3 papers
math.NA2026
Efficient Numerical Schemes for a Two-Phase Hydrodynamical Model of Active Liquid Crystals and Solids
Xuelong Gu, Guanghua Ji, Qi Wang
We propose several linear, fully decoupled numerical schemes with first- and second-order temporal accuracy for a novel Q-tensor-based two-phase hydrodynamic model describing the c…
math.NA2026
A Structure-Preserving GSAV Exponential Integrator for Smectic-A Liquid Crystals
Wenshuai Hu, Guanghua Ji, Xiao Li
The modified Landau--de Gennes (mLdG) theory provides a powerful continuum framework for modeling smectic-A (SmA) liquid crystals by coupling the tensorial orientational order para…
math.NA2025
Efficient numerical methods for computing stationary states of spherical Landau-Brazovskii model
Qun Qiu, Wei Si, Guanghua Ji +1
In this paper, we develop a set of efficient methods to compute stationary states of the spherical Landau-Brazovskii (LB) model in a discretization-then-optimization way. First, we…