Finite element approximation of
the Cahn-Hilliard equation
with concentration dependent mobility
Authors:
John W. Barrett and James F. Blowey
Journal:
Math. Comp. 68 (1999), 487-517
MSC (1991):
Primary 65M60, 65M15, 35K55, 35K35, 82C26
DOI:
https://doi.org/10.1090/S0025-5718-99-01015-7
MathSciNet review:
1609678
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Abstract | References | Similar Articles | Additional Information
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:
https://doi.org/10.1090/S0025-5718-99-01015-7
Received by editor(s):
July 16, 1996
Received by editor(s) in revised form:
September 16, 1997
Article copyright:
© Copyright 1999
American Mathematical Society
