A new transformation technique for evaluating nearly singular integrals
β Scribed by Wenjing Ye
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 512 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0178-7675
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## 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
## Abstract Accurate numerical evaluation of integrals arising in the boundary element method is fundamental to achieving useful results via this solution technique. In this paper, a number of techniques are considered to evaluate the weakly singular integrals which arise in the solution of Laplace
Accurate numerical integration of line integrals is of fundamental importance to reliable implementation of the boundary element method. Usually, the regular integrals arising from a boundary element method implementation are evaluated using standard Gaussian quadrature. However, the singular integr