Efficiency and accuracy are two major concerns in numerical solutions of the Poisson-
Boltzmann equation for applications in chemistry and biophysics. Recent developments in …

This work is aimed to give an electrochemical insight into the ionic transport phenomena in
the cellular environment of organized brain tissue. The Nernst–Planck–Poisson (NPP) …

In this paper we developed accurate finite element methods for solving 3-D Poisson–Nernst–
Planck (PNP) equations with singular permanent charges for simulating electrodiffusion in …

The effects of finite particle size on electrostatics, density profiles, and diffusion have been a
long existing topic in the study of ionic solution. The previous size-modified Poisson …

This work presents a few variational multiscale models for charge transport in complex
physical, chemical, and biological systems and engineering devices, such as fuel cells, solar …

Large chemical and biological systems such as fuel cells, ion channels, molecular motors,
and viruses are of great importance to the scientific community and public health. Typically …

In this paper we study the a priori error estimates of finite element method for the system of
time-dependent Poisson–Nernst–Planck equations, and for the first time, we obtain its …

Abstract Poisson-Nernst-Planck equations are a nonlinear coupled system which are widely
used to describe electrodiffusion processes in biomolecular systems and semiconductors …

A concise account is given about Monte Carlo (MC) simulation techniques for homogeneous
and inhomogeneous systems of electrolyte solutions at concentrations characteristic of …

A computational technique for solving the Poisson–Nernst–Planck (PNP) equations is
developed which overcomes the poor convergence rates of commonly used algorithms. The …