Nonlocal Optimized Schwarz Methods for time-harmonic electromagnetics - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Advances in Computational Mathematics Année : 2022

Nonlocal Optimized Schwarz Methods for time-harmonic electromagnetics

Résumé

We introduce a new domain decomposition strategy for time harmonic Maxwell's equations that is valid in the case of automatically generated subdomain partitions with possible presence of cross-points. The convergence of the algorithm is guaranteed and we present a complete analysis of the matrix form of the method. The method involves transmission matrices responsible for imposing coupling between subdomains. We discuss the choice of such matrices, their construction and the impact of this choice on the convergence of the domain decomposition algorithm. Numerical results and algorithms are provided.

Dates et versions

hal-03883017 , version 1 (02-12-2022)

Identifiants

Citer

Xavier Claeys, Francis Collino, Emile Parolin. Nonlocal Optimized Schwarz Methods for time-harmonic electromagnetics. Advances in Computational Mathematics, 2022. ⟨hal-03883017⟩
14 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More