10 citations · 28 across the 14 of their papers we have counts for
18 papers
Linear, decoupled and positivity-preserving staggered mesh schemes for general dissipative systems with arbitrary energy distributions
Zhengguang Liu, Nan Zheng, Xiaoli Li
In this paper, we develop a novel staggered mesh (SM) approach for general nonlinear dissipative systems with arbitrary energy distributions (including cases with known or unknown…
Global error estimates of high-order fully decoupled schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows
Xiaoli Li, Nan Zheng, Jie Shen +1
In this paper we construct new fully decoupled and high-order implicit-explicit (IMEX) schemes for the two-phase incompressible flows based on the new generalized scalar auxiliary…
High-efficiency and positivity-preserving stabilized SAV methods for gradient flows
Zhengguang Liu, Yanrong Zhang, Xiaoli Li
The scalar auxiliary variable (SAV)-type methods are very popular techniques for solving various nonlinear dissipative systems. Compared to the semi-implicit method, the baseline S…
An enhanced and highly efficient semi-implicit combined Lagrange multiplier approach with preserving original energy law for dissipative systems
Zhengguang Liu, Nan Zheng, Xiaoli Li
Recently, a new Lagrange multiplier approach was introduced by Cheng, Liu and Shen in \cite{cheng2020new}, which has been broadly used to solve various challenging phase field prob…
The stabilized exponential-SAV approach preserving maximum bound principle for nonlocal Allen-Cahn equation
Xiaoqing Meng, Aijie Cheng, Zhengguang Liu
The nonlocal Allen-Cahn equation with nonlocal diffusion operator is a generalization of the classical Allen-Cahn equation. It satisfies the energy dissipation law and maximum boun…
The high-order exponential semi-implicit scalar auxiliary variable approach for nonlocal Cahn-Hilliard equation
Xiaoqing Meng, Aijie Cheng, Zhengguang Liu
The nonlocal Cahn-Hilliard (NCH) equation with nonlocal diffusion operator is more suitable for the simulation of microstructure phase transition than the local Cahn-Hilliard (LCH)…