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Article: A full 3D finite element analysis using adaptive refinement and PCG solver with back interpolation

TitleA full 3D finite element analysis using adaptive refinement and PCG solver with back interpolation
Authors
Issue Date1999
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma
Citation
Computer Methods In Applied Mechanics And Engineering, 1999, v. 170 n. 1-2, p. 39-64 How to Cite?
AbstractIn this paper, adaptive refinement finite element analyses were carried out for full 3D problems. In order to achieve an optimal computation cost and to eliminate the effects of singular points, the adaptive refinement procedure was applied in conjunction with a back interpolation for the construction of a good initial guess for the solution of the linear equations system. The combined use of the adaptive refinement procedure, the back interpolation scheme and the preconditioned conjugate gradient (PCG) solver lead to a significant reduction in the operations for the solution of the simultaneous linear equations in the adaptive refinement analysis. In many cases the number of iterations needed by the PCG solver to reach a converged solution is independent of the number of equations in the global system. The numerical results obtained indicated that for a series of carefully designed adaptive meshes, the computational cost required to solve the linear system could be made only proportional to the number of degrees of freedom in the mesh. To our knowledge, this is the first time that the global stiffness equations in 3D stress analysis have been solved with this efficiency. The same set of numerical results also showed that, in general, the total computational cost of the adaptive refinement procedure can usually be minimized by gradually reducing the target relative error of the solution during successive refinements rather than employing a constant target relative error throughout the whole adaptive analysis. © 1999 Elsevier Science S.A. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71379
ISSN
2015 Impact Factor: 3.467
2015 SCImago Journal Rankings: 2.952
References

 

DC FieldValueLanguage
dc.contributor.authorLee, CKen_HK
dc.contributor.authorLo, SHen_HK
dc.date.accessioned2010-09-06T06:31:27Z-
dc.date.available2010-09-06T06:31:27Z-
dc.date.issued1999en_HK
dc.identifier.citationComputer Methods In Applied Mechanics And Engineering, 1999, v. 170 n. 1-2, p. 39-64en_HK
dc.identifier.issn0045-7825en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71379-
dc.description.abstractIn this paper, adaptive refinement finite element analyses were carried out for full 3D problems. In order to achieve an optimal computation cost and to eliminate the effects of singular points, the adaptive refinement procedure was applied in conjunction with a back interpolation for the construction of a good initial guess for the solution of the linear equations system. The combined use of the adaptive refinement procedure, the back interpolation scheme and the preconditioned conjugate gradient (PCG) solver lead to a significant reduction in the operations for the solution of the simultaneous linear equations in the adaptive refinement analysis. In many cases the number of iterations needed by the PCG solver to reach a converged solution is independent of the number of equations in the global system. The numerical results obtained indicated that for a series of carefully designed adaptive meshes, the computational cost required to solve the linear system could be made only proportional to the number of degrees of freedom in the mesh. To our knowledge, this is the first time that the global stiffness equations in 3D stress analysis have been solved with this efficiency. The same set of numerical results also showed that, in general, the total computational cost of the adaptive refinement procedure can usually be minimized by gradually reducing the target relative error of the solution during successive refinements rather than employing a constant target relative error throughout the whole adaptive analysis. © 1999 Elsevier Science S.A. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cmaen_HK
dc.relation.ispartofComputer Methods in Applied Mechanics and Engineeringen_HK
dc.rightsComputer Methods in Applied Mechanics and Engineering. Copyright © Elsevier BV.en_HK
dc.titleA full 3D finite element analysis using adaptive refinement and PCG solver with back interpolationen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0045-7825&volume=170&spage=39 &epage= 64&date=1999&atitle=A+full+3D+finite+element+analysis+using+adaptive+refinement+and+PCG+solver+with+back+interpolationen_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/S0045-7825(98)00188-1-
dc.identifier.scopuseid_2-s2.0-0033075553en_HK
dc.identifier.hkuros42578en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033075553&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume170en_HK
dc.identifier.issue1-2en_HK
dc.identifier.spage39en_HK
dc.identifier.epage64en_HK
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridLee, CK=7410141092en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK

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