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math.NA2023★ 1 cited
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…
math.NA2023
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…
math.NA2023★ 1 cited
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…