An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations

被引：36
|
作者：
Yang, Ying [1 ]
Lu, Benzhuo [2 ]
机构：
[1] Guilin Univ Elect Technol, Dept Computat Sci & Math, Guilin 541004, Guangxi, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Natl Ctr Math & Interdisciplinary Sci,LSEC, Beijing 100190, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2013年 / 5卷 / 01期
关键词：
Poisson-Nernst-Planck equations; finite element method; error bounds; ELECTROSTATIC POTENTIAL COMPUTATION; GREENS-FUNCTION APPROXIMATIONS; BOLTZMANN EQUATION; ACETYLCHOLINESTERASE; GRAMICIDIN; CHANNEL;
D O I：
10.4208/aamm.11-m11184
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 electrodfffusion 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.
引用
收藏
页码：113 / 130
页数：18
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