Internal approximation of quasi-variational inequalities

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1991 Germany English Publisher:Springer Science and Business Media LLCJournal:Numerische Mathematik, volume 59, pages 385-398 (issn: 0029-599X, eissn: 0945-3245,

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Authors: Radoslovescu Capatina, A.; Cocu, M.;

doi: 10.1007/bf01385787

Internal approximation of quasi-variational inequalities

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Abstract

An abstract quasi-variational inequality introduced by \textit{A. Bensoussan} and \textit{J. L. Lions} [C. R. Acad. Sci. Paris, Ser. A 276, 1189-1192 (1973; Zbl 0266.49007)], is considered. From the proof of the existence and uniqueness of the solution a fixed point algorithm is derived and its convergence is demonstrated. A Signorini problem with non-local friction is taken as example. A Galerkin internal approximation is introduced and two error estimates are obtained. A numerical example is considered using the finite element method and Uzawa's algorithm. The influence of the coefficient of friction on the tangential displacements is analyzed.

Country

Germany

Related Organizations

DigiZeitschriften
Germany
Institute of Solid Mechanics
Romania

Keywords

Numerical optimization and variational techniques, convergence, finite element method, Theories of friction (tribology), Newton-type methods, Variational inequalities, Contact in solid mechanics, Article, Signorini problem, numerical example, 510.mathematics, abstract quasi-variational inequality, error estimates, fixed point algorithm, Uzawa's algorithm

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