: Vec

See also

PCMGGetRScale

Source code at petsc4py/PETSc/PC.pyx:1875

getMGRestriction(level)#

Return the restriction operator for the given level.

Logically collective.

Parameters:: level (int) – The level where restriction is defined from level to level-1.
Return type:: Mat

See also

PCMGGetRestriction

Source code at petsc4py/PETSc/PC.pyx:1834

getMGSmoother(level)#

Return the KSP to be used as a smoother.

Not collective.

Parameters:: level (int) – The level of the smoother.
Return type:: KSP

Source code at petsc4py/PETSc/PC.pyx:1896

getMGSmootherDown(level)#

Return the KSP to be used as a smoother before coarse grid correction.

Not collective.

Parameters:: level (int) – The level of the smoother.
Return type:: KSP

Source code at petsc4py/PETSc/PC.pyx:1917

getMGSmootherUp(level)#

Return the KSP to be used as a smoother after coarse grid correction.

Not collective.

Parameters:: level (int) – The level of the smoother.
Return type:: KSP

Source code at petsc4py/PETSc/PC.pyx:1938

getMGType()#

Return the form of multigrid.

Logically collective.

See also

PCMGGetType

Source code at petsc4py/PETSc/PC.pyx:1699

Return type:: MGType

getOperators()#

Return the matrices associated with a linear system.

Not collective.

See also

setOperators, PCGetOperators

Source code at petsc4py/PETSc/PC.pyx:416

Return type:: tuple[Mat, Mat]

getOptionsPrefix()#

Return the prefix used for all the PC options.

Not collective.

Source code at petsc4py/PETSc/PC.pyx:341

Return type:: str

getPythonContext()#

Return the instance of the class implementing the required Python methods.

Not collective.

Source code at petsc4py/PETSc/PC.pyx:791

Return type:: Any

getPythonType()#

Return the fully qualified Python name of the class used by the preconditioner.

Not collective.

Source code at petsc4py/PETSc/PC.pyx:820

Return type:: str

getType()#

Return the preconditioner type.

Not collective.

See also

setType, PCGetType

Source code at petsc4py/PETSc/PC.pyx:308

Return type:: str

getUseAmat()#

Return the flag to indicate if PC is applied to A or P.

Logically collective.

Returns:: flag – True if A is used and False if P.
Return type:: bool

See also

setUseAmat, PCGetUseAmat

Source code at petsc4py/PETSc/PC.pyx:458

matApply(x, y)#

Apply the PC to many vectors stored as Mat.Type.DENSE.

Collective.

Parameters:

x (Mat) – The input matrix.
y (Mat) – The output matrix, cannot be the same as x.

Return type:

None

See also

PCMatApply, PCApply

Source code at petsc4py/PETSc/PC.pyx:612

reset()#

Reset the PC, removing any allocated vectors and matrices.

Collective.

See also

PCReset

Source code at petsc4py/PETSc/PC.pyx:565

Return type:: None

setASMLocalSubdomains(nsd, is_sub=None, is_local=None)#

Set the local subdomains.

Collective.

Parameters:

nsd (int) – The number of subdomains for this process.
is_sub (Sequence[IS] | None) – Defines the subdomains for this process or None to determine internally.
is_local (Sequence[IS] | None) – Defines the local part of the subdomains for this process, only used for PC.ASMType.RESTRICT.

Return type:

None

Source code at petsc4py/PETSc/PC.pyx:872

setASMOverlap(overlap)#

Set the overlap between a pair of subdomains.

Logically collective.

Parameters:: overlap (int) – The amount of overlap between subdomains.
Return type:: None

See also

PCASMSetOverlap

Source code at petsc4py/PETSc/PC.pyx:854

setASMSortIndices(dosort)#

Set to sort subdomain indices.

Logically collective.

Parameters:: dosort (bool) – Set to True to sort indices
Return type:: None

See also

PCASMSetSortIndices

Source code at petsc4py/PETSc/PC.pyx:973

setASMTotalSubdomains(nsd, is_sub=None, is_local=None)#

Set the subdomains for all processes.

Collective.

Parameters:

nsd (int) – The number of subdomains for all processes.
is_sub (Sequence[IS] | None) – Defines the subdomains for all processes or None to determine internally.
is_local (Sequence[IS] | None) – Defines the local part of the subdomains for this process, only used for PC.ASMType.RESTRICT.

Return type:

None

Source code at petsc4py/PETSc/PC.pyx:915

setASMType(asmtype)#

Set the type of restriction and interpolation.

Logically collective.

Parameters:: asmtype (ASMType) – The type of ASM you wish to use.
Return type:: None

See also

PCASMSetType

Source code at petsc4py/PETSc/PC.pyx:836

setBDDCChangeOfBasisMat(T, interior=False)#

Set a user defined change of basis for degrees of freedom.

Collective.

Parameters:

T (Mat) – The matrix representing the change of basis.
interior (bool) – Enable to indicate the change of basis affects interior degrees of freedom.

Return type:

None

See also

PCBDDCSetChangeOfBasisMat

Source code at petsc4py/PETSc/PC.pyx:2161

setBDDCCoarseningRatio(cratio)#

Set the coarsening ratio used in the multilevel version.

Logically collective.

Parameters:: cratio (int) – The coarsening ratio at the coarse level
Return type:: None

See also

PCBDDCSetCoarseningRatio

Source code at petsc4py/PETSc/PC.pyx:2216

setBDDCDirichletBoundaries(bndr)#

Set the IS defining Dirichlet boundaries for the global problem.

Collective.

Parameters:: bndr (IS) – The parallel IS defining Dirichlet boundaries.
Return type:: None

See also

PCBDDCSetDirichletBoundaries

Source code at petsc4py/PETSc/PC.pyx:2252

setBDDCDirichletBoundariesLocal(bndr)#

Set the IS defining Dirichlet boundaries in local ordering.

Collective.

Parameters:: bndr (IS) – The parallel IS defining Dirichlet boundaries in local ordering.
Return type:: None

Source code at petsc4py/PETSc/PC.pyx:2269

setBDDCDiscreteGradient(G, order=1, field=1, gord=True, conforming=True)#

Set the discrete gradient.

Collective.

Parameters:

G (Mat) – The discrete gradient matrix in Mat.Type.AIJ format.
order (int) – The order of the Nedelec space.
field (int) – The field number of the Nedelec degrees of freedom. This is not used if no fields have been specified.
gord (bool) – Enable to use global ordering in the rows of G.
conforming (bool) – Enable if the mesh is conforming.

Return type:

None

See also

PCBDDCSetDiscreteGradient

Source code at petsc4py/PETSc/PC.pyx:2125

setBDDCDivergenceMat(div, trans=False, l2l=None)#

Set the linear operator representing ∫ div(u)•p dx.

Collective.

Parameters:

div (Mat) – The matrix in Mat.Type.IS format.
trans (bool) – If True, the pressure/velocity is in the trial/test space respectively. If False the pressure/velocity is in the test/trial space.
l2l (IS | None) – Optional IS describing the local to local map for velocities.

Return type:

None

See also

PCBDDCSetDivergenceMat

Source code at petsc4py/PETSc/PC.pyx:2099

setBDDCDofsSplitting(isfields)#

Set the index set(s) defining fields of the global matrix.

Collective.

Parameters:: isfields (IS | Sequence[IS]) – The sequence of IS describing the fields in global ordering.
Return type:: None

See also

PCBDDCSetDofsSplitting

Source code at petsc4py/PETSc/PC.pyx:2320

setBDDCDofsSplittingLocal(isfields)#

Set the index set(s) defining fields of the local subdomain matrix.

Collective.

Not all nodes need to be listed. Unlisted nodes will belong to the complement field.

Parameters:: isfields (IS | Sequence[IS]) – The sequence of IS describing the fields in local ordering.
Return type:: None

See also

PCBDDCSetDofsSplittingLocal

Source code at petsc4py/PETSc/PC.pyx:2342

setBDDCLevels(levels)#

Set the maximum number of additional levels allowed.

Logically collective.

Parameters:: levels (int) – The maximum number of levels.
Return type:: None

See also

PCBDDCSetLevels

Source code at petsc4py/PETSc/PC.pyx:2234

setBDDCLocalAdjacency(csr)#

Provide a custom connectivity graph for local dofs.

Not collective.

Parameters:: csr (CSRIndicesSpec) – Compressed sparse row layout information.
Return type:: None

See also

PCBDDCSetLocalAdjacencyGraph

Source code at petsc4py/PETSc/PC.pyx:2069

setBDDCNeumannBoundaries(bndr)#

Set the IS defining Neumann boundaries for the global problem.

Collective.

Parameters:: bndr (IS) – The parallel IS defining Neumann boundaries.
Return type:: None

See also

PCBDDCSetNeumannBoundaries

Source code at petsc4py/PETSc/PC.pyx:2286

setBDDCNeumannBoundariesLocal(bndr)#

Set the IS defining Neumann boundaries in local ordering.

Collective.

Parameters:: bndr (IS) – The parallel IS defining Neumann boundaries in local ordering.
Return type:: None

Source code at petsc4py/PETSc/PC.pyx:2303

setBDDCPrimalVerticesIS(primv)#

Set additional user defined primal vertices.

Collective.

Parameters:: primv (IS) – The IS of primal vertices in global numbering.
Return type:: None

See also

PCBDDCSetPrimalVerticesIS

Source code at petsc4py/PETSc/PC.pyx:2182

setBDDCPrimalVerticesLocalIS(primv)#

Set additional user defined primal vertices.

Collective.

Parameters:: primv (IS) – The IS of primal vertices in local numbering.
Return type:: None

See also

PCBDDCSetPrimalVerticesLocalIS

Source code at petsc4py/PETSc/PC.pyx:2199

setCompositeType(ctype)#

Set the type of composite preconditioner.

Logically collective.

Parameters:: ctype (CompositeType) – The type of composition.
Return type:: None

See also

PCCompositeSetType

Source code at petsc4py/PETSc/PC.pyx:1622

setCoordinates(coordinates)#

Set the coordinates for the nodes on the local process.

Collective.

Parameters:: coordinates (Sequence[Sequence[float]]) – The two dimensional coordinate array.
Return type:: None

See also

PCSetCoordinates

Source code at petsc4py/PETSc/PC.pyx:727

setDM(dm)#

Set the DM that may be used by some preconditioners.

Logically collective.

Parameters:: dm (DM) – The DM object.
Return type:: None

See also

PCSetDM

Source code at petsc4py/PETSc/PC.pyx:710

setDeflationCoarseMat(mat)#

Set the coarse problem matrix.

Collective.

Parameters:: mat (Mat) – The coarse problem matrix.
Return type:: None

See also

PCDeflationSetCoarseMat

Source code at petsc4py/PETSc/PC.pyx:2864

setDeflationCorrectionFactor(fact)#

Set the coarse problem correction factor.

Logically collective.

Parameters:: fact (float) – The correction factor.
Return type:: None

See also

PCDeflationSetCorrectionFactor

Source code at petsc4py/PETSc/PC.pyx:2787

setDeflationInitOnly(flg)#

Set to only perform the initialization.

Logically collective.

Sets initial guess to the solution on the deflation space but does not apply the deflation preconditioner. The additional preconditioner is still applied.

Parameters:: flg (bool) – Enable to only initialize the preconditioner.
Return type:: None

See also

PCDeflationSetInitOnly

Source code at petsc4py/PETSc/PC.pyx:2729

setDeflationLevels(levels)#

Set the maximum level of deflation nesting.

Logically collective.

Parameters:: levels (int) – The maximum deflation level.
Return type:: None

See also

PCDeflationSetLevels

Source code at petsc4py/PETSc/PC.pyx:2751

setDeflationProjectionNullSpaceMat(mat)#

Set the projection null space matrix.

Collective.

Parameters:: mat (Mat) – The projection null space matrix.
Return type:: None

See also

PCDeflationSetProjectionNullSpaceMat

Source code at petsc4py/PETSc/PC.pyx:2847

setDeflationReductionFactor(red)#

Set the reduction factor for the preconditioner.

Logically collective.

Parameters:: red (int) – The reduction factor or DEFAULT.
Return type:: None

See also

PCDeflationSetReductionFactor

Source code at petsc4py/PETSc/PC.pyx:2769

setDeflationSpace(W, transpose)#

Set the deflation space matrix or its (Hermitian) transpose.

Logically collective.

Parameters:

W (Mat) – The deflation matrix.
transpose (bool) – Enable to indicate that W is an explicit transpose of the deflation matrix.

Return type:

None

See also

PCDeflationSetSpace

Source code at petsc4py/PETSc/PC.pyx:2826

setDeflationSpaceToCompute(space_type, size)#

Set the deflation space type.

Logically collective.

Parameters:

space_type (DeflationSpaceType) – The deflation space type.
size (int) – The size of the space to compute

Return type:

None

See also

PCDeflationSetSpaceToCompute

Source code at petsc4py/PETSc/PC.pyx:2805

setFactorLevels(levels)#

Set the number of levels of fill.

Logically collective.

Parameters:: levels (int) – The number of levels to fill.
Return type:: None

See also

PCFactorSetLevels

Source code at petsc4py/PETSc/PC.pyx:1428

setFactorOrdering(ord_type=None, nzdiag=None, reuse=None)#

Set options for the matrix factorization reordering.

Logically collective.

Parameters:

ord_type (str | None) – The name of the matrix ordering or None to leave unchanged.
nzdiag (float | None) – Threshold to consider diagonal entries in the matrix as zero.
reuse (bool | None) – Enable to reuse the ordering of a factored matrix.

Return type:

None

Source code at petsc4py/PETSc/PC.pyx:1332

setFactorPivot(zeropivot=None, inblocks=None)#

Set options for matrix factorization pivoting.

Logically collective.

Parameters:

zeropivot (float | None) – The size at which smaller pivots are treated as zero.
inblocks (bool | None) – Enable to allow pivoting while factoring in blocks.

Return type:

None

Source code at petsc4py/PETSc/PC.pyx:1369

setFactorSetUpSolverType()#

Set up the factorization solver.

Collective.

This can be called after KSP.setOperators or PC.setOperators, causes MatGetFactor to be called so then one may set the options for that particular factorization object.

Source code at petsc4py/PETSc/PC.pyx:1316

Return type:: None

setFactorShift(shift_type=None, amount=None)#

Set options for shifting diagonal entries of a matrix.

Logically collective.

Parameters:

shift_type (FactorShiftType | None) – The type of shift, or None to leave unchanged.
amount (float | None) – The amount of shift. Specify DEFAULT to determine internally or None to leave unchanged.

Return type:

None

Source code at petsc4py/PETSc/PC.pyx:1398

setFactorSolverType(solver)#

Set the solver package used to perform the factorization.

Logically collective.

Parameters:: solver (SolverType | str) – The solver package used to factorize.
Return type:: None

See also

PCFactorSetMatSolverType

Source code at petsc4py/PETSc/PC.pyx:1283

setFailedReason(reason)#

Set the reason the PC terminated.

Logically collective.

Parameters:: reason (FailedReason | str) – the reason the PC terminated
Return type:: None

See also

PCSetFailedReason

Source code at petsc4py/PETSc/PC.pyx:502

setFieldSplitFields(bsize, *fields)#

Sets the elements for the field split.

Collective.

Parameters:

bsize (int) – The block size
fields (Tuple[str, Sequence[int]]) – A sequence of tuples containing the split name and a sequence of integers that define the elements in the split.

Return type:

None

Source code at petsc4py/PETSc/PC.pyx:1507

setFieldSplitIS(*fields)#

Set the elements for the field split by IS.

Logically collective.

Solve options for this split will be available under the prefix -fieldsplit_SPLITNAME_*.

Parameters:: fields (Tuple[str, IS]) – A sequence of tuples containing the split name and the IS that defines the elements in the split.
Return type:: None

Source code at petsc4py/PETSc/PC.pyx:1481

setFieldSplitSchurFactType(ctype)#

Set the type of approximate block factorization.

Collective.

Parameters:: ctype (FieldSplitSchurFactType) – The type indicating which blocks to retain.
Return type:: None

See also

PCFieldSplitSetSchurFactType

Source code at petsc4py/PETSc/PC.pyx:1577

setFieldSplitSchurPreType(ptype, pre=None)#

Set from what operator the PC is constructed.

Collective.

Parameters:

ptype (FieldSplitSchurPreType) – The type of matrix to use for preconditioning the Schur complement.
pre (Mat | None) – The optional matrix to use for preconditioning.

Return type:

None

See also

PCFieldSplitSetSchurPre

Source code at petsc4py/PETSc/PC.pyx:1595

setFieldSplitType(ctype)#

Set the type of composition of a field split preconditioner.

Collective.

Parameters:: ctype (CompositeType) – The type of composition.
Return type:: None

See also

PCFieldSplitSetType

Source code at petsc4py/PETSc/PC.pyx:1463

setFromOptions()#

Set various PC parameters from user options.

Collective.

Source code at petsc4py/PETSc/PC.pyx:374

Return type:: None

setGAMGLevels(levels)#

Set the maximum number of levels.

Not collective.

Parameters:: levels (int) – The maximum number of levels to use.
Return type:: None

See also

PCGAMGSetNlevels

Source code at petsc4py/PETSc/PC.pyx:1050

setGAMGSmooths(smooths)#

Set the number of smoothing steps used on all levels.

Logically collective.

Parameters:: smooths (int) – The maximum number of smooths.
Return type:: None

See also

PCGAMGSetNSmooths

Source code at petsc4py/PETSc/PC.pyx:1068

setGAMGType(gamgtype)#

Set the type of algorithm.

Collective.

Parameters:: gamgtype (GAMGType | str) – The type of GAMG
Return type:: None

See also

PCGAMGSetType

Source code at petsc4py/PETSc/PC.pyx:1031

setGASMOverlap(overlap)#

Set the overlap between a pair of subdomains.

Logically collective.

Parameters:: overlap (int) – The amount of overlap between subdomains.
Return type:: None

See also

PCGASMSetOverlap

Source code at petsc4py/PETSc/PC.pyx:1011

setGASMType(gasmtype)#

Set the type of restriction and interpolation.

Logically collective.

Parameters:: gasmtype (GASMType) – The type of GASM.
Return type:: None

See also

PCGASMSetType

Source code at petsc4py/PETSc/PC.pyx:993

setHPDDMAuxiliaryMat(uis, uaux)#

Set the auxiliary matrix used by the preconditioner.

Logically collective.

Parameters:

uis (IS) – The IS of the local auxiliary matrix
uaux (Mat) – The auxiliary sequential matrix

Return type:

None

See also

PCHPDDMSetAuxiliaryMat

Source code at petsc4py/PETSc/PC.pyx:2461

setHPDDMCoarseCorrectionType(correction_type)#

Set the coarse correction type.

Collective.

Parameters:: correction_type (HPDDMCoarseCorrectionType) – The type of coarse correction to apply.
Return type:: None

See also

PCHPDDMSetCoarseCorrectionType

Source code at petsc4py/PETSc/PC.pyx:2515

setHPDDMDeflationMat(uis, U)#

Set the deflation space used to assemble a coarse operator.

Logically collective.

Parameters:

uis (IS) – The IS of the local deflation matrix.
U (Mat) – The deflation sequential matrix of type Mat.Type.DENSE.

Return type:

None

See also

PCHPDDMSetDeflationMat

Source code at petsc4py/PETSc/PC.pyx:2561

setHPDDMHasNeumannMat(has)#

Set to indicate that the Mat passed to the PC is the local Neumann matrix.

Logically collective.

Parameters:: has (bool) – Enable to indicate the matrix is the local Neumann matrix.
Return type:: None

See also

PCHPDDMHasNeumannMat

Source code at petsc4py/PETSc/PC.pyx:2497

setHPDDMRHSMat(B)#

Set the right-hand side matrix of the preconditioner.

Logically collective.

Parameters:: B (Mat) – The right-hand side sequential matrix.
Return type:: None

See also

PCHPDDMSetRHSMat

Source code at petsc4py/PETSc/PC.pyx:2480

setHYPREAMSSetInteriorNodes(interior)#

Set the list of interior nodes to a zero conductivity region.

Collective.

Parameters:: interior (Vec) – A vector where a value of 1.0 indicates an interior node.
Return type:: None

See also

PCHYPREAMSSetInteriorNodes

Source code at petsc4py/PETSc/PC.pyx:1264

setHYPREDiscreteCurl(mat)#

Set the discrete curl matrix.

Collective.

Parameters:: mat (Mat) – The discrete curl.
Return type:: None

See also

PCHYPRESetDiscreteCurl

Source code at petsc4py/PETSc/PC.pyx:1122

setHYPREDiscreteGradient(mat)#

Set the discrete gradient matrix.

Collective.

Parameters:: mat (Mat) – The discrete gradient.
Return type:: None

See also

PCHYPRESetDiscreteGradient

Source code at petsc4py/PETSc/PC.pyx:1139

setHYPRESetAlphaPoissonMatrix(mat)#

Set the vector Poisson matrix.

Collective.

Parameters:: mat (Mat) – The vector Poisson matrix.
Return type:: None

See also

PCHYPRESetAlphaPoissonMatrix

Source code at petsc4py/PETSc/PC.pyx:1156

setHYPRESetBetaPoissonMatrix(mat=None)#

Set the Posson matrix.

Collective.

Parameters:: mat (Mat | None) – The Poisson matrix or None to turn off.
Return type:: None

See also

PCHYPRESetBetaPoissonMatrix

Source code at petsc4py/PETSc/PC.pyx:1173

setHYPRESetEdgeConstantVectors(ozz, zoz, zzo=None)#

Set the representation of the constant vector fields in the edge element basis.

Collective.

Parameters:

ozz (Vec) – A vector representing [1, 0, 0] or [1, 0] in 2D.
zoz (Vec) – A vector representing [0, 1, 0] or [0, 1] in 2D.
zzo (Vec | None) – A vector representing [0, 0, 1] or None in 2D.

Return type:

None

See also

PCHYPRESetEdgeConstantVectors

Source code at petsc4py/PETSc/PC.pyx:1240

setHYPRESetInterpolations(dim, RT_Pi_Full=None, RT_Pi=None, ND_Pi_Full=None, ND_Pi=None)#

Set the interpolation matrices.

Collective.

Parameters:

dim (int) – The dimension of the problem.
RT_Pi_Full (Mat | None) – The Raviart-Thomas interpolation matrix or None to omit.
RT_Pi – The xyz components of the Raviart-Thomas interpolation matrix, or None to omit.
ND_Pi_Full (Mat | None) – The Nedelec interpolation matrix or None to omit.
ND_Pi – The xyz components of the Nedelec interpolation matrix, or None to omit.

Return type:

None

See also

PCHYPRESetInterpolations

Source code at petsc4py/PETSc/PC.pyx:1192

setHYPREType(hypretype)#

Set the Type.HYPRE type.

Collective.

Parameters:: hypretype (str) – The name of the type, one of "euclid", "pilut", "parasails", "boomeramg", "ams", "ads"
Return type:: None

See also

PCHYPRESetType

Source code at petsc4py/PETSc/PC.pyx:1102

setMGCycleType(cycle_type)#

Set the type of cycles.

Logically collective.

Parameters:: cycle_type (MGCycleType) – The type of multigrid cycles to use.
Return type:: None

Source code at petsc4py/PETSc/PC.pyx:1959

setMGCycleTypeOnLevel(level, cycle_type)#

Set the type of cycle on the given level.

Logically collective.

Parameters:

level (int) – The level on which to set the cycle type.
cycle_type (MGCycleType) – The type of multigrid cycles to use.

Return type:

None

Source code at petsc4py/PETSc/PC.pyx:1977

setMGInterpolation(level, mat)#

Set the interpolation operator for the given level.

Logically collective.

Parameters:

level – The level where interpolation is defined from level-1 to level.
mat (Mat) – The interpolation operator

Return type:

None

See also

PCMGSetInterpolation

Source code at petsc4py/PETSc/PC.pyx:1773

setMGLevels(levels)#

Set the number of MG levels.

Logically collective.

Parameters:: levels (int) – The number of levels
Return type:: None

See also

PCMGSetLevels

Source code at petsc4py/PETSc/PC.pyx:1740

setMGR(level, r)#

Set the vector where the residual is stored.

Logically collective.

If not provided, one will be set internally. Will be cleaned up in destroy.

Parameters:

level (int) – The level on which to set the residual.
r (Vec) – The vector where the residual is stored.

Return type:

None

See also

PCMGSetR

Source code at petsc4py/PETSc/PC.pyx:2044

setMGRScale(level, rscale)#

Set the pointwise scaling for the restriction operator on the given level.

Logically collective.

Parameters:

level (int) – The level where restriction is defined from level to level-1.
rscale (Vec) – The scaling vector.

Return type:

None

See also

PCMGSetRScale

Source code at petsc4py/PETSc/PC.pyx:1855

setMGRestriction(level, mat)#

Set the restriction operator for the given level.

Logically collective.

Parameters:

level (int) – The level where restriction is defined from level to level-1.
mat (Mat) – The restriction operator

Return type:

None

See also

PCMGSetRestriction

Source code at petsc4py/PETSc/PC.pyx:1814

setMGRhs(level, rhs)#

Set the vector where the right-hand side is stored.

Logically collective.

If not provided, one will be set internally. Will be cleaned up in destroy.

Parameters:

level (int) – The level on which to set the right-hand side.
rhs (Vec) – The vector where the right-hand side is stored.

Return type:

None

See also

PCMGSetRhs

Source code at petsc4py/PETSc/PC.pyx:1998

setMGType(mgtype)#

Set the form of multigrid.

Logically collective.

See also

PCMGSetType

Source code at petsc4py/PETSc/PC.pyx:1713

Parameters:: mgtype (MGType)
Return type:: None

setMGX(level, x)#

Set the vector where the solution is stored.

Logically collective.

If not provided, one will be set internally. Will be cleaned up in destroy.

Parameters:

level (int) – The level on which to set the solution.
x (Vec) – The vector where the solution is stored.

Return type:

None

See also

PCMGSetX

Source code at petsc4py/PETSc/PC.pyx:2021

setOperators(A=None, P=None)#

Set the matrices associated with the linear system.

Logically collective.

Passing None for A or P removes the matrix that is currently used. PETSc does not reset the matrix entries of either A or P to zero after a linear solve; the user is completely responsible for matrix assembly. See Mat.zeroEntries to zero all elements of a matrix.

Parameters:

A (Mat | None) – the matrix which defines the linear system
P (Mat | None) – the matrix to be used in constructing the preconditioner, usually the same as A

Return type:

None

See also

PCSetOperators

Source code at petsc4py/PETSc/PC.pyx:386

setOptionsPrefix(prefix)#

Set the prefix used for all the PC options.

Logically collective.

Parameters:: prefix (str | None) – The prefix to prepend to all option names.
Return type:: None

Source code at petsc4py/PETSc/PC.pyx:322

setPatchCellNumbering(sec)#

Set the cell numbering.

Source code at petsc4py/PETSc/PC.pyx:2368

Parameters:: sec (Section)
Return type:: None

setPatchComputeFunction(function, args=None, kargs=None)#