Internal approximation of quasi-variational inequalities (Q1179043)
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scientific article; zbMATH DE number 23785
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Internal approximation of quasi-variational inequalities |
scientific article; zbMATH DE number 23785 |
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Internal approximation of quasi-variational inequalities (English)
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26 June 1992
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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.
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abstract quasi-variational inequality
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fixed point algorithm
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convergence
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Signorini problem
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error estimates
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numerical example
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finite element method
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Uzawa's algorithm
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