@article{UFA_2014_6_3_a4,
author = {A. R. Manapova and F. V. Lubyshev},
title = {Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions},
journal = {Ufa mathematical journal},
pages = {69--84},
year = {2014},
volume = {6},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a4/}
}
TY - JOUR AU - A. R. Manapova AU - F. V. Lubyshev TI - Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions JO - Ufa mathematical journal PY - 2014 SP - 69 EP - 84 VL - 6 IS - 3 UR - http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a4/ LA - en ID - UFA_2014_6_3_a4 ER -
%0 Journal Article %A A. R. Manapova %A F. V. Lubyshev %T Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions %J Ufa mathematical journal %D 2014 %P 69-84 %V 6 %N 3 %U http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a4/ %G en %F UFA_2014_6_3_a4
A. R. Manapova; F. V. Lubyshev. Accuracy estimate with respect to state of finite-dimensional approximations for optimization problems for semi-linear elliptic equations with discontinuous coefficients and solutions. Ufa mathematical journal, Tome 6 (2014) no. 3, pp. 69-84. http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a4/
[1] Vasilev F. P., Metody optimizatsii, Faktorial Press, M., 2002
[2] Ishmukhametov A. Z., Voprosy ustoichivosti i approksimatsii zadach optimalnogo upravleniya, VTs RAN, M., 1999
[3] Ishmukhametov A. Z., Voprosy ustoichivosti i approksimatsii zadach optimalnogo upravleniya sistemami s raspredelennymi parametrami, VTs RAN, M., 2001 | MR
[4] Potapov M. M., Approksimatsiya ekstremalnykh zadach v matematicheskoi fizike (giperbolicheskie uravneniya), Izd-vo MGU, M., 1985
[5] Lubyshev F. V., Raznostnye approksimatsii zadach optimalnogo upravleniya sistemami, opisyvaemymi uravneniyami v chastnykh proizvodnykh, BGU, Ufa, 1999
[6] Samarskii A. A., Andreev V. B., Raznostnye metody dlya ellipticheskikh uravnenii, Nauka, M., 1976 | MR
[7] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR
[8] Tsurko V. A., “O tochnosti raznostnykh skhem dlya parabolicheskikh uravnenii s razryvnym resheniem”, Differents. ur-niya, 36:7 (2000), 986–992 | MR | Zbl
[9] Tsurko V. A., “Raznostnye metody dlya zadach konvektsii-diffuzii s razryvnymi koeffitsientami i resheniyami”, Differents. ur-niya, 41:2 (2005), 274–280 | MR | Zbl
[10] Lubyshev F. V., “Approksimatsiya i regulyarizatsiya zadach optimalnogo upravleniya dlya parabolicheskikh uravnenii s upravleniyami v koeffitsientakh”, Dokl. RAN, 349:5 (1996), 598–602 | MR | Zbl
[11] Lubyshev F. V., Fairuzov M. E., “Approksimatsiya i regulyarizatsiya zadach optimalnogo upravleniya dlya kvazilineinykh ellipticheskikh uravnenii”, Zhurnal vychisl. matem. i matem. fiziki, 41:8 (2001), 1148–1164 | MR | Zbl
[12] Lubyshev F. V., Manapova A. R., “O nekotorykh zadachakh optimalnogo upravleniya i ikh raznostnykh approksimatsiyakh i regulyarizatsii dlya kvazilineinykh ellipticheskikh uravnenii s upravleniyami v koeffitsientakh”, Zhurnal vychisl. matem. i matem. fiziki, 47:3 (2007), 376–396 | MR | Zbl
[13] Lubyshev F. V., Manapova A. R., “Raznostnye approksimatsii zadach optimizatsii dlya polulineinykh ellipticheskikh uravnenii v vypukloi oblasti s upravleniyami v koeffitsientakh pri starshikh proizvodnykh”, Zhurnal vychisl. matem. i matem. fiziki, 53:1 (2013), 20–46 | DOI | MR | Zbl
[14] Kartashov E. M., Analiticheskie metody v teorii teploprovodnosti tverdykh tel, Vysshaya shkola, M., 1985
[15] Sobolev S. L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, SO AN SSSR, Novosibirsk, 1962
[16] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR
[17] Gaevskii Kh., Greger K., Zakharias K., Nelineinye operatornye uravneniya i operatornye differentsialnye uravneniya, Mir, M., 1978 | MR
[18] Kufner A., Fuchik S., Nelineinye differentsialnye uravneniya, Nauka, M., 1988 | MR | Zbl
[19] Gilbarg D., Trudinger N., Ellipticheskie differentsialnye uravneniya s chastnymi proizvodnymi vtorogo poryadka, Nauka, M., 1989 | MR | Zbl
[20] Rektoris K., Variatsionnye metody v matematicheskoi fizike i tekhnike, Mir, M., 1985 | MR
[21] Brauder F. E., Materialy k sovmestnomu sovetsko-amerikanskomu simpoziumu po uravneniyam s chastnymi proizvodnymi, Novosibirsk, 1963
[22] Drenska N. T., “Tochnost chislennykh algoritmov dlya odnomernoi zadachi ob ostyvanii metalla v formakh”, Vestnik Moskovsk. universiteta. Ser. 15. Vychislit. matem. i kibernetika, 1981, no. 4, 15–21 | MR | Zbl