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Regularization of the Boundary Integrals in the Bem Analysis of 3D Potential Problems

Published online by Cambridge University Press:  20 December 2012

Y. C. Shiah ,
M. R. Hematiyan  and
Y. H. Chen
Y. C. Shiah*
Affiliation:
Program of Mechanical and Aeronautical Engineering, Feng Chia University, Taichung, Taiwan 40724, R.O.C.
M. R. Hematiyan
Affiliation:
Department of Mechanical Engineering, Shiraz University, Shiraz, Iran
Y. H. Chen
Affiliation:
Department of Computer Science and Information Management, Providence University, Taichung, Taiwan 43301, R.O.C.
*
*Corresponding author (ycshiah@fcu.edu.tw)
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Abstract

In the conventional boundary element analysis, near-singularities are present in the associated boundary integral equation for problems involving ultra-thin media. For this case, any conventional numerical schemes will fail to yield proper values for the integrals. In this paper, the boundary integrals of the boundary element method for 3D potential problems are fully regularized by the technique of integration by parts under the local coordinate system. The fully regularized integrands are expressed as very explicit formulations that can be easily programmed into a computer code. Numerical tests carried out for a typical case have verified the accuracy of the approach for any orders of small distance between the source and the element under integration.

Keywords

Boundary element methodRegularization of boundary integrals3D potential problems
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 3 , September 2013 , pp. 385 - 401
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

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References

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