Summary.
A model for the phase separation of a multi-component alloy with non-smooth free energy is considered. An error bound is proved for a fully practical piecewise linear finite element approximation using a backward Euler time discretization. An iterative scheme for solving the resulting nonlinear algebraic system is analysed. Finally numerical experiments with three components in one and two space dimensions are presented. In the one dimensional case we compare some steady states obtained numerically with the corresponding stationary solutions of the continuous problem, which we construct explicitly.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received September 28, 1995 / Revised version received May 6, 1996
Rights and permissions
About this article
Cite this article
Barrett, J., Blowey, J. Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy. Numer. Math. 77, 1–34 (1997). https://doi.org/10.1007/s002110050276
Issue Date:
DOI: https://doi.org/10.1007/s002110050276