PCASM

Use the (restricted) additive Schwarz method, each block is (approximately) solved with its own KSP object, [DW87] and [SBjorstadG96]

Options Database Keys

• -pc_asm_blocks - Sets total blocks. Defaults to one block per MPI process.

• -pc_asm_overlap - Sets overlap

• -pc_asm_type [basic,restrict,interpolate,none] - Sets PCASMType, default is restrict. See PCASMSetType()

• -pc_asm_dm_subdomains - use subdomains defined by the DM with DMCreateDomainDecomposition()

• -pc_asm_local_type [additive, multiplicative] - Sets PCCompositeType, default is additive. See PCASMSetLocalType()

Notes

If you run with, for example, 3 blocks on 1 processor or 3 blocks on 3 processors you will get a different convergence rate due to the default option of -pc_asm_type restrict. Use -pc_asm_type basic to get the same convergence behavior

Each processor can have one or more blocks, but a block cannot be shared by more than one processor. Use PCGASM for subdomains shared by multiple processes.

To set options on the solvers for each block append -sub_ to all the KSP, and PC options database keys. For example, -sub_pc_type ilu -sub_pc_factor_levels 1 -sub_ksp_type preonly

To set the options on the solvers separate for each block call PCASMGetSubKSP() and set the options directly on the resulting KSP object (you can access its PC with KSPGetPC())

If the PC has an associated DM, then, by default, DMCreateDomainDecomposition() is used to create the subdomains

References

[DW87]

Maksymilian Dryja and Olof Widlund. An additive variant of the Schwarz alternating method for the case of many subregions. Ultracomputer Research Laboratory, Univ., Courant Inst. of Mathematical …, 1987.

[SBjorstadG96]

Barry F. Smith, Petter Bjørstad, and William D. Gropp. Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations. Cambridge University Press, 1996. URL: http://www.mcs.anl.gov/~bsmith/ddbook.html.

See Also

KSP: Linear System Solvers, PCCreate(), PCSetType(), PCType, PC, PCASMType, PCCompositeType, PCBJACOBI, PCASMGetSubKSP(), PCASMSetLocalSubdomains(), PCASMType, PCASMGetType(), PCASMSetLocalType(), PCASMGetLocalType() PCASMSetTotalSubdomains(), PCSetModifySubMatrices(), PCASMSetOverlap(), PCASMSetType(), PCCompositeType

Level

beginner

Location

src/ksp/pc/impls/asm/asm.c

Examples

src/ksp/ksp/tutorials/ex76.c
src/ksp/ksp/tutorials/ex19.c
src/ksp/ksp/tutorials/ex8.c

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Index of all PC routines
Table of Contents for all manual pages
Index of all manual pages