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Shape sensitivity analysis of nonsmooth variational problems

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Boundary Control and Boundary Variations

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 100))

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Abstract

This paper is concerned with the shape sensitivity analysis of solutions of variational inequalities of the second kind. The method of sensitivity analysis proposed in [18] is exploited throughout. The Euler and the Lagrange derivatives of the solution of variational inequality in the direction of a vector field are given in the form of solutions to the auxiliary variational problems.

This work was completed while the author was visiting the Mathematics Department, University of Florida, Gainesville, Florida.

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J. P. Zolésio

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© 1988 Springer-Verlag

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Sokolowski, J. (1988). Shape sensitivity analysis of nonsmooth variational problems. In: Zolésio, J.P. (eds) Boundary Control and Boundary Variations. Lecture Notes in Control and Information Sciences, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041920

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  • DOI: https://doi.org/10.1007/BFb0041920

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  • Print ISBN: 978-3-540-18546-8

  • Online ISBN: 978-3-540-48015-0

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