In this paper a new general algorithm is developed for the direct evaluation of all singular double integrals arising in the 2D Galerkin BEM, including those with hypersingular kernels. A distinguishing feature of the proposed method is that double singular integrals are treated as a whole, that is, not as inner integrals followed by outer ones. Therefore, when applied to the symmetric Galerkin BEM, the proposed technique is strictly symmetry preserving. Moreover, a careful analysis of the limiting process is performed which shows that some new free terms may arise. (C) 2003 Elsevier Science B.V. All rights reserved.
|Autori interni:||GUIGGIANI, MASSIMO|
|Autori:||Bonnet M; Guiggiani M|
|Titolo:||Direct evaluation of double singular integrals and new free terms in 2D (symmetric) Galerkin BEM|
|Anno del prodotto:||2003|
|Digital Object Identifier (DOI):||10.1016/S0045-7825(03)00286-X|
|Appare nelle tipologie:||1.1 Articolo in rivista|