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THE RECIPROCITY GAP METHOD FOR A CAVITY IN AN INHOMOGENEOUS MEDIUM
Zeng, Fang1; Liu, Xiaodong2; Sun, Jiguang3; Xu, Liwei4
2016-08-01
Source PublicationINVERSE PROBLEMS AND IMAGING
ISSN1930-8337
Volume10Issue:3Pages:855-868
AbstractWe 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.
KeywordInterior inverse scattering problem inhomogeneous medium reciprocity gap method
DOI10.3934/ipi.2016024
Language英语
Funding ProjectChongqing 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 Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000383691400012
PublisherAMER INST MATHEMATICAL SCIENCES-AIMS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/23409
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZeng, Fang
Affiliation1.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
Recommended Citation
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.
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