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On the design of the optimal covering of an obstacle

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Book cover Boundary Control and Boundary Variations

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

Abstract

We consider the problem of controlling the shape of the coincidence set in an obstacle problem. This so called packaging problem was introduced in

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References

  1. M.P. Bendsøe, N. Olhoff and J. Sokolowski, Sensitivity analysis of problems of elasticity with unilateral constraints, Math.Report no. 1984–10, Matematisk Institut, Danmarks Tekniske Hojskole (1984).

    Google Scholar 

  2. B. Benedict, J. Sokolowski and J.P. Zolesio, Shape optimization for contact problems, in “Lecture Notes in Control and Inform. Sciences 59,” Proc. of 11th IFIP Conference on System Modelling and Optimization (P. Topft-Christensen ed.), Springer-Verlag, New York, Berlin, Heidelberg, 1984, pp. 789–799.

    Google Scholar 

  3. R. Glowinski, “Numerical methods for nonlinear variational problems,” Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1984.

    Google Scholar 

  4. J. Haslinger, V. Horak and P. Neittaanmäki, Shape optimization in contact problem with friction, Numer. Funkt. Anal. and Optimiz. (1986), 557–587.

    Google Scholar 

  5. J. Haslinger and P. Neittaanmäki, On optimal shape design of systems governed by mixed Dirichlet-Signorini boundary value problems, Math. Meth. Appl. Sci. 8 (1986), 157–181.

    Google Scholar 

  6. J. Haslinger, R. Mäkinen, P. Neittaanmäki and D. Tiba, in preparation.

    Google Scholar 

  7. J. Haslinger, P. Neittaanmäki and D. Tiba, On state constrained optimal shape design problems, Preprint 54, Dept. Math. Univ. Jyväskylä, 1986. To appear in Proc. of Oberwolfach Conference Optimal Control of PDE's, Birkhauser 1986.

    Google Scholar 

  8. T. Tiihonen, private communication.

    Google Scholar 

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J. P. Zolésio

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© 1988 Springer-Verlag

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Haslinger, J., Neittaanmäki, P. (1988). On the design of the optimal covering of an obstacle. 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/BFb0041917

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  • DOI: https://doi.org/10.1007/BFb0041917

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18546-8

  • Online ISBN: 978-3-540-48015-0

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