3 papers
math.NA2026
A Thermodynamically Consistent Cahn-Hilliard-Navier-Stokes Model for Tumor Growth
Chenyang Li, Ping Lin, Hui Yu +1
This work develops a thermodynamically consistent phase-field model for tumor growth based on the energetic variational framework. The model couples the Cahn-Hilliard equations for…
math.NA2025
Linear Relaxation Schemes with Asymptotically Compatible Energy Law for Time-Fractional Phase-Field Models
Hui Yu, Zhaoyang Wang, Ping Lin
In this paper, we propose a variable time-step linear relaxation scheme for time-fractional phase-field equations with a free energy density in general polynomial form. The $L1^{+}…
math.NA2025
Second-Order Linear Relaxation Schemes for Time-Fractional Phase-Field Models
Hui Yu, Zhaoyang Wang, Ping Lin
This work uses a linear relaxation method to develop efficient numerical schemes for the time-fractional Allen-Cahn and Cahn-Hilliard equations. The L1+-CN formula is used to discr…