WEAKLY SINGULAR 2D QUADRATURES FOR SOME FUNDAMENTAL-SOLUTIONS

Authors
BIALECKI RA HERDING U KOHLER O KUHN G
Citation
Ra. Bialecki et al., WEAKLY SINGULAR 2D QUADRATURES FOR SOME FUNDAMENTAL-SOLUTIONS, Engineering analysis with boundary elements, 18(4), 1996, pp. 333-336
Citations number
11
Categorie Soggetti
Engineering,Mathematics
Journal title
Engineering analysis with boundary elements → ACNP
ISSN journal
09557997
Volume
18
Issue
4
Year of publication
1996
Pages
333 - 336
Database
ISI
SICI code
0955-7997(1996)18:4<333:WS2QFS>2.0.ZU;2-I
Abstract
The paper deals with numerical integration of weakly singular integral s arising in 2D BEM. In all, three fundamental solutions are addressed : steady state conduction in moving bodies, axisymmetric potential and axisymmetric elasticity. It is shown how these fundamental solutions can be rearranged to a form suitable for logarithmically weighted Gaus sian integration. An algorithm of evaluating weakly singular integrals for arbitrary location of the singular point is described. (C) 1997 E lsevier Science Ltd.