Geodesic
Error of the Bubnov–Galerkin method with perturbations for symmetric spectral problems with nonlinear entrance of the parameter
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 5, pp. 675-691 Cet article a éte moissonné depuis la source Math-Net.Ru

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S. I. Solov'ev. Error of the Bubnov–Galerkin method with perturbations for symmetric spectral problems with nonlinear entrance of the parameter. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 5, pp. 675-691. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_5_a1/

[1] Karma O. O., “Asimptoticheskie otsenki pogreshnosti priblizhennykh kharakteristicheskikh znachenii golomorfnykh fredgolmovykh operator-funktsii”, Zh. vychisl. matem. i matem. fiz., 11:3 (1971), 559–568 | MR | Zbl

[2] Karma O. O., “Ob approksimatsii operator-funktsii i skhodimosti priblizhennykh sobstvennykh znachenii”, Tr. VTs Tartuskogo gos. un-ta, 24, Tartu, 1971, 3–143 | MR

[3] Karma O. O., “O skhodimosti diskretizatsionnykh metodov otyskaniya sobstvennykh znachenii integralnykh i differentsialnykh operatorov, golomorfno zavisyaschikh ot parametra”, Tr. VTs Tartuskogo gos. un-ta, 24, Tartu, 1971, 144–159 | MR

[4] Babuška I., Aziz A. K., “Survey lectures on the mathematical foundations of the finite element method”, Math. Foundations Finite Element Method Applics Partial Different. Equations, Acad. Press, N. Y., 1972, 3–359 | MR

[5] Gulin A. V., Kregzhde A. V., Raznostnye skhemy dlya nekotorykh nelineinykh spektralnykh zadach, Preprint No 153, IPMatem. AN SSSR, M., 1981

[6] Kregzhde A. V., “O raznostnykh skhemakh dlya nelineinoi zadachi Shturma-Liuvillya”, Differents. ur-niya, 17:7 (1981), 1280–1284 | MR | Zbl

[7] Solovëv S. I., Metod konechnykh elementov dlya simmetrichnykh zadach na sobstvennye znacheniya s nelineinym vkhozhdeniem parametra, Dis. ...kand. fiz.-matem. nauk, Kaz. un-t, Kazan, 1990

[8] Dautov R. Z., Lyashko A. D., Solovëv S. I., “Skhodimost metoda Bubnova-Galerkina s vozmuscheniyami dlya simmetrichnykh spektralnykh zadach s nelineinym vkhozhdeniem parametra”, Differents. ur-niya, 27:7 (1991), 1123–1131

[9] Fix G. J., “Effects of quadrature errors in finite element approximation of steady state, eigenvalue and parabolic problems”, Math. Foundations Finite Element Method Applies Partial Differential Equations, Acad. Press, N. Y., 1972, 525–556 | MR

[10] Banerjee U., Osborn J. E., “Estimation of the effect of numerical integration in finite element eigenvalue approximation”, Numer. Math., 56:8 (1990), 735–762 | DOI | MR | Zbl

[11] Riss F., Sëkefalvi-Nad B., Lektsii po funktsionalnomu analizu, Mir, M., 1979 | MR

[12] Mikhlin S. G., Variatsionnye metody v matematicheskoi fizike, Nauka, M., 1970 | MR | Zbl

[13] Vainikko G. M., “Asimptoticheskie otsenki pogreshnosti proektsionnykh metodov v probleme sobstvennykh znachenii”, Zh. vychisl. matem. i matem. fiz., 4:3 (1964), 405–425 | MR | Zbl

[14] Vainikko G. M., “O bystrote skhodimosti priblizhennykh metodov v probleme sobstvennykh znachenii”, Zh. vychisl. matem. i matem. fiz., 7:5 (1967), 977–987 | MR | Zbl

[15] Aslanyan A. G., Lidskii V. B., “O spektre ellipticheskogo uravneniya”, Matem. zametki, 7:4 (1970), 495–502 | Zbl

[16] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973 | MR

[17] Kondratev V. A., “Kraevye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi ili uglovymi tochkami”, Tr. Mosk. matem. ob-va, 16, M., 1967, 209–292

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

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

[20] Mikhailov V. P., Differentsialnye uravneniya v chastnykh proizvodnykh, Nauka, M., 1983 | MR