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Numerical Approximation of the Elastic-Viscoplastic Contact Problem with Non-matching Meshes

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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.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad de Santiago de Compostela, 15706 Santiago de Compostela, Spain; e-mail: {jramon, maviano}@usc.es, , , , , , ES

    José R. Fernández & Juan M. Viaño

  2. Laboratoire de Mathématiques de Besançon, UMR CNRS 6623, Université de Franche-Comté, 16 route de Gray, 25030 Besançon, France; e-mail: patrick.hild@math.univ-fcomte.fr, , , , , , FR

    Patrick Hild

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  1. José R. Fernández
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  2. Patrick Hild
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  3. Juan M. Viaño
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Received Febuary 7, 2001 / Revised version received August 14, 2002 / Published online October 29, 2002

Mathematics Subject Classification (1991): 73T05

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Fernández, J., Hild, P. & Viaño, J. Numerical Approximation of the Elastic-Viscoplastic Contact Problem with Non-matching Meshes. Numer. Math. 94, 501–522 (2003). https://doi.org/10.1007/s00211-002-0441-x

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  • DOI: https://doi.org/10.1007/s00211-002-0441-x

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