Geodesic
On solving an algebraic system of Stokes type under block diagonal preconditioning
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 4, pp. 549-557 
E. V. Chizhonkov. On solving an algebraic system of Stokes type under block diagonal preconditioning. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 4, pp. 549-557. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_4_a3/
@article{ZVMMF_2001_41_4_a3,
     author = {E. V. Chizhonkov},
     title = {On solving an algebraic system of {Stokes} type under block diagonal preconditioning},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {549--557},
     year = {2001},
     volume = {41},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_4_a3/}
}
TY  - JOUR
AU  - E. V. Chizhonkov
TI  - On solving an algebraic system of Stokes type under block diagonal preconditioning
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2001
SP  - 549
EP  - 557
VL  - 41
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_4_a3/
LA  - ru
ID  - ZVMMF_2001_41_4_a3
ER  - 
%0 Journal Article
%A E. V. Chizhonkov
%T On solving an algebraic system of Stokes type under block diagonal preconditioning
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2001
%P 549-557
%V 41
%N 4
%U http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_4_a3/
%G ru
%F ZVMMF_2001_41_4_a3

Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Dyakonov E. G., Minimizatsiya vychislitelnoi raboty. Asimptoticheski optimalnye algoritmy dlya ellipticheskikh zadach, Nauka, M., 1989 | MR

[2] Brezzi F., Fortin M., Mixed and hybrid finite element methods, Springer, New York, 1991 | MR | Zbl

[3] Bychenkov Yu. V., Chizhonkov E. V., “Optimization of one three-parameter method of solving an algebraic system of the Stokes type”, Rus. J. Numer. Analys. and Math. Modelling, 14:5 (1999), 1–129 | MR

[4] Iliash Ju., Rossi T., Torvanen J., Two iterative methods for solving the Stokes problem, Techn. Rept. 2, Univ. Jyvaskyla, Dept. Math. Lab. Sci. Comput., 1993

[5] Silvester D., Wathen A., “Fast iterative solution of stabilized Stokes systems. Part II: Using general block preconditioners”, SIAM J. Numer. Analys., 31:5 (1994), 1352–1367 | DOI | MR | Zbl

[6] Chizhonkov E. V., “Optimizatsiya modifitsirovannogo metoda Yakobi dlya resheniya algebraicheskoi sistemy tipa Stoksa”, Optimizatsiya chisl. metodov, Tezisy dokl. Mezhdunar. nauchn. konf., IMVTs UNTs RAN, Ufa, 1998, 88–90

[7] Bogachev K. Yu., “Effektivnye algoritmy resheniya zhestkikh ellipticheskikh zadach s bolshimi parametrami”, Iteratsionnye metody resheniya lineinykh i nelineinykh setochnykh zadach, Tr. Matem. tsentra im. N. I. Lobachevskogo, 2, UNIPRESS, Kazan, 1999, 3–44

[8] Chizhonkov E. V., “Nekotorye rezultaty o skhodimosti algoritma Errou-Gurvitsa dlya algebraicheskoi sistemy tipa Stoksa”, Zh. vychisl. matem. i matem. fiz., 39:3 (1999), 521–531 | MR

[9] Voevodin V. V., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984 | MR | Zbl

[10] Chizhonkov E. V., Iteratsionnye metody resheniya setochnykh uravnenii s sedlovym operatorom, Dis. ...dokt. fiz.-matem. nauk, MGU, M., 1999, 261 pp.