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math.NA2020★ 1 cited
Adaptive finite element approximation for steady-state Poisson-Nernst-Planck equations
Tingting Hao, Manman Ma, Xuejun Xu
In this paper, we develop an adaptive finite element method for the nonlinear steady-state Poisson-Nernst-Planck equations, where the spatial adaptivity for geometrical singulariti…
physics.comp-ph2020
Modified Poisson-Nernst-Planck model with Coulomb and hard-sphere correlations
Manman Ma, Zhenli Xu, Liwei Zhang
We develop a modified Poisson-Nernst-Planck model which includes both the long-range Coulomb and short-range hard-sphere correlations in its free energy functional such that the mo…