Uzawa is an iterative method on the the Schur complement matrix, You can do preconditioned Uzawa which needs a preconditioner for the Schur compliment. And I was referring the Woodbury page.
FYI: the yellow SIAM book on mixed FE methods by Brezi and Fortin has an excellent 2 page section on Uzawa that give, among other things, a precise recipe for Uzawa (page 99 I think) including preconditioning and a non-zero RHS for the constraint part. On Nov 4, 2011, at 9:45 PM, Jed Brown wrote: > On Fri, Nov 4, 2011 at 13:55, Mark F. Adams <mark.adams at columbia.edu> > wrote: > The two actually look very similar. The community that I learned Uzawa from > is very familiar with Sherman-Morrison. Uzawa might in fact be an iterative > S-M ... the wikapedia page does not explain how to recover the solution Y and > does not accommodate a non-zero RHS for the constraint equations. Both of > which you'd want to do to be general. > > Well, the Schur complement is in the other direction. Are you talking about > the Uzawa or Sherman-Morrison page? It's easy enough either way. -------------- next part -------------- An HTML attachment was scrubbed... URL: <http://lists.mcs.anl.gov/pipermail/petsc-dev/attachments/20111105/06f8518e/attachment.html>
