A discretization theory for a class of semi-coercive unilateral problems |
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| Authors: | Samir Adly Daniel Goeleven |
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| Affiliation: | (1) LACO, URA-1586, Université de Limoges, 123 Avenue A. Thomas, 87060 Limoges, France, FR;(2) I.R.E.M.I.A., Université de La Réunion, 97715 Saint-Denis, France, FR |
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| Abstract: | 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. Received January 14, 1999 / Revised version received June 24, 1999 / Published online July 12, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 49J40 49J52 35J20 |
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