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Finite element approximation of the Cahn-Hilliard-Cook equation

Journal article
Authors Mihaly Kovacs
Stig Larsson
Ali Mesforush
Published in SIAM Journal on Numerical Analysis
Volume 49
Issue 6
Pages 2407-2429
ISSN 0036-1429
Publication year 2011
Published at Department of Mathematical Sciences, Mathematics
Pages 2407-2429
Language en
Links dx.doi.org/10.1137/110828150
https://gup.ub.gu.se/file/74429
Keywords Cahn–Hilliard–Cook equation, additive noise, Wiener process, existence, regularity, finite element, error estimate, strong convergence
Subject categories Numerical analysis

Abstract

We study the nonlinear stochastic Cahn–Hilliard equation perturbed 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.

Page Manager: Webmaster|Last update: 9/11/2012
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