5 papers · 1 filter
A Thermodynamically Consistent Model for Multicomponent Vesicles
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
We develop a thermodynamically consistent diffuse-interface model for multicomponent membranes. The proposed model is derived from a coupled free energy functional that incorporate…
Finite Element Approximation of Nonlocal Problems with Heterogeneous Localization and Local Boundary Conditions
Yuyan Chang, Hui Liang, Zhonghua Qiao
This paper studies the finite element approximation of a one-dimensional nonlocal Poisson problem with heterogeneous localization and homogeneous local Dirichlet boundary condition…
Exponential Time Differencing Schemes for a Phase-Field Model of Multicomponent Membranes
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
In this paper, we develop and analyze exponential time differencing (ETD) schemes for a phase-field model of multicomponent membranes proposed in our previous work \cite{luo2025oht…
Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach
Ruo Li, Shengtong Liang, Zhonghua Qiao
The Cahn-Hilliard equation with Flory-Huggins potential serves as a fundamental phase field model for describing phase separation phenomena. Due to the presence of logarithmic sing…
Convergence analysis of SPH method on irregular particle distributions for the Poisson equation
Zhonghua Qiao, Yifan Wei
The numerical accuracy of particle-based approximations in Smoothed Particle Hydrodynamics (SPH) is significantly affected by the spatial uniformity of particle distributions, espe…