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Article: 3D anisotropic mesh refinement in compliance with a general metric specification

Title3D anisotropic mesh refinement in compliance with a general metric specification
Authors
KeywordsAnisotropic refinement
Tetrahedron
Three-dimensional finite element mesh generation
Issue Date2001
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
Citation
Finite Elements In Analysis And Design, 2001, v. 38 n. 1, p. 3-19 How to Cite?
AbstractA simple and efficient anisotropic refinement procedure for the three-dimensional tetrahedral element mesh based on successive bisection of edges is proposed. Refinement is done by dividing lines of the mesh based on the lengths calculated on three points as specified by the metric tensor along the direction of the line. To obtain the best mesh quality, the subdivision of line segments is performed in the sequence according to the length of the line segments to be divided. Such an order of priority can be determined by a simple sorting process on all the line segments for which refinement is needed. This list of ordered line segments has to be updated from time to time to take into account the new line segments generated during the subdivision process. From the examples studied, the CPU time for mesh refinement seems to bear a linear relationship with the number of elements generated, with a refinement rate of up to 30000 elements/s on an IBM Power Station 3BT. Shape optimization procedures can be applied to the refined mesh to further improve the quality of the elements. The refinement scheme is useful as part of a general three-dimensional mesh generation package, or as the mesh refinement module in an adaptive finite element analysis. © 2001 Elsevier Science B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/118132
ISSN
2015 Impact Factor: 2.175
2015 SCImago Journal Rankings: 1.278
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLo, SHen_HK
dc.date.accessioned2010-09-26T07:50:34Z-
dc.date.available2010-09-26T07:50:34Z-
dc.date.issued2001en_HK
dc.identifier.citationFinite Elements In Analysis And Design, 2001, v. 38 n. 1, p. 3-19en_HK
dc.identifier.issn0168-874Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/118132-
dc.description.abstractA simple and efficient anisotropic refinement procedure for the three-dimensional tetrahedral element mesh based on successive bisection of edges is proposed. Refinement is done by dividing lines of the mesh based on the lengths calculated on three points as specified by the metric tensor along the direction of the line. To obtain the best mesh quality, the subdivision of line segments is performed in the sequence according to the length of the line segments to be divided. Such an order of priority can be determined by a simple sorting process on all the line segments for which refinement is needed. This list of ordered line segments has to be updated from time to time to take into account the new line segments generated during the subdivision process. From the examples studied, the CPU time for mesh refinement seems to bear a linear relationship with the number of elements generated, with a refinement rate of up to 30000 elements/s on an IBM Power Station 3BT. Shape optimization procedures can be applied to the refined mesh to further improve the quality of the elements. The refinement scheme is useful as part of a general three-dimensional mesh generation package, or as the mesh refinement module in an adaptive finite element analysis. © 2001 Elsevier Science 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.subjectAnisotropic refinementen_HK
dc.subjectTetrahedronen_HK
dc.subjectThree-dimensional finite element mesh generationen_HK
dc.title3D anisotropic mesh refinement in compliance with a general metric specificationen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0168-874X&volume=&spage=&epage=&date=2000&atitle=3D+anisotropic+mesh+refinement+in+compliance+with+a+general+metric+specificationen_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0168-874X(01)00051-8en_HK
dc.identifier.scopuseid_2-s2.0-0035545872en_HK
dc.identifier.hkuros61653en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035545872&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume38en_HK
dc.identifier.issue1en_HK
dc.identifier.spage3en_HK
dc.identifier.epage19en_HK
dc.identifier.isiWOS:000172170400001-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.citeulike5821134-

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