Numerical analysis of a model for phase separation of a multi-component alloy
James F. Blowey · IMA Journal of Numerical Analysis · 1996
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.