58 citations · 107 across the 9 of their papers we have counts for
9 papers
Numerical approximations and error analysis of the Cahn-Hilliard equation with reaction rate dependent dynamic boundary conditions
Xuelian Bao, Hui Zhang
We consider numerical approximations and error analysis for the Cahn-Hilliard equation with reaction rate dependent dynamic boundary conditions (P. Knopf et. al., arXiv, 2020). Bas…
Numerical Approximations and Error Analysis of the Cahn-Hilliard Equation with Dynamic Boundary Conditions
Xuelian Bao, Hui Zhang
We consider the numerical approximations of the Cahn-Hilliard equation with dynamic boundary conditions (C. Liu et. al., Arch. Rational Mech. Anal., 2019). We propose a first-order…
A positivity-preserving second-order BDF scheme for the Cahn-Hilliard equation with variable interfacial parameters
Lixiu Dong, Cheng Wang, Hui Zhang +1
We present and analyze a new second-order finite difference scheme for the Macromolecular Microsphere Composite hydrogel, Time-Dependent Ginzburg-Landau (MMC-TDGL) equation, a Cahn…
A note to paper: Axial symmetry and classification of stationary solutions of Doi-Onsager equation on the sphere with Maier-Saupe potential
Hailiang Liu, Hui Zhang, Pingwen Zhang
This note serves to provide additional details for the proof of Lemma 3.6 in our paper [Liu, Zhang and Zhang, Comm. Math. Sci., 3(2005), pp.201-218]. Moreover, we will also present…
High efficiently numerical simulation of the TDGL equation with reticular free energy in hydrogel
Jun Han, Hui Zhang, Zhengru Zhang
In this paper, we focus on the numerical simulation of phase separation about macromolecule microsphere composite (MMC) hydrogel. The model equation is based on Time-Dependent Ginz…
Decoupled, Energy Stable Scheme for Hydrodynamic Allen-Cahn Phase Field Moving Contact Line Model
Rui Chen, Xiaofeng Yang, Hui Zhang
In this paper, we present an efficient energy stable scheme to solve a phase field model incorporating contact line condition. Instead of the usually used Cahn-Hilliard type phase…
Second Order, linear and unconditionally energy stable schemes for a hydrodynamic model of Smectic-A Liquid Crystals
Rui Chen, Xiaofeng Yang, Hui Zhang
In this paper, we consider the numerical approximations for a hydrodynamical model of smectic-A liquid crystals. The model, derived from the variational approach of the modified Os…
An unconditionally energy stable finite difference scheme for a stochastic Cahn-Hilliard equation
Xiao Li, Zhonghua Qiao, Hui Zhang
In this work, the MMC-TDGL equation, a stochastic Cahn-Hilliard equation is solved numerically by using the finite difference method in combination with a convex splitting techniqu…
Convergence of a Fast Explicit Operator Splitting Method for the Molecular Beam Epitaxy Model
Xiao Li, Zhonghua Qiao, Hui Zhang
A fast explicit operator splitting (FEOS) method for the molecular beam epitaxy model has been presented in [Cheng, et al., Fast and stable explicit operator splitting methods for…