Optimal L∞-error estimate for variational inequalities with nonlinear source terms

We establish optimal L-infinity-error estimate for a class of variational inequalities (VIs) with nonlinear source term, using a very simple argument mainly based on the discrete L-infinity-stability property with respect to the right-hand side in elliptic VIs. We also show that the same approach extends to the corresponding noncoercive problems and optimal uniform convergence order is obtained as well. (C) 2002 Elsevier Science Ltd. All rights reserved.