[petsc-users] does petsc support schur complement

[Patrick Sunter]

Hi there,

you may also like to check out the "PetscExt" project that a colleague
of mine has developed over the last couple of years for solving block
matrix systems in PETSc:
http://jupiter.ethz.ch/~dmay/Research/PetscExt/index.html

-- Patrick.

On Sat, Oct 2, 2010 at 3:28 PM, Jed Brown <jed at 59a2.org> wrote:
> 2010/10/2 Gong Ding <gdiso at ustc.edu>:
>> 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
>



-- 
Patrick Sunter

VPAC Senior Computational Software Developer - AuScope Monash SAM Project
Monash University Adjunct Research Associate (School of Mathematical Sciences)

Room 301, Building 28
Monash University VIC 3800
Australia

Ph: +61 (0)3 9905 4468

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