2 citations · 5 across the 6 of their papers we have counts for
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Second order stabilized semi-implicit scheme for the Cahn-Hilliard model with dynamic boundary conditions
Xiangjun Meng, Xuelian Bao, Zhengru Zhang
We study the numerical algorithm and error analysis for the Cahn-Hilliard equation with dynamic boundary conditions. A second-order in time, linear and energy stable scheme is prop…
A deterministic-particle-based scheme for micro-macro viscoelastic flows
Xuelian Bao, Chun Liu, Yiwei Wang
In this article, we introduce a new method for discretizing micro-macro models of dilute polymeric fluids by integrating a finite element discretization for the macroscopic fluid d…
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…