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The linear sampling method for inhomogeneous medium and buried objects from far field measurements
Qin, Haihua1; Liu, Xiaodong2
2016-07-01
Source PublicationAPPLIED NUMERICAL MATHEMATICS
ISSN0168-9274
Volume105Pages:82-95
AbstractWe are concerned with the reconstruction of both the penetrable inhomogeneous medium and the buried impenetrable obstacle. Firstly, the classical linear sampling method is used to recover the support of the inhomogeneous medium, and then a modification of the linear sampling method is proposed for objects buried in a known layered medium. The main feature of our method is that it avoids using knowledge of the Green's function for the background media. Finally, some numerical experiments are presented to demonstrate the feasibility and effectiveness of our method. (C) 2016 IMACS. Published by Elsevier B.V. All rights reserved.
KeywordInverse acoustic scattering Linear sampling method Mixed reciprocity principle Inhomogeneous background Buried object
DOI10.1016/j.apnum.2015.11.006
Language英语
Funding ProjectNNSF of China[11501562] ; NNSF of China[11571355] ; Fundamental Research Funds for the Central Universities[2015QNA49] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000375813300005
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22634
Collection应用数学研究所
Affiliation1.China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China
2.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Qin, Haihua,Liu, Xiaodong. The linear sampling method for inhomogeneous medium and buried objects from far field measurements[J]. APPLIED NUMERICAL MATHEMATICS,2016,105:82-95.
APA Qin, Haihua,&Liu, Xiaodong.(2016).The linear sampling method for inhomogeneous medium and buried objects from far field measurements.APPLIED NUMERICAL MATHEMATICS,105,82-95.
MLA Qin, Haihua,et al."The linear sampling method for inhomogeneous medium and buried objects from far field measurements".APPLIED NUMERICAL MATHEMATICS 105(2016):82-95.
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