Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain

doi:10.1080/17415977.2017.1384825

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	Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain
	Yang, Fan; Ren, Yu-Peng; Li, Xiao-Xiao
刊名	INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
	2018
卷号	26 期号:8 页码:1109-1129
关键词	Inverse problem identifying the unknown source ill-posed problem regularization method columnar symmetric domain
ISSN号	1741-5977
DOI	10.1080/17415977.2017.1384825
英文摘要	In this paper, an inverse source problem for the Helium Production-Diffusion Equation on a columnar symmetric domain is investigated. Based on an a priori assumption, the optimal error bound analysis and a conditional stability result are given. This problem is ill-posed and Landweber iteration regularization method is used to deal with this problem. Convergence estimates are presented under the priori and the posteriori regularization choice rules. For the a priori and the a posteriori regularization parameters choice rules, the convergence error estimates are all order optimal. Numerical examples are given to show that the regularization method is effective and stable for dealing with this ill-posed problem.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000432279800003
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32852]
专题	理学院
通讯作者	Yang, Fan
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Yang, Fan,Ren, Yu-Peng,Li, Xiao-Xiao. Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain[J]. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING,2018,26(8):1109-1129.
APA	Yang, Fan,Ren, Yu-Peng,&Li, Xiao-Xiao.(2018).Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain.INVERSE PROBLEMS IN SCIENCE AND ENGINEERING,26(8),1109-1129.
MLA	Yang, Fan,et al."Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain".INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 26.8(2018):1109-1129.