THE RECIPROCITY GAP METHOD FOR A CAVITY IN AN INHOMOGENEOUS MEDIUM

doi:10.3934/ipi.2016024

CSpace > 应用数学研究所

	THE RECIPROCITY GAP METHOD FOR A CAVITY IN AN INHOMOGENEOUS MEDIUM
	Zeng, Fang 1; Liu, Xiaodong2 ; Sun, Jiguang 3; Xu, Liwei 4
	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.