LAUSR

Abstract In this paper, we consider time marching numerical schemes to solve a two-mode phase field crystal model with face-centered-cubic ordering. We propose two type, linear, and unconditionally energy stable schemes by combining the recently developed IEQ and SAV approaches with the stabilization technique, where several extra stabilizing terms are added to enhance the stability and keep the required accuracy while using large time steps. We further prove the unconditional energy stabilities of the developed schemes rigorously. Through the comparisons with some other prevalent schemes like the fully-implicit, semi-implicit, and convex-splitting schemes for some benchmark numerical examples in 2D and 3D, we demonstrate the stability and the accuracy of the schemes numerically.