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Article: 3D anisotropic mesh refinement in compliance with a general metric specification
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Title3D anisotropic mesh refinement in compliance with a general metric specification
 
AuthorsLo, SH1
 
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
 
CitationFinite Elements In Analysis And Design, 2001, v. 38 n. 1, p. 3-19 [How to Cite?]
DOI: http://dx.doi.org/10.1016/S0168-874X(01)00051-8
 
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.
 
ISSN0168-874X
2012 Impact Factor: 1.389
2012 SCImago Journal Rankings: 0.910
 
DOIhttp://dx.doi.org/10.1016/S0168-874X(01)00051-8
 
ISI Accession Number IDWOS:000172170400001
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorLo, SH
 
dc.date.accessioned2010-09-26T07:50:34Z
 
dc.date.available2010-09-26T07:50:34Z
 
dc.date.issued2001
 
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.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationFinite Elements In Analysis And Design, 2001, v. 38 n. 1, p. 3-19 [How to Cite?]
DOI: http://dx.doi.org/10.1016/S0168-874X(01)00051-8
 
dc.identifier.citeulike5821134
 
dc.identifier.doihttp://dx.doi.org/10.1016/S0168-874X(01)00051-8
 
dc.identifier.epage19
 
dc.identifier.hkuros61653
 
dc.identifier.isiWOS:000172170400001
 
dc.identifier.issn0168-874X
2012 Impact Factor: 1.389
2012 SCImago Journal Rankings: 0.910
 
dc.identifier.issue1
 
dc.identifier.openurl
 
dc.identifier.scopuseid_2-s2.0-0035545872
 
dc.identifier.spage3
 
dc.identifier.urihttp://hdl.handle.net/10722/118132
 
dc.identifier.volume38
 
dc.languageeng
 
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
 
dc.publisher.placeNetherlands
 
dc.relation.ispartofFinite Elements in Analysis and Design
 
dc.relation.referencesReferences in Scopus
 
dc.rightsFinite Elements in Analysis and Design. Copyright © Elsevier BV.
 
dc.subjectAnisotropic refinement
 
dc.subjectTetrahedron
 
dc.subjectThree-dimensional finite element mesh generation
 
dc.title3D anisotropic mesh refinement in compliance with a general metric specification
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong