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Title: Mixed formulation of elliptic variational inequalities and its approximation (English)
Author: Haslinger, Jaroslav
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 26
Issue: 6
Year: 1981
Pages: 462-475
Summary lang: English
Summary lang: Czech
Category: math
Summary: The approximation of a mixed formulation of elliptic variational inequalities is studied. Mixed formulation is defined as the problem of finding a saddle-point of a properly chosen Lagrangian $\Cal 2$ on a certain convex set $Kx \ \Lambda$. Sufficient conditions, guaranteeing the convergence of approximate solutions are studied. Abstract results are applied to concrete examples. (English)
Keyword: elliptic variational inequalities
Keyword: mixed formulation
Keyword: saddle point problem
MSC: 35J20
MSC: 49A29
MSC: 49J40
MSC: 65K10
idZBL: Zbl 0483.49003
idMR: MR0634283
DOI: 10.21136/AM.1981.103936
Date available: 2008-05-20T18:18:05Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] F. Brezzi W. W. Hager P. A. Raviart: Error estimates for the finite element solution of variational inequalities, Part II: Mixed methods.Numerische Mathematik, 131, 1978, pp. 1-16. MR 0508584
Reference: [2] J. Cea: Optimisation, théorie et algorithmes.Dunod, 1971. Zbl 0211.17402, MR 0298892
Reference: [3] I. Ekeland R. Temam: Analyse convexe et problèmes variationnels.Dunod, 1974, Paris. MR 0463993
Reference: [4] R. Glowinski J. L. Lions R. Tremolieres: Analyse numérique des inéquations variationnelles.Vol. I., II. Dunod, 1976, Paris.
Reference: [5] J. Haslinger I. Hlaváček: Approximation of the Signorini problem with friction by the mixed finite element appear in JMAA.
Reference: [6] J. Haslinger J. Lovíšek: Mixed variational formulation of unilateral problems.CMUC 21, 2 (1980), 231-246. MR 0580680
Reference: [7] J. Haslinger M. Tvrdý: Numerical solution of the Signorini problem with friction by appear. MR 1355659


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