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Asynchronous global-local non-invasive coupling for linear elliptic problems

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arxiv 2211.13073 v1 pith:ONUEXBPJ submitted 2022-11-23 cs.DC cs.NAmath.NA

Ahmed El Kerim (LMPS , MICS) , Pierre Gosselet (LaMcube) , Frédéric Magoulès (MICS) This is my paper · ORCID
classification cs.DCcs.NAmath.NA
keywords asynchronouscouplingellipticgloballinearlocalmethodnon-invasive
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This paper presents the first asynchronous version of the Global/Local non-invasive coupling, capable of dealing efficiently with multiple, possibly adjacent, patches. We give a new interpretation of the coupling in terms of primal domain decomposition method, and we prove the convergence of the relaxed asynchronous iteration. The asynchronous paradigm lifts many bottlenecks of the Global/Local coupling performance. We illustrate the method on several linear elliptic problems as encountered in thermal and elasticity studies.

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