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dc.contributor.authorJohnston, Barbara M
dc.contributor.authorJohnston, Peter R
dc.contributor.authorElliott, David
dc.date.accessioned2017-05-03T11:57:24Z
dc.date.available2017-05-03T11:57:24Z
dc.date.issued2013
dc.date.modified2014-02-28T02:15:02Z
dc.identifier.issn0377-0427
dc.identifier.doi10.1016/j.cam.2012.12.018
dc.identifier.urihttp://hdl.handle.net/10072/54329
dc.description.abstractA new method (the sinh-sigmoidal method) is proposed for the numerical evaluation of both nearly weakly and nearly strongly singular integrals on triangular boundary elements. These integrals arise in the 3D boundary element method when the source point is very close to the element of integration. The new polar coordinate-based method introduces a sinh transformation in the radial direction and a sigmoidal transformation in the angular direction, before the application of Gaussian quadrature. It also uses approximately twice as many quadrature points in the angular direction as in the radial direction, in response to a finding that the evaluation of these types of integrals is particularly sensitive to the placement of the quadrature points in the angular direction. Comparisons with various other methods demonstrate its accuracy and competitiveness. A major advantage of the new method is its ease of implementation and applicability to a wide class of integrals.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent146685 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherElsevier
dc.publisher.placeNetherlands
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom148
dc.relation.ispartofpageto161
dc.relation.ispartofjournalJournal of Computational and Applied Mathematics
dc.relation.ispartofvolume245
dc.rights.retentionY
dc.subject.fieldofresearchApplied mathematics
dc.subject.fieldofresearchApproximation theory and asymptotic methods
dc.subject.fieldofresearchNumerical and computational mathematics
dc.subject.fieldofresearchcode4901
dc.subject.fieldofresearchcode490101
dc.subject.fieldofresearchcode4903
dc.titleA new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, School of Natural Sciences
gro.rights.copyright© 2013 Elsevier B.V. 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.issued2013
gro.hasfulltextFull Text
gro.griffith.authorJohnston, Barbara M.
gro.griffith.authorJohnston, Peter R.


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