Year: 2009
Author: Liping Liu, Min Huang, Kewei Yuan, Michal Křížek
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 1 : pp. 125–139
Abstract
In this paper, we are concerned with the numerical approximation of a steady-state heat radiation problem with a nonlinear Stefan-Boltzmann boundary condition in $\mathbb{R}^3$. We first derive an equivalent minimization problem and then present a finite element analysis to the solution of such a minimization problem. Moreover, we apply the Newton iterative method for solving the nonlinear equation resulting from the minimization problem. A numerical example is given to illustrate theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-AAMM-212
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 1 : pp. 125–139
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Heat radiation problem Stefan-Boltzmann condition Newton iterative method.