A mollification regularization method for the inverse spatial-dependent heat source problem | |
Yang, Fan1,2; Fu, Chu-Li1 | |
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. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论