Weak convergence analysis for the Cahn–Hilliard–Cook equation

Establish weak convergence results for numerical approximations of the Cahn–Hilliard–Cook equation.

Background

The paper establishes strong mean-square convergence estimates for spatially semidiscrete finite element approximations and fully discrete backward Euler approximations of the linearized Cahn–Hilliard–Cook equation. It concludes by identifying weak convergence as a separate unresolved direction for numerical approximation of the equation.