6 citations · 6 across the 5 of their papers we have counts for
4 papers · 1 filter
Adaptive time-stepping and maximum-principle preserving Lagrangian schemes for gradient flows
Qianqian Liu, Wenbin Chen, Jie Shen +1
We develop in this paper an adaptive time-stepping approach for gradient flows with distinct treatments for conservative and non-conservative dynamics. For the non-conservative gra…
A new flow dynamic approach for Wasserstein gradient flows
Qing Cheng, Qianqian Liu, Wenbin Chen +1
We develop in this paper a new regularized flow dynamic approach to construct efficient numerical schemes for Wasserstein gradient flows in Lagrangian coordinates. Instead of appro…
Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system
Wenbin Chen, Jianyu Jing, Qianqian Liu +2
We present an optimal rate convergence analysis for a second order accurate in time, fully discrete finite difference scheme for the Cahn-Hilliard-Navier-Stokes (CHNS) system, comb…
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…