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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 2, Pages 355–365
(Mi zvmmf4538)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf4538 https://www.mathnet.ru/eng/zvmmf/v23/i2/p355
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Abstract page: | 183 | Full-text PDF : | 88 | First page: | 1 |
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