The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces
文献类型：期刊论文
| 作者 | Li, Jianliang1; Sun, Guanying2; Zhang, Bo3,4
|
| 刊名 | APPLICABLE ANALYSIS
 |
| 出版日期 | 2017 |
| 卷号 | 96期号:1页码:85-107 |
| 关键词 | Inverse scattering Helmholtz equation locally rough interface transmission problem the Kirsch-Kress approach |
| ISSN号 | 0003-6811 |
| DOI | 10.1080/00036811.2016.1192141 |
| 英文摘要 | This paper is concerned with the inverse problem of reconstructing an infinite, locally rough interface from the scattered field measured on line segments above and below the interface in two dimensions. We extend the Kirsch-Kress method originally developed for inverse obstacle scattering problems to the above inverse transmission problem with unbounded interfaces. To this end, we reformulate our inverse problem as a nonlinear optimization problem with a Tikhonov regularization term. We prove the convergence of the optimization problem when the regularization parameter tends to zero. Finally, numerical experiments are carried out to show the validity of the inversion algorithm. |
| 资助项目 | NNSF of China[61379093] ; NNSF of China[91430102] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000390670600007 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24447]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhang, Bo |
| 作者单位 | 1.Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Hunan, Peoples R China 2.North China Univ Technol, Dept Math, Beijing, Peoples R China 3.Chinese Acad Sci, AMSS, LSEC, Beijing, Peoples R China 4.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Jianliang,Sun, Guanying,Zhang, Bo. The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces[J]. APPLICABLE ANALYSIS,2017,96(1):85-107. |
| APA | Li, Jianliang,Sun, Guanying,&Zhang, Bo.(2017).The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces.APPLICABLE ANALYSIS,96(1),85-107. |
| MLA | Li, Jianliang,et al."The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces".APPLICABLE ANALYSIS 96.1(2017):85-107. |
入库方式： OAI收割
来源：数学与系统科学研究院
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