[petsc-users] choosing a preconditioner

[Jed Brown]

On Sat, 20 Feb 2010 07:26:56 -0800, Matthew Knepley <knepley at gmail.com> wrote:
> recognizing strong vs. weak coupling

As a starting point with (references to) a bunch of examples, I'd
recommend Knoll & Keyes JFNK review

  http://www.cs.odu.edu/~keyes/papers/jfnk.pdf

and whichever "stiff wave" papers are relevant to your subject area.
Indefinite problems have a lot in common with stiff wave problems, but
can require even more special sauce.  A fairly comprehensive reference
is Benzi, Golub, and Liesen's 2005 Acta Numerica review "Numerical
solution of saddle point problems", for incompressible flow
specifically, see Elman et al's 2008 "A taxonomy and comparison of
parallel block multi-level preconditioners for the incompressible
Navier-Stokes equations".

Jed