A numerical algorithm for double surface integrals over quadrilaterals with a 1/R singularity
✍ Scribed by Wang, Weiping ;Atalla, Noureddine
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 117 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1069-8299
No coin nor oath required. For personal study only.
✦ Synopsis
A new algorithm for the double surface integral with a 1aR singularity over ¯at or curved quadrilateral elements is presented. This algorithm is of special interest in the numerical implementation of the variational boundary element methods for acoustic radiation of ®nite-volume bodies. The presented algorithm takes the factor of singularity in an integrand as the weight function, and approximates the integral by the area of the surface element times a weighted average of the remaining integrand at a number of the integral points in the element domain. A numerical example demonstrates the accuracy of the proposed algorithm.