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math.AP2019★ 4 cited
Stability and Error estimates of the SAV Fourier-spectral method for the Phase Field Crystal Equation
Xiaoli Li, Jie Shen
We consider fully discrete schemes based on the scalar auxiliary variable (SAV) approach and stabilized SAV approach in time and the Fourier-spectral method in space for the phase…
math.AP2019★ 4 cited
On a SAV-MAC scheme for the Cahn-Hilliard-Navier-Stokes Phase Field Model
Xiaoli Li, Jie Shen
We construct a numerical scheme based on the scalar auxiliary variable (SAV) approach in time and the MAC discretization in space for the Cahn-Hilliard-Navier-Stokes phase field mo…
math.AP2019
The fast scalar auxiliary variable approach with unconditional energy stability for nonlocal Cahn-Hilliard equation
Zhengguang liu, Aijie Cheng, Xiaoli Li
Comparing with the classical local gradient flow and phase field models, the nonlocal models such as nonlocal Cahn-Hilliard equations equipped with nonlocal diffusion operator can…