@Article{JCM-37-556, author = {Yang , YingLu , Benzhuo and Xie , Yan}, title = {A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations}, journal = {Journal of Computational Mathematics}, year = {2019}, volume = {37}, number = {4}, pages = {556--578}, 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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1904-m2018-0181}, url = {http://global-sci.org/intro/article_detail/jcm/13212.html} }