A unconditionally energy dissipative, adaptive IMEX BDF2 scheme and its error estimates for Cahn-Hilliard equation on generalized SAV approach

2022/11/03 by Wei, Yifan, Zhang, Jiwei, Zhao, Chengchao +1
#35Q99 #65M06 #65M12 #74A50 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2211.02018

Abstract

An adaptive implicit-explicit (IMEX) BDF2 scheme is investigated on generalized SAV approach for the Cahn-Hilliard equation by combining with Fourier spectral method in space. It is proved that the modified energy dissipation law is unconditionally preserved at discrete levels. Under a mild ratio restriction, i.e., \Ass1: 0

Related

• Error estimates for the scalar auxiliary variable (SAV) scheme to the Cahn-Hilliard equation
• Convergence analysis of variable steps BDF2 method for the space fractional Cahn-Hilliard model
• Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions
• Energy dissipation law and maximum bound principle-preserving linear BDF2 schemes with variable steps for the Allen-Cahn equation
• An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation