10 citations · 35 across the 10 of their papers we have counts for
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Highly efficient exponential scalar auxiliary variable approaches with relaxation (RE-SAV) for gradient flows
Zhengguang Liu, Xiaoli Li
For the past few years, scalar auxiliary variable (SAV) and SAV-type approaches became very hot and efficient methods to simulate various gradient flows. Inspired by the new SAV ap…
Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations
Xiaoli Li, Weilong Wang, Jie Shen
We construct and analyze first- and second-order implicit-explicit (IMEX) schemes based on the scalar auxiliary variable (SAV) approach for the magneto-hydrodynamic equations. Thes…
A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system
Zhengguang Liu, Xiaoli Li
The scalar auxiliary variable (SAV) approach is a very popular and efficient method to simulate various phase field models. To save the computational cost, a new SAV approach is gi…
On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows
Xiaoli Li, Jie Shen
We construct first- and second-order time discretization schemes for the Cahn-Hilliard-Navier-Stokes system based on the multiple scalar auxiliary variables approach (MSAV) approac…
Efficient Linear and Unconditionally Energy Stable Schemes for the Modified Phase Field Crystal Equation
Xiaoli Li, Jie Shen
In this paper, we construct efficient schemes based on the scalar auxiliary variable (SAV) block-centered finite difference method for the modified phase field crystal (MPFC) equat…
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
Xiaoli Li, Jie Shen, Zhengguang Liu
We construct new first- and second-order pressure correction schemes using the scalar auxiliary variable (SAV) approach for the Navier-Stokes equations. These schemes are linear, d…