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