A boundary element method for a nonlinear boundary value problem in steady-state heat transfer in dimension three (Q1377181)

This paper considers the nonlinear modelling of steady-state heat transfer with radiation. The nonlinear boundary value problem in dimension three is reduced to a new boundary variation problem. A boundary element approximation of this problem is given and the rate of convergence of the approximation solution is obtained. Finally, it is pointed out that it is impossible to obtain the same convergence degree as in dimension two.