CSpace  > 计算数学与科学工程计算研究所
Direct sampling methods for inverse elastic scattering problems
Ji, Xia1; Liu, Xiaodong2; Xi, Yingxia3
2018-03-01
Source PublicationINVERSE PROBLEMS
ISSN0266-5611
Volume34Issue:3Pages:22
AbstractWe consider the inverse elastic scattering of incident plane compressional and shear waves from the knowledge of the far field patterns. Specifically, three direct sampling methods for location and shape reconstruction are proposed using the different component of the far field patterns. Only inner products are involved in the computation, thus the novel sampling methods are very simple and fast to be implemented. With the help of the factorization of the far field operator, we give a lower bound of the proposed indicator functionals for sampling points inside the scatterers. While for the sampling points outside the scatterers, we show that the indicator functionals decay like the Bessel functions as the sampling point goes away from the boundary of the scatterers. We also show that the proposed indicator functionals continuously dependent on the far field patterns, which further implies that the novel sampling methods are extremely stable with respect to data error. For the case when the observation directions are restricted into the limited aperture, we firstly introduce some data retrieval techniques to obtain those data that can not be measured directly and then use the proposed direct sampling methods for location and shape reconstructions. Finally, some numerical simulations in two dimensions are conducted with noisy data, and the results further verify the effectiveness and robustness of the proposed sampling methods, even for multiple multiscale cases and limited-aperture problems.
Keywordelastic scattering sampling method far field pattern limited-aperture problem
DOI10.1088/1361-6420/aaa996
Language英语
Funding ProjectNNSF of China[11271018] ; NNSF of China[91630313] ; NNSF of China[11571355] ; National Centre for Mathematics and Interdisciplinary Sciences, CAS ; Youth Innovation Promotion Association, CAS
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000424903900001
PublisherIOP PUBLISHING LTD
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/450
Collection计算数学与科学工程计算研究所
应用数学研究所
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Ji, Xia,Liu, Xiaodong,Xi, Yingxia. Direct sampling methods for inverse elastic scattering problems[J]. INVERSE PROBLEMS,2018,34(3):22.
APA Ji, Xia,Liu, Xiaodong,&Xi, Yingxia.(2018).Direct sampling methods for inverse elastic scattering problems.INVERSE PROBLEMS,34(3),22.
MLA Ji, Xia,et al."Direct sampling methods for inverse elastic scattering problems".INVERSE PROBLEMS 34.3(2018):22.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Ji, Xia]'s Articles
[Liu, Xiaodong]'s Articles
[Xi, Yingxia]'s Articles
Baidu academic
Similar articles in Baidu academic
[Ji, Xia]'s Articles
[Liu, Xiaodong]'s Articles
[Xi, Yingxia]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Ji, Xia]'s Articles
[Liu, Xiaodong]'s Articles
[Xi, Yingxia]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.