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

doi:10.1016/j.amc.2013.06.083

CORC > 北京大学 > 工学院

	Application of the restrained optimal perturbation method to study the backward heat conduction problem
	Wang, Bo ; Zou, Guang-an ; Wang, Qiang
刊名	applied mathematics and computation
	2013
关键词	Backward heat conduction problem The restrained optimal perturbation method Spectral projected gradient algorithm Finite difference approximation Numerical experiments FINITE-AMPLITUDE PERTURBATIONS NONLINEAR OPTIMAL PERTURBATION PROJECTED GRADIENT METHODS BOUNDARY-ELEMENT METHOD UNKNOWN SOURCE-TERM NUMERICAL-SOLUTION INVERSE PROBLEM CONVEX-SETS EQUATION SENSITIVITY
DOI	10.1016/j.amc.2013.06.083
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.; Mathematics, Applied; SCI(E); EI; 0; ARTICLE; 703-709; 221
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/220480]
专题	工学院
推荐引用方式 GB/T 7714	Wang, Bo,Zou, Guang-an,Wang, Qiang. Application of the restrained optimal perturbation method to study the backward heat conduction problem[J]. applied mathematics and computation,2013.
APA	Wang, Bo,Zou, Guang-an,&Wang, Qiang.(2013).Application of the restrained optimal perturbation method to study the backward heat conduction problem.applied mathematics and computation.
MLA	Wang, Bo,et al."Application of the restrained optimal perturbation method to study the backward heat conduction problem".applied mathematics and computation (2013).