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Article: Multi-field three-node triangular finite element model for helmholtz problem

TitleMulti-field three-node triangular finite element model for helmholtz problem
Authors
Sze, KYZhang, QHLiu, GH
KeywordsFinite Element
Helmholtz
Hybrid
Multi-Field
Trefftz
Triangular
Issue Date2011
PublisherWorld Scientific Publishing Co Pte Ltd. The Journal's web site is located at http://www.worldscinet.com/jca/jca.shtml
Citation
Journal of Computational Acoustics, 2011, v. 19 n. 3, p. 317-334 How to Cite?
DOI: http://dx.doi.org/10.1142/S0218396X11004353
AbstractIn this paper, four three-node triangular finite element models which can readily be incorporated into the standard finite element program framework are devised via a multi-field variational functional for the bounded plane Helmholtz problem. In the models, boundary and domain fields are independently assumed. The former is constructed by nodal interpolation and the latter comprises nonsingular solutions of the Helmholtz equation. The equality of the two fields are enforced along the element boundary. Among the four devised models, the most accurate one is 1/3 to 1/2 less erroneous than the conventional single-field model in most examples. © 2011 IMACS.
Persistent Identifierhttp://hdl.handle.net/10722/157143
ISSN
0218-396X
2019 Impact Factor: 1.471
2019 SCImago Journal Rankings: 0.389
ISI Accession Number ID
WOS:000295039300005
Funding AgencyGrant Number
Hong Kong Research Grant CouncilHKU 7161 08E
Funding Information:

This work is supported by the Hong Kong Research Grant Council in the form of a GRF grant (HKU 7161 08E).

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.contributor.authorZhang, QHen_US
dc.contributor.authorLiu, GHen_US
dc.date.accessioned2012-08-08T08:45:31Z-
dc.date.available2012-08-08T08:45:31Z-
dc.date.issued2011en_US
dc.identifier.citationJournal of Computational Acoustics, 2011, v. 19 n. 3, p. 317-334en_US
dc.identifier.issn0218-396Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/157143-
dc.description.abstractIn this paper, four three-node triangular finite element models which can readily be incorporated into the standard finite element program framework are devised via a multi-field variational functional for the bounded plane Helmholtz problem. In the models, boundary and domain fields are independently assumed. The former is constructed by nodal interpolation and the latter comprises nonsingular solutions of the Helmholtz equation. The equality of the two fields are enforced along the element boundary. Among the four devised models, the most accurate one is 1/3 to 1/2 less erroneous than the conventional single-field model in most examples. © 2011 IMACS.en_US
dc.languageengen_US
dc.publisherWorld Scientific Publishing Co Pte Ltd. The Journal's web site is located at http://www.worldscinet.com/jca/jca.shtmlen_US
dc.relation.ispartofJournal of Computational Acousticsen_US
dc.rightsElectronic version of an article published as Journal of Computational Acoustics, 2011, v. 19 n. 3, p. 317-334. DOI: 10.1142/S0218396X11004353 © copyright World Scientific Publishing Company. Journal URL: http://www.worldscinet.com/jca/jca.shtml-
dc.subjectFinite Elementen_US
dc.subjectHelmholtzen_US
dc.subjectHybriden_US
dc.subjectMulti-Fielden_US
dc.subjectTrefftzen_US
dc.subjectTriangularen_US
dc.titleMulti-field three-node triangular finite element model for helmholtz problemen_US
dc.typeArticleen_US
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_US
dc.identifier.authoritySze, KY=rp00171en_US
dc.description.naturepostprinten_US
dc.identifier.doi10.1142/S0218396X11004353en_US
dc.identifier.scopuseid_2-s2.0-80053039627en_US
dc.identifier.hkuros206004-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-80053039627&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume19en_US
dc.identifier.issue3en_US
dc.identifier.spage317en_US
dc.identifier.epage334en_US
dc.identifier.isiWOS:000295039300005-
dc.publisher.placeSingaporeen_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US
dc.identifier.scopusauthoridZhang, QH=36995602600en_US
dc.identifier.scopusauthoridLiu, GH=35320145100en_US
dc.identifier.issnl0218-396X-

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