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

Ying Yang ,  Benzhuo Lu and Yan Xie

10.4208/jcm.1904-m2018-0181

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

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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.

  • History

Published online: 2019-06

  • AMS Subject Headings

65N30, 65N15

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