References
S. Moskow, V. Druskin, T. Habashy, et al., SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 36, 442 (1999).
P. R. King, A. H. Muggeridge, and W. G. Price, Transp. Porous Media 12, 237 (1993).
Ph. Ciarlet, The Finite Element Method for Elliptic Problems (North-Holland, Amsterdam, 1977; Mir, Moscow, 1980).
I. Babuska, G. Caloz, and J. E. Osborn, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 31, 945 (1994).
R. P. Fedorenko, Introduction to Computational Physics (Mosk. Fiz.-Tekh. Inst., Moscow, 1994).
V. T. Zhukov, N. D. Novikova, L. G. Strakhovskaya, et al., Preprint No. 8, IPM (Russia Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 2001).
A. A. Samarskii, A. V. Koldoba, Yu. A. Poveshchenko, V. V. Tishkin, and A. P. Favorskii, Difference Schemes on Irregular Meshes (Minsk, 1996).
A. V. Koldoba, A. Kh. Pergament, Yu. A. Poveshchenko, and N. A. Simus, Mat. Model. 11(10), 3 (1999).
O. A. Dremov, A. V. Koldoba, A. Kh. Pergament, et al., Preprint No. 131, IPM RAN (Keldysh Inst. of Applied Mathematics, Russian Academy of Sciences, Moscow, 1995).
Author information
Authors and Affiliations
Additional information
__________
Translated from Doklady Akademii Nauk, Vol. 394, No. 3, 2004, pp. 332–337.
Original Russian Text Copyright © 2004 by Myasnikov, Zaslavsky, Pergament.
Rights and permissions
About this article
Cite this article
Myasnikov, V.P., Zaslavsky, M.Y. & Pergament, A.K. Averaging algorithms for problems of the theory of elasticity on rectangular grids nonconforming to the structure of a medium. Dokl. Phys. 49, 58–63 (2004). https://doi.org/10.1134/1.1648095
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1648095