@article{ZVMMF_2010_50_8_a1,
author = {\`E. M. Vikhtenko and G. Vu and R. V. Namm},
title = {On the convergence of the {Uzawa} method with a modified {Lagrange} functional for variational inequalities in mechanics},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1357--1366},
year = {2010},
volume = {50},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a1/}
}
TY - JOUR AU - È. M. Vikhtenko AU - G. Vu AU - R. V. Namm TI - On the convergence of the Uzawa method with a modified Lagrange functional for variational inequalities in mechanics JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 1357 EP - 1366 VL - 50 IS - 8 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a1/ LA - ru ID - ZVMMF_2010_50_8_a1 ER -
%0 Journal Article %A È. M. Vikhtenko %A G. Vu %A R. V. Namm %T On the convergence of the Uzawa method with a modified Lagrange functional for variational inequalities in mechanics %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2010 %P 1357-1366 %V 50 %N 8 %U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a1/ %G ru %F ZVMMF_2010_50_8_a1
È. M. Vikhtenko; G. Vu; R. V. Namm. On the convergence of the Uzawa method with a modified Lagrange functional for variational inequalities in mechanics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 8, pp. 1357-1366. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_8_a1/
[1] Glovinski R., Lions Zh.-L., Tremoler R., Chislennoe issledovanie variatsionnykh neravenstv, Mir, M., 1979 | MR
[2] Glowinski R., Numerical methods for nonlinear variational problems, Springer, New York, 1984 | MR | Zbl
[3] Glavachek I., Gaslinger Ya., Nechas I., Lovishek Ya., Reshenie variatsionnykh neravenstv v mekhanike, Mir, M., 1986 | MR
[4] Vu G., Namm R. V., Sachkov S. A., “Iteratsionnyi metod poiska sedlovoi tochki dlya polukoertsitivnoi zadachi Sinorini, osnovannyi na modifitsirovannom funktsionale Lagranzha”, Zh. vychisl. matem. i matem. fiz., 46:1 (2006), 26–36 | MR | Zbl
[5] Vikhtenko E. M., Namm R. V., “Skhema dvoistvennosti dlya resheniya polukoertsitivnoi zadachi Sinorini s treniem”, Zh. vychisl. matem. i matem. fiz., 47:12 (2007), 2023–2036 | MR
[6] Namm R. V., Sachkov S. A., “Reshenie kvazivariatsionnogo neravenstva Sinorini metodom posledovatelnykh priblizhenii”, Zh. vychisl. matem. i matem. fiz., 49:5 (2009), 805–814 | MR | Zbl
[7] Kushniruk N. N., Namm R. V., “Metod mnozhitelei Lagranzha dlya resheniya polukoertsitivnoi modelnoi zadachi s treniem”, Sibirskii zhurnal vychisl. matem., 12:4 (2009), 409–420 | Zbl
[8] Kikuchi N., Oden T., Contact problem in elasticity: a study of variational inequalities and finite element methods, SIAM, Philadelphia, 1988 | MR | Zbl
[9] Dyuvo G., Lions Zh.-L., Neravenstva v mekhanike i fizike, Nauka, M., 1980 | MR
[10] Polyak B. T., Vvedenie v optimizatsiyu, Nauka, M., 1983 | MR
[11] Grossman K., Kaplan A. A., Nelineinoe programmirovanie na osnove bezuslovnoi minimizatsii, Nauka, Novosibirsk, 1981 | Zbl
[12] Namm R. V., Podgaev A. G., “O $W_2^2$ regulyarnosti reshenii polukoertsitivnykh variatsionnykh neravenstv”, Dalnevostochnyi matem. zhurnal, 3:2 (2002), 210–215
[13] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR
[14] Gilbarg D., Trudinger M., Ellipticheskie differentsialnye uravneniya s chastnymi proizvodnymi, Nauka, M., 1989 | Zbl
[15] Kondratev V. A., “Kraevye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi ili uglovymi tochkami”, Tr. Mosk. matem. ob-va, 1967, 227–313
[16] Grisvard P., Boundary value problems in non-smooth domains, Univ. Dept. Math. College Park, MD, Maryland, 1980
[17] Vikhtenko E. M., Namm R. V., “O metode resheniya polukoertsitivnykh variatsionnykh neravenstv, osnovannom na metode iterativnoi proksimalnoi regulyarizatsii”, Izv. vuzov. Matematika, 2004, no. 1, 31–35 | MR | Zbl