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

TitleA hybrid-Trefftz finite element model for Helmholtz problem
Authors
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/
Citation
Communications In Numerical Methods In Engineering, 2008, v. 24 n. 12, p. 2047-2060 How to Cite?
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.
Persistent Identifierhttp://hdl.handle.net/10722/59101
ISSN
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-05-31T03:42:53Z-
dc.date.available2010-05-31T03:42:53Z-
dc.date.issued2008en_HK
dc.identifier.citationCommunications In Numerical Methods In Engineering, 2008, v. 24 n. 12, p. 2047-2060en_HK
dc.identifier.issn1069-8299en_HK
dc.identifier.urihttp://hdl.handle.net/10722/59101-
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.en_HK
dc.languageengen_HK
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/1069-8299/en_HK
dc.relation.ispartofCommunications in Numerical Methods in Engineeringen_HK
dc.rightsCommunications in Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd.en_HK
dc.subjectFinite elementen_HK
dc.subjectHelmholtzen_HK
dc.subjectHybriden_HK
dc.subjectTrefftzen_HK
dc.subjectWave propagationen_HK
dc.titleA hybrid-Trefftz finite element model for Helmholtz problemen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1069-8299&volume=24&issue=12&spage=2047&epage=2060&date=2008&atitle=A+hybrid-Trefftz+finite+element+model+for+Helmholtz+problemen_HK
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authoritySze, KY=rp00171en_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/cnm.1094en_HK
dc.identifier.scopuseid_2-s2.0-61749095605en_HK
dc.identifier.hkuros160758en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-61749095605&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume24en_HK
dc.identifier.issue12en_HK
dc.identifier.spage2047en_HK
dc.identifier.epage2060en_HK
dc.identifier.isiWOS:000261778700031-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridSze, KY=7006735060en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK

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