Accelerating non-local exchange in generalized optimized Schwarz methods

Xavier Claeys; Roxane Delville Atchekzai

doi:10.5802/smai-jcm.133

Accelerating non-local exchange in generalized optimized Schwarz methods

Xavier Claeys, Roxane Delville Atchekzai

CEA/UVSQ/CNRS

Research output: Contribution to journal › Article › peer-review

Abstract

The generalized optimised Schwarz method proposed in [Claeys & Parolin, 2022] is a variant of the Després algorithm for solving harmonic wave problems where transmission condition are enforced by means of a non-local exchange operator. We introduce and analyse an acceleration technique that significantly reduces the cost of applying this exchange operator without deteriorating the precision and convergence speed of the overall domain decomposition algorithm.

Original language	English
Pages (from-to)	517-532
Number of pages	16
Journal	SMAI Journal of Computational Mathematics
Volume	11
DOIs	https://doi.org/10.5802/smai-jcm.133
Publication status	Published - 1 Jan 2025

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abstract = "The generalized optimised Schwarz method proposed in [Claeys \& Parolin, 2022] is a variant of the Despr{\'e}s algorithm for solving harmonic wave problems where transmission condition are enforced by means of a non-local exchange operator. We introduce and analyse an acceleration technique that significantly reduces the cost of applying this exchange operator without deteriorating the precision and convergence speed of the overall domain decomposition algorithm.",

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N2 - The generalized optimised Schwarz method proposed in [Claeys & Parolin, 2022] is a variant of the Després algorithm for solving harmonic wave problems where transmission condition are enforced by means of a non-local exchange operator. We introduce and analyse an acceleration technique that significantly reduces the cost of applying this exchange operator without deteriorating the precision and convergence speed of the overall domain decomposition algorithm.

AB - The generalized optimised Schwarz method proposed in [Claeys & Parolin, 2022] is a variant of the Després algorithm for solving harmonic wave problems where transmission condition are enforced by means of a non-local exchange operator. We introduce and analyse an acceleration technique that significantly reduces the cost of applying this exchange operator without deteriorating the precision and convergence speed of the overall domain decomposition algorithm.

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Accelerating non-local exchange in generalized optimized Schwarz methods

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