Title
Clenshaw-Curtis and Gauss-Legendre Quadrature for Certain Boundary Element Integrals
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.
Year
DOI
Venue
2008
10.1137/07070200X
SIAM J. Scientific Computing
Keywords
DocType
Volume
truncation error,preferred quadrature rule,gauss-legendre quadrature,siam review,singular integral,recent article,certain proto-type function,boundary element method,certain boundary element integrals,quadrature rule,asymptotic estimate,numerical analysis,boundary element,clenshaw curtis quadrature,gauss legendre quadrature
Journal
31
Issue
ISSN
Citations 
1
1064-8275
5
PageRank 
References 
Authors
2.41
2
3
Name
Order
Citations
PageRank
David Elliott152.41
Barbara M. Johnston2258.44
Peter R. Johnston38015.20