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Accurate numerical integration of singular boundary element kernels over boundaries with curvature

✍ Scribed by Meng H. Lean; A. Wexler

Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
867 KB
Volume
21
Category
Article
ISSN
0029-5981

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πŸ“œ SIMILAR VOLUMES

On the evaluation of nearly singular ker
On the evaluation of nearly singular kernel integrals in boundary element analysis
✍ Wu, Shukai πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 369 KB πŸ‘ 2 views

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.

Analytical integration of singular kerne
Analytical integration of singular kernels in symmetric boundary element analysis of Kirchhoff plates
✍ M. Mazza; L. Leonetti; M. Aristodemo πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 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

On non-linear transformations for accura
On non-linear transformations for accurate numerical evaluation of weakly singular boundary integrals
✍ Krishna M. Singh; Masataka Tanaka πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 171 KB

## Abstract This paper presents a study of the performance of the non‐linear co‐ordinate transformations in the numerical integration of weakly singular boundary integrals. A comparison of the smoothing property, numerical convergence and accuracy of the available non‐linear polynomial transformati

On the evaluation of nearly singular ker
On the evaluation of nearly singular kernel integrals in boundary element analysis-some improved formulations
✍ Wu, S. ;Lu, Pan-An πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 449 KB πŸ‘ 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