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Article: Spherical-wave based triangular finite element models for axial symmetric Helmholtz problems

TitleSpherical-wave based triangular finite element models for axial symmetric Helmholtz problems
Authors
KeywordsAxisymmetric
Finite element
Helmholtz
Hybrid
Spherical waves
Trefftz
Triangular
Issue Date2011
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
Citation
Finite Elements In Analysis And Design, 2011, v. 47 n. 4, p. 342-350 How to Cite?
AbstractIn this paper, six-node hybrid triangular finite element models are devised for axial symmetric Helmholtz problems. In the formulation, boundary and domain approximations to the Helmholtz field are defined for each element. While the boundary approximation is constructed by nodal interpolation, the domain approximation satisfies the Helmholtz equation and is composed of spherical waves with source points located along the axis of symmetry. To formulate rank sufficient six-node elements, a minimal of six wave modes from three source points are required. Two methods of selecting the source points are attempted. In the first method, the directions of the waves passing through the element are essentially parallel to the three lines connecting the parametric center of the element and its three corner (or side) nodes. In the second method, the directions are essentially equally spaced at 2π/3 interval in the rz-plane. For the attempted examples, the average error ratios of the proposed elements and the conventional element are around 50%. © 2010 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/137345
ISSN
2015 Impact Factor: 2.175
2015 SCImago Journal Rankings: 1.278
ISI Accession Number ID
Funding AgencyGrant Number
Hong Kong Research Grant CouncilHKU 7167 08E
Funding Information:

The support of Hong Kong Research Grant Council in the form of a GRF Grant (HKU 7167 08E) was gratefully acknowledged.

References

 

DC FieldValueLanguage
dc.contributor.authorLiu, GHen_HK
dc.contributor.authorZhang, QHen_HK
dc.contributor.authorSze, KYen_HK
dc.date.accessioned2011-08-26T14:23:31Z-
dc.date.available2011-08-26T14:23:31Z-
dc.date.issued2011en_HK
dc.identifier.citationFinite Elements In Analysis And Design, 2011, v. 47 n. 4, p. 342-350en_HK
dc.identifier.issn0168-874Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/137345-
dc.description.abstractIn this paper, six-node hybrid triangular finite element models are devised for axial symmetric Helmholtz problems. In the formulation, boundary and domain approximations to the Helmholtz field are defined for each element. While the boundary approximation is constructed by nodal interpolation, the domain approximation satisfies the Helmholtz equation and is composed of spherical waves with source points located along the axis of symmetry. To formulate rank sufficient six-node elements, a minimal of six wave modes from three source points are required. Two methods of selecting the source points are attempted. In the first method, the directions of the waves passing through the element are essentially parallel to the three lines connecting the parametric center of the element and its three corner (or side) nodes. In the second method, the directions are essentially equally spaced at 2π/3 interval in the rz-plane. For the attempted examples, the average error ratios of the proposed elements and the conventional element are around 50%. © 2010 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finelen_HK
dc.relation.ispartofFinite Elements in Analysis and Designen_HK
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Finite Elements in Analysis and Design. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Finite Elements in Analysis and Design, 2011, v. 47 n. 4, p. 342-350. DOI: 10.1016/j.finel.2010.12.002-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectAxisymmetricen_HK
dc.subjectFinite elementen_HK
dc.subjectHelmholtzen_HK
dc.subjectHybriden_HK
dc.subjectSpherical wavesen_HK
dc.subjectTrefftzen_HK
dc.subjectTriangularen_HK
dc.titleSpherical-wave based triangular finite element models for axial symmetric Helmholtz problemsen_HK
dc.typeArticleen_HK
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_HK
dc.identifier.authoritySze, KY=rp00171en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.finel.2010.12.002en_HK
dc.identifier.scopuseid_2-s2.0-78650795048en_HK
dc.identifier.hkuros191242en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-78650795048&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume47en_HK
dc.identifier.issue4en_HK
dc.identifier.spage342en_HK
dc.identifier.epage350en_HK
dc.identifier.isiWOS:000286973200003-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridLiu, GH=35320145100en_HK
dc.identifier.scopusauthoridZhang, QH=36995602600en_HK
dc.identifier.scopusauthoridSze, KY=7006735060en_HK
dc.identifier.citeulike8602267-

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