Finite element approximation of a nonlinear diffusion problem

AbstractThis paper deals with the finite element approximation of the nonlinear diffusion problem: −div (\vbgrad u\vbp−2 grad u) = f. Glowinski and Marrocco[3] have been shown that the rate of convergence decreases as p increases. In this paper we show that the rate of convergence is optimal and independent of p. This theoretical result agrees with the numerical experiments reported in the last section