[petsc-users] AMG linear solver with PETSc

Mark Adams mfadams at lbl.gov
Mon Jul 9 10:27:24 CDT 2018

On Mon, Jul 9, 2018 at 10:37 AM Dingwen Tao <dingwen.tao at ieee.org> wrote:

> All,
> We have some questions related to Algebraic Multigrid (AMG) method with
> PETSc for solving large-scale systems of linear equations. Anyone with
> experience can help?
> Questions:
> (1) We know that PETSc can be used with HYPRE AMG preconditioner for
> solving large-scale linear systems, while HYPRE also has an independent
> multigrid linear solver as well. Anyone knows which one is more
> frequently used in today's HPC applications? Or both of them are very
> commonly used?

I'm not sure what you mean either but PETSc has an interface to
Hypre/BoomerAMG which is an AMG solver that is used by a lot of

PETSc has a native AMG solver GAMG. You should start with either one and
try both.

> (2) Anyone can give us a real HPC application example that uses PETSc with
> HYPRE AMG preconditioner or HYPRE multigrid linear solver? We are looking
> for a real HPC application as our research's motivation.

As I said there are lots. Here are two that use PETSc AMG, including hypre
and gamg: https://hbps.pppl.gov/computing/xgc-1 and

> Many thanks in advance!
> Best regards,
> Dingwen
> --
> Dingwen Tao
> Assistant Professor
> The University of Alabama
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