2 papers
math.NA2025
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…
math.NA2025
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…