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发表状态已发表Published
题名A fast high order method for electromagnetic scattering by large open cavities
作者
发表日期2011
发表期刊Journal of Computational Mathematics
ISSN/eISSN0254-9409
卷号29期号:3页码:287-304
摘要

In this paper, the electromagnetic scattering from a rectangular large open cavity embedded in an infinite ground plane is studied. By introducing a nonlocal artificial boundary condition, the scattering problem from the open cavity is reduced to a bounded domain problem. A compact fourth order finite difference scheme is then proposed to discrete the cavity scattering model in the rectangular domain, and a special treatment is enforced to approximate the boundary condition, which makes truncation errors reach Ο(h4) in the whole computational domain. A fast algorithm, exploiting the discrete Fourier transformation in the horizontal and a Gaussian elimination in the vertical direction, is employed, which reduces the discrete system to a much smaller interface system. An effective preconditioner is presented for the BICGstab iterative solver to solve this interface system. Numerical results demonstrate the remarkable accuracy and efficiency of the proposed method. In particular, it can be used to solve the cavity model for the large wave number up to 600π.

关键词Compact finite difference scheme Electromagnetic cavity FFT Preconditioning
DOI10.4208/jcm.1009-m3303
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收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000291370000003
引用统计
被引频次:31[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/1808
专题个人在本单位外知识产出
通讯作者Zhao, Meiling
作者单位
1.School of Mathematics and System Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
2.Institute for Computational Mathematics and Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong
3.Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong
推荐引用方式
GB/T 7714
Zhao, Meiling,Qiao, Zhonghua,Tang, Tao. A fast high order method for electromagnetic scattering by large open cavities[J]. Journal of Computational Mathematics, 2011, 29(3): 287-304.
APA Zhao, Meiling, Qiao, Zhonghua, & Tang, Tao. (2011). A fast high order method for electromagnetic scattering by large open cavities. Journal of Computational Mathematics, 29(3), 287-304.
MLA Zhao, Meiling,et al."A fast high order method for electromagnetic scattering by large open cavities". Journal of Computational Mathematics 29.3(2011): 287-304.
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