The present paper deals with a boundary element formulation based on the traction elasticity boundary integral equation (potential derivative for Laplace's problem). The hypersingular and strongly singular integrals appearing in the formulation are analytically transformed to yield line and surface
Calculation of strongly singular and hypersingular surface integrals
β Scribed by R. Klees; R. Lehmann
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 442 KB
- Volume
- 72
- Category
- Article
- ISSN
- 1432-1394
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π SIMILAR VOLUMES
Three stages are involved in the formulation of a typical direct boundary element method: derivation of an integral representation; taking a Limit To the Boundary (LTB) so as to obtain an integral equation; and discretization. We examine the second and third stages, focussing on strategies that are
Strongly singular integrals which are unbounded in the sense of Lebesgue appear naturally in boundary integral equations. Extending the analytic continuation method we derive finite part values for a class of singular integrals which arise frequently in practice. In connection with boundary integral