TY - JOUR
T1 - A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations
AU - Yang , Ying
AU - Lu , Benzhuo
AU - Xie , Yan
JO - Journal of Computational Mathematics
VL - 4
SP - 556
EP - 578
PY - 2019
DA - 2019/06
SN - 37
DO - http://doi.org/10.4208/jcm.1904-m2018-0181
UR - https://global-sci.org/intro/article_detail/jcm/13212.html
KW - Poisson-Nernst-Planck equations, Two-grid finite element method, Decoupling
method, Error analysis, Gummel iteration.
AB - <p style="text-align: justify;">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.</p>