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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 10, Pages 1711–1720
DOI: https://doi.org/10.31857/S0044466920100038 (Mi zvmmf11145) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Partial Differential Equations

Best recovery of the solution of the Dirichlet problem in a half-space from inaccurate data

E. V. Abramovaa, G. G. Magaril-Il'yaevb, E. O. Sivkovac

a National Research University "Moscow Power Engineering Institute", Moscow, 111250 Russia
b Lomonosov Moscow State University, Moscow, 119991 Russia
c Moscow State Pedagogical University, Moscow, 119991 Russia
Citations (11)
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DOI: https://doi.org/10.31857/S0044466920100038
Abstract: A family of linear optimal methods for reconstructing the solution of the Dirichlet problem on a hyperplane from information about its approximate measurements on a finite number of other hyperplanes is constructed. In this case, optimal methods do not use all the available information, but only information about the measurements of the solution on at most two planes.
Key words: Dirichlet problem, optimal recovery, extremal problem.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00649-а
This work was supported by the Russian Foundation for Basic Research, grant no. 17-01-00649-a.
Received: 20.02.2020
Revised: 20.02.2020
Accepted: 09.06.2020
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 10, Pages 1656–1665
DOI: https://doi.org/10.1134/S0965542520100036
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. V. Abramova, G. G. Magaril-Il'yaev, E. O. Sivkova, “Best recovery of the solution of the Dirichlet problem in a half-space from inaccurate data”, Zh. Vychisl. Mat. Mat. Fiz., 60:10 (2020), 1711–1720; Comput. Math. Math. Phys., 60:10 (2020), 1656–1665
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
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