A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations
Numerical Analysis
2016-09-09 v1
Abstract
Poisson-Nernst-Planck equations are widely used to describe the electrodiffusion of ions in a solvated biomolecular system. Two kinds of two-grid finite element algorithms are proposed to decouple the steady-state Poisson-Nernst-Planck equations by coarse grid finite element approximations. Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the two-grid algorithms for solving Poisson-Nernst-Planck equations.
Cite
@article{arxiv.1609.02277,
title = {A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations},
author = {Ying Yang and Benzhuo Lu and Yan Xie},
journal= {arXiv preprint arXiv:1609.02277},
year = {2016}
}
Comments
16 pages, 10 figures