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	Numerical solution of electromagnetic scattering from a large partly covered cavity
	Du, Kui ; Sun, Weiwei ; Du K(杜魁)
	2011
关键词	Electromagnetic scattering Helmholtz equation Partly covered cavity Layered medium preconditioning
英文摘要	The paper focuses on the numerical study of electromagnetic scattering from two-dimensional (2D) large partly covered cavities, which is described by the Helmholtz equation with a nonlocal boundary condition on the aperture. The classical five-point finite difference method is applied for the discretization of the Helmholtz equation and a linear approximation is used for the nonlocal boundary condition. We prove the existence and uniqueness of the numerical solution when the medium in the cavity is y-direction layered or the number of the mesh points on the aperture is large enough. The fast algorithm proposed in Bao and Sun (2005) [2] for open cavity models is extended to solving the partly covered cavity problem with (vertically) layered media. A preconditioned Krylov subspace method is proposed to solve the partly covered cavity problem with a general medium, in which a layered medium model is used as a preconditioner of the general model. Numerical results for several types of partly covered cavities with different wave numbers are reported and compared with those by ILU-type preconditioning algorithms. Our numerical experiments show that the proposed preconditioning algorithm is more efficient for partly covered cavity problems, particularly with large wave numbers. (C) 2011 Elsevier B.V. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66422]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Du, Kui,Sun, Weiwei,Du K. Numerical solution of electromagnetic scattering from a large partly covered cavity[J],2011.
APA	Du, Kui,Sun, Weiwei,&杜魁.(2011).Numerical solution of electromagnetic scattering from a large partly covered cavity..
MLA	Du, Kui,et al."Numerical solution of electromagnetic scattering from a large partly covered cavity".(2011).

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