@Article{AAMM-5-113, author = {Yang , Ying 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 = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.11-m11184}, url = {http://global-sci.org/intro/article_detail/aamm/60.html} }