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Shape sensitivity analysis of variational inequalities

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Shape Optimization and Free Boundaries

Part of the book series: NATO ASI Series ((ASIC,volume 380))

Abstract

Results on the differential stability of the solutions of the variational inequalities are presented. The concept of a polyhedric convex set is used. The material derivative method is applied in order to derive the results on the shape sensitivity analysis.

A detailed description of the material derivative method in the sha pe optimization of variational inequalities can be found in J. Sokolowski and J.-P. Zolésio, Introduction to Shape Optimization. Shape Sensitivity Analysis, Springer Series in Computational Mathematics, vol. 16, Springer-Verlag 1992.

Partially supported by grant 21207 9101 of the State Committee for Scientific Research of the Republic of Poland.

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  1. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, PL 01-447, Warszawa, Poland

    Jan Sokolowski

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  1. Centre de recherches mathématiques, Université de Montréal, Montréal, Québec, Canada

    Michel C. Delfour

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Sokolowski, J. (1992). Shape sensitivity analysis of variational inequalities. In: Delfour, M.C., Sabidussi, G. (eds) Shape Optimization and Free Boundaries. NATO ASI Series, vol 380. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2710-3_8

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  • DOI: https://doi.org/10.1007/978-94-011-2710-3_8

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