The decomposition method for solving elliptic problems in a three-dimensional domain
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 10, pp. 87-96 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1996_36_10_a8,
     author = {G. P. Astrakhantsev},
     title = {The decomposition method for solving elliptic problems in a three-dimensional domain},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {87--96},
     year = {1996},
     volume = {36},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a8/}
}
TY  - JOUR
AU  - G. P. Astrakhantsev
TI  - The decomposition method for solving elliptic problems in a three-dimensional domain
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1996
SP  - 87
EP  - 96
VL  - 36
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a8/
LA  - ru
ID  - ZVMMF_1996_36_10_a8
ER  - 
%0 Journal Article
%A G. P. Astrakhantsev
%T The decomposition method for solving elliptic problems in a three-dimensional domain
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1996
%P 87-96
%V 36
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a8/
%G ru
%F ZVMMF_1996_36_10_a8
G. P. Astrakhantsev. The decomposition method for solving elliptic problems in a three-dimensional domain. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 10, pp. 87-96. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a8/

[1] Astrakhantsev G. P., “O chislennom reshenii zadachi Dirikhle v proizvolnoi oblasti”, Raznostnye i variatsionno-raznostnye metody, 2, VTs SO AN SSSR, Novosibirsk, 1977, 63–72 | MR

[2] Kaporin I. E., Nikolaev E. S., “Metod fiktivnykh neizvestnykh dlya resheniya raznostnykh ellipticheskikh kraevykh zadach v neregulyarnykh oblastyakh”, Differents. ur-niya, 16:7 (1980), 1211–1225 | MR | Zbl

[3] Matsokin A. M., “Metod fiktivnykh komponent i modifitsirovannyi raznostnyi analog metoda Shvartsa”, Vychisl. metody lineinoi algebry, VTs SO AN SSSR, Novosibirsk, 1980, 66–71 | MR

[4] Lebedev V. I., Agoshkov V. I., Operatory Puankare–Steklova i ikh prilozheniya v analize, OVM AN SSSR, M., 1983 | MR

[5] Astrakhantsev G. P., “Raznostnye analogi potentsialov, metody fiktivnykh komponent i dekompozitsii”, Vestn. SPb un-ta. Ser. 1, 1996, no. 1(1), 3–8 | MR | Zbl

[6] Bramble J. H., Pasciak J. E., Schatz A. H., “The construction of preconditioners for elliptic problems, IV”, Math. Comput., 53:187 (1989), 1–24 | MR

[7] Dryja M., Widlund O., “Towards a unified theory of domain decomposition algorithms for elliptic problems”, 3th Internat. Symp. Domain Decomposition Methods Partial Different. Equations, SIAM, Philadelphia, 1989, 3–21 | MR

[8] Astrakhantsev G. P., “Metod fiktivnykh oblastei dlya ellipticheskogo uravneniya vtorogo poryadka s estestvennymi granichnymi usloviyami”, Zh. vychisl. matem. i matem. fiz., 18:1 (1978), 118–125 | MR | Zbl

[9] Ilin V. P., “Svoistva nekotorykh klassov differentsiruemykh funktsii mnogikh peremennykh, zadannykh v $n$-mernoi oblasti”, Tr. MIAN SSSR, 66, M., 1962, 227–363

[10] Lions Zh.-L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971 | Zbl

[11] Yakovlev G. N., “O sledakh funktsii iz prostranstva $W_p^l$ na kusochno-gladkikh poverkhnostyakh”, Matem. sb., 74(116):4 (1967), 526–543 | MR | Zbl

[12] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975 | MR | Zbl