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Clenshaw-Curtis and Gauss-Legendre quadrature for certain boundary element integrals
Citation
Elliott, D and Johnston, BM and Johnston, PR, Clenshaw-Curtis and Gauss-Legendre quadrature for certain boundary element integrals, SIAM Journal on Scientific Computing, 31, (1) pp. 510-530. ISSN 1064-8275 (2008) [Refereed Article]
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Copyright Statement
Copyright © 2008, Society for Industrial and Applied Mathematics
Official URL: http://www.siam.org/journals/sisc.php
Abstract
Following a recent article by Trefethen [SIAM Review, 50 (2008), pp. 67–87], the use
of Clenshaw–Curtis quadrature rather than Gauss–Legendre quadrature for nearly singular integrals
which arise in the boundary element method has been investigated. When these quadrature rules
are used in association with the sinh-transformation, the authors have concluded, after considering
asymptotic estimates of the truncation errors for certain proto-type functions arising in this context,
that Gauss–Legendre quadrature should continue to be the preferred quadrature rule.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Keywords: | Clenshaw-Curtis quadrature, Gauss-Legendre quadrature, boundary element integrals |
| Research Division: | Mathematical Sciences |
| Research Group: | Numerical and computational mathematics |
| Research Field: | Numerical analysis |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the mathematical sciences |
| UTAS Author: | Elliott, D (Professor David Elliott) |
| ID Code: | 55967 |
| Year Published: | 2008 |
| Web of Science® Times Cited: | 6 |
| Deposited By: | Mathematics |
| Deposited On: | 2009-03-17 |
| Last Modified: | 2015-01-27 |
| Downloads: | 4 View Download Statistics |
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