Geodesic
Analysis of the error of the approximate superelement method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 7, pp. 963-983 Cet article a éte moissonné depuis la source Math-Net.Ru

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A general analysis of the error of the method of approximate superelements, in the norm of the space $L_2(\Omega)$ is given. An error bound is derived for the problem of a plate. 
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V. V. Repyakh. Analysis of the error of the approximate superelement method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 7, pp. 963-983. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a0/

[1] Dmitriev L. G., Repyakh V. V., “Raschet diskretnykh sistem s bolshim chislom stepenei svobody”, EVM v issl. i proektirovanii ob'ektov str-va, 3, Zonalnyi NII tipovogo i eksperim. proektirovaniya grazhdanskikh zdanii, Kiev, 1973, 148–171

[2] Repyakh V. V., “Metod priblizhennogo rascheta diskretnykh uprugikh sistem s bolshim chislom stepenei svobody”, EVM v issl. i proektirovanii ob'ektov str-va, 6, Zonalnyi NII tipovogo i eksperim. proektirovaniya grazhdanskikh zdanii, Kiev, 1976, 121–130

[3] Repyakh V. V., “Primenenie odnogo varianta metoda superelementov k resheniyu ploskoi zadachi teorii uprugosti”, Zh. vychisl. matem. i matem. fiz., 26:11 (1986), 1643–1653 | MR

[4] Repyakh V. V., Lyubinskii V. Yu., Sichkarenko S. V., Metod priblizhennykh superelementov i ego primenenie v raschetakh nesuschikh sistem zdanii, TsNTI po grazhdanskomu str-vu i arkhitekture, M., 1987

[5] Strakhovskaya L. G., Fedorenko R. P., “Ob odnoi spetsialnoi raznostnoi skheme”, Chisl. metody mekhan. sploshnoi sredy, 7, no. 4, VTs SO AN SSSR, Novosibirsk, 1976, 149–163

[6] Strakhovskaya L. G., Fedorenko R. P., “Ob odnom variante metoda konechnykh elementov”, Zh. vychisl. matem. i matem. fiz., 19:4 (1979), 950–960 | MR | Zbl

[7] Klimov A. D., Strakhovskaya L. G., Fedorenko R. P., “Chislennyi metod rascheta neitronnogo polya v trekhmernoi pryamougolnoi yacheike reaktora”, Zh. vychisl. matem. i matem. fiz., 24:7 (1984), 1096–1101

[8] Ilyushin A. A., “Zagadki mekhaniki tverdykh deformiruemykh tel”, Nereshennye probl. mekhan. i prikl. matem., Izd-vo MGU, M., 1977, 68–73

[9] Pobedrya B. E., Chislennye metody v teorii uprugosti i plastichnosti, Izd-vo MGU, M., 1984 | Zbl

[10] Oganesyan L. A., Rukhovets L. A., Variatsionno-raznostnye metody resheniya ellipticheskikh uravnenii, Izd-vo AN ArmSSR, Erevan, 1979

[11] Syarle F., Metod konechnykh elementov dlya ellipticheskikh zadach, Mir, M., 1980 | MR

[12] Streng G., Fiks Dzh., Teoriya metoda konechnykh elementov, Mir, M., 1977 | MR

[13] Zavyalov Yu. S., Kvasov B. I., Miroshnichenko V. L., Metody splain-funktsii, Nauka, M., 1980 | MR

[14] Rektoris K., Variatsionnye metody v matematicheskoi fizike i tekhnike, Mir, M., 1985 | MR | Zbl

[15] Fried I., “A gradient computational procedure for the solution of large problems arising from the finite element discretization method”, J. Numer. Methods Engng., 2 (1970), 477–494 | DOI | MR | Zbl

[16] Kron G., Issledovanie slozhnykh sistem po chastyam — diakoptika, Nauka, M., 1972 | Zbl