Schwarz method justification of a coupling between finite elements and integral representation for Maxwell exterior problem

Eric Darrigrand (1) , Nabil Gmati (2) , Rania Rais (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 LR-LAMSIN-ENIT - Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]

We are interested in the resolution of an exterior Maxwell problem in 3D using a coupling between finite elements and integral representation. This strategy is interpreted as a Schwarz method which suggests a preconditioner for Krylov solvers. Numerical results confirm the relevance of the resolution scheme.

Keywords: Finite elements; integral representation; Schwarz method; Krylov solvers

Domains: Numerical Analysis [math.NA]

Eric Darrigrand, Nabil Gmati, Rania Rais. Schwarz method justification of a coupling between finite elements and integral representation for Maxwell exterior problem. Comptes Rendus. Mathématique, 2014, 352 (4), pp.311-315. ⟨10.1016/j.crma.2014.02.006⟩. ⟨hal-00951206⟩