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A sinh transformation for evaluating nearly singular boundary element integrals

✍ Scribed by Peter R. Johnston; David Elliott

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
118 KB
Volume
62
Category
Article
ISSN
0029-5981

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πŸ“œ SIMILAR VOLUMES

A sinh transformation for evaluating two
A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
✍ Barbara M. Johnston; Peter R. Johnston; David Elliott πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 192 KB πŸ‘ 1 views

## Abstract A new transformation technique is introduced for evaluating the two‐dimensional 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

Semi-sigmoidal transformations for evalu
Semi-sigmoidal transformations for evaluating weakly singular boundary element integrals
✍ Peter R. Johnston πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 215 KB

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

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.

Error estimation of quadrature rules for
Error estimation of quadrature rules for evaluating singular integrals in boundary element problems
✍ Peter R. Johnston; David Elliott πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 111 KB πŸ‘ 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

A simple device to improve the accuracy
A simple device to improve the accuracy of evaluating weakly singular boundary element integrals
✍ Johnston, Peter R. ;Johnston, Barbara M. πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 63 KB πŸ‘ 1 views

## Abstract The question of the accurate numerical evaluation of weakly singular integrals arising in the boundary element method has attracted considerable recent attention. A popular method is to use a non‐linear transformation with zero derivative at the singular point to adjust the position of