Article: A hybrid-Trefftz finite element model for Helmholtz problem

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TitleA hybrid-Trefftz finite element model for Helmholtz problem
AuthorsSze, KY1
Cheung, YK1
KeywordsFinite element
Helmholtz
Hybrid
Trefftz
Wave propagation
Issue Date2008
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/
CitationCommunications In Numerical Methods In Engineering, 2008, v. 24 n. 12, p. 2047-2060 [How to Cite?]
DOI: http://dx.doi.org/10.1002/cnm.1094
AbstractIn this paper, a hybrid-Trefftz four-node quadrilateral element model is formulated for Helmholtz problem. In this model, two Helmholtz approximations are defined. The first approximation is obtained by nodal interpolation, and the second approximation is truncated from a Trefftz solution set. A hybrid variational functional is employed to enforce the equality of and other necessary conditions on the two approximations. From the numerical tests, it can be seen that the hybrid model is markedly more accurate than the conventional finite element model. Copyright © 2008 John Wiley & Sons, Ltd.
ISSN1069-8299
2011 Impact Factor: 1.754
DOIhttp://dx.doi.org/10.1002/cnm.1094
ISI Accession Number IDWOS:000261778700031
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorSze, KY
dc.contributor.authorCheung, YK
dc.date.accessioned2010-05-31T03:42:53Z
dc.date.available2010-05-31T03:42:53Z
dc.date.issued2008
dc.description.abstractIn this paper, a hybrid-Trefftz four-node quadrilateral element model is formulated for Helmholtz problem. In this model, two Helmholtz approximations are defined. The first approximation is obtained by nodal interpolation, and the second approximation is truncated from a Trefftz solution set. A hybrid variational functional is employed to enforce the equality of and other necessary conditions on the two approximations. From the numerical tests, it can be seen that the hybrid model is markedly more accurate than the conventional finite element model. Copyright © 2008 John Wiley & Sons, Ltd.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationCommunications In Numerical Methods In Engineering, 2008, v. 24 n. 12, p. 2047-2060 [How to Cite?]
DOI: http://dx.doi.org/10.1002/cnm.1094
dc.identifier.doihttp://dx.doi.org/10.1002/cnm.1094
dc.identifier.epage2060
dc.identifier.hkuros160758
dc.identifier.isiWOS:000261778700031
dc.identifier.issn1069-8299
2011 Impact Factor: 1.754
dc.identifier.issue12
dc.identifier.openurl
dc.identifier.scopuseid_2-s2.0-61749095605
dc.identifier.spage2047
dc.identifier.urihttp://hdl.handle.net/10722/59101
dc.identifier.volume24
dc.languageeng
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/
dc.publisher.placeUnited Kingdom
dc.relation.ispartofCommunications in Numerical Methods in Engineering
dc.relation.referencesReferences in Scopus
dc.rightsCommunications in Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd.
dc.subjectFinite element
dc.subjectHelmholtz
dc.subjectHybrid
dc.subjectTrefftz
dc.subjectWave propagation
dc.titleA hybrid-Trefftz finite element model for Helmholtz problem
dc.typeArticle
Author Affiliations
  1. The University of Hong Kong