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phase separation.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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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
John W. Barrett, James F. Blowey
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 33 / Issue 5 / September 1999

Published online by Cambridge University Press:

15 August 2002, pp. 971-987

Print publication:

September 1999
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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.