THERMAL SCIENCE

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Jieer Wu

,

Zheshu Ma

A REGULARIZED GMRES METHOD FOR INVERSE BLACKBODY RADIATION PROBLEM

ABSTRACT
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.
KEYWORDS
blackbody radiation, inverse problem, GMRES method, regularization
PAPER SUBMITTED: 2011-03-16
PAPER REVISED: 2012-04-19
PAPER ACCEPTED: 1970-01-01
DOI REFERENCE: https://doi.org/10.2298/TSCI110316078W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 3, PAGES [847 - 852]
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A regularized GMRES method for inverse blackbody radiation problem

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence