Domain Decomposition and Additive Schwarz Techniques in the Solution of a TE Model of the Scattering by an Electrically Deep Cavity
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 are reported to give an insight into the approach.
Key wordsScattering cavity boundary elements Schwarz additive method
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- André Barka, Paul Soudais, and D. Volpert. Scattering from 3D cavities with a plug&play numerical scheme combining IE, PDE and modal techniques. IEEE Trans. Antennas and Propagation, 2000.Google Scholar
- Jian-Ming Jin. The Finite Element Method in Electromagnetism. Wiley, New-York, 1993.Google Scholar
- Pierre-Louis Lions. On the Schwarz alternating method. I. In Roland Glowinski, Gene H. Golub, Gérard A. Meurant, and Jacques Périaux, editors, First International Symposium on Domain Decomposition Methods for Partial Differential Equations, pages 1–42, Philadelphia, PA, 1988. SIAM.Google Scholar