Error analysis of a decoupled, linear and stable finite element method for Cahn–Hilliard–Navier–Stokes equations

作者：

Highlights：

• The considered numerical scheme is a totally decoupled, linear and unconditionally energy stable finite element method scheme.

• A priori error estimation for the phase field, velocity field and pressure variables are obtained.

摘要

•The considered numerical scheme is a totally decoupled, linear and unconditionally energy stable finite element method scheme.•A priori error estimation for the phase field, velocity field and pressure variables are obtained.

论文关键词：Cahn–Hilliard equation,Navier–Stokes equation,Projections,Error analysis

论文评审过程：Received 23 July 2021, Revised 24 December 2021, Accepted 3 January 2022, Available online 31 January 2022, Version of Record 31 January 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.126928