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Erschienen in:
2007 | OriginalPaper | Buchkapitel
A Schwarz Waveform Relaxation Method for Advection—Diffusion—Reaction Problems with Discontinuous Coefficients and Non-matching Grids
verfasst von : Martin J. Gander, Laurence Halpern, Michel Kern
Erschienen in: Domain Decomposition Methods in Science and Engineering XVI
Verlag: Springer Berlin Heidelberg
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We present a non-overlapping Schwarz waveform relaxation method for solving advection-reaction-diffusion problems in heterogeneous media. The domain decomposition method is global in time, which permits the use of different time steps in different subdomains.We determine optimal non-local, and optimized Robin transmission conditions.We also present a space-time finite volume scheme especially designed to handle such transmission conditions. We show the performance of the method on an example inspired from nuclear waste disposal simulations.