Consistent convergence rate estimates in the grid W 2,0 2 (ω) norm for difference schemes approximating nonlinear elliptic equations with mixed derivatives and solutions from W 2,0 m (Ω), 3

Consistent convergence rate estimates in the grid W 2,0 2 (ω) norm for difference schemes approximating nonlinear elliptic equations with mixed derivatives and solutions from W 2,0 m (Ω), 3 < m ≤ 4

Published:2017-09 Issue:9 Volume:57 Page:1427-1452
ISSN:0965-5425
Container-title:Computational Mathematics and Mathematical Physics
language:en
Short-container-title:Comput. Math. and Math. Phys.

Author:

Lubyshev F. V.,Fairuzov M. E.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0965542517090081.pdf

Reference34 articles.

1. M. M. Karchevskii and A. D. Lyashko, Finite Difference Schemes for Nonlinear Partial Differential Equations (Kazan. Gos. Univ., Kazan, 1976) [in Russian].

2. A. A. Samarskii, The Theory of Difference Schemes (Nauka, Moscow, 1989; Marcel Dekker, New York, 2001).

3. A. A. Samarskii and V. B. Andreev, Difference Schemes for Elliptic Equations (Nauka, Moscow, 1976) [in Russian].

4. A. A. Samarskii and P. N. Vabishchevich, Computational Heat Transfer (Wiley, New York, 1996; Librokom, Moscow, 2009).

5. A. A. Samarskii, R. D. Lazarov, and V. L. Makarov, Difference Schemes for Differential Equations with Weak Solutions (Vysshaya Shkola, Moscow, 1987) [in Russian].

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