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

作者：Cai Wei^*; Ji Xial; Sun Jiguang; Shao Sihong

来源：Journal of Computational Physics, 2008, 227(23): 9933-9954.

DOI：10.1016/j.jcp.2008.08.012

• Eigen-oscillations
• Spectral methods
• Schwarz domain decomposition method
• Radiation interface condition
• Complex Helmholtz equations
• High frequency scattering
• Dispersive inhomogeneous media
• Phase shift mask

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.

• 出版日期2008-12-1
• 单位北京大学