A posteriori regularization method for the two-dimensional inverse heat conduction problem

被引：0
|
作者：
Cheng, Wei [1 ]
Liu, Yi-Liang [2 ]
Zhao, Qi [1 ]
机构：
[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China
[2] Nanhang Jincheng Coll, Sch Air Transport & Engn, Nanjing 211156, Peoples R China
来源：
OPEN MATHEMATICS | 2022年 / 20卷 / 01期
基金：
中国国家自然科学基金;
关键词：
ill-posed problem; inverse heat conduction problem; regularization; a posteriori parameter choice strategy; error estimate; BOUNDARY VALUE METHOD; PARABOLIC EQUATIONS BACKWARD; PARAMETER CHOICE; CAUCHY-PROBLEM; WAVELET; TIME; TIKHONOV;
D O I：
10.1515/math-2022-0489
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we consider a two-dimensional inverse heat conduction problem that determines the surface temperature distribution from measured data at the fixed location. This problem is severely ill-posed, i.e., the solution does not depend continuously on the data. A quasi-boundary value regularization method in conjunction with the a posteriori parameter choice strategy is proposed to solve the problem. A Holder-type error estimate between the approximate solution and its exact solution is also given. The error estimate shows that the regularized solution is dependent continuously on the data.
引用
收藏
页码：1030 / 1038
页数：9
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