发表状态 | 已发表Published |
题名 | Inverse obstacle scattering for elastic waves |
作者 | |
发表日期 | 2016-10-07 |
发表期刊 | Inverse Problems
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ISSN/eISSN | 0266-5611 |
卷号 | 32期号:11 |
摘要 | Consider the scattering of a time-harmonic plane wave by a rigid obstacle which is embedded in an open space filled with a homogeneous and isotropic elastic medium. An exact transparent boundary condition is introduced to reduce the scattering problem into a boundary value problem in a bounded domain. Given the incident field, the direct problem is to determine the displacement of the wave field from the known obstacle; the inverse problem is to determine the obstacle's surface from the measurement of the displacement on an artificial boundary enclosing the obstacle. In this paper, we consider both the direct and inverse problems. The direct problem is shown to have a unique weak solution by examining its variational formulation. The domain derivative is derived for the displacement with respect to the variation of the surface. A continuation method with respect to the frequency is developed for the inverse problem. Numerical experiments are presented to demonstrate the effectiveness of the proposed method. |
关键词 | domain derivative elastic wave equation inverse obstacle scattering |
DOI | 10.1088/0266-5611/32/11/115018 |
URL | 查看来源 |
收录类别 | SCIE |
语种 | 英语English |
WOS研究方向 | Mathematics ; Physics |
WOS类目 | Mathematics, Applied ; Physics, Mathematical |
WOS记录号 | WOS:000386033400003 |
Scopus入藏号 | 2-s2.0-85009154224 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://repository.uic.edu.cn/handle/39GCC9TT/7956 |
专题 | 个人在本单位外知识产出 理工科技学院 |
通讯作者 | Li, Peijun |
作者单位 | 1.Department of Mathematics,Purdue University,West Lafayette,47907,United States 2.Department of Mathematics,Hong Kong Baptist University,Kowloon,Hong Kong 3.School of Science,East China University of Technology,Nanchang, Jiangxi,330013,China |
推荐引用方式 GB/T 7714 | Li, Peijun,Wang, Yuliang,Wang, Zewenet al. Inverse obstacle scattering for elastic waves[J]. Inverse Problems, 2016, 32(11). |
APA | Li, Peijun, Wang, Yuliang, Wang, Zewen, & Zhao, Yue. (2016). Inverse obstacle scattering for elastic waves. Inverse Problems, 32(11). |
MLA | Li, Peijun,et al."Inverse obstacle scattering for elastic waves". Inverse Problems 32.11(2016). |
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