✦ LIBER ✦
Direct evaluation of double singular integrals and new free terms in 2D (symmetric) Galerkin BEM
✍ Scribed by M. Bonnet; M. Guiggiani
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 325 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
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.