Finite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix,

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

Abstract

We consider a model for phase separation of a multi-component alloy with a concentration-dependent mobility matrix and logarithmic free energy. In particular we prove that there exists a unique solution for sufficiently smooth initial data. Further, we prove an error bound for a fully practical piecewise linear finite element approximation in one and two space dimensions. Finally numerical experiments with three components in one space dimension are presented.

Citation

Blowey, J., & Barrett, J. (1998). Finite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix,. IMA Journal of Numerical Analysis, 18(2), 287-328. https://doi.org/10.1093/imanum/18.2.287

• Journal Article Type: Article
• Publication Date: 1998
• Journal: IMA Journal of Numerical Analysis
• Print ISSN: 0272-4979
• Electronic ISSN: 1464-3642
• Publisher: Oxford University Press
• Peer Reviewed: Peer Reviewed
• Volume: 18
• Issue: 2
• Pages: 287-328
• DOI: https://doi.org/10.1093/imanum/18.2.287
• Public URL: https://durham-repository.worktribe.com/output/1629444