File Download
  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Stabilized conforming nodal integration: Exactness and variational justification

TitleStabilized conforming nodal integration: Exactness and variational justification
Authors
KeywordsGalerkin
Hybrid-stress
Integration
Mesh-free
Nodal integration
Stabilized conforming
Issue Date2004
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
Citation
Finite Elements In Analysis And Design, 2004, v. 41 n. 2, p. 147-171 How to Cite?
AbstractIn most Galerkin mesh-free methods, background integration cells partitioning the problem domain are required to evaluate the weak form. It is therefore worthwhile to consider these methods using the notions of domain decomposition with the integration cells being the subdomains. Presuming that the analytical solution is admissible in the trial solution, domain and boundary integration exactness, which depend on the orders of the employed trial solution and the required solution exactness, are identified for the strict satisfaction of traction reciprocity and natural boundary condition in the weak form. Unfortunately, trial solutions constructed by many mesh-free approximants contain non-polynomial terms which cannot be exactly integrated by Gaussian quadratures. Recently, stabilized conforming (SC) nodal integration for Galerkin mesh-free methods was proposed and illustrated to be linearly exact. This paper will discuss how linear exactness is ensured and how spurious oscillation encountered by direct nodal integration is suppressed in SC nodal integration from a domain decomposition point of view. Moreover, it will be shown that SC nodal integration can be formulated by the Hellinger-Reissner Principle and thus justified in the classical variational sense. Applications of the method to straight beam, plate and curved beam problems are presented. © 2004 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/54308
ISSN
2015 Impact Factor: 2.175
2015 SCImago Journal Rankings: 1.278
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_HK
dc.contributor.authorChen, JSen_HK
dc.contributor.authorSheng, Nen_HK
dc.contributor.authorLiu, XHen_HK
dc.date.accessioned2009-04-03T07:42:50Z-
dc.date.available2009-04-03T07:42:50Z-
dc.date.issued2004en_HK
dc.identifier.citationFinite Elements In Analysis And Design, 2004, v. 41 n. 2, p. 147-171en_HK
dc.identifier.issn0168-874Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/54308-
dc.description.abstractIn most Galerkin mesh-free methods, background integration cells partitioning the problem domain are required to evaluate the weak form. It is therefore worthwhile to consider these methods using the notions of domain decomposition with the integration cells being the subdomains. Presuming that the analytical solution is admissible in the trial solution, domain and boundary integration exactness, which depend on the orders of the employed trial solution and the required solution exactness, are identified for the strict satisfaction of traction reciprocity and natural boundary condition in the weak form. Unfortunately, trial solutions constructed by many mesh-free approximants contain non-polynomial terms which cannot be exactly integrated by Gaussian quadratures. Recently, stabilized conforming (SC) nodal integration for Galerkin mesh-free methods was proposed and illustrated to be linearly exact. This paper will discuss how linear exactness is ensured and how spurious oscillation encountered by direct nodal integration is suppressed in SC nodal integration from a domain decomposition point of view. Moreover, it will be shown that SC nodal integration can be formulated by the Hellinger-Reissner Principle and thus justified in the classical variational sense. Applications of the method to straight beam, plate and curved beam problems are presented. © 2004 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_HK
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.rightsFinite Elements in Analysis and Design. Copyright © Elsevier BV.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectGalerkinen_HK
dc.subjectHybrid-stressen_HK
dc.subjectIntegrationen_HK
dc.subjectMesh-freeen_HK
dc.subjectNodal integrationen_HK
dc.subjectStabilized conformingen_HK
dc.titleStabilized conforming nodal integration: Exactness and variational justificationen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0168-874X&volume=41&issue=1&spage=147&epage=171&date=2004&atitle=Stabilized+conforming+nodal+integration:+exactness+and+variational+justification+en_HK
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_HK
dc.identifier.authoritySze, KY=rp00171en_HK
dc.description.naturepostprinten_HK
dc.identifier.doi10.1016/j.finel.2004.05.003en_HK
dc.identifier.scopuseid_2-s2.0-5144221770en_HK
dc.identifier.hkuros100149-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-5144221770&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume41en_HK
dc.identifier.issue2en_HK
dc.identifier.spage147en_HK
dc.identifier.epage171en_HK
dc.identifier.isiWOS:000224513800003-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridSze, KY=7006735060en_HK
dc.identifier.scopusauthoridChen, JS=7501883967en_HK
dc.identifier.scopusauthoridSheng, N=55259181300en_HK
dc.identifier.scopusauthoridLiu, XH=7409294041en_HK

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats