The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis 论文
1992European Journal of Applied Mathematics引用 243顶会
Advanced Mathematical Modeling in EngineeringSolidification and crystal growth phenomenaAdvanced Numerical Methods in Computational Mathematics
摘要
In this paper we consider the numerical analysis of a parabolic variational inequality arising from a deep quench limit of a model for phase separation in a binary mixture due to Cahn and Hilliard. Stability, convergence and error bounds for a finite element approximation are proven. Numerical simulations in one and two space dimensions are presented.