[petsc-dev] external preconditioner availablilty for PETSc

[Jed Brown]

>From a research perspective, it doesn't make sense to view these
preconditioners as black boxes.  Your problem will likely have an
elliptic component (which you might approach using a multilevel method
such as PCGAMG, PCML, PCHYPRE, or PCBDDC, all of which can accept some
problem-specific input information as well as tunable parameters)
combined (perhaps using PCFIELDSPLIT) with a transport solver (perhaps
one-level domain decomposition).  The details of the splits will take
some thought and you'll want to compare to monolithic (unsplit) 1-level
domain decomposition methods with suitably chosen subdomains and/or
geometric multigrid.  One way to start would be to do a literature
search and try to reproduce the results from some methods in the
literature.  After that, you'll have a baseline for comparison and
probably get some ideas about composition.

"Park, Heeho via petsc-dev" <petsc-dev at mcs.anl.gov> writes:

> Hi PETSc developers,
>
> I’m writing my proposal for my dissertation research at UIUC that will study on effectiveness of preconditioners for anisothermal, multiphase porous media flow calculations in parallel using PFLOTRAN. I know the link below lists preconditioners but from your experience, which preconditioning packages provide reliable and efficient PILUT, AMG, SA-AMG preconditioners for PETSc and do you have other preconditioner recommendations?
> I used hypre PILUT, but the performance and the linear iteration count to solve a matrix is worse than ILU(0) which is not what I expected.
>
> https://www.mcs.anl.gov/petsc/documentation/linearsolvertable.html
>
> Heeho Daniel Park
>
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