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

页码：1030 / 1038

页数：9

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