Professor James Blowey j.f.blowey@durham.ac.uk
Deputy Exec Dean & Dir Of Natural Scs
Professor James Blowey j.f.blowey@durham.ac.uk
Deputy Exec Dean & Dir Of Natural Scs
J.W. Barrett
We consider the Cahn-Hilliard equation with a logarithmic free energy and non-degenerate concentration dependent mobility. In particular we prove that there exists a unique solution for sufficiently smooth initial data. Further, we prove an error bound for a fully practical piecewise linear finite element approximation in one and two space dimensions. Finally some numerical experiments are presented.
Blowey, J., & Barrett, J. (1999). Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility,. Mathematics of Computation, 68(226), 487-517. https://doi.org/10.1090/s0025-5718-99-01015-7
Journal Article Type | Article |
---|---|
Publication Date | 1999 |
Journal | Mathematics of Computation |
Print ISSN | 0025-5718 |
Electronic ISSN | 1088-6842 |
Publisher | American Mathematical Society |
Peer Reviewed | Peer Reviewed |
Volume | 68 |
Issue | 226 |
Pages | 487-517 |
DOI | https://doi.org/10.1090/s0025-5718-99-01015-7 |
Public URL | https://durham-repository.worktribe.com/output/1623120 |
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