A Newton type iterative method for heat-conduction inverse problems

被引：4
|
作者：
He Guo-qiang [1 ]
Meng Ze-hong [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2007年 / 28卷 / 04期
关键词：
inverse problems; nonlinear ill-posed operator equations; Newton type method; implicit iterative method; iteration stopping rule;
D O I：
10.1007/s10483-007-0414-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An inverse problem for identification of the coefficient in heat-conduction equatiou is considered. After reducing the problem to a nonlinear ill-posed operator equation, Newton type iterative methods are considered. The implicit iterative method is applied to the linearized Newton equation, and the key step in the process is that a new reasonable a posteriori stopping rule for the inner iteration is presented. Numerical experiments for the new method as well as for Tikhonov method and Bakushikskii method are given, and these results show the obvious advantages of the new method over the other ones.
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页码：531 / 539
页数：9
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