THE KACANOV METHOD FOR SOME NONLINEAR PROBLEMS

The Kacanov method is an iteration method for solving some nonlinear p artial differential equation problems. In each iteration, a linear pro blem is solved. In this paper, we discuss the use of the Kacanov metho d in the context of two model problems. We show the convergence of the Kacanov iteration sequences, and derive a posteriori error estimates for the Kacanov iterates. Numerical examples are given showing the con vergence of the method and the effectiveness of the a posteriori error estimates. (C) 1997 Elsevier Science B.V.