| Issue |
ESAIM: M2AN
Volume 33, Number 5, September October 1999
|
|
|---|---|---|
| Page(s) | 971 - 987 | |
| DOI | https://doi.org/10.1051/m2an:1999129 | |
| Published online | 15 August 2002 | |
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
1
Department of Mathematics, Imperial College, London,
SW7 2BZ, United Kingdom. j.barrett@ic.ac.uk.
2
Department of Mathematical Sciences, South Road,
Durham, DH1 3LE, United Kingdom.
Received:
6
March
1998
Using the approach in [5] for analysing time discretization error and assuming more regularity on the initial data, we improve on the 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 with non-smooth free energy.
Mathematics Subject Classification: 65M60 / 65M15 / 35K55 / 35K35
Key words: Finite elements / error analysis / Cahn-Hilliard / phase separation.
© EDP Sciences, SMAI, 1999
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