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Conference Paper: Hybrid-Trefftz finite elements for Helmholtz problem

TitleHybrid-Trefftz finite elements for Helmholtz problem
Authors
KeywordsCylindrical Wave
Finite Element
Helmholtz
Hybrid-Trefftz
Plane Wave
Issue Date2010
Citation
Aip Conference Proceedings, 2010, v. 1233 PART 1, p. 389-394 How to Cite?
AbstractIn this paper, our work on formulating hybrid-Trefftz finite element models for Helmholtz problem is briefly reviewed. These elements are devised via a hybrid variational principle and can readily be incorporated into the standard finite element program framework. In the elements, boundary and domain Helmholtz variables are defined. The former is obtained by nodal interpolation and the latter is truncated from wave solution sets. The equality of the two approximations are enforced along the boundary. Both the plane-wave and cylindrical-wave solutions are employed to construct the domain variable. Considerations have been given to securing the robust features of the finite element models including rank sufficiency and invariance. © 2010 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/159017
ISSN
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.contributor.authorLiu, GHen_US
dc.date.accessioned2012-08-08T09:05:09Z-
dc.date.available2012-08-08T09:05:09Z-
dc.date.issued2010en_US
dc.identifier.citationAip Conference Proceedings, 2010, v. 1233 PART 1, p. 389-394en_US
dc.identifier.issn0094-243Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/159017-
dc.description.abstractIn this paper, our work on formulating hybrid-Trefftz finite element models for Helmholtz problem is briefly reviewed. These elements are devised via a hybrid variational principle and can readily be incorporated into the standard finite element program framework. In the elements, boundary and domain Helmholtz variables are defined. The former is obtained by nodal interpolation and the latter is truncated from wave solution sets. The equality of the two approximations are enforced along the boundary. Both the plane-wave and cylindrical-wave solutions are employed to construct the domain variable. Considerations have been given to securing the robust features of the finite element models including rank sufficiency and invariance. © 2010 American Institute of Physics.en_US
dc.languageengen_US
dc.relation.ispartofAIP Conference Proceedingsen_US
dc.subjectCylindrical Waveen_US
dc.subjectFinite Elementen_US
dc.subjectHelmholtzen_US
dc.subjectHybrid-Trefftzen_US
dc.subjectPlane Waveen_US
dc.titleHybrid-Trefftz finite elements for Helmholtz problemen_US
dc.typeConference_Paperen_US
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_US
dc.identifier.authoritySze, KY=rp00171en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1063/1.3452202en_US
dc.identifier.scopuseid_2-s2.0-77955755676en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77955755676&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume1233en_US
dc.identifier.issuePART 1en_US
dc.identifier.spage389en_US
dc.identifier.epage394en_US
dc.identifier.isiWOS:000283003800066-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US
dc.identifier.scopusauthoridLiu, GH=35320145100en_US

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