An integral equation method for coupled fluid/fluid scattering in three dimensions

1988 ◽  
Vol 84 (1) ◽  
pp. 379-384 ◽  
Author(s):  
A. F. Seybert ◽  
D. K. Casey
Keyword(s):  
Integral Equation ◽  
Integral Equation Method ◽  
Three Dimensions ◽  
Equation Method

scholarly journals The boundary integral equation method with application to certain stress concentration problems in elasticity

1981 ◽  
Vol 22 (4) ◽  
pp. 381-393 ◽  
Author(s):  
F. J. Rizzo ◽  
D. J. Shippy
Keyword(s):  
Integral Equation ◽  
Stress Concentration ◽  
Boundary Integral Equation ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Three Dimensions ◽  
Boundary Integral Equation Method ◽  
Equation Method ◽  
Elliptic Type ◽  
Concentration Problem

AbstractThe essential aspects of the Boundary Integral Equation Method for the numerical solution of elliptic type boundary value problems are presented. A numerical example for a stress concentration problem in classical elasticity in three dimensions is given along with several examples for a class of scalar problems in elastic torsion of non-cylindrical bars. Some discussion and criticism of the method itself and in comparison with widely used field methods is also presented.

3D integral equation modeling with a linear dependence on dimensions

Geophysics ◽  
2009 ◽  
Vol 74 (5) ◽  
pp. F89-F94 ◽  
Author(s):  
Dmitry Avdeev ◽  
Sergei Knizhnik
Keyword(s):  
Integral Equation ◽  
Electromagnetic Fields ◽  
Linear Dependence ◽  
Integral Equation Method ◽  
Three Dimensions ◽  
Equation Method ◽  
Equation Modeling ◽  
Quadratic Dependence ◽  
Induction Logging ◽  
Model Size

We have improved the integral equation method for modeling 3D electromagnetic fields by using the separability of its inherent [Formula: see text] dyadic Green’s tensors. Conventional integral equation approaches exhibit a quadratic dependence on model size, at least for the vertical dimension. In contrast, our approach has a linear dependence on all three dimensions. We tested our method on an example of induction logging in deviated boreholes.

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