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

Ahmed El Kerim (1, 2) , Pierre Gosselet (3) , Frederic Magoules (2)

1 LMPS - Laboratoire de Mécanique Paris-Saclay
2 MICS - Mathématiques et Informatique pour la Complexité et les Systèmes
3 LaMcube - Laboratoire de Mécanique, Multiphysique, Multiéchelle - UMR 9013

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.

Mots clés: Non-invasive coupling; Asynchronous domain decomposition; Linear domain decomposition method; Monotone operator; Paracontraction techniques; MPI-RDMA

Domaines: Mécanique des structures [physics.class-ph]; Calcul parallèle, distribué et partagé [cs.DC]; Analyse numérique [math.NA]

Ahmed El Kerim, Pierre Gosselet, Frederic Magoules. Asynchronous global-local non-invasive coupling for linear elliptic problems. Computer Methods in Applied Mechanics and Engineering, 2023, 406 (115910), ⟨10.1016/j.cma.2023.115910⟩. ⟨hal-03855733v2⟩