Local Averaging Type a Posteriori Error Estimates for the Nonlinear Steady-state Poisson-Nernst-Planck Equations
Numerical Analysis
2020-01-10 v2 Numerical Analysis
Abstract
The a posteriori error estimates are studied for a class of nonlinear stead-state Poisson-Nernst-Planck equations, which are a coupled system consisting of the Nernst-Planck equation and the Poisson equation. Both the global upper bounds and the local lower bounds of the error estimators are obtained by using a local averaging operator. Numerical experiments are given to confirm the reliability and efficiency of the error estimators.
Keywords
Cite
@article{arxiv.2001.00337,
title = {Local Averaging Type a Posteriori Error Estimates for the Nonlinear Steady-state Poisson-Nernst-Planck Equations},
author = {Ying Yang and Ruigang Shen and Mingjuan Fang and Shi Shu},
journal= {arXiv preprint arXiv:2001.00337},
year = {2020}
}