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

  • Valentin Borukhov
  • Olga KostyukovaEmail author
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 499)


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.


Inverse problem Heat flux The hyperbolic type system HuberTikhonov functional Suboptimal optimization 


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institute of Mathematics, National Academy of Sciences of BelarusMinskBelarus

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