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

作者：

Highlights：

• The proposed stabilized FEM-SAV scheme is linear, unconditional energy stable, and suit for general nonlinear potential.

• The unconditional, optimal convergence of this fully-discrete stabilized FEM-SAV scheme is studied by using energy estimate. The proposed method can be used to analysis the unconditional convergence of fully discrete SAV based method for more complicated phase- field models and other nonlinear problems.

• Numerical experiments are proposed to demonstrate the accuracy of the scheme.

摘要

•The proposed stabilized FEM-SAV scheme is linear, unconditional energy stable, and suit for general nonlinear potential.•The unconditional, optimal convergence of this fully-discrete stabilized FEM-SAV scheme is studied by using energy estimate. The proposed method can be used to analysis the unconditional convergence of fully discrete SAV based method for more complicated phase- field models and other nonlinear problems.•Numerical experiments are proposed to demonstrate the accuracy of the scheme.

论文关键词：Finite element method,Scalar auxiliary variable approach,Cahn-Hilliard equation,Error analysis,Unconditional

论文评审过程：Received 11 August 2021, Revised 14 December 2021, Accepted 16 December 2021, Available online 27 December 2021, Version of Record 27 December 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126880