Hybrid boundary element and finite difference method for solving the nonlinear Poisson-Boltzmann equation

2004 ◽  
Vol 25 (7) ◽  
pp. 935-955 ◽  
Author(s):  
Alexander H. Boschitsch ◽  
Marcia O. Fenley
Keyword(s):  
Boltzmann Equation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Boundary Element ◽  
Difference Method ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation

Weighted Finite Difference and Boundary Element Methods Applied to Groundwater Pollution Problems

1991 ◽  
Vol 23 (1-3) ◽  
pp. 517-524
Author(s):  
M. Kanoh ◽  
T. Kuroki ◽  
K. Fujino ◽  
T. Ueda
Keyword(s):  
Boundary Element Method ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Boundary Element ◽  
Difference Method ◽  
Groundwater Pollution ◽  
Small Region ◽  
Boundary Element Methods ◽  
Computational Time ◽  
Element Method

The purpose of the paper is to apply two methods to groundwater pollution in porous media. The methods are the weighted finite difference method and the boundary element method, which were proposed or developed by Kanoh et al. (1986,1988) for advective diffusion problems. Numerical modeling of groundwater pollution is also investigated in this paper. By subdividing the domain into subdomains, the nonlinearity is localized to a small region. Computational time for groundwater pollution problems can be saved by the boundary element method; accurate numerical results can be obtained by the weighted finite difference method. The computational solutions to the problem of seawater intrusion into coastal aquifers are compared with experimental results.

Solving the finite-difference non-linear Poisson-Boltzmann equation

1992 ◽  
Vol 13 (9) ◽  
pp. 1114-1118 ◽  
Author(s):  
Brock A. Luty ◽  
Malcolm E. Davis ◽  
J. Andrew McCammon
Keyword(s):  
Boltzmann Equation ◽  
Finite Difference ◽  
Non Linear ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation
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