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 IR^(3).We first derive an equivalent minimization probl...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 IR^(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.展开更多
文摘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 IR^(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.
