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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 3, Pages 351–354
DOI: https://doi.org/10.31857/S0044466923030031 (Mi zvmmf11520) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Optimal control

Integral identity and estimate of the deviation of approximate solutions of a biharmonic obstacle problem

K. O. Besovab

a Steklov Mathematical Institute of Russian Academy of Sciences, 119991, Moscow, Russia
b Institute of Mathematics and Mathematical Modeling, 050010, Almaty, Kazakhstan
Full-text PDF Citations (1)
DOI: https://doi.org/10.31857/S0044466923030031
Abstract: We show that the integral identity obtained by D.E. Apushkinskaya and S.I. Repin (2020) for approximate solutions of the biharmonic obstacle problem that satisfy a pointwise constraint on the second divergence is valid for arbitrary approximate solutions. Using this result, we obtain a new estimate for the deviation of approximate solutions from exact ones in the case when the approximate solutions do not satisfy the pointwise constraint on the second divergence.
Key words: variational problem, estimates of deviation from the exact solution.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP14869246
This work was supported by the Ministry of Science and Higher Education of the Republic of Kazakhstan (under grant no. AP14869246).
Received: 20.06.2022
Revised: 29.08.2022
Accepted: 14.11.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 3, Pages 333–336
DOI: https://doi.org/10.1134/S096554252303003X
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: K. O. Besov, “Integral identity and estimate of the deviation of approximate solutions of a biharmonic obstacle problem”, Zh. Vychisl. Mat. Mat. Fiz., 63:3 (2023), 351–354; Comput. Math. Math. Phys., 63:3 (2023), 333–336
Citation in format AMSBIB
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\paper Integral identity and estimate of the deviation of approximate solutions of a biharmonic obstacle problem
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\pages 351--354
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\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 3
\pages 333--336
\crossref{https://doi.org/10.1134/S096554252303003X}
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  • https://www.mathnet.ru/eng/zvmmf/v63/i3/p351
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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