Application of the restrained optimal perturbation method to study the backward heat conduction problem
文献类型：期刊论文
| 作者 | Wang, Bo1; Zou, Guang-an2 ; Wang, Qiang3; Wang, B; Wang, B
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2013-09-15 |
| 卷号 | 221页码:703-709 |
| 关键词 | Backward heat conduction problem The restrained optimal perturbation method Spectral projected gradient algorithm Finite difference approximation Numerical experiments |
| ISSN号 | 0096-3003 |
| 通讯作者 | Wang, B |
| 中文摘要 | In this paper, a restrained optimal perturbation method is firstly proposed to solve the backward heat conduction problem, the initial temperature distribution will be identified from the overspecified data, a regularization term is introduced in the objective functional for overcoming the ill-posedness of this problem, spectral projected gradient algorithm is used to solve the optimal problem, and we give the sensitivity analysis of the initial value. The results of numerical experiments are also presented. (C) 2013 Elsevier Inc. All rights reserved. |
| 英文摘要 | In this paper, a restrained optimal perturbation method is firstly proposed to solve the backward heat conduction problem, the initial temperature distribution will be identified from the overspecified data, a regularization term is introduced in the objective functional for overcoming the ill-posedness of this problem, spectral projected gradient algorithm is used to solve the optimal problem, and we give the sensitivity analysis of the initial value. The results of numerical experiments are also presented. (C) 2013 Elsevier Inc. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | Mathematics |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | FINITE-AMPLITUDE PERTURBATIONS ; NONLINEAR OPTIMAL PERTURBATION ; PROJECTED GRADIENT METHODS ; BOUNDARY-ELEMENT METHOD ; UNKNOWN SOURCE-TERM ; NUMERICAL-SOLUTION ; INVERSE PROBLEM ; CONVEX-SETS ; EQUATION ; SENSITIVITY |
| 收录类别 | SCI |
| 原文出处 | 10.1016/j.amc.2013.06.083 |
| 语种 | 英语 |
| WOS记录号 | WOS:000324579400066 |
| 公开日期 | 2014-07-17 |
| 源URL | [http://ir.qdio.ac.cn/handle/337002/16393]  |
| 专题 | 海洋研究所_海洋环流与波动重点实验室 |
| 通讯作者 | Wang, B; Wang, B |
| 作者单位 | 1.Henan Univ, Inst Appl Math, Kaifeng 475004, Peoples R China 2.Chinese Acad Sci, Inst Oceanol, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China 3.Peking Univ, Coll Engn, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Bo,Zou, Guang-an,Wang, Qiang,et al. Application of the restrained optimal perturbation method to study the backward heat conduction problem[J]. APPLIED MATHEMATICS AND COMPUTATION,2013,221:703-709. |
| APA | Wang, Bo,Zou, Guang-an,Wang, Qiang,Wang, B,&Wang, B.(2013).Application of the restrained optimal perturbation method to study the backward heat conduction problem.APPLIED MATHEMATICS AND COMPUTATION,221,703-709. |
| MLA | Wang, Bo,et al."Application of the restrained optimal perturbation method to study the backward heat conduction problem".APPLIED MATHEMATICS AND COMPUTATION 221(2013):703-709. |
入库方式： OAI收割
来源：海洋研究所
浏览0
下载0
收藏0
其他版本
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。