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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 4, Pages 393–408 (Mi sjvm489)  
This article is cited in 6 scientific papers (total in 6 papers)

Discrete-analytic schemes for solving an inverse coefficient heatconduction problem in a layered medium with gradient methods

A. V. Penenko

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (276 kB) Citations (6)
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Abstract: A method for constructing numerical schemes for inverse coefficient inverse heatconduction problem with boundary measurement data and piecewise-constant coefficients is considered. A set of numerical schemes for a gradient optimization algorithm is presented. The method is based on the combined use of locally-adjoint problems along with approximation methods in the Hilbert spaces.
Key words: inverse problem, gradient algorithm, numerical schemes, locally-adjoint problems.
Received: 09.08.2011
Revised: 23.11.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 4, Pages 326–341
DOI: https://doi.org/10.1134/S1995423912040052
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. V. Penenko, “Discrete-analytic schemes for solving an inverse coefficient heatconduction problem in a layered medium with gradient methods”, Sib. Zh. Vychisl. Mat., 15:4 (2012), 393–408; Num. Anal. Appl., 5:4 (2012), 326–341
Citation in format AMSBIB
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\by A.~V.~Penenko
\paper Discrete-analytic schemes for solving an inverse coefficient heatconduction problem in a~layered medium with gradient methods
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 4
\pages 393--408
\mathnet{http://mi.mathnet.ru/sjvm489}
\elib{https://elibrary.ru/item.asp?id=20494973}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 4
\pages 326--341
\crossref{https://doi.org/10.1134/S1995423912040052}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870419903}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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