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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 1, Pages 147–164 (Mi timm786)  
This article is cited in 8 scientific papers (total in 8 papers)

On the use of a priori information in coefficient inverse problems for hyperbolic equations

S. I. Kabanikhina, M. A. Shishleninb

a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: Numerical algorithms for solving inverse coefficient problems for hyperbolic equations based on the use of a priori information on the solution are considered. Optimization algorithms and a dynamic version of the Gelfand–Levitan–Krein method are investigated. The boundedness of the solution and of its first derivative are used as a priori information. Convergence rate estimates are derived. The results of numerical simulations are presented.
Keywords: coefficient inverse problems for hyperbolic equations, Gelfand–Levitan equation, optimization methods, regularization, a priori information.
Received: 22.06.2011
Bibliographic databases:
Document Type: Article
UDC: 519.642+519.633+519.612
Language: Russian
Citation: S. I. Kabanikhin, M. A. Shishlenin, “On the use of a priori information in coefficient inverse problems for hyperbolic equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 147–164
Citation in format AMSBIB
\Bibitem{KabShi12}
\by S.~I.~Kabanikhin, M.~A.~Shishlenin
\paper On the use of a~priori information in coefficient inverse problems for hyperbolic equations
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 1
\pages 147--164
\mathnet{http://mi.mathnet.ru/timm786}
\elib{https://elibrary.ru/item.asp?id=17358685}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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