Abstract
In this paper we present the analysis of an algorithm of Uzawa type to compute solutions of the quasi variational inequality
which is a model for the dynamics of a pile driven into the ground under the action of a pile hammer. In (QVI) (...) is the scalar product inL 2(0, 1) andJ(u;.) is a convex functional onH 1(0, 1), for eachu, describing the soil-pile friction effect.
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References
Glowinski, R., Lions, J. L., and Trémolières, R.,Analyse numérique des inéquations variationelles, Dunod, Paris, 1976.
Lions, J. L.,Equations différentielles opérationelles et problèmes aux limites, Springer-Verlag, Berlin-Heidelberg, New York, 1961.
Lions, J.L.,Cours d' analyse numérique, Hermann, Paris, 1974.
Raupp, M.A., Feijóo, R.A., and Moura, C.A. de,A non-linear problem in dynamic viscoelasticity with friction, Tec. Report A0023/77, Lab. Calc. CBPF, Rio de Janeiro (to be published in Bol. Soc. Bras. Mat.).
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Raupp, M.A., Feijóo, R.A. & de Moura, C.A. An optimization algorithm for the pile driver problem. Bol. Soc. Bras. Mat 9, 39–61 (1978). https://doi.org/10.1007/BF02584666
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DOI: https://doi.org/10.1007/BF02584666