In this paper we consider singular and hypersingular integral equations associated with 2D boundary value problems deΓΏned on domains whose boundaries have piecewise smooth parametric representations. In particular, given any (polynomial) local basis, we show how to compute e ciently all integrals re
Hypersingular boundary integral equations and the approximation of the stress tensor
β Scribed by Alberto Salvadori
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 313 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2041
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## Abstract The symmetric Galerkin boundary element method is used to solve boundary value problems by keeping the symmetric nature of the matrix obtained after discretization. The matrix elements are obtained from a double integral involving the double derivative of Green's operator, which is high
Complex boundary integral equations (Fredholm-type regular or Cauchy-type singular or even Hadamard-Mangler-type hypersingular) have been used for the numerical solution of general plane isotropic elasticity problems. The related Muskhelishvili and, particularly, Lauricella-Sherman equations are fam