An optimal modified method for a two-dimensional inverse heat conduction problem

被引：10

作者：

Qian, Zhi ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 02期

基金：

中国博士后科学基金;

关键词：

convergence of numerical methods; heat conduction; inverse problems; ILL-POSED PROBLEMS; EQUATION;

D O I：

10.1063/1.3072918

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a two-dimensional inverse heat conduction problem which is severely ill-posed, i.e., the solution (if it exists) does not depend continuously on the data. From the frequency domain, we propose an optimal modified method to solve the problem in the presence of noisy data. We give and prove the optimal convergence estimate, which shows that the regularized solution is dependent continuously on the data and is an approximation of the exact solution of the two-dimensional inverse heat conduction problem.

引用

页数：9

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