Finite Element Approximation of the Cahn-Hilliard-Cook equation
Ali Mesforush, Stig Larsson, Mihály Kovács
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.
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