petsc-3.12.4 2020-02-04
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# PCGAMG

Geometric algebraic multigrid (AMG) preconditioner

### Options Database Keys

| -pc_gamg_type <type> | - one of agg, geo, or classical
| -pc_gamg_repartition <true,default=false> | - repartition the degrees of freedom accross the coarse grids as they are determined
| -pc_gamg_reuse_interpolation <true,default=false> | - when rebuilding the algebraic multigrid preconditioner reuse the previously computed interpolations
| -pc_gamg_asm_use_agg <true,default=false> | - use the aggregates from the coasening process to defined the subdomains on each level for the PCASM smoother
| -pc_gamg_process_eq_limit <limit, default=50> | - GAMG will reduce the number of MPI processes used directly on the coarse grids so that there are around <limit> equations on each process that has degrees of freedom
| -pc_gamg_coarse_eq_limit <limit, default=50> | - Set maximum number of equations on coarsest grid to aim for.
| -pc_gamg_threshold[] <thresh,default=0> | - Before aggregating the graph GAMG will remove small values from the graph on each level
| -pc_gamg_threshold_scale <scale,default=1> | - Scaling of threshold on each coarser grid if not specified

### Options Database Keys for default Aggregation

| -pc_gamg_agg_nsmooths <nsmooth, default=1> | - number of smoothing steps to use with smooth aggregation
| -pc_gamg_sym_graph <true,default=false> | - symmetrize the graph before computing the aggregation
| -pc_gamg_square_graph <n,default=1> | - number of levels to square the graph before aggregating it

### Multigrid options

| -pc_mg_cycles <v> | - v or w, see PCMGSetCycleType()
| -pc_mg_distinct_smoothup | - configure the up and down (pre and post) smoothers separately, see PCMGSetDistinctSmoothUp()
| -pc_mg_type <multiplicative> | - (one of) additive multiplicative full kascade
| -pc_mg_levels <levels> | - Number of levels of multigrid to use.

### Notes

In order to obtain good performance for PCGAMG for vector valued problems you must Call MatSetBlockSize() to indicate the number of degrees of freedom per grid point Call MatSetNearNullSpace() (or PCSetCoordinates() if solving the equations of elasticity) to indicate the near null space of the operator See the Users Manual Chapter 4 for more details

### See Also

PCCreate(), PCSetType(), MatSetBlockSize(), PCMGType, PCSetCoordinates(), MatSetNearNullSpace(), PCGAMGSetType(), PCGAMGAGG, PCGAMGGEO, PCGAMGCLASSICAL, PCGAMGSetProcEqLim(),
PCGAMGSetCoarseEqLim(), PCGAMGSetRepartition(), PCGAMGRegister(), PCGAMGSetReuseInterpolation(), PCGAMGASMSetUseAggs(), PCGAMGSetUseParallelCoarseGridSolve(), PCGAMGSetNlevels(), PCGAMGSetThreshold(), PCGAMGGetType(), PCGAMGSetReuseInterpolation()

### Level

intermediate

### Location

src/ksp/pc/impls/gamg/gamg.c

### Examples

src/ksp/ksp/examples/tutorials/ex4.c.html
Index of all PC routines
Table of Contents for all manual pages
Index of all manual pages