Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
In this paper, we devise and analyse an unconditionally stable, second-order-in-time numerical scheme for the Cahn–Hilliard equation in two and three space dimensions. We prove that our two-step scheme is unconditionally energy stable and unconditionally uniquely solvable. Furthermore, we show that the discrete phase variable is bounded in |$L^\infty (0,T;L^\infty …