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An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy

Published online by Cambridge University Press:  15 August 2002

John W. Barrett  and
James F. Blowey
John W. Barrett
Affiliation:
Department of Mathematics, Imperial College, London, SW7 2BZ, United Kingdom. j.barrett@ic.ac.uk.
James F. Blowey
Affiliation:
Department of Mathematical Sciences, South Road, Durham, DH1 3LE, United Kingdom.
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Abstract

Using the approach in [5] for analysingtime discretization error and assuming more regularity on the initial data, we improve onthe error bound derived in [2] for a fully practical piecewise linear finite element approximation with a backward Euler time discretization of a model for phase separation of a multi-component alloy withnon-smooth free energy.

Keywords

Finite elementserror analysisCahn-Hilliardphase separation.

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 5 , September 1999 , pp. 971 - 987
Copyright
© EDP Sciences, SMAI, 1999

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