scholarly journals Numerical Aspects of Isogeometric Boundary Element Methods: (Nearly) Singular Quadrature, Trimmed NURBS and Surface Crack Modeling

2022 ◽  
Vol 130 (1) ◽  
pp. 513-542
Author(s):  
Xuan Peng ◽  
Haojie Lian
Keyword(s):  
Boundary Element ◽  
Surface Crack ◽  
Boundary Element Methods

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.

scholarly journals Analytical preconditioners for Neumann elastodynamic boundary element methods

2021 ◽  
Vol 2 (2) ◽  
Author(s):  
Stéphanie Chaillat ◽  
Marion Darbas ◽  
Frédérique Le Louër
Keyword(s):  
Boundary Element ◽  
Boundary Element Methods
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