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Journal of the American Mathematical Society
ISSN 1088-6842(e) ISSN 0025-5718(p)
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Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility

Author(s): John W. Barrett; James F. Blowey.
Journal: Math. Comp. 68 (1999), 487-517.
MSC (1991): Primary 65M60, 65M15, 35K55, 35K35, 82C26
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Abstract: 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.

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Additional Information:

John W. Barrett
Affiliation: Department of Mathematics, Imperial College, London SW7 2BZ, U.K.
Email: j.barrett@ic.ac.uk

James F. Blowey
Affiliation: Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, U.K.
Email: j.f.blowey@durham.ac.uk

DOI: 10.1090/S0025-5718-99-01015-7
PII: S 0025-5718(99)01015-7
Received by editor(s): July 16, 1996
Received by editor(s) in revised form: September 16, 1997
Copyright of article: Copyright 1999, American Mathematical Society

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