Identification of parameters in the 2-D IHCP

被引：9
|
作者：
Coles, C [1 ]
Murio, DA [1 ]
机构：
[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 40卷 / 8-9期
关键词：
identification of parameters; mollification; finite differences; automatic filtering;
D O I：
10.1016/S0898-1221(00)85005-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a numerical marching scheme, based on mollification and the general cross validation methods, to determine the diffusivity coefficient, as well as the temperature and heat flux histories, in the two-dimensional inverse heat conduction problem when noisy data at the active boundary and the initial measured temperature distribution are given. No information about the quality and/or quantity of the noise is assumed. A proof of stability and convergence of the algorithm, together with several numerical examples, are provided. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：939 / 956
页数：18
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