๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the evaluation of nearly singular kernel integrals in boundary element analysis

โœ Scribed by Wu, Shukai

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
369 KB
Volume
11
Category
Article
ISSN
1069-8299

No coin nor oath required. For personal study only.

โœฆ Synopsis

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. A general method is developed that extends the idea for all practical cases. Example results are presented, demonstrating the effectiveness of the method.

๐Ÿ“œ SIMILAR VOLUMES

On the evaluation of nearly singular ker
On the evaluation of nearly singular kernel integrals in boundary element analysis-some improved formulations
โœ Wu, S. ;Lu, Pan-An ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 449 KB ๐Ÿ‘ 2 views

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

Analytical integration of singular kerne
Analytical integration of singular kernels in symmetric boundary element analysis of Kirchhoff plates
โœ M. Mazza; L. Leonetti; M. Aristodemo ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 390 KB

## Abstract An analytical integration method for evaluating the singular integrals arising in the construction of symmetric boundary element models is proposed, referring to the analysis of Kirchhoff plates. Kernels involved in the symmetric boundary formulation of Kirchhoff plates exhibit singular

Error estimation of quadrature rules for
Error estimation of quadrature rules for evaluating singular integrals in boundary element problems
โœ Peter R. Johnston; David Elliott ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 111 KB ๐Ÿ‘ 3 views

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