56 citations · 120 across the 23 of their papers we have counts for
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Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows
Zhengguang Liu, Xiaoli Li
In this paper, we propose several novel numerical techniques to deal with nonlinear terms in gradient flows. These step-by-step solving schemes, termed 3S-SAV and 3S-IEQ schemes, a…
The exponential scalar auxiliary variable (E-SAV) approach for phase field models and its explicit computing
Zhengguang Liu, Xiaoli Li
In this paper, we consider an exponential scalar auxiliary variable (E-SAV) approach to obtain energy stable schemes for a class of phase field models. This novel auxiliary variabl…
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations
Xiaoli Li, Jie Shen
An efficient numerical scheme based on the scalar auxiliary variable (SAV) and marker and cell scheme (MAC) is constructed for the Navier-Stokes equations. A particular feature of…
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…
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…
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…