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Optimized Restricted Additive Schwarz Methods

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Domain Decomposition Methods in Science and Engineering XVI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 55))

Abstract

A small modification of the restricted additive Schwarz (RAS) preconditioner at the algebraic level, motivated by continuous optimized Schwarz methods, leads to a greatly improved convergence rate of the iterative solver. The modification is only at the level of the subdomain matrices, and hence easy to do in an existing RAS implementation.

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St-Cyr, A., Gander, M.J., Thomas, S.J. (2007). Optimized Restricted Additive Schwarz Methods. 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_22

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