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The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis

Published online by Cambridge University Press:  16 July 2009

J. F. Blowey  and
C. M. Elliott
J. F. Blowey
Affiliation:
School of Mathemetical and Physical Sciences, University of Sussex, Brighton BN1 9QH, UK
C. M. Elliott
Affiliation:
School of Mathemetical and Physical Sciences, University of Sussex, Brighton BN1 9QH, UK
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Abstract

In this paper we consider the numerical analysis of a parabolic variational inequality arising from a deep quench limit of a model for phase separation in a binary mixture due to Cahn and Hilliard. Stability, convergence and error bounds for a finite element approximation are proven. Numerical simulations in one and two space dimensions are presented.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 3 , Issue 2 , June 1992 , pp. 147 - 179
Copyright
Copyright © Cambridge University Press 1992

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