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Parallel Asynchronous Schwarz and Multisplitting Methods for a Nonlinear Diffusion Problem |
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| Authors: | Pierre Spiteri Jean-Claude Miellou Didier El Baz |
| Institution: | (1) ENSEEIHT-IRIT, LIMA, Institut National Polytechnique de Toulouse, 2, Rue Camichel, F-31071 Toulouse Cedex, France;(2) Département de Mathématiques, U.F.R. Sciences et Techniques, Université de Franche-Comté, 16, Route de Gray, F-25030 Besançon Cedex, France;(3) LAAS du CNRS, 7, avenue du Colonel Roche, F-31077 Toulouse Cedex 4, France |
| Abstract: | Parallel asynchronous subdomain algorithms with flexible communication for the numerical solution of nonlinear diffusion problems are presented. The discrete maximum principle is considered and the Schwarz alternating method and multisplitting methods are studied. A connection is made with M-functions for a classical nonlinear diffusion problem. Finally, computational experiments carried out on a shared memory multiprocessor are presented and analyzed. |
| Keywords: | parallel iterative algorithms asynchronous iterations Schwarz alternating method multisplitting method subdomain methods boundary value problems |
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