[petsc-dev] [EXTERNAL] Re: external preconditioner availablilty for PETSc

Hammond, Glenn E gehammo at sandia.gov
Wed Mar 6 00:21:57 CST 2019


For the proposal, Heeho wants to demonstrate that a (well?) tuned black box preconditioner does not perform well (e.g. ILU[k], ILU[dt]).  Ultimately, he plans to build on work by Qang Bui (currently a post-doc at  LLNL), which is aligned with what you propose below, e.g.

Bui, Quan & Wang, Lu & Osei-Kuffuor, Daniel. (2018). Algebraic Multigrid Preconditioners for Two-phase Flow in Porous Media with Phase Transitions. Advances in Water Resources. 114. 10.1016/j.advwatres.2018.01.027.
Bui, Quan & C. Elman, Howard & Moulton, J. (2016). Algebraic Multigrid Preconditioners for Multiphase Flow in Porous Media. SIAM Journal on Scientific Computing. 39. 10.1137/16M1082652.

So, at this point, Heeho is looking for the best out-of-the-box preconditioners to demonstrate their poor performance.  Or perhaps he should just employ PETSc's ILU[k] and move on.... 


> -----Original Message-----
> From: Jed Brown <jed at jedbrown.org>
> Sent: Tuesday, March 5, 2019 9:06 PM
> To: Park, Heeho <heepark at sandia.gov>; petsc-dev at mcs.anl.gov
> Cc: Park, Heeho Daniel <hdpark2 at illinois.edu>; Hammond, Glenn E
> <gehammo at sandia.gov>
> Subject: [EXTERNAL] Re: [petsc-dev] external preconditioner availablilty for
> 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
> >
> > ! ------------------------------------ !
> > Sandia National Laboratories
> > Org: 08844, R&D
> > Work: 505-844-1319
> > ! ------------------------------------ !

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