Volume 1, Issue 1
Numerical Approximation of a Nonlinear 3D Heat Radiation Problem

Liping Liu ,  Min Huang ,  Kewei Yuan and Michal Křížek

Adv. Appl. Math. Mech., 1 (2009), pp. 125-139.

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  • 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 R3. 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

  • History

Published online: 2009-01

  • AMS Subject Headings

65N30

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