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Shape sensitivity analysis of hyperbolic problems

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  • First Online:
Stabilization of Flexible Structures

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 147))

  • 244 Accesses

Abstract

We provide the new results on the shape sensitivity analysis of the wave equation as well as of the Maxwell's equations in bounded domains. The form of shape derivative as well as of the domain derivative is derided for the hyperbolic equations.

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References

  1. K.O. Friedrichs, Mathematical methods of electromagnetic theory. Courant Institute of Mathematical Sciences, New York University, New York, 1974.

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  2. J.E. Lagnese, Exact boundary controlability of Maxwell's equations in a general region. SIAM J. Control and Optimization, Vol. 27, no2 (1989) pp. 374–388.

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  3. J. Sokolowski and J.P. Zolesio, Introduction to shape optimization. Shape sensitivity analysis. Book to appear.

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Author information

Authors and Affiliations

  1. Systems Research Institute Polish Academy of Sciences, ul. Newelsha 6, 01-447, Warsaw, Poland

    Jan Sokolowsky

  2. Cnrs, Laboratoire de Physique Mathématique, Place Eugène Bataillon, 34060, Montpellier, France

    Jean-Paul Zolesio

Authors
  1. Jan Sokolowsky
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  2. Jean-Paul Zolesio
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Editor information

J. P. Zoléesio

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© 1990 Springer-Verlag

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Sokolowsky, J., Zolesio, JP. (1990). Shape sensitivity analysis of hyperbolic problems. In: Zoléesio, J.P. (eds) Stabilization of Flexible Structures. Lecture Notes in Control and Information Sciences, vol 147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0005160

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  • DOI: https://doi.org/10.1007/BFb0005160

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53161-6

  • Online ISBN: 978-3-540-46731-1

  • eBook Packages: Springer Book Archive

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