Reciprocity gap method for an interior inverse scattering problem

doi:10.1515/jiip-2015-0064

CSpace > 应用数学研究所

	Reciprocity gap method for an interior inverse scattering problem
	Zeng, Fang 1,2; Liu, Xiaodong3 ; Sun, Jiguang 4; Xu, Liwei 1
	2017-02-01
发表期刊	JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
ISSN	0928-0219
卷号	25 期号:1 页码:57-68
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.
关键词	Interior inverse scattering inhomogeneous medium Dirichlet eigenvalue reciprocity gap method
DOI	10.1515/jiip-2015-0064
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000394001800004
出版者	WALTER DE GRUYTER GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24829
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.