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Contact between elastic bodies. II. Finite element analysis. (English) Zbl 0465.73144

MSC:
74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
49J40 Variational inequalities
49M15 Newton-type methods
65N15 Error bounds for boundary value problems involving PDEs
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References:
[1] J. Haslinger I. Hlaváček: Contact between elastic bodies. Part I. Continuous problems. Apl. Mat. 25 (1980), 324-348.
[2] J. Céa: Optimisation, théorie et algorithmes. Dunod, Paris 1971. · Zbl 0211.17402
[3] M. Zlámal: Curved elements in the finite element method. SIAM J. Numer. Anal. 10, (1973), 229-240. · Zbl 0285.65067
[4] G. Strang G. Fix: An analysis of the finite element method. Prentice-Hall, 1973. · Zbl 0278.65116
[5] J. Nitsche: Über ein Variationsprinzip zur Lösung von Dirichlet-Problem bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abh. Math. Sem. Univ. Hamburg, 36 (1971), 9-15. · Zbl 0229.65079
[6] I. Hlaváček J. Lovíšek: Finite element analysis of the Signorini problem in semi-coercive cases. Apl. Mat. 25 (1980), 274-285. · Zbl 0448.73073
[7] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague, 1967. · Zbl 1225.35003
[8] J. Haslinger: Finite element analysis for unilateral problems with obstacles on the boundary. Apl. Mat. 22(1977), 180-187. · Zbl 0434.65083
[9] F. Brezzi W. W. Hager P. A. Raviart: Error estimates for the finite element solution of variational inequalities. Part I. Primal Theory. Numer. Math. 28 (1977), 431 - 443. · Zbl 0369.65030
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