Open AccessA regularized GMRES method for inverse blackbody radiation problem
Author(s) -
Jieer Wu,
Zheshu Ma
Publication year - 2013
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci110316078w
Subject(s) - generalized minimal residual method , tikhonov regularization , black body radiation , discretization , fredholm integral equation , regularization (linguistics) , integral equation , mathematics , inverse problem , iterative method , mathematical analysis , mathematical optimization , radiation , computer science , physics , optics , artificial intelligence
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 GMRES method is presented to solve the linear ill-posed problem caused by the discretization of such an integral equation. This method projects the orignal problem onto a lower dimensional subspaces by the Arnoldi process. Tikhonov regularization combined with GCV criterion is applied to stabilize the numerical iteration process. Three numerical examples indicate the effectiveness of the regularized GMRES method