1 citations · 1 across the 2 of their papers we have counts for
4 papers
Stability and Robustness of Time-discretization Schemes for the Allen-Cahn Equation via Bifurcation and Perturbation Analysis
Wenrui Hao, Sun Lee, Xiaofeng Xu +1
The Allen-Cahn equation is a fundamental model for phase transitions, offering critical insights into the dynamics of interface evolution in various physical systems. This paper in…
Local Discontinuous Galerkin Methods for Solving Convection-Diffusion and Cahn-Hilliard Equations on Surfaces
Shixin Xu, Zhiliang Xu
Local discontinuous Galerkin methods are developed for solving second order and fourth order time-dependent partial differential equations defined on static 2D manifolds. These sch…
Thermodynamically Consistent Diffuse Interface Model for Cell Adhesion and Aggregation
Lingyue Shen, Ping Lin, Zhiliang Xu +1
A thermodynamically consistent phase-field model is introduced for simulating multicellular deformation, and aggregation under flow conditions. In particular, a Lennard-Jones type…
An Energy Stable C0 Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation
Lingyue Shen, Zhiliang Xu, Ping Lin +2
A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip bound…