Numerical Approximation of the Elastic-Viscoplastic Contact Problem with Non-matching Meshes |
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Authors: | José R Fernández Patrick Hild Juan M Viaño |
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Institution: | Departamento de Matemática Aplicada, Universidad de Santiago de Compostela, 15706 Santiago de Compostela, Spain; e-mail: {jramon, maviano}@usc.es, ES Laboratoire de Mathématiques de Besan?on, UMR CNRS 6623, Université de Franche-Comté, 16 route de Gray, 25030 Besan?on, France; e-mail: patrick.hild@math.univ-fcomte.fr, FR
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Abstract: | Summary. This work deals with the approximation of a time dependent variational inequality modelling the unilateral contact problem
of elastic-viscoplastic bodies in a bidimensional context. The problem is approximated in the space variable with nonconforming
finite element methods which allow the handling of nonmatching meshes on the contact zone. Several error estimates are established
and the corresponding numerical experiments are achieved.
Received Febuary 7, 2001 / Revised version received August 14, 2002 /
Published online October 29, 2002
Mathematics Subject Classification (1991): 73T05 |
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