@Article{AAMM-1-1,
author = {Liu, Liping and Min, Huang and Yuan, Kewei and Michal, Křížek},
title = {Numerical Approximation of a Nonlinear 3D Heat Radiation Problem},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2009},
volume = {1},
number = {1},
pages = {125--139},
abstract = {<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>},
issn = {2075-1354},
doi = {https://doi.org/2009-AAMM-212},
url = {https://global-sci.com/article/73677/numerical-approximation-of-a-nonlinear-3d-heat-radiation-problem}
}