@article{SJVM_2003_6_3_a7,
author = {S. B. Sorokin},
title = {The conjugate-operator model for a~dynamic problem of the plate theory},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {299--311},
year = {2003},
volume = {6},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a7/}
}
S. B. Sorokin. The conjugate-operator model for a dynamic problem of the plate theory. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 3, pp. 299-311. http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a7/
[1] Konovalov A. N., Sorokin S. B., Struktura uravnenii teorii uprugosti. Staticheskaya zadacha, Preprint AN SSSR. Sib. otd-nie. VTs; 665, Novosibirsk, 1986, 26 pp. | MR
[2] Konovalov A. N., “Chislennye metody v staticheskikh zadachakh teorii uprugosti”, Sib. mat. zhurn., 36:3 (1995), 573–589 | MR | Zbl
[3] Konovalov A. N., “Chislennye metody v dinamicheskikh zadachakh teorii uprugosti”, Sib. mat. zhurn., 38:3 (1997), 551–568 | MR | Zbl
[4] Sorokin S. B., Sopryazhenno-faktorizovannye modeli v teorii plastin, Preprint AN SSSR. Sib. otd-nie. VTs; 1069, Novosibirsk, 1996, 16 pp. | MR
[5] Sorokin S. B., “Conjugate-factorized models in plate theory”, Siberian J. of Numer. Mathematics / Sib. Branch of Russ. Acad. of Sci. – - Novosibirsk, 2:1 (1999), 81–88 | MR | Zbl
[6] Landau L. D., Lifshits E. M., Teoriya uprugosti, Nauka, M., 1987 | MR | Zbl
[7] Rabotnov Yu. N., Mekhanika deformiruemogo tverdogo tela, Nauka, M., 1988 | Zbl
[8] Timoshenko S. P., Kurs teorii uprugosti, Naukova dumka, Kiev, 1972
[9] Bukenov M. M., Kuznetsov Yu. A., Ob odnoi spektralnoi zadache teorii uprugosti, Preprint AN SSSR. Sib. otd-nie. VTs; 81, Novosibirsk, 1981, 13 pp. | MR
[10] Arbash Zh., Kobelkov G. M., “Numerical methods for solving elasticity theory problems with strongly varying coefficients”, Russian J. Numer. Anal. and Math. Modelling, 8:5 (1993), 371–384 | DOI | MR
[11] Filin A. N., Prikladnaya mekhanika tverdogo deformiruemogo tela, T. 2, Nauka, M., 1978
[12] Umanskii S. E., Optimizatsiya priblizhennykh metodov resheniya kraevykh zadach mekhaniki, Naukova dumka, Kiev, 1983 | MR
[13] Bezukhov N. I., Osnovy teorii uprugosti, plastichnosti i polzuchesti, Vysshaya shkola, M., 1968
[14] Timoshenko S. P., Kolebaniya v inzhenernom dele, Gos. izd-vo fiz.-mat. literatury, M., 1959
[15] Konovalov A. N., “Dinamicheskaya zadacha teorii uprugosti v postanovke “skorosti-napryazheniya””, Differents. uravneniya, 35:2 (1999), 238–248 | MR | Zbl
[16] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1977 | MR | Zbl