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math.NA2026
A Second-Order Maximum-Bound-Preserving and Energy-Stable Exponential Time-Differencing Method for Allen--Cahn-Type Gradient Flows
Wenshuai Hu, Guanghua Ji, Xiao Li
The energy dissipation law and the maximum bound principle (MBP) are two important physical features of the well-known Allen--Cahn equation. In this paper, we develop and analyze n…
math.NA2024
Error estimate for the first order energy stable scheme of Q-tensor nematic model
Jin Huang, Xiao Li, Guanghua Ji
We present rigorous error estimates towards a first-order unconditionally energy stable scheme designed for 3D hydrodynamic Q-tensor model of nematic liquid crystals. This scheme c…