Geodesic
The method of fictitious domains for the Laplace equation with heterogeneous boundary conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 7, pp. 1095-1103 
J. L. Korobitsina. The method of fictitious domains for the Laplace equation with heterogeneous boundary conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 7, pp. 1095-1103. http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_7_a9/
@article{ZVMMF_1993_33_7_a9,
     author = {J. L. Korobitsina},
     title = {The method of fictitious domains for the {Laplace} equation with heterogeneous boundary conditions},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1095--1103},
     year = {1993},
     volume = {33},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_7_a9/}
}
TY  - JOUR
AU  - J. L. Korobitsina
TI  - The method of fictitious domains for the Laplace equation with heterogeneous boundary conditions
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1993
SP  - 1095
EP  - 1103
VL  - 33
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_7_a9/
LA  - ru
ID  - ZVMMF_1993_33_7_a9
ER  - 
%0 Journal Article
%A J. L. Korobitsina
%T The method of fictitious domains for the Laplace equation with heterogeneous boundary conditions
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1993
%P 1095-1103
%V 33
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_7_a9/
%G ru
%F ZVMMF_1993_33_7_a9

Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Neklyudov V. I., Chashechkin Yu. D., Eksperimentalnoe issledovanie generatsii i vzaimodeistviya dvumernykh monokhromaticheskikh vnutrennikh voln, Preprint No 356, In-t problem mekhan. AN SSSR, M., 1988

[2] Bugrov A. N., “Metod fiktivnykh oblastei dlya uravnenii s chastnymi proizvodnymi ellipticheskogo tipa”, Chisl. metody resheniya zadach teorii uprugosti i plastichnosti, Materialy V Vses. konf., v. II, ITPM SO AN SSSR, Novosibirsk, 1978, 24–35

[3] Voitsekhovskii S. A., Gavrilyuk I. P., Makarov V. L., “O metode fiktivnykh oblastei dlya resheniya zadach matematicheskoi fiziki v oblastyakh slozhnoi formy i ego realizatsii. I; II”, Vychisl. i prikl. matem., 51, Vischa shkola, Kiev, 1983, 23–44 ; 52, 1984, 3–10 | MR | MR

[4] Konovalov A. N., Konyukh G. V., Tsurikov N. V., “O printsipakh postroeniya iteratsionnykh protsessov v metode fiktivnykh oblastei”, Variatsionnye metody v zadachakh chislennogo analiza, VTs SO AN SSSR, Novosibirsk, 1986, 58–79

[5] Kovalev O. B., Larkin N. A., “Primenenie metoda fiktivnykh oblastei pri reshenii neodnorodnoi tretei kraevoi zadachi dlya uravneniya teploprovodnosti”, Chisl. metody mekhan. sploshnoi sredy, 9, no. 6, VTs ITPM SO AN SSSR, Novosibirsk, 1978, 77–84 | MR

[6] Vabischevich P. N., Vabischevich T. N., “Chislennoe reshenie statsionarnykh zadach vyazkoi neszhimaemoi zhidkosti na osnove metoda fiktivnykh oblastei”, Vychisl. matematika i matem. obespechenie EVM, Izd-vo MGU, M., 1985, 255–262

[7] Bugrov A. N., “K obosnovaniyu metoda fiktivnykh oblastei dlya neodnorodnykh kraevykh uslovii pervogo roda”, Aktualnye probl. vychisl. i prikl. matem., Tezisy dokl. Vses. konf., VTs SO AN SSSR, Novosibirsk, 1987, 35–36

[8] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1977 | MR | Zbl

[9] Bugrov A. N., “Iteratsionnye skhemy resheniya setochnykh uravnenii, voznikayuschikh v metode fiktivnykh oblastei”, Chisl. analiz, ITPM SO AN SSSR, Novosibirsk, 1978, 10–23 | MR

[10] Bugrov A. N., “Obosnovanie metoda fiktivnykh oblastei na konechno-raznostnom urovne”, Matematika, Materialy XIV Vses. stud. konf., Novosibirsk, 1976, 19–25

[11] Vabischevich P. N., Gassiev F. V., Pulatov P. A., “Vychislitelnaya realizatsiya metoda fiktivnykh oblastei dlya ellipticheskikh uravnenii na osnove poperemenno-treugolnogo metoda”, Zh. vychisl. matem. i matem. fiz., 27:9 (1987), 1381–1387 | MR

[12] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | MR