English

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

Distributed, Parallel, and Cluster Computing 2023-02-15 v1 Numerical Analysis Numerical Analysis

Abstract

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.

Cite

@article{arxiv.2211.13073,
  title  = {Asynchronous global-local non-invasive coupling for linear elliptic problems},
  author = {Ahmed El Kerim and Pierre Gosselet and Frédéric Magoulès},
  journal= {arXiv preprint arXiv:2211.13073},
  year   = {2023}
}
R2 v1 2026-06-28T06:41:24.647Z