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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 2, Pages 355–365 (Mi zvmmf4538)  
This article is cited in 3 scientific papers (total in 3 papers)

Estimates of the rate of convergence of difference schemes for fourth-order elliptic equations

I. P. Gavriljuk, R. D. Lazarov, V. L. Makarov, S. P. Pirnazarov

Kiev – Sofia, BNR
Full-text PDF (1110 kB) Citations (3)
Abstract: The second boundary value problem is considered for two-dimensional linear and quasilinear fourth-order elliptic equations in a rectangle, when the solution belongs to classes $W^{3+s}_2(\Omega)$, $s=0,1$. Using operators of exact difference schemes, schemes are constructed for which convergence-rate estimates of order $O(|h|^{1+s})$ in the mesh norm of $W^2_2(\omega)$ are established.
Received: 01.06.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 2, Pages 64–70
DOI: https://doi.org/10.1016/S0041-5553(83)80049-4
Bibliographic databases:
Document Type: Article
UDC: 519.632
MSC: Primary 65N12; Secondary 65N15, 31A30, 35J40
Language: Russian
Citation: I. P. Gavriljuk, R. D. Lazarov, V. L. Makarov, S. P. Pirnazarov, “Estimates of the rate of convergence of difference schemes for fourth-order elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983), 355–365; U.S.S.R. Comput. Math. Math. Phys., 23:2 (1983), 64–70
Citation in format AMSBIB
\Bibitem{GavLazMak83}
\by I.~P.~Gavriljuk, R.~D.~Lazarov, V.~L.~Makarov, S.~P.~Pirnazarov
\paper Estimates of the rate of convergence of difference schemes for fourth-order elliptic equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 2
\pages 355--365
\mathnet{http://mi.mathnet.ru/zvmmf4538}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=698223}
\zmath{https://zbmath.org/?q=an:0541.65064}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 2
\pages 64--70
\crossref{https://doi.org/10.1016/S0041-5553(83)80049-4}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i2/p355
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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