An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy.

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

Abstract

Using the approach in [5] for analysing time discretization error and assuming more regularity on the initial data, we improve on the 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 with non-smooth free energy.

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 with non-smooth free energy. ESAIM: Mathematical Modelling and Numerical Analysis, 33(5), 971-987. https://doi.org/10.1051/m2an%3A1999129

• Journal Article Type: Article
• Publication Date: 1999-09
• Journal: Modélisation Mathématique et Analyse Numérique.
• Print ISSN: 0764-583X
• Electronic ISSN: 1290-3841
• Publisher: EDP Sciences
• Peer Reviewed: Peer Reviewed
• Volume: 33
• Issue: 5
• Pages: 971-987
• DOI: https://doi.org/10.1051/m2an%3A1999129
• Keywords: Finite elements, Error analysis, Cahn-Hilliard, Phase separation.
• Public URL: https://durham-repository.worktribe.com/output/1623106