A numerical algorithm for nonlinear parabolic equations with highly oscillating coefficients

A numerical algorithm is constructed for the solution to a class of nonlinear parabolic operators in the case of homogenization. We consider parabolic operators of the form d/dt + A_ϵ, where A_ϵ is monotone. More precisely, we consider the case when A_ϵu=−div (a(x/ϵ, e/ϵ^k) |Du|^p−2Du), where p≥2 and k>0. © 1996 John Wiley & Sons, Inc.