8 citations · 16 across the 7 of their papers we have counts for
11 papers · 1 filter
Phase field modeling and computation of vesicle growth or shrinkage
Xiaoxia Tang, Shuwang Li, John S. Lowengrub +1
We present a phase field model for vesicle growth or shrinkage induced by an osmotic pressure due to a chemical potential gradient. The model consists of an Allen-Cahn equation des…
Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance
Chun Liu, Cheng Wang, Yiwei Wang +1
We present a detailed convergence analysis for an operator splitting scheme proposed in [C. Liu et al.,J. Comput. Phys., 436, 110253, 2021] for a reaction-diffusion system with det…
A positivity-preserving, energy stable scheme for a Ternary Cahn-Hilliard system with the singular interfacial parameters
Lixiu Dong, Cheng Wang, Steven M. Wise +1
In this paper, we construct and analyze a uniquely solvable, positivity preserving and unconditionally energy stable finite-difference scheme for the periodic three-component Macro…
An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels
Maoqin Yuan, Wenbin Chen, Cheng Wang +2
In this article, we present and analyze a finite element numerical scheme for a three-component macromolecular microsphere composite (MMC) hydrogel model, which takes the form of a…
Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model
Juan Zhang, Cheng Wang, Steven M. Wise +1
In this paper, two finite difference numerical schemes are proposed and analyzed for the droplet liquid film model, with a singular Leonard-Jones energy potential involved. Both fi…
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
Chun Liu, Cheng Wang, Steven M. Wise +2
In this paper we propose and analyze a finite difference numerical scheme for the Poisson-Nernst-Planck equation (PNP) system. To understand the energy structure of the PNP model,…