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dc.contributor.authorJohnston, PR
dc.contributor.authorElliott, D
dc.date.accessioned2017-05-03T13:56:22Z
dc.date.available2017-05-03T13:56:22Z
dc.date.issued2002
dc.date.modified2009-11-24T05:22:21Z
dc.identifier.issn0377-0427
dc.identifier.doi10.1016/S0377-0427(02)00357-6
dc.identifier.urihttp://hdl.handle.net/10072/6996
dc.description.abstractAccurate numerical integration of line integrals is of fundamental importance for the 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 integrals which arise are often evaluated in another way, sometimes using a different integration method with different nodes and weights. This paper presents a straightforward transformation to improve the accuracy of evaluating singular integrals. The transformation is, in a sense, a generalisation of the popular method of Telles with the underlying idea being to utilise the same Gaussian quadrature points as used for evaluating nonsingular integrals in a typical boundary element method implementation. The new transformation is also shown to be equivalent to other existing transformations in certain situations. Comparison of the new method with existing coordinate transformation techniques shows that a more accurate evaluation of weakly singular integrals can be obtained. The technique can also be extended to evaluate certain Hadamard finite-part integrals. Based on the observation of several integrals considered, guidelines are suggested for the best transformation order to use (i.e. the degree to which nodes should be clustered near the singular point).
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent264606 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherElsevier
dc.publisher.placeNetherlands
dc.publisher.urihttp://www.elsevier.com/wps/find/journaldescription.cws_home/505613/description#description
dc.relation.ispartofpagefrom231
dc.relation.ispartofpageto251
dc.relation.ispartofjournalJournal of Computational and Applied Mathematics
dc.relation.ispartofvolume146
dc.subject.fieldofresearchApplied mathematics
dc.subject.fieldofresearchNumerical and computational mathematics
dc.subject.fieldofresearchcode4901
dc.subject.fieldofresearchcode4903
dc.titleTransformations for evaluating singular boundary element integrals
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, School of Natural Sciences
gro.rights.copyright© 2002 Elsevier. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.date.issued2002
gro.hasfulltextFull Text
gro.griffith.authorJohnston, Peter R.


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