A REGULARIZED GMRES METHOD FOR INVERSE BLACKBODY RADIATION PROBLEM

作者：Wu, Jieer; Ma, Zheshu^*

来源：Thermal Science, 2013, 17(3): 847-852.

DOI：10.2298/TSCI110316078W

• blackbody radiation
• inverse problem
• generalized minimal residual method
• regularization

The inverse blackbody radiation problem is focused on determining temperature distribution of a blackbody from measured total radiated power spectrum. This problem consists of solving a first kind of Fredholm integral equation and many numerical methods have been proposed. In this paper, a regularized generalized minimal residual method is presented to solve the linear ill-posed problem caused by the discretization of such an integral equation. This method projects the original problem onto a lower dimensional subspaces by the Arnoldi process. Tikhonov regularization combined with the generalized cros validation criterion is applied to stabilize the numerical iteration process. Three numerical examples indicate the effectiveness of the regularized generalized minimal residual method.

• 出版日期2013
• 单位江苏科技大学