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

Blowey, J.F.; Elliott, C.M.

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.

Citation

Blowey, J., & Elliott, C. (1992). The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy Part II : numerical analysis. European Journal of Applied Mathematics, 3(2), 147-179. https://doi.org/10.1017/s0956792500000759

• Journal Article Type: Article
• Publication Date: 1992-06
• Journal: European Journal of Applied Mathematics
• Print ISSN: 0956-7925
• Electronic ISSN: 1469-4425
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• Volume: 3
• Issue: 2
• Pages: 147-179
• DOI: https://doi.org/10.1017/s0956792500000759
• Public URL: https://durham-repository.worktribe.com/output/1629432