A mollification regularization method for identifying the time-dependent heat source problem

doi:10.1007/s10665-015-9834-6

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	A mollification regularization method for identifying the time-dependent heat source problem
	Yang, Fan 1,2; Fu, Chu-Li 2; Li, Xiao-Xiao 1
刊名	JOURNAL OF ENGINEERING MATHEMATICS
	2016-10
卷号	100 期号:1 页码:67-80
关键词	A posteriori parameter choice Error estimate Identifying time-dependent source Ill-posedness Inverse source problem Mollification methods Parabolic equation
ISSN号	0022-0833
DOI	10.1007/s10665-015-9834-6
英文摘要	We study in this paper the problem of determining time-dependent source functions in a parabolic equation with data given at some fixed locations in the domain. To solve this ill-posed inverse problem, we develop a mollification regularization method with a Gaussian kernel. We derive an a priori error estimate between the exact solution and its regularized approximation. Moreover, we propose an a posteriori parameter choice strategy for the selection of the regularization strength and derive an error estimate associated with the strategy. Numerical results are presented to illustrate the accuracy and efficiency of our method.
资助项目	Natural Science Foundation of Gansu Province of China[1112RJZA018]
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000383602800004
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/33583]
专题	理学院
通讯作者	Yang, Fan
作者单位	1.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Yang, Fan,Fu, Chu-Li,Li, Xiao-Xiao. A mollification regularization method for identifying the time-dependent heat source problem[J]. JOURNAL OF ENGINEERING MATHEMATICS,2016,100(1):67-80.
APA	Yang, Fan,Fu, Chu-Li,&Li, Xiao-Xiao.(2016).A mollification regularization method for identifying the time-dependent heat source problem.JOURNAL OF ENGINEERING MATHEMATICS,100(1),67-80.
MLA	Yang, Fan,et al."A mollification regularization method for identifying the time-dependent heat source problem".JOURNAL OF ENGINEERING MATHEMATICS 100.1(2016):67-80.