1 citations · 1 across the 3 of their papers we have counts for
5 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…
On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation
Xiaoli Li, Nan Zheng, Jie Shen
We construct new higher-order implicit-explicit (IMEX) schemes using the generalized scalar auxiliary variable (GSAV) approach for the Landau-Lifshitz equation. These schemes are l…
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…
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…
Energy stable and maximum bound principle preserving schemes for the Q-tensor flow of liquid crystals
Dianming Hou, Xiaoli Li, Zhonghua Qiao +1
In this paper, we propose two efficient fully-discrete schemes for Q-tensor flow of liquid crystals by using the first- and second-order stabilized exponential scalar auxiliary var…