Landweber Iterative Regularization Method for Identifying Unknown Source for the Biharmonic Equation

doi:10.1007/s40995-021-01189-y

IR > 理学院

	Landweber Iterative Regularization Method for Identifying Unknown Source for the Biharmonic Equation
	Yang, Fan; Wang, Qian-Chao; Li, Xiao-Xiao
	2021-12
发表期刊	IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
ISSN	1028-6276
卷号	45 期号:6 页码:2029-2040
摘要	In this paper, we study the inverse problem of identifying unknown sources for nonhomogeneous Biharmonic Equations in bounded domain. It shows that the problem is ill-posed. We use Landweber iterative regularization method to recover the ill-posed solution and give the convergence estimates under the priori and posteriori regularization parameter selection rules. Finally, several numerical examples are given to show the effectiveness and stability of this method.
关键词	Biharmonic equation Inverse problem Identifying unkown source Landweber iterative regularization method
DOI	10.1007/s40995-021-01189-y
收录类别	SCOPUS ; SCIE
语种	英语
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000680793800001
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
来源库	WOS
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/148590
专题	理学院
通讯作者	Yang, Fan
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
推荐引用方式 GB/T 7714	Yang, Fan,Wang, Qian-Chao,Li, Xiao-Xiao. Landweber Iterative Regularization Method for Identifying Unknown Source for the Biharmonic Equation[J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE,2021,45(6):2029-2040.
APA	Yang, Fan,Wang, Qian-Chao,&Li, Xiao-Xiao.(2021).Landweber Iterative Regularization Method for Identifying Unknown Source for the Biharmonic Equation.IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE,45(6),2029-2040.
MLA	Yang, Fan,et al."Landweber Iterative Regularization Method for Identifying Unknown Source for the Biharmonic Equation".IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE 45.6(2021):2029-2040.