Section: Software and Platforms

MaPHyS

Participant : Emmanuel Agullo [corresponding member] .

MaPHyS (Massivelly Parallel Hybrid Solver) is a software package whose prototype was initially developed in the framework of a PhD thesis and further consolidated first thanks to the ANR-CIS Solstice funding and the Inria Parscali ADT. This parallel linear solver couples direct and iterative approaches. The underlying idea is to apply to general unstructured linear systems domain decomposition ideas developed for the solution of linear systems arising from PDEs. The interface problem, associated with the so called Schur complement system, is solved using a block preconditioner with overlap between the blocks that is referred to as Algebraic Additive Schwarz.

The MaPHyS package is very much a first outcome of the research activity described in Section  3.3 . Finally, MaPHyS is a preconditioner that can be used to speed-up the convergence of any Krylov subspace method. We forsee to either embed in MaPHyS some Krylov solvers or to release them as standalone packages, in particular for the block variants that will be some outcome of the studies discussed in Section  3.3 .

MaPHyS can be found at http://maphys.gforge.inria.fr .