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An adaptive finite element approach for frictionless contact problems

Buscaglia, Gustavo C. ; Durán, Ricardo ; Fancello, Eduardo A. ; Feijóo, Raúl A. ; Padra, Claudio

International journal for numerical methods in engineering, 2001-01, Vol.50 (2), p.395-418 [Periódico revisado por pares]

Chichester, UK: John Wiley & Sons, Ltd

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  • Título:
    An adaptive finite element approach for frictionless contact problems
  • Autor: Buscaglia, Gustavo C. ; Durán, Ricardo ; Fancello, Eduardo A. ; Feijóo, Raúl A. ; Padra, Claudio
  • Assuntos: adaptive analysis ; error estimator ; finite element method ; frictionless contact problems
  • É parte de: International journal for numerical methods in engineering, 2001-01, Vol.50 (2), p.395-418
  • Notas: Conselho Nacional de Desenvolvimento Científico e Tecnologico, Brazil
    Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
    ArticleID:NME30
    Fundação de Amparo à Pesquisa do Estado de Rio de Janerio
    istex:F23ACFC02E4299784F7AEE0B249768256D6F9A84
    ark:/67375/WNG-8ZJPHL5S-2
    ObjectType-Article-2
    SourceType-Scholarly Journals-1
    ObjectType-Feature-1
    content type line 23
  • Descrição: The derivation of an a posteriori error estimator for frictionless contact problems under the hypotheses of linear elastic behaviour and infinitesimal deformation is presented. The approximated solution of this problem is obtained by using the finite element method. A penalization or augmented‐Lagrangian technique is used to deal with the unilateral boundary condition over the contact boundary. An a posteriori error estimator suitable for adaptive mesh refinement in this problem is proposed, together with its mathematical justification. Up to the present time, this mathematical proof is restricted to the penalization approach. Several numerical results are reported in order to corroborate the applicability of this estimator and to compare it with other a posteriori error estimators. Copyright © 2001 John Wiley & Sons, Ltd.
  • Editor: Chichester, UK: John Wiley & Sons, Ltd
  • Idioma: Inglês
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