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题名Inverse obstacle scattering for elastic waves
作者
发表日期2016-10-07
发表期刊Inverse Problems
ISSN/eISSN0266-5611
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
DOI10.1088/0266-5611/32/11/115018
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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
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/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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