Accelerating non-local exchange in generalized optimized Schwarz methods

Fuente: arXiv
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Autori principali: Atchekzai, Roxane, Claeys, Xavier
Natura: Preprint
Pubblicazione: 2024
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author Atchekzai, Roxane
Claeys, Xavier
author_facet Atchekzai, Roxane
Claeys, Xavier
contents The generalized optimised Schwarz method proposed in [Claeys & Parolin, 2022] is a variant of the Després algorithm for solving harmonic wave problems where transmission conditions 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_03073
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Accelerating non-local exchange in generalized optimized Schwarz methods
Atchekzai, Roxane
Claeys, Xavier
Numerical Analysis
65N55, 65F10, 65N22
The generalized optimised Schwarz method proposed in [Claeys & Parolin, 2022] is a variant of the Després algorithm for solving harmonic wave problems where transmission conditions 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.
title Accelerating non-local exchange in generalized optimized Schwarz methods
topic Numerical Analysis
65N55, 65F10, 65N22
url https://arxiv.org/abs/2401.03073