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Reconstruction of a Free Boundary

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Improperly Posed Problems and Their Numerical Treatment

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Abstract

In some inverse Stefan problem the free boundary has to be reconstructed from measurement of temperature and heat flux on the fixed boundary, without information of the initial temperature distribution. Reformulation of the problem yields a nonlinear Chebyshev approximation problem, which satisfies the global and local Haar condition.

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References

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Authors and Affiliations

  1. Martin Hilpert Mathematisches Institut, Universität Augsburg, Memminger Str. 6, D-8900, Augsburg, West Germany

    Martin Hilpert

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  1. Martin Hilpert
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Editor information

Editors and Affiliations

  1. Mathematisches Institut, Universität München, Theresienstraße 39, D-8000, München 2, Germany

    G. Hämmerlin

  2. Mathematisches Institut, Universität Augsburg, Memminger Straße 6, D-8900, Augsburg, Germany

    K.-H. Hoffmann

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© 1983 Springer Basel AG

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Hilpert, M. (1983). Reconstruction of a Free Boundary. In: Hämmerlin, G., Hoffmann, KH. (eds) Improperly Posed Problems and Their Numerical Treatment. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 63. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5460-3_8

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  • DOI: https://doi.org/10.1007/978-3-0348-5460-3_8

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5462-7

  • Online ISBN: 978-3-0348-5460-3

  • eBook Packages: Springer Book Archive

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