Theoretical and Numerical Analysis of a Class of Nonlinear Elliptic Equations
Résumé
In this paper we show the existence of weak solutions for a nonlinear elliptic equations with arbitrary growth of the non linearity and data measure. A numerical algorithm to compute a numerical approximation of the weak solution is discribed and analysed. In a first step a super-solution is computed using a domain decomposition method. Numerical examples are presented and commented.