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 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.
基金
supported by the China NSF(NSFC 11001062,NSFC 11161014)
the fund from Education Department of Guangxi Province under grant 201012MS094
B.Z.Lu was supported by the National Center for Mathematics and Interdisciplinary Sciences,Chinese Academy of Sciences and the China NSF(NSFC10971218).
