Nonconforming cell boundary element methods for elliptic problems on triangular mesh

2008 ◽  
Vol 58 (6) ◽  
pp. 800-814 ◽  
Author(s):  
Youngmok Jeon ◽  
Eun-Jae Park
Keyword(s):  
Boundary Element ◽  
Elliptic Problems ◽  
Triangular Mesh ◽  
Boundary Element Methods ◽  
Cell Boundary

A cell boundary element method for elliptic problems

2005 ◽  
Vol 21 (3) ◽  
pp. 496-511 ◽  
Author(s):  
Youngmok Jeon ◽  
Eun-Jae Park ◽  
Dongwoo Sheen
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Elliptic Problems ◽  
Cell Boundary ◽  
A Cell ◽  
Element Method

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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