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Matem. Mod., 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. Kryazhimskiia, V. I. Maksimov, E. A. Samarskayab

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

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.

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Received: 16.10.1995

Citation: A. V. Kryazhimskii, V. I. Maksimov, E. A. Samarskaya, “On reconstruction of inputs in parabolic systems”, Matem. Mod., 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 Matem. Mod.
\yr 1997
\vol 9
\issue 3
\pages 51--72
\mathnet{http://mi.mathnet.ru/mm1394}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1489391}
\zmath{https://zbmath.org/?q=an:1071.35542}


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

    This publication is cited in the following articles:
    1. 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  mathscinet  isi
    2. 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  crossref  mathscinet  zmath  adsnasa  isi  scopus
    3. Kryazhimskii A., Maksimov V., “On Identification of Nonobservable Contamination Inputs”, Environ. Modell. Softw., 20:8 (2005), 1057–1061  crossref  isi  elib  scopus
    4. 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  mathnet
    5. V. I. Maksimov, “An algorithm for reconstructing the intensity of a source function”, Proc. Steklov Inst. Math., 277 (2012), 170–183  mathnet  crossref  mathscinet  isi  elib  elib
    6. 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  crossref  mathscinet  zmath  isi  elib  scopus
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