Finite Element Approximation of the Cahn-Hilliard-Cook equation
arXiv:2608.16680 · doi:10.1137/110828150
Abstract
We study the nonlinear stochastic Cahn-Hilliard equation per- turbed by additive colored noise. We show almost sure existence and regularity of solutions. We introduce spatial approximation by a standard finite element method and prove error estimates of optimal order on sets of probability arbitrarily close to 1. We also prove strong convergence without known rate.