Boundary element methods for singularity problems in fracture mechanics

1985 ◽  
pp. 181-198
Author(s):  
J. C. Mason ◽  
A. P. Parker ◽  
R. N. L. Smith ◽  
R. M. Thompson
Keyword(s):  
Fracture Mechanics ◽  
Boundary Element ◽  
Boundary Element Methods

Boundary Element Formulations in Fracture Mechanics

1997 ◽  
Vol 50 (2) ◽  
pp. 83-96 ◽  
Author(s):  
M. H. Aliabadi
Keyword(s):  
Stress Intensity ◽  
Fracture Mechanics ◽  
Boundary Element ◽  
Growth Analysis ◽  
Review Article ◽  
Boundary Element Methods ◽  
Intensity Factors ◽  
Linear Elastic ◽  
Transient Problems ◽  
Elastic Fracture

This article reviews advances in the application of boundary element methods (BEM) to fracture mechanics which have taken place over the last 25 years. Applications discussed include linear, nonlinear and transient problems. Also reviewed are contributions using the indirect boundary element formulations. Over this period the method has emerged as the most efficient technique for the evaluation of stress intensity factors (SIF) and crack growth analysis in the context of linear elastic fracture mechanics (LEFM). Much has also been achieved in the application to dynamic fracture mechanics. This review article contains 289 references.

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

scholarly journals Towards Space‐Time Boundary Element Methods for Retarded Potential Integral Equations

PAMM ◽  
2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Dominik Pölz ◽  
Martin Schanz
Keyword(s):  
Boundary Element ◽  
Integral Equations ◽  
Space Time ◽  
Boundary Element Methods ◽  
Time Boundary
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