File Download
  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Hybrid quadrilateral finite element models for axial symmetric Helmholtz problem

TitleHybrid quadrilateral finite element models for axial symmetric Helmholtz problem
Authors
KeywordsAxial symmetric
Helmholtz hybrid
Spherical-wave finite element
Issue Date2012
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
Citation
Finite Elements in Analysis and Design, 2012, v. 52, p. 1-10 How to Cite?
AbstractThis paper is a continuation of the previous work in which six-node triangular finite element models for the axial symmetric Helmholtz problem are devised by using a hybrid functional and the spherical-wave modes [1]. The six-node models can readily be incorporated into the standard finite element program framework and are typically ∼50% less erroneous than their conventional or, equivalently, continuous Galerkin counterpart. In this paper, four-node and eight-node quadrilateral models are devised. Two ways of selecting the spherical-wave modes are attempted. In the first way, a spherical-wave pole is selected such that it is equal-distant from an opposing pair of element nodes. In the second way, the directions of the spherical-waves passing through the element origin are equal-spaced with one of the directions bisecting the two parametric axes of the element. Examples show that both ways lead to elements that yield very similar predictions. Furthermore, four-node and eight-node hybrid elements are typically ∼50% and ∼70% less erroneous than their conventional counterparts, respectively. © 2011 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/157163
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 the GRF grant HKU 7167/08E is gratefully acknowledged. Majority of the work was completed when the second author was a postdoctoral fellow at the University of Hong Kong.

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.contributor.authorZhang, QHen_US
dc.contributor.authorLiu, GHen_US
dc.date.accessioned2012-08-08T08:45:36Z-
dc.date.available2012-08-08T08:45:36Z-
dc.date.issued2012en_US
dc.identifier.citationFinite Elements in Analysis and Design, 2012, v. 52, p. 1-10en_US
dc.identifier.issn0168-874Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/157163-
dc.description.abstractThis paper is a continuation of the previous work in which six-node triangular finite element models for the axial symmetric Helmholtz problem are devised by using a hybrid functional and the spherical-wave modes [1]. The six-node models can readily be incorporated into the standard finite element program framework and are typically ∼50% less erroneous than their conventional or, equivalently, continuous Galerkin counterpart. In this paper, four-node and eight-node quadrilateral models are devised. Two ways of selecting the spherical-wave modes are attempted. In the first way, a spherical-wave pole is selected such that it is equal-distant from an opposing pair of element nodes. In the second way, the directions of the spherical-waves passing through the element origin are equal-spaced with one of the directions bisecting the two parametric axes of the element. Examples show that both ways lead to elements that yield very similar predictions. Furthermore, four-node and eight-node hybrid elements are typically ∼50% and ∼70% less erroneous than their conventional counterparts, respectively. © 2011 Elsevier B.V. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finelen_US
dc.relation.ispartofFinite Elements in Analysis and Designen_US
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, 2012, v. 52, p. 1-10. DOI: 10.1016/j.finel.2011.12.001-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectAxial symmetricen_US
dc.subjectHelmholtz hybriden_US
dc.subjectSpherical-wave finite elementen_US
dc.titleHybrid quadrilateral finite element models for axial symmetric Helmholtz problemen_US
dc.typeArticleen_US
dc.identifier.emailSze, KY: kysze@hku.hken_US
dc.identifier.emailZhang, QH: zhangqh@hku.hk-
dc.identifier.authoritySze, KY=rp00171en_US
dc.description.naturepostprinten_US
dc.identifier.doi10.1016/j.finel.2011.12.001en_US
dc.identifier.scopuseid_2-s2.0-84855221299en_US
dc.identifier.hkuros206007-
dc.identifier.volume52en_US
dc.identifier.issue2en_US
dc.identifier.spage1en_US
dc.identifier.epage10en_US
dc.identifier.isiWOS:000300236300001-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridLiu, GH=35320145100en_US
dc.identifier.scopusauthoridZhang, QH=36995602600en_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US
dc.identifier.citeulike10187785-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats