Optimal Coordinate Transformations In Numerical Integrations Of Weakly Singular And Nearly Singular Integrals In BEMs
Price
Free (open access)
Transaction
Volume
20
Pages
10
Published
1998
Size
845 kb
Paper DOI
10.2495/EBEM980221
Copyright
WIT Press
Author(s)
V. Sladek & J. Sladek
Abstract
The paper deals with an accurate numerical integration of the weakly singular and nearly singular integrals occuring in the BEM formulations. Optimal transformations of the integration variables are proposed in order to make the integrands to be distributed uniformly as much as possible over the whole integration area. Then, the integration can be performed with a sufficient accuracy by using standard integration quadratures without increasing the computational effort. 1 Introduction It is known that a treatment of singularities is a corner stone in any boundary element method formulation. The overall accuracy of the BEM computations is remarkably dependent on the approaches applied to numer
Keywords