Application of the restrained optimal perturbation method to study the backward heat conduction problem

doi:10.1016/j.amc.2013.06.083

IOCAS-IR > 海洋环流与波动重点实验室

	Application of the restrained optimal perturbation method to study the backward heat conduction problem
	Wang, Bo 1; Zou, Guang-an2 ; Wang, Qiang 3; Wang, B
	2013-09-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	221 页码:703-709
文章类型	Article
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.; 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.
关键词	Backward Heat Conduction Problem The Restrained Optimal Perturbation Method Spectral Projected Gradient Algorithm Finite Difference Approximation Numerical Experiments
学科领域	Mathematics
DOI	10.1016/j.amc.2013.06.083
URL	查看原文
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000324579400066
WOS关键词	FINITE-AMPLITUDE PERTURBATIONS ; NONLINEAR OPTIMAL PERTURBATION ; PROJECTED GRADIENT METHODS ; BOUNDARY-ELEMENT METHOD ; UNKNOWN SOURCE-TERM ; NUMERICAL-SOLUTION ; INVERSE PROBLEM ; CONVEX-SETS ; EQUATION ; SENSITIVITY
WOS标题词	Science & Technology ; Physical Sciences
引用统计
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/16393
专题	海洋环流与波动重点实验室
通讯作者	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.(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.

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