A simple preconditioned domain decomposition method for electromagnetic scattering problems

François Alouges (1) , Jennifer Bourguignon-Mirebeau (2) , David P. Levadoux (3)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay
3 ONERA - The French Aerospace Lab [Palaiseau]

We present a domain decomposition method (DDM) devoted to the iterative solution of time-harmonic electromagnetic scattering problems, involving large and resonant cavities. This DDM uses the electric field integral equation (EFIE) for the solution of Maxwell problems in both interior and exterior subdomains, and we propose a simple preconditioner for the global method, based on the single layer operator restricted to the fictitious interface between the two subdomains.

Mots clés: Electromagnetism; integral equations methods; domain decomposition methods; preconditioning; cavities.; cavities

Domaines: Analyse numérique [math.NA]

François Alouges, Jennifer Bourguignon-Mirebeau, David P. Levadoux. A simple preconditioned domain decomposition method for electromagnetic scattering problems. 2012. ⟨hal-00647864v2⟩