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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2008, Volume 11, Number 1, Pages 41–51 (Mi sjvm32)  

This article is cited in 34 scientific papers (total in 34 papers)

The gradient-based method for solving the inverse coefficient heat-conduction problem

S. I. Kabanikhina, A. Kh. Khasanovb, A. V. Penenkoa

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Applied Mathematical Sciences Research, Center Kocaeli University
References:
Abstract: An iterative gradient descent method has been applied to the inverse coefficient heat-conduction problem with overdetermined boundary conditions. Some theoretical estimates have been obtained for variation of the target functional with respect to the variation of the coefficient. Using these estimates, an approximated gradient of the target functional has been constructed. In the numerical experiments, the iteration convergence rates for different gradient descent parameters were compared.
Key words: coefficient identification, inverse heat conduction problem, gradient, adjoint problem, gradient descent parameter.
Received: 23.11.2006
Revised: 08.02.2007
English version:
Numerical Analysis and Applications, 2008, Volume 1, Issue 1, Pages 34–45
DOI: https://doi.org/10.1007/s12258-008-1004-x
UDC: 519.6
Language: Russian
Citation: S. I. Kabanikhin, A. Kh. Khasanov, A. V. Penenko, “The gradient-based method for solving the inverse coefficient heat-conduction problem”, Sib. Zh. Vychisl. Mat., 11:1 (2008), 41–51; Num. Anal. Appl., 1:1 (2008), 34–45
Citation in format AMSBIB
\Bibitem{KabKhaPen08}
\by S.~I.~Kabanikhin, A.~Kh.~Khasanov, A.~V.~Penenko
\paper The gradient-based method for solving the inverse coefficient heat-conduction problem
\jour Sib. Zh. Vychisl. Mat.
\yr 2008
\vol 11
\issue 1
\pages 41--51
\mathnet{http://mi.mathnet.ru/sjvm32}
\transl
\jour Num. Anal. Appl.
\yr 2008
\vol 1
\issue 1
\pages 34--45
\crossref{https://doi.org/10.1007/s12258-008-1004-x}
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  • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Sibirskii Zhurnal Vychislitel'noi Matematiki
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