A. V. Kryazhimskii, V. I. Maksimov, E. A. Samarskaya, “On reconstruction of inputs in parabolic systems”, Mat. Model., 9:3 (1997), 51

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Matematicheskoe modelirovanie, 1997, Volume 9, Number 3, Pages 51–72 (Mi mm1394)

This article is cited in 6 scientific papers (total in 6 papers)

Computational methods and algorithms

On reconstruction of inputs in parabolic systems

A. V. Kryazhimskii^a, V. I. Maksimov, E. A. Samarskaya^b

^a International Institute for Applied Systems Analysis
^b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Full-text PDF (1655 kB) Citations (6)

Abstract: The problem of modelling (reconstruction) of inputs in parabolic systems is considered. The solving algorithms are suggested. These algorithms are stable with respect to the informational noises and the measurement disturbances. General constructions are applied to the problem of simulation of groundwater contamination process. In this case the problem of modelling of varying intensities of pollutant sources is investigated.

Received: 16.10.1995

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. V. Kryazhimskii, V. I. Maksimov, E. A. Samarskaya, “On reconstruction of inputs in parabolic systems”, Mat. Model., 9:3 (1997), 51–72

Citation in format AMSBIB

\Bibitem{KryMakSam97}

\by A.~V.~Kryazhimskii, V.~I.~Maksimov, E.~A.~Samarskaya

\paper On reconstruction of inputs in parabolic systems

\jour Mat. Model.

\yr 1997

\vol 9

\issue 3

\pages 51--72

\mathnet{http://mi.mathnet.ru/mm1394}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1489391}

\zmath{https://zbmath.org/?q=an:1071.35542}

Linking options:

https://www.mathnet.ru/eng/mm1394

https://www.mathnet.ru/eng/mm/v9/i3/p51

This publication is cited in the following 6 articles:

Rashedi K. Adibi H. Dehghan M., “Determination of Space-Time-Dependent Heat Source in a Parabolic Inverse Problem Via the Ritz-Galerkin Technique”, Inverse Probl. Sci. Eng., 22:7 (2014), 1077–1108
V. I. Maksimov, “An algorithm for reconstructing the intensity of a source function”, Proc. Steklov Inst. Math., 277 (2012), 170–183
M. S. Blizorukova, V. I. Maksimov, “Ob odnom algoritme resheniya zadachi optimalnogo upravleniya v gilbertovom prostranstve”, Trudy sedmoi Vserossiiskoi nauchnoi konferentsii s mezhdunarodnym uchastiem (3–6 iyunya 2010 g.). Chast 2, Modelirovanie i optimizatsiya dinamicheskikh sistem i sistem s raspredelennymi parametrami, Matem. modelirovanie i kraev. zadachi, Samarskii gosudarstvennyi tekhnicheskii universitet, Samara, 2010, 29–32
Kryazhimskii A., Maksimov V., “On Identification of Nonobservable Contamination Inputs”, Environ. Modell. Softw., 20:8 (2005), 1057–1061
Borukhov V. Vabishchevich P., “Numerical Solution of the Inverse Problem of Reconstructing a Distributed Right-Hand Side of a Parabolic Equation”, Comput. Phys. Commun., 126:1-2 (2000), 32–36
Kappel F., Kryazhimskii A., Maksimov V., “Constraint Aggregation Principle in the Problem of Optimal Control of Distributed Parameter Systems”, Nonsmooth and Discontinuous Problems of Control and Optimization (NDPCO'98), eds. Batukhtin V., Kirillova F., Ukhobotov V., Elsevier Science BV, 1999, 137–141

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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