@Article{AAMM-5-1,
author = {Ying, Yang and Lu, Benzhuo},
title = {An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2013},
volume = {5},
number = {1},
pages = {113--130},
abstract = {<p style="text-align: justify;">Poisson-Nernst-Planck
 equations are a coupled system of nonlinear partial differential
 equations consisting of the Nernst-Planck equation and
 the electrostatic Poisson equation with delta distribution sources,
 which describe the electrodiffusion of ions in a solvated
 biomolecular system. In this paper, some error bounds for a piecewise
 finite element approximation to this problem are derived. Several numerical
 examples including biomolecular problems are shown to support our analysis.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.11-m11184},
url = {https://global-sci.com/article/73482/an-error-analysis-for-the-finite-element-approximation-to-the-steady-state-poisson-nernst-planck-equations}
}