Domain Decomposition and Additive Schwarz Techniques in the Solution of a TE Model of the Scattering by an Electrically Deep Cavity [chapter]

Nolwenn Balin, Abderrahmane Bendali, Francis Collino
Lecture Notes in Computational Science and Engineering  
Two techniques are coupled to solve a model problem relative to the scattering of a 2D time-harmonic electromagnetic wave by an obstacle including an electrically deep cavity. Both of them are based on a boundary element method. The first technique uses a domain decomposition procedure to reduce the contribution of the cavity to a set of equations supported by the aperture. The second one is an additive Schwarz procedure to solve the problem after the reduction of the cavity. Numerical results
more » ... Numerical results are reported to give an insight into the approach.
doi:10.1007/3-540-26825-1_11 fatcat:c3rra2wsd5b4zcuysjhsm54dxa