@article{ZVMMF_1994_34_5_a4,
author = {Yu. M. Laevskiǐ},
title = {The decomposition of domains for parabolic problems with discontinuous solutions and the penalty method},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {702--719},
year = {1994},
volume = {34},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_5_a4/}
}
TY - JOUR AU - Yu. M. Laevskiǐ TI - The decomposition of domains for parabolic problems with discontinuous solutions and the penalty method JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1994 SP - 702 EP - 719 VL - 34 IS - 5 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_5_a4/ LA - ru ID - ZVMMF_1994_34_5_a4 ER -
%0 Journal Article %A Yu. M. Laevskiǐ %T The decomposition of domains for parabolic problems with discontinuous solutions and the penalty method %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1994 %P 702-719 %V 34 %N 5 %U http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_5_a4/ %G ru %F ZVMMF_1994_34_5_a4
Yu. M. Laevskiǐ. The decomposition of domains for parabolic problems with discontinuous solutions and the penalty method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 5, pp. 702-719. http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_5_a4/
[1] Vabischevich P. N., “Raznostnye skhemy dekompozitsii raschetnoi oblasti pri reshenii nestatsionarnykh zadach”, Zh. vychisl. matem. i matem. fiz., 29:12 (1989), 1822–1829
[2] Dryja M., Substructuring methods for parabolic problems, Techn. Rept. No. 529, N. Y. Univ. Comput. Sci. Dept., 1990
[3] Laevskii Yu. M., Ob otsenke pogreshnosti nekotorykh pryamykh algoritmov dekompozitsii oblasti bez naleganiya podoblastei resheniya parabolicheskikh uravnenii, Preprint No 955, VTs SO RAN, Novosibirsk, 1992 | MR
[4] Samarskii A. A., Andreev V. B., Raznostnye metody dlya ellipticheskikh uravnenii, Nauka, M., 1976 | MR | Zbl
[5] Drenska I. T., “Ob odnoi zadache sopryazheniya dvukh parabolicheskikh uravnenii”, Differents. ur-niya, 15:12 (1979), 2251–2262 | MR | Zbl
[6] Zelnichenko A. T., Odnorodnye raznostnye skhemy dlya uravneniya teploprovodnosti s razryvnym resheniem, Dis. $\dots$ kand. fiz.-matem. nauk, Kievsk. un-t, Kiev, 1987, 193 pp.
[7] Kutov V. P., Litvinenko S. A., Algoritm iterirovaniya po podoblastyam dlya resheniya ellipticheskikh zadach s usloviyami neidealnogo sopryazheniya, Preprint No 786, VTs SO AN SSSR, Novosibirsk, 1988 | MR
[8] Babuška I., “The finite element method with penalty”, Math. Comput., 27:122 (1973), 221–228 | MR | Zbl
[9] Iosida K., Funktsionalnyi analiz, Mir, M., 1967 | MR
[10] Syarle F., Metod konechnykh elementov dlya ellipticheskikh zadach, Mir, M., 1980 | MR
[11] Laevskii Yu. M., Kontsentriruyuschie operatory v metode konechnykh elementov. Chast 1, Preprint No 907, VTs SO AN SSSR, Novosibirsk, 1990 | MR
[12] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975 | MR | Zbl
[13] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR
[14] Lions Zh.-L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971
[15] Oben Zh.-L., Priblizhennoe reshenie ellipticheskikh kraevykh zadach, Mir, M., 1977 | MR