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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 44
ADVANCES IN BOUNDARY ELEMENT METHODS
Edited by: B.H.V. Topping
Paper I.4

On Non-Linear Transformations for the Integration of the Singular Kernels in the Boundary Element Method

M. Doblare and L. Gracia

Mechanical Engineering Department, University of Zaragoza, Zaragoza, Spain

Full Bibliographic Reference for this paper
M. Doblare, L. Gracia, "On Non-Linear Transformations for the Integration of the Singular Kernels in the Boundary Element Method", in B.H.V. Topping, (Editor), "Advances in Boundary Element Methods", Civil-Comp Press, Edinburgh, UK, pp 29-42, 1996. doi:10.4203/ccp.44.1.4
Abstract
The mathematical foundations of the application of non-linear transformations to the numerical integration or the singular kernels appearing in Boundary Elements arc revised in this paper. It is shown why previous papers following this approach work while others do not, and also why some of the latter ones work only for the particular examples presented therein. Some non-linear transformations for 2-D and 3-D problems arc presented here that fulfil the mentioned mathematical requirements. A complete numerical study of the accuracy of these schemes is also discussed in detail.

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