Comparison of Finite Difference, Finite Element and Boundary Element Methods for electrostatic charged particle optics

2022 ◽  
pp. 91-94
Author(s):  
D Cubric ◽  
B Lencova ◽  
F H Read
Keyword(s):  
Finite Element ◽  
Charged Particle ◽  
Finite Difference ◽  
Boundary Element ◽  
Boundary Element Methods ◽  
Charged Particle Optics ◽  
Particle Optics

scholarly journals Achieving the Highest Accuracy With the BEM

2015 ◽  
Vol 21 (S4) ◽  
pp. 182-187 ◽  
Author(s):  
Frank H. Read
Keyword(s):  
Charged Particle ◽  
Boundary Element Method ◽  
Space Charge ◽  
Boundary Element ◽  
High Accuracy ◽  
Poisson Equations ◽  
Charged Particle Optics ◽  
Benchmark Tests ◽  
Particle Optics ◽  
A Charge

AbstractThe high accuracy that can be achieved by the Boundary Element Method when it is used to solve the Laplace and Poisson equations for electrostatic systems is discussed. Applications to charged particle optics are described, with the emphasis on the commercial CPO programs [1]. The BEM is a charge-based method and so is ideally suitable for systems that include space-charge and/or cathodes. It can deal easily with electrodes of very different sizes. These and other properties of the BEM are illustrated by a range of benchmark tests.

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.

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