A Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D high frequency electromagnetic scattering in dispersive inhomogeneous media

Authors:
Wei Cai;Xia Ji;Jiguang Sun;Sihong Shao
Affiliations:
Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, United States;Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, United States;Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901, United States;School of Mathematical Sciences, Peking University, Beijing 100871, China
Venue:
Journal of Computational Physics
Year:
2008

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Abstract

In this paper, we propose a parallel Schwarz generalized eigen-oscillation spectral element method (GeSEM) for 2-D complex Helmholtz equations in high frequency wave scattering in dispersive inhomogeneous media. This method is based on the spectral expansion of complex generalized eigen-oscillations for the electromagnetic fields and the Schwarz non-overlapping domain decomposition iteration method. The GeSEM takes advantages of a special real orthogonality property of the complex eigen-oscillations and a new radiation interface condition for the system of equations for the spectral expansion coefficients. Numerical results validate the high resolution and the flexibility of the method for various materials.