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

doi:10.1007/s40995-021-01189-y

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	Landweber Iterative Regularization Method for Identifying Unknown Source for the Biharmonic Equation
	Yang, Fan; Wang, Qian-Chao; Li, Xiao-Xiao
刊名	IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
	2021-08
卷号	45 期号:6 页码:2029-2040
关键词	Biharmonic equation Inverse problem Identifying unkown source Landweber iterative regularization method
ISSN号	1028-6276
DOI	10.1007/s40995-021-01189-y
英文摘要	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.
WOS研究方向	Science & Technology - Other Topics
语种	英语
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
WOS记录号	WOS:000680793800001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148590]
专题	理学院
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
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.