Exact Gaussian quadrature methods for near-singular integrals in the boundary element method
โ Scribed by Earlin Lutz
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 991 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0955-7997
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๐ SIMILAR VOLUMES
The e cient numerical evaluation of integrals arising in the boundary element method is of considerable practical importance. The superiority of the use of sigmoidal and semi-sigmoidal transformations together with Gauss-Legendre quadrature in this context has already been well-demonstrated numerica
The evaluation of the inverse distance singular integrand which occurs in the three-dimensional boundary element formulation of potential problems is treated using weighted Gaussian integration. Three methods are investigated. The first involves repeated use of a one-dimensional Gaussian formula in
AbstractwThree numerical adaptive integration schemes for almost singular functions occurring in the Boundary Element Method, which use subdivision of a domain or moving of nodes, are discussed. Some numerical examples show efficiency of the methods.