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NEAR-FIELD IMAGING OF AN UNBOUNDED ELASTIC ROUGH SURFACE WITH A DIRECT IMAGING METHOD
Liu, Xiaoli1,2; Zhang, Bo1,2,3; Zhang, Haiwen1,4
2019
Source PublicationSIAM JOURNAL ON APPLIED MATHEMATICS
ISSN0036-1399
Volume79Issue:1Pages:153-176
AbstractThis paper is concerned with the inverse scattering problem of time-harmonic elastic waves by an unbounded rigid rough surface. A direct imaging method is developed to reconstruct the unbounded rough surface from the elastic scattered near-field Cauchy data generated by point sources. A Helmholtz-Kirchhoff-type identity is derived and then used to provide a theoretical analysis of the direct imaging algorithm. Numerical experiments are presented to show that the direct imaging algorithm is fast, accurate, and robust with respect to noise in the data.
Keywordinverse elastic scattering unbounded rough surface Dirichlet boundary condition direct imaging method near-field Cauchy data
DOI10.1137/18M1181407
Language英语
Funding ProjectNNSF of China[91630309] ; NNSF of China[11501558] ; NNSF of China[11571355] ; NNSF of China[11871466]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000460127100008
PublisherSIAM PUBLICATIONS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/33455
Collection应用数学研究所
Corresponding AuthorLiu, Xiaoli
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, LSEC, NCMIS, Beijing 100190, Peoples R China
4.Chinese Acad Sci, NCMIS, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Liu, Xiaoli,Zhang, Bo,Zhang, Haiwen. NEAR-FIELD IMAGING OF AN UNBOUNDED ELASTIC ROUGH SURFACE WITH A DIRECT IMAGING METHOD[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2019,79(1):153-176.
APA Liu, Xiaoli,Zhang, Bo,&Zhang, Haiwen.(2019).NEAR-FIELD IMAGING OF AN UNBOUNDED ELASTIC ROUGH SURFACE WITH A DIRECT IMAGING METHOD.SIAM JOURNAL ON APPLIED MATHEMATICS,79(1),153-176.
MLA Liu, Xiaoli,et al."NEAR-FIELD IMAGING OF AN UNBOUNDED ELASTIC ROUGH SURFACE WITH A DIRECT IMAGING METHOD".SIAM JOURNAL ON APPLIED MATHEMATICS 79.1(2019):153-176.
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