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

Authors
Barrett, JW Blowey, JF
Citation
Jw. Barrett et Jf. Blowey, 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, RAIRO-M MOD, 33(5), 1999, pp. 971-987
Citations number
5
Categorie Soggetti
Mathematics
Journal title
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
33
Issue
5
Year of publication
1999
Pages
971 - 987
Database
ISI
SICI code
0764-583X(199909/10)33:5<971:AOEBFA>2.0.ZU;2-Z
Abstract
Using the approach in [5] for analysing time discretization error and assum ing more regularity on the initial data, we improve on the error bound deri ved in [2] for a fully practical piecewise linear finite element approximat ion with a backward Euler time discretization of a model for phase separati on of a multi-component alloy with non-smooth free energy. AMS Subject Clas sification. 65M60, 65M15, 35K55, 35K35.