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A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations

A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations
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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.

Author Details

Ying Yang

Benzhuo Lu

Yan Xie

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