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Discrete Analysis of Schwarz Waveform Relaxation for a Simplified Air-Sea Coupling Problem with Nonlinear Transmission Conditions

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 145))

Abstract

Schwarz-like domain decomposition methods are very popular in mathematics, the computational sciences and engineering, notably for the implementation of coupling strategies. Such an iterative method has recently been applied in a state-of-the-art Earth System Model (ESM) to evaluate the consequences of inaccuracies in the usual ad hoc ocean-atmosphere coupling algorithms used in realistic models [2]. For such a complex application it is challenging to have an a priori knowledge of the convergence properties of the Schwarz method.

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Correspondence to S. Clement .

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Clement, S., Lemarié, F., Blayo, E. (2022). Discrete Analysis of Schwarz Waveform Relaxation for a Simplified Air-Sea Coupling Problem with Nonlinear Transmission Conditions. In: Brenner, S.C., Chung, E., Klawonn, A., Kwok, F., Xu, J., Zou, J. (eds) Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, vol 145. Springer, Cham. https://doi.org/10.1007/978-3-030-95025-5_19

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