3 papers
math.NA2025
Second-order unconditionally stable time-filtered scheme for Cahn-Hilliard-Navier-Stokes system
Xi Li, Chun Song, Haijun Gao +1
In this work, we introduce the time filtering technique to develop several innovative semi-discrete schemes in time for the Cahn-Hilliard-Navier-Stokes (CHNS) system. These schemes…
math.NA2025
Convergence analysis of decoupled mixed FEM for the Cahn-Hilliard-Navier-Stokes equations
Haijun Gao, Xi Li, Minfu Feng
We develop a decoupled, first-order, fully discrete, energy-stable scheme for the Cahn-Hilliard-Navier-Stokes equations. This scheme calculates the Cahn-Hilliard and Navier-Stokes…
math.NA2025
Optimal convergence analysis of fully discrete SAVs-FEM for the Cahn-Hilliard-Navier-Stokes equations
Haijun Gao, Xi Li, Cheng Wang +1
We construct a fully discrete numerical scheme that is linear, decoupled, and unconditionally energy stable, and analyze its optimal error estimates for the Cahn-Hilliard-Navier-St…