Numerical analysis of a model for phase separation of a multicomponent alloy.

Blowey, J.F.; Copetti, M.I.M.; Elliott, C.M.

Abstract

We consider a fully discrete implicit finite-element approximation of a model for the phase separation of a multi-component alloy. We prove existence, uniqueness and stability of the numerical solution for a sufficiently small time step. We prove convergence to the solution of the associated continuous problem. We perform a linear stability analysis of the equation and describe some numerical experiments.

Citation

Blowey, J., Copetti, M., & Elliott, C. (1996). Numerical analysis of a model for phase separation of a multicomponent alloy. IMA Journal of Numerical Analysis, 16(1), 111-139. https://doi.org/10.1093/imanum/16.1.111

• Journal Article Type: Article
• Publication Date: 1996
• Journal: IMA Journal of Numerical Analysis
• Print ISSN: 0272-4979
• Electronic ISSN: 1464-3642
• Publisher: Oxford University Press
• Peer Reviewed: Peer Reviewed
• Volume: 16
• Issue: 1
• Pages: 111-139
• DOI: https://doi.org/10.1093/imanum/16.1.111