2 citations · 5 across the 6 of their papers we have counts for
7 papers
Micro-Macro Modeling of Polymeric Fluids with Multi-Bead Polymer Chain
Xuelian Bao, Lidong Fang, Huaxiong Huang +2
This work extends the classical dumbbell (two-bead) model of polymer chains to a more detailed multi-bead representation, where each polymer chain consists of beads connected b…
Accelerating Particle-based Energetic Variational Inference
Xuelian Bao, Lulu Kang, Chun Liu +1
In this work, we propose a new particle-based variational inference (ParVI) method for accelerating the Energetic Variational Inference with Implicit scheme (EVI-Im) introduced in…
Micro-Macro Modeling of Polymeric Fluids and Shear-Induced Microscopic Behaviors
Xuelian Bao, Huaxiong Huang, Zilong Song +1
This article delves into the micro-macro modeling of polymeric fluids, considering various microscopic potential energies, including the classical Hookean potential, as well as new…
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…