Domain-DecompositionMethods for Parabolic Problems in Multi- dimensions with error-estimates |
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| Authors: | Jürgen Geiser |
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| Affiliation: | Department of Mathematics, Humboldt-Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany |
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| Abstract: | In this paper we consider parabolic equations with multi-physical processes for applications in porous media. For the solver method we apply an overlapping Schwarz wave form relaxation method, see [1]. We describe the theory for a multidimensional convection-diffusion-reaction equations and present an error-estimate for the domain-decomposition-method. The exactness and the efficiency of the methods are investigated through solutions of model problems of convection-diffusion-reaction equation. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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