A Two-grid Method for Linearizing and Symmetrizing the Steady-state Poisson-Nernst-Planck Equations

In this paper, a two-grid method is proposed to linearize and symmetrize the steady-state Poisson-Nernst-Planck equations. The computational system is decoupled to linearize and symmetrize equations by using this method, which can improve the computational efficiency compared with the finite element...

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Bibliographic Details
Published inarXiv.org
Main Authors Li, Xuefang, Yang, Ying, Cheng, Hang
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.03.2017
Subjects
Computing time
Finite element method
Grid method
Mathematical analysis
Steady state
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Summary:In this paper, a two-grid method is proposed to linearize and symmetrize the steady-state Poisson-Nernst-Planck equations. The computational system is decoupled to linearize and symmetrize equations by using this method, which can improve the computational efficiency compared with the finite element method. Error estimates are derived for the proposed method. The numerical results show that the two-grid method is effective.
ISSN:2331-8422