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.
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
\Bibitem{Pen12}
\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}
Linking options:
https://www.mathnet.ru/eng/sjvm489
https://www.mathnet.ru/eng/sjvm/v15/i4/p393
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