IDENTIFICATION OF POINT-LIKE OBJECTS WITH MULTIFREQUENCY SPARSE DATA

doi:10.1137/20M1312551

CSpace > 应用数学研究所

	IDENTIFICATION OF POINT-LIKE OBJECTS WITH MULTIFREQUENCY SPARSE DATA
	Ji, Xia 1,2; Liu, Xiaodong3,4
	2020
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	42 期号:4 页码:A2325-A2343
摘要	The inverse acoustic scattering of point objects using multifrequency sparse measurements is studied. The objects may be a sum of point sources or point-like scatterers. We show that the locations and scattering strengths of the point objects can be uniquely identified by the multifrequency near or far fields taken at sparse sensors. Based on the uniqueness analysis, some direct methods have also been proposed for reconstructing the locations and determining the scattering strengths. The numerical examples are conducted to show the validity and robustness of the proposed numerical methods.
关键词	inverse scattering multifrequency sparse data uniqueness sampling method
DOI	10.1137/20M1312551
收录类别	SCI
语种	英语
资助项目	NSFC[11971471] ; CAS Youth Innovation Promotion
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000568184400017
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52143
专题	应用数学研究所
通讯作者	Ji, Xia
作者单位	1.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 2.Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 100081, Peoples R China 3.Chinese Acad Sci, NCMIS, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ji, Xia,Liu, Xiaodong. IDENTIFICATION OF POINT-LIKE OBJECTS WITH MULTIFREQUENCY SPARSE DATA[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2020,42(4):A2325-A2343.
APA	Ji, Xia,&Liu, Xiaodong.(2020).IDENTIFICATION OF POINT-LIKE OBJECTS WITH MULTIFREQUENCY SPARSE DATA.SIAM JOURNAL ON SCIENTIFIC COMPUTING,42(4),A2325-A2343.
MLA	Ji, Xia,et al."IDENTIFICATION OF POINT-LIKE OBJECTS WITH MULTIFREQUENCY SPARSE DATA".SIAM JOURNAL ON SCIENTIFIC COMPUTING 42.4(2020):A2325-A2343.