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Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide
Liu, Keji1; Xu, Yongzhi2; Zou, Jun3
刊名JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
2018-08-15
卷号338页码:239-257
关键词Stratified ocean waveguide Inhomogeneous media Direct sampling method
ISSN号0377-0427
DOI10.1016/j.cam.2018.01.031
英文摘要We shall derive a direct sampling method for the recovery of wave-penetrable inhomogeneous scatterers in a three-dimensional stratified ocean waveguide. The proposed method is simple, straightforward and computationally efficient since no matrix inversions, optimizations or solutions of ill-posed linear systems are involved. Moreover, it is highly tolerant to noise and is applicable with a few scattered fields corresponding to only two or four incidences. In addition, a priori knowledge of either the number of disconnected components or the physical features of the unknown obstacles is not required by the direct sampling method. A mathematical derivation is provided for its validation and several extensive numerical experiments are shown to evaluate the effectiveness and feasibility of the newly proposed method. (C) 2018 Elsevier B.V. All rights reserved.
WOS研究方向Mathematics
语种英语
出版者ELSEVIER SCIENCE BV
WOS记录号WOS:000428827200016
内容类型期刊论文
源URL[http://10.2.47.112/handle/2XS4QKH4/544]  
专题上海财经大学
通讯作者Zou, Jun
作者单位1.Shanghai Univ Finance & Econ, Inst Sci Computat & Financial Data Anal, Sch Math, Shanghai Key Lab Financial Informat Technol, 777 Guoding Rd, Shanghai 200433, Peoples R China;
2.Univ Louisville, Dept Math, Louisville, KY 40245 USA;
3.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
推荐引用方式
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Liu, Keji,Xu, Yongzhi,Zou, Jun. Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2018,338:239-257.
APA Liu, Keji,Xu, Yongzhi,&Zou, Jun.(2018).Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,338,239-257.
MLA Liu, Keji,et al."Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 338(2018):239-257.
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