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A domain decomposition preconditioner for steady groundwater flow in porous media

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Abstract

In this paper an algorithm is presented based on the additive Schwarz method for steady groundwater flow in a porous medium. The subproblems in the algorithm correspond to the problem on a coarse grid and some overlapping subdomains. It will be shown that the rate of convergence is independent of the mesh parameters and discontinuities of the coefficients, and depends on the overlap ratio.

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Authors and Affiliations

  1. Department of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159-91775, Mashhad, Iran

    N. Ghahreman & A. Kerayechian

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  1. N. Ghahreman
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  2. A. Kerayechian
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Correspondence to N. Ghahreman.

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Ghahreman, N., Kerayechian, A. A domain decomposition preconditioner for steady groundwater flow in porous media. Korean J. Comput. & Appl. Math. 7, 541–553 (2000). https://doi.org/10.1007/BF03012267

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  • DOI: https://doi.org/10.1007/BF03012267

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