An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations
An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations
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DOI：
10.4208/aamm.11-m11184
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发表时间：
2013-02
影响因子：
1.4
通讯作者：
Ying Yang;B. Lu
中科院分区：
文献类型：
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作者：
Ying Yang;B. Lu
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. AMS subject classifications: 65N30, 92C40
