Parallel Schwarz methods for convection-dominated semilinear diffusion problems

Authors:
V. Sirotkin;P. Tarvainen
Affiliations:
lnstitute of Microelectronics Technology, Russian Academy of Sciences. Moscow District, Chernogolovka. Russia;Departmemt of Mathematical Information Technology, University of Jyväskylä P.O. Box 35.FIN-40351 Jyviiskylä, Finland and Numerola Oy (Ltd), Vänönkatu 11A, FIN-40 ...
Venue:
Journal of Computational and Applied Mathematics
Year:
2002

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Abstract

Parallel two-level Schwarz methods are proposed for the numerical solution of convection-diffusion problems, with the emphasis on convection-dominated problems. Two variants of the methodology are investigated. They differ from each other by the type of boundary conditions (Dirichlet- or Neumann-type) posed on a part of the second-level subdomain interfaces. Convergence properties of the two-level Schwarz methods are experimentally compared with those of a variant of the standard multi-domain Schwarz alternating method. Numerical experiments performed on a distributed memory multiprocessor computer illustrate parallel efficiency of the methods.