NEW NONLINEAR MULTIGRID ANALYSIS

                                  DEXUAN XIE
                          Department of Mathematics
                            University of Houston
                            Houston, TX 77204-3476
                           E-mail: xie@math.uh.edu

                                  Abstract.

The nonlinear multigrid is an efficient algorithm for solving the system of
nonlinear equations arising from the numerical discretization of nonlinear
elliptic boundary problems [7], [8].  The purpose of this paper is to provide
a new nonlinear multigrid analysis as an extension of the linear multigrid
theory presented by Bramble, et al. in [5], [6] and [16].