Dear all, I would like your opinion and advice on solving indefinite problems with dealii. Does dealii has any solver classes (iterative) to deal with these problems ? Does the adaptive multigrid techniques be a good strategy; as presently I use Two level Optimized Schwarz methods, which seems to be working fine for my indefinite Maxwell's equations. Have anyone solved any indefinite problems iteratively with dealii before ? This is a problem where even the state of the art for Maxwell's: Hypre's Auxillary Maxwell Space (AMS) solver also seems obsolete on clusters. And, to mention, my requirement is to solve physical problems on a very large scale or 1000s of cluster MPI processes.
Also, I'm hoping to try implement the aforesaid ORAS schemes with dealii data structures. But this needs some time as I'm a Mechanical Engineer, and also the mathematics of these methods involving restriction and partition of unity from geometric partitioning or domain decomposition seems quite different from the MPI parallelizing strategy (which I guess is algebraic) of dealii. Please correct me if have some information stated wrongly. Some previous work where an iterative solver (similar to the one I have stated) was cooked with the solver classes of dealii also would be a perfect starting point. see the method here: https://arxiv.org/abs/1705.08138 Hoping to receive some feedback, Thankfully, Tom Mathew -- 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/749fab05-d77f-4b2d-a80a-22e82527e9eb%40googlegroups.com.
