An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy.

Blowey, J.F.; Barrett, J.W.

Abstract

Using the approach of Rulla (1996 SIAM J. Numer. Anal. 33, 68-87) for analysing the time discretization error and assuming more regularity on the initial data, we improve on the error bound derived by Barrett and Blowey (1996 IMA J. Numer. Anal. 16, 257-287) 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.

Citation

Blowey, J., & Barrett, J. (1999). An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy. IMA Journal of Numerical Analysis, 19(1), 147-168. https://doi.org/10.1093/imanum/19.1.147

• Journal Article Type: Article
• Publication Date: 1999-01
• Journal: IMA Journal of Numerical Analysis
• Print ISSN: 0272-4979
• Electronic ISSN: 1464-3642
• Publisher: Oxford University Press
• Peer Reviewed: Peer Reviewed
• Volume: 19
• Issue: 1
• Pages: 147-168
• DOI: https://doi.org/10.1093/imanum/19.1.147
• Public URL: https://durham-repository.worktribe.com/output/1599414