Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-29T02:36:06.410Z Has data issue: false hasContentIssue false
  • English
  • Français

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. [email protected].
James F. Blowey
Affiliation:
Department of Mathematical Sciences, South Road, Durham, DH1 3LE, United Kingdom.
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)