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Finite element approximation of the Cahn-Hilliard-Cook equation

Larsson, S (Chalmers)
Thursday 01 July 2010, 11:30-12.20

Seminar Room 1, Newton Institute


We study the Cahn-Hilliard equation perturbed by additive colored noise also known as the Cahn-Hilliard-Cook equation. 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. This is joint work with Mihaly Kovacs, University of Otago, New Zealand, and Ali Mesforush, Chalmers University of Technology, Sweden.


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