Solving large sparse linear systems by iterative methods has often been quite unsatisfactory when dealing with pratical \"industrial\" problems. The main difficulty encountered by such methods is their lack of robustness and, generally, the …
In this paper, we consider a hyperbolic system with multiple time step characteristics. Such a situation arises for example in combustion problems when the acoustic time is small compared to the characteristic time associated to the flame …
The purpose of our work is to provide a method which exploits the parallel blockwise algorithmic approach used in the framework of high performance sparse direct solvers in order to develop robust preconditioners based on a parallel incomplete …
PaStiX is a scientific library that provides a high performance direct supernodal solver for very large sparse linear systems. It relies on a block factorization based on an hybrid ordering (Nested Dissection + Halo Approximate Minimum Degree) …