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

Authors

  • Ying Yang School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China
  • Benzhuo Lu LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, the National Center for Mathematics and Interdisciplinary Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
  • Yan Xie LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

DOI:

https://doi.org/10.4208/jcm.1904-m2018-0181

Keywords:

Poisson-Nernst-Planck equations, Two-grid finite element method, Decoupling method, Error analysis, Gummel iteration.

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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Published

2019-04-29

Issue

Vol. 37 No. 4 (2019)

Section

Articles