Finite element approximation of the Cahn-Hilliard-Cook equation
Journal article, 2011
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.
error estimate
Wiener process
regularity
existence
additive noise
Cahn–Hilliard–Cook equation
strong convergence
finite element
Author
Mihaly Kovacs
University of Otago
Stig Larsson
University of Gothenburg
Chalmers, Mathematical Sciences, Mathematics
Ali Mesforush
Shahrood University of Technology
SIAM Journal on Numerical Analysis
0036-1429 (ISSN) 1095-7170 (eISSN)
Vol. 49 6 2407-2429Subject Categories
Computational Mathematics
Roots
Basic sciences
DOI
10.1137/110828150