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Volume 37, Issue 4
A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations

Ying Yang, Benzhuo Lu & Yan Xie

DOI: 10.4208/jcm.1904-m2018-0181

J. Comp. Math., 37 (2019), pp. 556-578.

Published online: 2019-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65N30, 65N15

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yangying@lsec.cc.ac.cn (Ying Yang)

bzlu@lsec.cc.ac.cn (Benzhuo Lu)

  • BibTex
  • RIS
  • TXT
@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} }
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 -

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.

Yang , YingLu , Benzhuo and Xie , Yan. (2019). A Decoupling Two-Grid Method for the Steady-State Poisson-Nernst-Planck Equations. Journal of Computational Mathematics. 37 (4). 556-578. doi:10.4208/jcm.1904-m2018-0181
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