2010/10/2 Gong Ding <[email protected]>:
Dear all, I had take a look with the manual of petsc.It has refered schur complement. However, I can not find more useful information.
A couple useful references, there are others depending on your application. @article{benzi2005nss, title={{Numerical solution of saddle point problems}}, author={Benzi, M. and Golub, G.H. and Liesen, J.}, journal={Acta Numerica}, volume={14}, pages={1--137}, year={2005}, publisher={Cambridge Univ Press} } @article{elman2008tcp, title={{A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations}}, author={Elman, H.C. and Howle, V.E. and Shadid, J. and Shuttleworth, R. and Tuminaro, R.}, journal={Journal of Computational Physics}, volume={227}, number={1}, pages={1790--1808}, year={2008}, publisher={Academic Press} } Many of these methods are easy to implement using PCFieldSplit, when you find one that is likely to work well for your application, ask and we can suggest a good way to implement it. Jed