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Ufa Mathematical Journal, 2014, Volume 6, Issue 3, Pages 69–84
DOI: https://doi.org/10.13108/2014-6-3-69 (Mi ufa253) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions

A. R. Manapova, F. V. Lubyshev

Bashkir State University, Z. Validi str., 32, 450074, Ufa, Russia
English version PDF (396 kB) Citations (4)
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DOI: https://doi.org/10.13108/2014-6-3-69
Abstract: In the work we consider nonlinear optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions with control in the conjugation boundary conditions. We construct difference approximations for extremum problems and obtain the estimates for approximation accuracy with respect to the state.
Keywords: optimal control problem, semi-linear elliptic equations, difference method of solving.
Received: 14.01.2014
Russian version:
Ufimskii Matematicheskii Zhurnal, 2014, Volume 6, Issue 3, Pages 72–87
Bibliographic databases:
Document Type: Article
UDC: 519.626
MSC: 49J20, 35A35,35J61, 65N06
Language: English
Original paper language: Russian
Citation: A. R. Manapova, F. V. Lubyshev, “Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions”, Ufimsk. Mat. Zh., 6:3 (2014), 72–87; Ufa Math. J., 6:3 (2014), 69–84
Citation in format AMSBIB
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\by A.~R.~Manapova, F.~V.~Lubyshev
\paper Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions
\jour Ufimsk. Mat. Zh.
\yr 2014
\vol 6
\issue 3
\pages 72--87
\mathnet{http://mi.mathnet.ru/ufa253}
\elib{https://elibrary.ru/item.asp?id=22370780}
\transl
\jour Ufa Math. J.
\yr 2014
\vol 6
\issue 3
\pages 69--84
\crossref{https://doi.org/10.13108/2014-6-3-69}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928190379}
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  • https://www.mathnet.ru/eng/ufa/v6/i3/p72
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Уфимский математический журнал
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    Abstract page:385
    Russian version PDF:142
    English version PDF:22
    References:86
     
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