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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 4, Pages 23–34 (Mi ivm9225)  
This article is cited in 2 scientific papers (total in 2 papers)

Solution of an elliptic optimal control problem with pointwise and nonlocal state constraints

A. V. Lapin, D. G. Zalyalov

Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (238 kB) Citations (2)
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Abstract: We investigate an optimal control problem governed by linear elliptic equation, with pointwise control constraints and pointwise and integral state constraints. We construct finite difference approximation of the problem and prove the existence of its solution and convergence to the exact solution. We also construct and investigate constrained saddle point problem and iterative solution method for this problem and analyze the results of the numerical experiments.
Keywords: elliptic optimal control, state constraint, finite difference approximation, constrained saddle point problem, iterative methods.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00408_а
Received: 02.10.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 4, Pages 18–28
DOI: https://doi.org/10.3103/S1066369X17040041
Bibliographic databases:
Document Type: Article
UDC: 519.673
Language: Russian
Citation: A. V. Lapin, D. G. Zalyalov, “Solution of an elliptic optimal control problem with pointwise and nonlocal state constraints”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 4, 23–34; Russian Math. (Iz. VUZ), 61:4 (2017), 18–28
Citation in format AMSBIB
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\by A.~V.~Lapin, D.~G.~Zalyalov
\paper Solution of an elliptic optimal control problem with pointwise and nonlocal state constraints
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 4
\pages 23--34
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\vol 61
\issue 4
\pages 18--28
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    • 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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:31
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