@article{ZVMMF_2006_46_10_a12,
author = {V. S. Ryaben'kii and V. I. Turchaninov and Ye. Yu. Epshteyn},
title = {Algorithm composition scheme for problems in composite domains based on the difference potential method},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1853--1870},
year = {2006},
volume = {46},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a12/}
}
TY - JOUR AU - V. S. Ryaben'kii AU - V. I. Turchaninov AU - Ye. Yu. Epshteyn TI - Algorithm composition scheme for problems in composite domains based on the difference potential method JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2006 SP - 1853 EP - 1870 VL - 46 IS - 10 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a12/ LA - ru ID - ZVMMF_2006_46_10_a12 ER -
%0 Journal Article %A V. S. Ryaben'kii %A V. I. Turchaninov %A Ye. Yu. Epshteyn %T Algorithm composition scheme for problems in composite domains based on the difference potential method %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2006 %P 1853-1870 %V 46 %N 10 %U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a12/ %G ru %F ZVMMF_2006_46_10_a12
V. S. Ryaben'kii; V. I. Turchaninov; Ye. Yu. Epshteyn. Algorithm composition scheme for problems in composite domains based on the difference potential method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1853-1870. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a12/
[1] Lebedev V. I., Metod kompozitsii, OVM AN SSSR, M., 1986 | MR
[2] Lebedev V. I., Marchuk G. I., Numerical methods of neutron transport theory, Harwood Acad. Publs, Chur, Switzerland, 1986 | MR
[3] Agoshkov V. I., “Metody razdeleniya oblasti v zadachakh matematicheskoi fiziki”, Vychislitelnye protsessy i sistemy, 8, Nauka, M., 1991, 4–50
[4] Lebedev V. I., “The composition method and unconventional problems”, Sov. J. Numer. Analys. and Math. Modelling, 6:6 (1991), 485–496 | DOI | MR | Zbl
[5] Lebedev V. I., Funktsionalnyi analiz i vychislitelnaya matematika, Fizmatlit, M., 2000
[6] Smith B., Bjorstad P., Gropp W., Domain decomposition, parallel multilevel methods for elliptic partial differetial equations, Univ. Press, Cambridge, 1996 | MR
[7] Quarteroni A., Valli A., Domain decomposition methods for partial differential equations, Sci. Publs, Oxford, 1999
[8] Toselli A., Widlund O., Domain decomposition methods – Algorithms and theory, Springer Series in Computational Mathematics, 34, Springer, Berlin, 2005 | MR | Zbl
[9] Ryabenkii B. C., “O raznostnykh uravneniyakh na poliedrakh”, Matem. sb., 79:1 (1969), 78–90
[10] Ryabenkii B. C., “Raschet teploprovodnosti na sisteme sterzhnei”, Zh. vychisl. matem. i matem. fiz., 10:1 (1970), 236–239
[11] Zabrodin A. B., Ogneva V. V., Reshenie uravneniya teploprovodnosti v oblastyakh slozhnoi struktury, Preprint No 21, IPMatem. AN SSSR, M., 1973 | MR
[12] Kamenetskii D. S., Ryabenkii B. C., Tsynkov C. B., Granichnye uravneniya s proektorami v sostavnykh oblastyakh, Preprint No 112, 113, IPMatem. AN SSSR, M., 1991
[13] Ryabenkii B. C., “Granichnye uravneniya s proektorami”, Uspekhi matem. nauk, 40:2 (1985), 121–149 | MR
[14] Ryabenkii B. C., Metod raznostnykh potentsialov i ego prilozheniya, Fizmatlit, M., 2002
[15] Ryabenkii B. C., Vvedenie v vychislitelnuyu matematiku, Fizmatlit, M., 2000
[16] Ryabenkii B. C., Turchaninov V. I., Epshtein E. Yu., Chislennyi primer kompozitsii algoritmov dlya zadach v sostavnykh oblastyakh na baze metoda raznostnykh potentsialov, Preprint No 3, IPMatem. RAN, M., 2003
[17] Calderon A. P., “Boundary value problems for elliptic equations”, Proc. Soviet-American Symp. on Partial Differential Equiations, Fizmatgiz, Novosibirsk, Moscow, 1963, 303–304 | MR