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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2010, Volume 152, Book 4, Pages 56–67 (Mi uzku884)  
This article is cited in 2 scientific papers (total in 2 papers)

The solution of a state constrained optimal control problem by the right-hand side of an elliptic equation

A. V. Lapina, M. G. Khasanovb

a Kazan (Volga region) Federal University, The Faculty of Computer Science and Cybernetics
b N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan (Volga region) Federal University
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Abstract: The article deals with grid approximation of a state and control constrained optimal control problem by a finite element or finite difference method. The control function is the right hand side of a linear elliptic equation. The convergence of the iterative solution methods for the discrete problem is investigated both theoretically and numerically. The comparison of the numerical results for the different iterative methods is done.
Keywords: optimal control, constrained saddle point problems, finite element method, iterative method.
Received: 16.06.2010
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. V. Lapin, M. G. Khasanov, “The solution of a state constrained optimal control problem by the right-hand side of an elliptic equation”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 152, no. 4, Kazan University, Kazan, 2010, 56–67
Citation in format AMSBIB
\Bibitem{LapKha10}
\by A.~V.~Lapin, M.~G.~Khasanov
\paper The solution of a state constrained optimal control problem by the right-hand side of an elliptic equation
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2010
\vol 152
\issue 4
\pages 56--67
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku884}
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  • https://www.mathnet.ru/eng/uzku/v152/i4/p56
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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    References:61
     
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