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Optimization in the Space of Smooth Shapes

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Geometric Science of Information (GSI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10589))

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Abstract

The theory of shape optimization problems constrained by partial differential equations is connected with the differential-geometric structure of the space of smooth shapes.

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Acknowledgement

This work has been partly supported by the German Research Foundation within the priority program SPP 1962 under contract number Schu804/15-1.

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Authors and Affiliations

  1. Department of Mathematics, Trier University, 54286, Trier, Germany

    Kathrin Welker

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  1. Kathrin Welker
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Correspondence to Kathrin Welker .

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Editors and Affiliations

  1. Ecole Polytechnique, Palaiseau, France

    Frank Nielsen

  2. Thales Land and Air Systems, Limours, France

    Frédéric Barbaresco

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Welker, K. (2017). Optimization in the Space of Smooth Shapes. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science(), vol 10589. Springer, Cham. https://doi.org/10.1007/978-3-319-68445-1_8

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  • DOI: https://doi.org/10.1007/978-3-319-68445-1_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68444-4

  • Online ISBN: 978-3-319-68445-1

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