Year: 2019
Author: Ying Yang, Benzhuo Lu, Yan Xie
Journal of Computational Mathematics, Vol. 37 (2019), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1904-m2018-0181
Journal of Computational Mathematics, Vol. 37 (2019), Iss. 4 : pp. 556–578
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Poisson-Nernst-Planck equations Two-grid finite element method Decoupling method Error analysis Gummel iteration.