The numerical solution of some elliptic nonscalar problems with nonlinear discontinuities

This paper is devoted to the numerical solution of some semilinear elliptic systems with nonlinear discontinuities. The motivation is the modelling of single, irreversible, nonisothermic stationary reactions of zero order. The numerical solution is achieved through an iterative procedure. This uses exact regularization. We justify the convergence of the algorithm and, also, we present some numerical results.