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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
 
DOIhttp://dx.doi.org/10.1002/cnm.1094
 
ISI Accession Number IDWOS:000261778700031
 
ReferencesReferences in Scopus
 
DC FieldValue
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
 
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
 
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Author Affiliations
  1. The University of Hong Kong