Finite element solutions for radiation cooling problems with nonlinear boundary conditions
نویسندگان
چکیده
We consider a finite element method for the elhptic problem &u = 0 in Q, with the nonhnear boundary conditions ^ = g(x, u) on T dv It is shown that thefinite element solutions converge to the exact solution under some appropriate hypotheses We also give some results of numencal experiment s in the two dimensional case Résume — Nous considérons une méthode d'éléments finis pour le problème elliptique <fu = 0 dans Q, avec des conditions aux limites non linéaires — = g(x, u) sur T ôv II est montre que les solutions obtenues par éléments finis convergent vers la_solution exactes-ous des hypotheses convenables On donne des résultats d*expériences numériques dans le cadre bidimensionnel (*) Received on Apnl 1985 l) Department of Mathematics, Kyushu Institute of Technology, Tobata, Kitakyushu 804, Japan M AN Modélisation mathématique et Analyse numérique 0399-0516/86/03/461/17/$ 3 70 Mathematical Modelhng and Numencal Analysis © AFCET Gauthier-Villars
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