KMS Of Academy of mathematics and systems sciences, CAS
THE RECIPROCITY GAP METHOD FOR A CAVITY IN AN INHOMOGENEOUS MEDIUM | |
Zeng, Fang1; Liu, Xiaodong2; Sun, Jiguang3; Xu, Liwei4 | |
2016-08-01 | |
发表期刊 | INVERSE PROBLEMS AND IMAGING |
ISSN | 1930-8337 |
卷号 | 10期号:3页码:855-868 |
摘要 | We consider an interior inverse medium problem of reconstructing the shape of a cavity. Both the measurement locations and point sources are inside the cavity. Due to the lack of a priori knowledge of physical prosperities of the medium inside the cavity and to avoid the computation of background Green's functions, the reciprocity gap method is employed. We prove the related theory and present some numerical examples for validation. |
关键词 | Interior inverse scattering problem inhomogeneous medium reciprocity gap method |
DOI | 10.3934/ipi.2016024 |
语种 | 英语 |
资助项目 | Chongqing postdoctoral research project[Xm2014081] ; fundamental research funds for the central universities[CDJZR14105501] ; NSFC[11501063] ; NSFC[11371385] ; NNSF of China[11571355] ; National Center for Mathematics and Interdisciplinary Sciences, CAS ; MTU REF grant ; NSF[CNIC-1427665] ; Start-up fund of Youth 1000 plan of China ; Youth 100 plan of Chongqing University |
WOS研究方向 | Mathematics ; Physics |
WOS类目 | Mathematics, Applied ; Physics, Mathematical |
WOS记录号 | WOS:000383691400012 |
出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/23409 |
专题 | 应用数学研究所 |
通讯作者 | Zeng, Fang |
作者单位 | 1.Chongqing Univ, Coll Math & Stat, Inst Comp & Data Sci, Postdoctoral Stn Opt Engn, Chongqing 400044, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA 4.Chongqing Univ, Coll Math & Stat, Inst Comp & Data Sci, Chongqing 401331, Peoples R China |
推荐引用方式 GB/T 7714 | Zeng, Fang,Liu, Xiaodong,Sun, Jiguang,et al. THE RECIPROCITY GAP METHOD FOR A CAVITY IN AN INHOMOGENEOUS MEDIUM[J]. INVERSE PROBLEMS AND IMAGING,2016,10(3):855-868. |
APA | Zeng, Fang,Liu, Xiaodong,Sun, Jiguang,&Xu, Liwei.(2016).THE RECIPROCITY GAP METHOD FOR A CAVITY IN AN INHOMOGENEOUS MEDIUM.INVERSE PROBLEMS AND IMAGING,10(3),855-868. |
MLA | Zeng, Fang,et al."THE RECIPROCITY GAP METHOD FOR A CAVITY IN AN INHOMOGENEOUS MEDIUM".INVERSE PROBLEMS AND IMAGING 10.3(2016):855-868. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论