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An adaptive finite element approach for frictionless contact problems
Author(s) -
Buscaglia Gustavo C.,
Durán Ricardo,
Fancello Eduardo A.,
Feijóo Raúl A.,
Padra Claudio
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/1097-0207(20010120)50:2<395::aid-nme30>3.0.co;2-#
Subject(s) - finite element method , mixed finite element method , computer science , extended finite element method , finite element limit analysis , element (criminal law) , mathematics , structural engineering , mathematical optimization , engineering , political science , law
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.