Reciprocity gap method for an interior inverse scattering problem
文献类型：期刊论文
| 作者 | Zeng, Fang1,2; Liu, Xiaodong3 ; Sun, Jiguang4; Xu, Liwei1
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| 刊名 | JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
 |
| 出版日期 | 2017-02-01 |
| 卷号 | 25期号:1页码:57-68 |
| 关键词 | Interior inverse scattering inhomogeneous medium Dirichlet eigenvalue reciprocity gap method |
| ISSN号 | 0928-0219 |
| DOI | 10.1515/jiip-2015-0064 |
| 英文摘要 | We consider an interior inverse scattering problem of reconstructing the shape of a cavity with inhomogeneous medium inside. We prove a uniqueness theorem for the inverse problem. Using Cauchy data on a curve inside the cavity due to interior point sources, we employ the reciprocity gap method to reconstruct the cavity. Numerical examples are provided to show the effectiveness of the method. |
| 资助项目 | Chongqing Postdoctoral Research Project Special Fund[Xm2014081] ; Fundamental Research Funds for the Central Universities[CDJZR14105501] ; NNSF of China[11101412] ; National Center for Mathematics and Interdisciplinary Sciences, CAS ; MTU REF grant ; NSF[CNIC-1427665] ; NSFC grant[11371385] ; Chongqing University |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000394001800004 |
| 出版者 | WALTER DE GRUYTER GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24828]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zeng, Fang |
| 作者单位 | 1.Chongqing Univ, Inst Comp & Data Sci, Coll Math & Stat, Chongqing 400044, Peoples R China 2.Chongqing Univ, Postdoctoral Stn Opt Engn, Chongqing 401331, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 4.Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA |
| 推荐引用方式 GB/T 7714 | Zeng, Fang,Liu, Xiaodong,Sun, Jiguang,et al. Reciprocity gap method for an interior inverse scattering problem[J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS,2017,25(1):57-68. |
| APA | Zeng, Fang,Liu, Xiaodong,Sun, Jiguang,&Xu, Liwei.(2017).Reciprocity gap method for an interior inverse scattering problem.JOURNAL OF INVERSE AND ILL-POSED PROBLEMS,25(1),57-68. |
| MLA | Zeng, Fang,et al."Reciprocity gap method for an interior inverse scattering problem".JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 25.1(2017):57-68. |
入库方式： OAI收割
来源：数学与系统科学研究院
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