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THE RECIPROCITY GAP METHOD FOR A CAVITY IN AN INHOMOGENEOUS MEDIUM

文献类型：期刊论文

作者Zeng, Fang1; Liu, Xiaodong2; Sun, Jiguang3; Xu, Liwei4
刊名INVERSE PROBLEMS AND IMAGING
出版日期2016-08-01
卷号10期号:3页码:855-868
关键词Interior inverse scattering problem inhomogeneous medium reciprocity gap method
ISSN号1930-8337
DOI10.3934/ipi.2016024
英文摘要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.
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
语种英语
WOS记录号WOS:000383691400012
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/23408]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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