4 papers · 1 filter
A decoupled structure preserving scheme for the Poisson-Nernst-Planck Navier-Stokes equations and its error analysis
Ziyao Yu, Qing Cheng, Jie Shen +1
We consider in this paper a numerical approximation of Poisson-Nernst-Planck-Navier- Stokes (PNP-NS) system. We construct a decoupled semi-discrete and fully discrete scheme that e…
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…
Unique solvability and error analysis of the Lagrange multiplier approach for gradient flows
Qing Cheng, Jie Shen, Cheng Wang
The unique solvability and error analysis of the original Lagrange multiplier approach proposed in [8] for gradient flows is studied in this paper. We identify a necessary and suff…