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Communication Dans Un Congrès Année : 2002

Direct evaluation of double hypersingular integrals and new free terms in 2D symmetric Galerkin BEM

Résumé

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.

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hal-00117694 , version 1 (03-12-2006)

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Marc Bonnet, Massimo Guiggiani. Direct evaluation of double hypersingular integrals and new free terms in 2D symmetric Galerkin BEM. IABEM 2002 conference, 2002, Austin, United States. ⟨10.1016/S0045-7825(03)00286-X⟩. ⟨hal-00117694⟩
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