The paper concentrates on the numerical evaluation of nearly singular kernel integrals commonly encountered in boundary element analysis. Limitations of the method developed recently by Huang and Cruse (1993) for the direct evaluation of nearly singular kernel integrals are analysed and pointed out.
Exact singularity cancelling for the potential kernel in the boundary element method
โ Scribed by Aliabadi, M. H. ;Hall, W. S. ;Hibbs, T. T.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1987
- Tongue
- English
- Weight
- 210 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0748-8025
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The paper attempts to improve the efficiency of a general method developed previously for computing nearly singular kernel integrals. Three new formulations are presented by following an approach similar to that used in the previous method. Their numerical efficiency is compared with the previous me
The singularities near the crack tips of homogeneous materials are monotone of type r ฮฑ and r ฮฑ log ฮด r (depending on the boundary conditions along nonsmooth domains). However, the singularities around the interfacial cracks of the heterogeneous bimaterials are oscillatory of type r ฮฑ sin(ฮต log r ).
The discretization of the boundary in boundary element method generates integrals over elements that can be evaluated using numerical quadrature that approximate the integrands or semi-analytical schemes that approximate the integration path. In semi-analytical integration schemes, the integration p