On a radially symmetric inverse heat conduction problem |
| |
Authors: | Xiang-Tuan Xiong |
| |
Institution: | aCollege of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, People’s Republic of China;bSchool of Mathematical Science, Fudan University, Shanghai 200433, People’s Republic of China |
| |
Abstract: | In this paper, we treat an inverse problem for a radially symmetric heat equation, which arises from non-destructive evaluation by thermal imaging. The problem can also be considered as an inverse heat conduction problem. Based on a weighted energy method, we give a conditional stability estimate. A feasible regularization method is provided for numerical simulation. The reconstruction experiment is done for verifying the efficiency of the regularization method. |
| |
Keywords: | Ill-posed problem Cauchy problem Regularization Stability estimate Hankel function |
本文献已被 ScienceDirect 等数据库收录! |
|