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Reciprocity gap method for an interior inverse scattering problem
Zeng, Fang1,2; Liu, Xiaodong3; Sun, Jiguang4; Xu, Liwei1
2017-02-01
Source PublicationJOURNAL OF INVERSE AND ILL-POSED PROBLEMS
ISSN0928-0219
Volume25Issue:1Pages:57-68
AbstractWe 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.
KeywordInterior inverse scattering inhomogeneous medium Dirichlet eigenvalue reciprocity gap method
DOI10.1515/jiip-2015-0064
Language英语
Funding ProjectChongqing 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000394001800004
PublisherWALTER DE GRUYTER GMBH
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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24829
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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.
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