Finite element approximation of a model for phase separation of a multi-component alloy with nonsmooth free energy and 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 nonsmooth free energy and a concentration dependent mobility matrix. 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. (1999). Finite element approximation of a model for phase separation of a multi-component alloy with nonsmooth free energy and a concentration dependent mobility matrix. Mathematical Models and Methods in Applied Sciences, 9(5), 627-663. https://doi.org/10.1142/s0218202599000336

• Journal Article Type: Article
• Publication Date: 1999-07
• Journal: Mathematical Models and Methods in Applied Sciences
• Print ISSN: 0218-2025
• Electronic ISSN: 1793-6314
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 9
• Issue: 5
• Pages: 627-663
• DOI: https://doi.org/10.1142/s0218202599000336
• Public URL: https://durham-repository.worktribe.com/output/1629461