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Article: Optimization of tetrahedral meshes based on element shape measures

TitleOptimization of tetrahedral meshes based on element shape measures
Authors
Issue Date1997
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
Citation
Computers And Structures, 1997, v. 63 n. 5, p. 951-961 How to Cite?
AbstractAn element shape optimization procedure is presented, which can be considered as a general post-treatment process for three-dimensional tetrahedral meshes generated by Delaunay triangulation or refinement based on the subdivision of elements. The tetrahedral mesh is optimized with respect to a given element shape measure through a combined iterative scheme of local transformations and node relaxation. From the examples studied, a substantial gain in quality could be achieved in two cycles of iterations based on any valid shape measures, minimum solid angle θ, radius ratio ρ and gamma coefficient γ. Although further research and evidence are required for a more definite conclusion, the γ-coefficient which is more economical to compute, seems to give better results than the other two shape measures. The largest mesh processed which, consists of 67,326 nodes and 360,824 elements, required a CPU time of a little more than 3 min on a IBM Power Station 3BT. © 1997 Elsevier Science Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/71545
ISSN
2015 Impact Factor: 2.425
2015 SCImago Journal Rankings: 1.710
References

 

DC FieldValueLanguage
dc.contributor.authorLo, SHen_HK
dc.date.accessioned2010-09-06T06:32:57Z-
dc.date.available2010-09-06T06:32:57Z-
dc.date.issued1997en_HK
dc.identifier.citationComputers And Structures, 1997, v. 63 n. 5, p. 951-961en_HK
dc.identifier.issn0045-7949en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71545-
dc.description.abstractAn element shape optimization procedure is presented, which can be considered as a general post-treatment process for three-dimensional tetrahedral meshes generated by Delaunay triangulation or refinement based on the subdivision of elements. The tetrahedral mesh is optimized with respect to a given element shape measure through a combined iterative scheme of local transformations and node relaxation. From the examples studied, a substantial gain in quality could be achieved in two cycles of iterations based on any valid shape measures, minimum solid angle θ, radius ratio ρ and gamma coefficient γ. Although further research and evidence are required for a more definite conclusion, the γ-coefficient which is more economical to compute, seems to give better results than the other two shape measures. The largest mesh processed which, consists of 67,326 nodes and 360,824 elements, required a CPU time of a little more than 3 min on a IBM Power Station 3BT. © 1997 Elsevier Science Ltd.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstrucen_HK
dc.relation.ispartofComputers and Structuresen_HK
dc.titleOptimization of tetrahedral meshes based on element shape measuresen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0045-7949&volume=63 &issue=5&spage=951 &epage= 961&date=1997&atitle=Optimization+of+tetrahedral+meshes+based+on+element+shape+measuresen_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0031168096en_HK
dc.identifier.hkuros42446en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0031168096&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume63en_HK
dc.identifier.issue5en_HK
dc.identifier.spage951en_HK
dc.identifier.epage961en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK

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