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Reconstruction of the Surface Heat Flux for a Quasi-linear System of the Hyperbolic Type Heat-Conduction Equations

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Book cover Optimization in the Natural Sciences (EmC-ONS 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 499))

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Abstract

The problem of the identification of the surface heat flux for a quasi-linear system of the hyperbolic type heat-conduction equations is studied. An approach is proposed based on the stage-by-stage suboptimal optimization of the cost functional and input data filtering using the HuberTikhonov functional. Results are presented for the numerical modeling of the identification problem in conditions of both standard noisy data and noise emissions.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Belarus, Surganov Str. 11, 220072, Minsk, Belarus

    Valentin Borukhov & Olga Kostyukova

Authors
  1. Valentin Borukhov
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  2. Olga Kostyukova
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Corresponding author

Correspondence to Olga Kostyukova .

Editor information

Editors and Affiliations

  1. Dept. of Mathematics, University of Aveiro, Aveiro, Portugal

    Alexander Plakhov

  2. University of Aveiro, Aveiro, Portugal

    Tatiana Tchemisova

  3. University of Aveiro, Aveiro, Portugal

    Adelaide Freitas

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Borukhov, V., Kostyukova, O. (2015). Reconstruction of the Surface Heat Flux for a Quasi-linear System of the Hyperbolic Type Heat-Conduction Equations. In: Plakhov, A., Tchemisova, T., Freitas, A. (eds) Optimization in the Natural Sciences. EmC-ONS 2014. Communications in Computer and Information Science, vol 499. Springer, Cham. https://doi.org/10.1007/978-3-319-20352-2_4

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  • DOI: https://doi.org/10.1007/978-3-319-20352-2_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20351-5

  • Online ISBN: 978-3-319-20352-2

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