TY - JOUR
T1 - Numerical Approximation of a Nonlinear 3D Heat Radiation Problem
AU - Liu , Liping
AU - Huang , Min
AU - Yuan , Kewei
AU - Křížek , Michal
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 125
EP - 139
PY - 2009
DA - 2009/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aamm/212.html
KW - Heat radiation problem, Stefan-Boltzmann condition, Newton iterative method.
AB - <p style="text-align: justify;">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&nbsp;$\mathbb{R}^3$. 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.</p>