Electrophoresis of a Soft Particle within a Cylindrical Pore: Polarization Effect with the Nonlinear Poisson−Boltzmann Equation

Adaptive Finite-Element Solution of the

Adaptive Finite-Element Solution of the Nonlinear Poisson–Boltzmann Equation: A Charged Spherical Particle at Various Distances from a Charged Cylindrical Pore in a Charged Planar Surface

✍ W.Richard Bowen; Adel O. Sharif 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 282 KB

A Galerkin finite-element approach combined with an error estimator and automatic mesh refinement has been used to provide a flexible numerical solution of the Poisson-Boltzmann equation. A Newton sequence technique was used to solve the nonlinear equations arising from the finite-element discretiza