The truncation method for identifying an unknown source in the Poisson equation

doi:10.1016/j.amc.2011.04.017

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	The truncation method for identifying an unknown source in the Poisson equation
	Yang, Fan
	2011-07-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	217 期号:22 页码:9334-9339
摘要	This paper deals with the problem of determining an unknown source which depends only on one variable in two-dimensional Poisson equation, with the aid of an extra measurement at an internal point. The problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data. We obtain the regularization solution by the truncation method. For the regularization solution, the Holder type stability estimate between the regularization solution and the exact solution is given. Numerical results are presented to illustrate the accuracy and efficiency of this method. (C) 2011 Elsevier Inc. All rights reserved.
关键词	Ill-posed problem Unknown source Truncation method Identification Regularization Poisson equation
DOI	10.1016/j.amc.2011.04.017
收录类别	SCI ; SCIE
语种	英语
资助项目	Lan Zhou University of Technology[Q201015]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000290902600045
出版者	ELSEVIER SCIENCE INC
EI入藏号	20112214012501
EI主题词	Poisson equation
EI分类号	731.1 Control Systems - 921.2 Calculus - 921.6 Numerical Methods
引用统计	被引频次：20[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/35075
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. The truncation method for identifying an unknown source in the Poisson equation[J]. APPLIED MATHEMATICS AND COMPUTATION,2011,217(22):9334-9339.
APA	Yang, Fan.(2011).The truncation method for identifying an unknown source in the Poisson equation.APPLIED MATHEMATICS AND COMPUTATION,217(22),9334-9339.
MLA	Yang, Fan."The truncation method for identifying an unknown source in the Poisson equation".APPLIED MATHEMATICS AND COMPUTATION 217.22(2011):9334-9339.