Positivity Preserving and Mass Conservative Projection Method for the Poisson–Nernst–Planck Equation

F Tong, Y Cai - SIAM Journal on Numerical Analysis, 2024 - SIAM
We propose and analyze a novel approach to construct structure preserving approximations
for the Poisson–Nernst–Planck equations, focusing on the positivity preserving and mass …

An efficient unconditional energy-stable finite element method for the electro-hydrodynamic equations

M Li, G Zou, M Zhang - Computers & Mathematics with Applications, 2024 - Elsevier
In this paper, we mainly focus on the numerical approximations of the electro-hydrodynamic
system, which couples the Poisson-Nernst-Planck equations and the Navier-Stokes …