A numerical quadrature for nearly singular boundary element integrals
β Scribed by Ken Hayami; Hideki Matsumoto
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 808 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0955-7997
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A general numerical method is proposed to compute nearly singular integrals arising in the boundary integral equations (BIEs). The method provides a new implementation of the conventional distance transformation technique to make the result stable and accurate no matter where the projection point is
## Abstract A new transformation technique is introduced for evaluating the twoβdimensional nearly singular integrals, which arise in the solution of Laplace's equation in three dimensions, using the boundary element method, when the source point is very close to the element of integration. The int
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