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A class of time discrete schemes for a phase–field system of Penrose–Fife type

Published online by Cambridge University Press:  15 August 2002

Olaf Klein
Olaf Klein*
Affiliation:
Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, 10117 Berlin, Germany. klein@wias-berlin.de.
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Abstract

In this paper, a phase field system of Penrose–Fife type with non–conserved order parameter is considered. A class of time–discrete schemes for an initial–boundary value problem for this phase–field system is presented. In three space dimensions, convergence is proved and an error estimate linear with respect to the time–step size is derived.

Keywords

Phase–field modelPenrose–Fife modelsemidiscretizationconvergenceerror estimates.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 6 , November 1999 , pp. 1261 - 1292
Copyright
© EDP Sciences, SMAI, 1999

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