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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 4, Pages 718–740
(Mi zvmmf675)
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This article is cited in 3 scientific papers (total in 3 papers)
Difference approximation of the problem of bending vibrations of a thin elastic plate
A. A. Kuleshov Institute of Mathematical Modeling, Russian Academy of Sciences, pl. Miusskaya 4a, Moscow, 125047, Russia
Abstract:
The problem of bending vibrations of a thin elastic plate is considered. A difference method is proposed for solving the problem. The convergence of the solution of the difference problem to a generalized solution of the original differential problem is proved and the rate of convergence is estimated.
Key words:
equation of vibrations of thin elastic plates, difference method, convergence to a generalized solution.
Received: 07.12.2004
Citation:
A. A. Kuleshov, “Difference approximation of the problem of bending vibrations of a thin elastic plate”, Zh. Vychisl. Mat. Mat. Fiz., 45:4 (2005), 718–740; Comput. Math. Math. Phys., 45:4 (2005), 694–715
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https://www.mathnet.ru/eng/zvmmf675 https://www.mathnet.ru/eng/zvmmf/v45/i4/p718
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Abstract page: | 367 | Full-text PDF : | 137 | References: | 74 | First page: | 1 |
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