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A discretization theory for a class of semi-coercive unilateral problems

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Summary.

In this paper, we present a convergence analysis applicable to the approximation of a large class of semi-coercive variational inequalities. The approach we propose is based on a recession analysis of some regularized Galerkin schema. Finite-element approximations of semi-coercive unilateral problems in mechanics are discussed. In particular, a Signorini-Fichera unilateral contact model and some obstacle problem with frictions are studied. The theoretical conditions proved are in good agreement with the numerical ones.

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Authors and Affiliations

  1. LACO, URA-1586, Université de Limoges, 123 Avenue A. Thomas, 87060 Limoges, France, , , , , , FR

    Samir Adly

  2. I.R.E.M.I.A., Université de La Réunion, 97715 Saint-Denis, France, , , , , , FR

    Daniel Goeleven

Authors
  1. Samir Adly
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  2. Daniel Goeleven
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Received January 14, 1999 / Revised version received June 24, 1999 / Published online July 12, 2000

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Adly, S., Goeleven, D. A discretization theory for a class of semi-coercive unilateral problems. Numer. Math. 87, 1–34 (2000). https://doi.org/10.1007/s002110000164

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  • DOI: https://doi.org/10.1007/s002110000164