Finite difference schemes for convection-diffusion problems on irregular meshes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 5, pp. 726-739 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2000_40_5_a6,
     author = {P. N. Vabishchevich and A. A. Samarskii},
     title = {Finite difference schemes for convection-diffusion problems on irregular meshes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {726--739},
     year = {2000},
     volume = {40},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a6/}
}
TY  - JOUR
AU  - P. N. Vabishchevich
AU  - A. A. Samarskii
TI  - Finite difference schemes for convection-diffusion problems on irregular meshes
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2000
SP  - 726
EP  - 739
VL  - 40
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a6/
LA  - ru
ID  - ZVMMF_2000_40_5_a6
ER  - 
%0 Journal Article
%A P. N. Vabishchevich
%A A. A. Samarskii
%T Finite difference schemes for convection-diffusion problems on irregular meshes
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2000
%P 726-739
%V 40
%N 5
%U http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a6/
%G ru
%F ZVMMF_2000_40_5_a6
P. N. Vabishchevich; A. A. Samarskii. Finite difference schemes for convection-diffusion problems on irregular meshes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 5, pp. 726-739. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a6/

[1] Samarskii A. A., Fryazinov I. V., “O raznostnykh metodakh approksimatsii zadach matematicheskoi fiziki”, Uspekhi matem. nauk, 31:6 (1976), 167–197 | MR | Zbl

[2] Samarskii A. A., Koldoba A. V., Poveschenko Yu. A. i dr., Raznostnye skhemy na neregulyarnykh setkakh, Kriterii, Minsk, 1996

[3] Godunov S. L., Zabrodin A. V., Ivanov M. Ya. i dr., Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1976 | MR | Zbl

[4] Heinrich B., Finite difference methods on irregular networks, Akad.-Verl., Berlin, 1987 | MR

[5] Aurenhammer F., “Voronoi diagrams – A survey of a fundamental geometric data structure”, ACM Comput. Surveys, 23 (1991), 345–405 | DOI

[6] Fortune S., “Voronoi diagrams and Delaunay triangulations”, Comput. Euclidean Geimetry, Lect. Notes Ser. Computing, 1, World Scientific, Singapore, 1992, 193–233 | MR

[7] George P.-L., Borouchaki H., Delaunay traingulation and meshing: Application to finite elements, Hermes, Paris, 1998 | MR

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

[9] Samarskii A. A., “Uravneniya parabolicheskogo tipa i raznostnye metody ikh resheniya”, Tr. Vses. soveschaniya po differents. ur-niyam, 1958, Izd-vo AN ArmSSR, Erevan, 1960, 148–160

[10] Versteeg H. K., Malalaseker W., An introduction to computational fluid dynamics: The finite volume method, Longman Scient. Techn., 1995

[11] Solovev A. V., Soloveva E. V., Tishkin V. F. i dr., “Issledovanie approksimatsii raznostnykh operatorov na setke iz yacheek Dirikhle”, Differents. ur-niya, 22:7 (1986), 1227–1237 | MR

[12] Samarskii A. A., Vabischevich P. N., Chislennye metody resheniya zadach konvektsii-diffuzii, Editorial URSS, M., 1999

[13] Samarskii A. A., Vabischevich P. N., “Raznostnye skhemy na neregulyarnykh setkakh”, Dokl. RAN, 370:1 (2000), 27–30 | MR

[14] Syarle F., Metod konechnykh elementov dlya ellipticheskikh zadach, Mir, M., 1977

[15] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | MR

[16] Samarskii A. A., Vabishchevich P. N., Computational heat transfer, Wiley, Chichester, 1995

[17] Samarskii A. A., Tishkin V. F., Favorskii A. P. i dr., “Operatornye raznostnye skhemy”, Differents. ur-niya, 17:7 (1981), 1317–1321 | MR