16 citations · 66 across the 18 of their papers we have counts for
18 papers
Convergence analysis of Sobolev Gradient flows for the rotating Gross-Pitaevskii energy functional
Chen Zhang, Patrick Henning, Mahima Yadav +1
This paper studies the numerical approximation of the ground state of rotating Bose--Einstein condensates, formulated as the minimization of the Gross--Pitaevskii energy functional…
Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system
Wenbin Chen, Qianqian Liu, Jie Shen
The Keller-Segel equations are widely used for describing chemotaxis in biology. Recently, a new fully discrete scheme for this model was proposed in [46], mass conservation, posit…
A Uniquely Solvable, Positivity-Preserving and Unconditionally Energy Stable Numerical Scheme for the Functionalized Cahn-Hilliard Equation with Logarithmic Potential
Wenbin Chen, Jianyu Jing, Hao Wu
We propose and analyze a first-order finite difference scheme for the functionalized Cahn-Hilliard (FCH) equation with a logarithmic Flory-Huggins potential. The semi-implicit nume…
Error estimate of a decoupled numerical scheme for the Cahn-Hilliard-Stokes-Darcy system
Wenbin Chen, Daozhi Han, Cheng Wang +3
We analyze a fully discrete finite element numerical scheme for the Cahn-Hilliard-Stokes-Darcy system that models two-phase flows in coupled free flow and porous media. To avoid a…
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…
Energy stable arbitrary order ETD-MS method for gradient flows with Lipschitz nonlinearity
Wenbin Chen, Shufen Wang, Xiaoming Wang
We present a methodology to construct efficient high-order in time accurate numerical schemes for a class of gradient flows with appropriate Lipschitz continuous nonlinearity. Ther…