An iterative method for finite-element solutions of the nonlinear Poisson-Boltzmann equation

Authors:
Ren-Chuen Chen
Affiliations:
National Kaohsiung Normal University, Department of Mathematics, Lingya District, Kaohsiung City, Taiwan, R.O.C.
Venue:
ICCOMP'07 Proceedings of the 11th WSEAS International Conference on Computers
Year:
2007

Citing 3
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Abstract

A finite-element approach combined with an efficient iterative method have been used to provide a numerical solution of the nonlinear Poisson-Boltzmann equation. The iterative method solves the nonlinear equations arising from the FE discretization procedure by a node-by-node calculation. The performance of the proposed method is illustrated by applying it to the problem of two identical colloidal particles in a symmetric electrolyte. My numerical results are found in good agreement with the previous published results.