Schwarz methods for discrete elliptic and parabolic problems with an application to nuclear waste repository modelling

R. Blaheta, R. Kohut, M. Neytcheva and J. Starý

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 76, issue 1, 18-27

Abstract: The paper is devoted to the numerical solution of both elliptic and parabolic problems by overlapping Schwarz methods. It demonstrates that while the two-level Schwarz method is necessary for the efficient solution of discrete elliptic problems, the one-level Schwarz method can be sufficiently efficient in the parabolic case. The paper includes results from numerical simulations of a large-scale model of the performance of a nuclear waste repository.

Keywords: Elliptic problems; Parabolic problems; Overlapping domain decomposition; Schwarz methods; Nuclear waste repository (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:76:y:2007:i:1:p:18-27

DOI: 10.1016/j.matcom.2007.01.028

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