A mollification regularization method for the inverse spatial-dependent heat source problem

doi:10.1016/j.cam.2013.06.012

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	A mollification regularization method for the inverse spatial-dependent heat source problem
	Yang, Fan 1,2; Fu, Chu-Li 1
刊名	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
	2014-01
卷号	255 页码:555-567
关键词	Spatial-dependent heat source Mollification method A posteriori parameter choice Error estimate
ISSN号	0377-0427
DOI	10.1016/j.cam.2013.06.012
英文摘要	In this paper, we consider the inverse problem of determining a heat source in a parabolic equation where data are given at a fixed time. This problem is ill-posed, i.e., the solution (if it exists) does not depend continuously on the data. The mollification method with Gauss kernel is proposed to solve this problem. An a priori error estimate between the exact solution and its regularized approximation is obtained. Moreover, we also propose a new a posteriori parameter choice rule and get a good error estimate. Numerical results for several benchmark test problems indicate that the method is an accurate and flexible method to determine the unknown spatial-dependent heat source. (C) 2013 Elsevier B.V. All rights reserved.
资助项目	Distinguished Young Scholars Fund of Lan Zhou University of Technology[Q201015]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000326201800043
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/34529]
专题	理学院
通讯作者	Fu, Chu-Li
作者单位	1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Yang, Fan,Fu, Chu-Li. A mollification regularization method for the inverse spatial-dependent heat source problem[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2014,255:555-567.
APA	Yang, Fan,&Fu, Chu-Li.(2014).A mollification regularization method for the inverse spatial-dependent heat source problem.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,255,555-567.
MLA	Yang, Fan,et al."A mollification regularization method for the inverse spatial-dependent heat source problem".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 255(2014):555-567.