V. Sladek et al., Optimal transformations of the integration variables in computation of singular integrals in BEM, INT J NUM M, 47(7), 2000, pp. 1263-1283
Citations number
10
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
The paper deals with numerical integrations of singular integrals in BEMs.
It is shown that from the point of view of numerical integrations, the only
serious problem which can arise is due to weakly singular and nearly singu
lar integrals. We pay attention to the study of numerical integrations of n
early singular integrals by using transformations of the integration variab
les. Theoretical considerations and numerical experiments are performed for
the integrals occurring in 2-D BEM formulations. The use of optimal transf
ormation is confronted with the optimization of a polynomial transformation
. Copyright (C) 2000 John Wiley & Sons, Ltd.