Abstract
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.
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References
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Gander, M.J., Halpern, L., Kern, M. (2007). A Schwarz Waveform Relaxation Method for Advection—Diffusion—Reaction Problems with Discontinuous Coefficients and Non-matching Grids. In: Widlund, O.B., Keyes, D.E. (eds) Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34469-8_33
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DOI: https://doi.org/10.1007/978-3-540-34469-8_33
Publisher Name: Springer, Berlin, Heidelberg
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