238 citations · 279 across the 16 of their papers we have counts for
11 papers · 1 filter
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…
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…
A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection
Wenbin Chen, Weijia Li, Zhiwen Luo +2
In this paper, a stabilized second order in time accurate linear exponential time differencing (ETD) scheme for the no-slope-selection thin film growth model is presented. An artif…
Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential
Wenbin Chen, Cheng Wang, Xiaoming Wang +1
We present and analyze finite difference numerical schemes for the Allen Cahn/Cahn-Hilliard equation with a logarithmic Flory Huggins energy potential. Both the first order and sec…
Uniquely solvable and energy stable decoupled schemes for Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry
Wenbin Chen, Daozhi Han, Xiaoming Wang
We propose and analyze two novel decoupled numerical schemes for solving the Cahn-Hilliard-Stokes-Darcy (CHSD) model for two-phase flows in karstic geometry. In the first numerical…
Convergence Analysis and Error Estimates for a Second Order Accurate Finite Element Method for the Cahn-Hilliard-Navier-Stokes System
Amanda E. Diegel, Cheng Wang, Xiaoming Wang +1
In this paper, we present a novel second order in time mixed finite element scheme for the Cahn-Hilliard-Navier-Stokes equations with matched densities. The scheme combines a stand…