Accelerating non-local exchange in generalized optimized Schwarz methods

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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Publication Details

Journal
SMAI Journal of Computational Mathematics
Published
2025-08-25
DOI
https://doi.org/10.5802/smai-jcm.133
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
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article

Accelerating non-local exchange in generalized optimized Schwarz methods

Xavier Claeys, Roxane Delville Atchekzai
SMAI Journal of Computational Mathematics
Advanced Mathematical Modeling in Engineering
article

Accelerating non-local exchange in generalized optimized Schwarz methods

Xavier Claeys, Roxane Delville Atchekzai
article en

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.

SMAI Journal of Computational MathematicsVol. 11
CEA CESTA (FR), Centre National de la Recherche Scientifique (FR), Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR)
Openalex Percentile: Top 77%
Advanced Mathematical Modeling in Engineering
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