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
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ISSN/eISSN | 0254-9409 |
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 |
DOI | 10.4208/jcm.1009-m3303 |
URL | 查看来源 |
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 | |
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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