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20182025
most citedA Modified Poisson--Nernst--Planck Model with Excluded Volume Effect: Theory and Numerical Implementation

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math.NA2025

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems

Hailiang Liu, Zhongming Wang, Peimeng Yin

In earlier work [H. Liu and Z. Wang, J. Comput. Phys., 328(2017)], an arbitrary high-order conservative and energy-dissipative direct discontinuous Galerkin (DDG) scheme was develo…

math.NA2020

Structure-Preserving and Efficient Numerical Methods for Ion Transport

Jie Ding, Zhongming Wang, Shenggao Zhou

Ion transport, often described by the Poisson--Nernst--Planck (PNP) equations, is ubiquitous in electrochemical devices and many biological processes of significance. In this work,…