Approximation of systems of convection-diffusion elliptic equations with parabolic boundary layers
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 11, pp. 1648-1661 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2000_40_11_a7,
     author = {G. I. Shishkin},
     title = {Approximation of systems of convection-diffusion elliptic equations with parabolic boundary layers},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1648--1661},
     year = {2000},
     volume = {40},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_11_a7/}
}
TY  - JOUR
AU  - G. I. Shishkin
TI  - Approximation of systems of convection-diffusion elliptic equations with parabolic boundary layers
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2000
SP  - 1648
EP  - 1661
VL  - 40
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_11_a7/
LA  - ru
ID  - ZVMMF_2000_40_11_a7
ER  - 
%0 Journal Article
%A G. I. Shishkin
%T Approximation of systems of convection-diffusion elliptic equations with parabolic boundary layers
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2000
%P 1648-1661
%V 40
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_11_a7/
%G ru
%F ZVMMF_2000_40_11_a7
G. I. Shishkin. Approximation of systems of convection-diffusion elliptic equations with parabolic boundary layers. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 11, pp. 1648-1661. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_11_a7/

[1] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1989 | MR

[2] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR

[3] Ilin A. M., “Raznostnaya skhema dlya differentsialnogo uravneniya s malym parametrom pri starshei proizvodnoi”, Matem. zametki, 6:2 (1969), 237–248

[4] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983 | MR

[5] Shishkin G. I., Setochnye approksimatsii singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, UrO RAN, Ekaterinburg, 1992

[6] Shishkin G. I., “On finite difference fitted schemes for singularly perturbed boundary value problems with a parabolic boundary layer”, J. Math. Analys. and Appl., 208 (1997), 181–204 | DOI | MR | Zbl

[7] Miller J. J. H., O'Riordan E., Shishkin G. I., “On the use of fitted operator methods for singularly perturbed partial differential equations”, Advanced Math.: Comput. and Applic., Proc. Internat. Conf. AMCA-95 (Novosibirsk, 20–24 June, 1995), NCC Publ., Novosibirsk, 1995, 518–531 | MR

[8] Bakhvalov N. S., “K optimizatsii metodov resheniya kraevykh zadach pri nalichii pogranichnogo sloya”, Zh. vychisl. matem. i matem. fiz., 9:4 (1969), 841–859 | Zbl

[9] Miller J. J. H., O'Riordan E., Shishkin G. I., Fitted numerical methods for singular perturbation problems, World Scient., Singapore, 1996 | MR

[10] Brainina X. Z., Neiman E. Ya., Tverdofaznye reaktsii v elektroanaliticheskoi khimii, Khimiya, M., 1982

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

[12] Shishkin G. I., “Grid approximations of singularly perturbed elliptic equations in domain with characteristic bounds”, Soviet J. Numer. Analys. Meth. Modelling, 5:4 (1990), 327–343 | DOI | MR | Zbl

[13] Shishkin G. I., “Setochnaya approksimatsiya singulyarno vozmuschennoi kraevoi zadachi dlya kvazilineinogo ellipticheskogo uravneniya v sluchae polnogo vyrozhdeniya”, Zh. vychisl. matem. i matem. fiz., 31:12 (1991), 1808–1825 | MR | Zbl

[14] Shishkin G. I., “Grid approximation of singularly perturbed boundary value problem for the quasi-linear elliptic equation degenerating into the first-order equation”, Soviet. J. Numer. Analys. Math. Modelling, 6:1 (1991), 61–81 | DOI | MR | Zbl