Unconditional convergence analysis of stabilized FEM-SAV method for Cahn-Hilliard equation

Abstract

In this paper, we construct and analyze an energy stable scheme by combining stabilized scalar auxiliary variable (SAV) approach with finite element method (FEM) for the well-known Cahn-Hilliard equation. The unconditional energy stability and optimal error estimates of the numerical scheme are proved rigorously. Extensive numerical experiments are presented to verify our theoretical results and to demonstrate the accuracy of the proposed method.