File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Automatic adaptive 3-D finite element refinement using different-order tetrahedral elements

TitleAutomatic adaptive 3-D finite element refinement using different-order tetrahedral elements
Authors
Keywords3-D Tetrahedral Elements
Automatic Refinement
Efficiency Of Elements
Preconditioned Conjugate Gradient Method
Issue Date1997
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
Citation
International Journal for Numerical Methods in Engineering, 1997, v. 40 n. 12, p. 2195-2226 How to Cite?
AbstractAutomatic refinement finite element analyses were carried out employing three different-order tetrahedral solid elements for the solution of 3-D stress analysis problems. Numerical results indicated that the adaptive refinement procedure could eliminate effectively the effect of singularities and the optimal convergence rate was achieved in all the examples tested. The preconditioned conjugate gradient technique was used for the solution of the large system of simultaneous equations. By interpolating the initial guess of the iteration solver from the previous converged solution, the number of iterations needed for the solution is lower than expected. Furthermore, when the mesh density distribution pattern has converged, it became even more efficient and independent of the number of degrees of freedom in the finite element mesh. The relative efficiency of the three different-order tetrahedral elements has also been compared in terms of storage and computational cost needed for achieving a certain accuracy. It is found that although the cubic T20 element can achieve the highest convergence rate, the T10 element is the most competitive and effective element in terms of storage and computational cost needed. © 1997 by John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/150095
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007
References

 

DC FieldValueLanguage
dc.contributor.authorLee, CKen_US
dc.contributor.authorLo, SHen_US
dc.date.accessioned2012-06-26T06:01:30Z-
dc.date.available2012-06-26T06:01:30Z-
dc.date.issued1997en_US
dc.identifier.citationInternational Journal for Numerical Methods in Engineering, 1997, v. 40 n. 12, p. 2195-2226en_US
dc.identifier.issn0029-5981en_US
dc.identifier.urihttp://hdl.handle.net/10722/150095-
dc.description.abstractAutomatic refinement finite element analyses were carried out employing three different-order tetrahedral solid elements for the solution of 3-D stress analysis problems. Numerical results indicated that the adaptive refinement procedure could eliminate effectively the effect of singularities and the optimal convergence rate was achieved in all the examples tested. The preconditioned conjugate gradient technique was used for the solution of the large system of simultaneous equations. By interpolating the initial guess of the iteration solver from the previous converged solution, the number of iterations needed for the solution is lower than expected. Furthermore, when the mesh density distribution pattern has converged, it became even more efficient and independent of the number of degrees of freedom in the finite element mesh. The relative efficiency of the three different-order tetrahedral elements has also been compared in terms of storage and computational cost needed for achieving a certain accuracy. It is found that although the cubic T20 element can achieve the highest convergence rate, the T10 element is the most competitive and effective element in terms of storage and computational cost needed. © 1997 by John Wiley & Sons, Ltd.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430en_US
dc.relation.ispartofInternational Journal for Numerical Methods in Engineeringen_US
dc.subject3-D Tetrahedral Elementsen_US
dc.subjectAutomatic Refinementen_US
dc.subjectEfficiency Of Elementsen_US
dc.subjectPreconditioned Conjugate Gradient Methoden_US
dc.titleAutomatic adaptive 3-D finite element refinement using different-order tetrahedral elementsen_US
dc.typeArticleen_US
dc.identifier.emailLo, SH: hreclsh@hkucc.hku.hken_US
dc.identifier.authorityLo, SH=rp00223en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1002/(SICI)1097-0207(19970630)-
dc.identifier.scopuseid_2-s2.0-0031168088en_US
dc.identifier.hkuros42449-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0031168088&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume40en_US
dc.identifier.issue12en_US
dc.identifier.spage2195en_US
dc.identifier.epage2226en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLee, CK=7410141092en_US
dc.identifier.scopusauthoridLo, SH=7401542444en_US

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats