Near-field imaging of obstacles with the factorization method: fluid-solid interaction
文献类型：期刊论文
| 作者 | Yin, Tao1; Hu, Guanghui2; Xu, Liwei1,3; Zhang, Bo4,5
|
| 刊名 | INVERSE PROBLEMS
 |
| 出版日期 | 2016 |
| 卷号 | 32期号:1页码:29 |
| 关键词 | inverse scattering fluid-solid interaction problem factorization method near-field imaging Helmholtz equation Navier equation |
| ISSN号 | 0266-5611 |
| DOI | 10.1088/0266-5611/32/1/015003 |
| 英文摘要 | Consider a time-harmonic acoustic point source incident on a bounded isotropic linearly elastic body immersed in a homogeneous compressible inviscid fluid. This paper is concerned with the inverse fluid-solid interaction problem of recovering the elastic body from near-field data generated by infinitely many incident point source waves at a fixed energy. The incident point sources and the receivers for recording scattered signals are both located on a non-spherical closed surface, on which an outgoing-to-incoming operator is appropriately defined. We provide a theoretical justification of the factorization method for precisely characterizing the scatterer by utilizing the spectrum of the near-field operator. This generalizes the imaging scheme developed in (Hu et al 2014 Inverse Problems 30 095005) to the case when near-field data are measured on non-spherical surfaces. Numerical examples in 2D are demonstrated to show the validity and accuracy of the inversion algorithm, even if limited aperture data are available on one or several line segments. |
| 资助项目 | China Scholarship Council ; NNSFC[11371385] ; NNSFC[11201506] ; NNSFC[61379093] ; NNSFC[91430102] ; German Research Foundation (DFG)[HU 2111/1-2] ; Start-up fund of Youth 1000 plan of China ; Youth 100 plan of Chongqing University |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000372370400003 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22370]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhang, Bo |
| 作者单位 | 1.Chongqing Univ, Coll Math & Stat, Chongqing, Peoples R China 2.Weierstrass Inst, Berlin, Germany 3.Chongqing Univ, Inst Comp & Data Sci, Chongqing, Peoples R China 4.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 5.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yin, Tao,Hu, Guanghui,Xu, Liwei,et al. Near-field imaging of obstacles with the factorization method: fluid-solid interaction[J]. INVERSE PROBLEMS,2016,32(1):29. |
| APA | Yin, Tao,Hu, Guanghui,Xu, Liwei,&Zhang, Bo.(2016).Near-field imaging of obstacles with the factorization method: fluid-solid interaction.INVERSE PROBLEMS,32(1),29. |
| MLA | Yin, Tao,et al."Near-field imaging of obstacles with the factorization method: fluid-solid interaction".INVERSE PROBLEMS 32.1(2016):29. |
入库方式： OAI收割
来源：数学与系统科学研究院
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