| Abstract: | We present a scheme for solving two‐dimensional, nonlinear reaction‐diffusion equations,  using a mixed finite‐element method. To linearize the mixed‐method equations, we use a two grid scheme that relegates all the Newton‐like iterations to a grid ΔH much coarser than the original one Δh, with no loss in order of accuracy so long as the mesh sizes obey  . The use of a multigrid‐based solver for the indefinite linear systems that arise at each coarse‐grid iteration, as well as for the similar system that arises on the fine grid, allows for even greater efficiency. © 1999 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 15: 317–332, 1999 |
