Hi all,

As described in the title, I am looking for an appropriate preconditioner 
for an asymmetric matrix implemented in matrix-free style.

I've gone though all the matrix-free tutorials and none of them talks about 
the asymmetric case. (Almost all of them use the Chebyshev smoother with 
different inner preconditioners)

However, *Chebyshev smoother* is out of the question due to its requirement 
of symmetric positive definite matrix to get the max eigen-value. 
*BlockRelaxation 
preconditioner* is also unlikely to fit, which requires the inner 
contribution to cell blocks using discontinuous finite element. Other kinds 
of relaxation preconditioner like *SOR, ILU* all request certain entries of 
the matrix, which is expensive in matrix-free framework.

So I guess the only doable choice would be the *PreconditionJacobi + GMRES 
on the inner levels and AMG + GMRES solver on the coarse grid*?

Since I am still learning this amazing library and not familiar with the 
framework. Feel free to correct me if I got anything wrong.

Regards,
Chengjiang Yin

-- 
The deal.II project is located at http://www.dealii.org/
For mailing list/forum options, see 
https://groups.google.com/d/forum/dealii?hl=en
--- 
You received this message because you are subscribed to the Google Groups 
"deal.II User Group" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to [email protected].
To view this discussion on the web visit 
https://groups.google.com/d/msgid/dealii/0f8197d4-6b88-42d0-a2a3-303e05601a08n%40googlegroups.com.

Reply via email to