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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 1, Pages 152–177 (Mi zvmmf59)  
This article is cited in 3 scientific papers (total in 3 papers)

Strong convergence of difference approximations in the problem of transverse vibrations of thin elastic plates

A. A. Kuleshova, V. V. Mymrina, A. V. Razgulinb

a Institute of Mathematical Modeling, Russian Academy of Sciences, pl. Miusskaya 4a, Moscow, 125047, Russia
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
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Abstract: The problem of transverse vibrations of a thin elastic plate is considered. It is proved that the differential operators of the boundary value problem are regularly elliptic, and weak solutions are estimated. For a previously developed difference method, the solution to the difference problem is proved to converge strongly to a weak solution of the original differential problem and the rate of convergence is estimated.
Key words: thin elastic plate, vibration equation, weak solutions, regular ellipticity, estimates of weak solutions, difference method, strong convergence.
Received: 28.04.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 1, Pages 146–171
DOI: https://doi.org/10.1134/S0965542509010114
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. A. Kuleshov, V. V. Mymrin, A. V. Razgulin, “Strong convergence of difference approximations in the problem of transverse vibrations of thin elastic plates”, Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009), 152–177; Comput. Math. Math. Phys., 49:1 (2009), 146–171
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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