Show simple item record

dc.contributor.authorElliott, David
dc.contributor.authorJohnston, Peter R
dc.contributor.editorRoland W Lewis
dc.date.accessioned2017-05-03T13:56:26Z
dc.date.available2017-05-03T13:56:26Z
dc.date.issued2008
dc.date.modified2012-02-10T02:37:21Z
dc.identifier.issn0029-5981
dc.identifier.doi10.1002/nme.2244
dc.identifier.urihttp://hdl.handle.net/10072/22494
dc.description.abstractA sinh transformation has recently been proposed to improve the numerical accuracy of evaluating nearly singular integrals using Gauss-Legendre quadrature. It was shown that the transformation could improve the accuracy of evaluating such integrals, which arise in the boundary element method, by several orders of magnitude. Here, this transformation is extended in an iterative fashion to allow the accurate evaluation of similar types of integrals that have more spiked integrands. Results show that one iteration of this sinh transformation is preferred for nearly weakly singular integrals, whereas two iterations lead to several orders of magnitude improvement in the evaluation of nearly strongly singular integrals. The same observation applies when considering integrals of derivatives of the two-dimensional boundary element kernel. However, for these integrals, more iterations are required as the distance from the source point to the boundary element decreases.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent101732 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherJohn Wiley & Sons Ltd.
dc.publisher.placeUnited Kingdom
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom43
dc.relation.ispartofpageto57
dc.relation.ispartofissue1
dc.relation.ispartofjournalInternational Journal for Numerical Methods in Engineering
dc.relation.ispartofvolume75
dc.rights.retentionY
dc.subject.fieldofresearchNumerical analysis
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode490302
dc.subject.fieldofresearchcode40
dc.titleThe iterated sinh transformation
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2008 John Wiley & Sons, Ltd. This is the pre-peer reviewed version of the following article: The iterated sinh transformation International Journal for Numerical Methods in Engineering, Vol. 75(1), 2008, pp. 43-57, which has been published in final form at http://dx.doi.org/10.1002/nme.2244
gro.date.issued2008
gro.hasfulltextFull Text
gro.griffith.authorJohnston, Peter R.


Files in this item

This item appears in the following Collection(s)

  • Journal articles
    Contains articles published by Griffith authors in scholarly journals.

Show simple item record