Optimized Schwarz Domain Decomposition Methods

Joint Research Workshop of Institute of Mathematics for Industry (IMI), Kyushu University : \u22Propagation of Ultra-large-scale Computation by the Domain-decomposition-method for Industrial Problems (PUCDIP 2014)\u22In this paper, the general principles of asynchronous iterative algorithms and their extension to optimized Schwarz methods are presented. The mathematical framework needed for such algorithms is briefly introduced and the convergence of the asynchronous Schwarz method is given. The experimental results, performed on large scale engineering problem, demonstrate that the proposed asynchronous optimized Schwarz algorithms are as fast as their synchronous counterparts in all cases and become faster when the number of cores increases