Geodesic
Comparative analysis of the second order accurate finite element approximation for the Stokes problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 11, pp. 1756-1760 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2002_42_11_a14,
     author = {V. K. Bulgakov and I. I. Potapov},
     title = {Comparative analysis of the second order accurate finite element approximation for the {Stokes} problem},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1756--1760},
     year = {2002},
     volume = {42},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_11_a14/}
}
TY  - JOUR
AU  - V. K. Bulgakov
AU  - I. I. Potapov
TI  - Comparative analysis of the second order accurate finite element approximation for the Stokes problem
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2002
SP  - 1756
EP  - 1760
VL  - 42
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_11_a14/
LA  - ru
ID  - ZVMMF_2002_42_11_a14
ER  - 
%0 Journal Article
%A V. K. Bulgakov
%A I. I. Potapov
%T Comparative analysis of the second order accurate finite element approximation for the Stokes problem
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2002
%P 1756-1760
%V 42
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_11_a14/
%G ru
%F ZVMMF_2002_42_11_a14
V. K. Bulgakov; I. I. Potapov. Comparative analysis of the second order accurate finite element approximation for the Stokes problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 11, pp. 1756-1760. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_11_a14/

[1] Turek S., Efficient solvers for incompressible flow problems: an algorithmic approach in view of computational aspects, LNCSE, 6, Springer, Berlin, Heidelberg, 1999 | MR | Zbl

[2] Temam P., Uravneniya Nave–Stoksa, Mir, M., 1981 | MR | Zbl

[3] Shaidurov V. V., Mnogosetochnye metody konechnykh elementov, Nauka, M., 1989 | MR

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

[5] Bercovier M., Engelman M., “Finite element for the numerical solution of viscous incompressible flows”, J. Comput. Phys., 36 (1979), 181–201 | DOI | MR

[6] Dyakonov E. G., “Otsenki vychislitelnoi raboty v nekotorykh proektsionno-setochnykh metodakh”, Variatsionno-raznostnye metody v matem. fiz., OVM AN SSSR, M., 1984

[7] Arnold D. N., Brezzi F., Fortin M., “A stable finite element for the Stokes equations”, Calcolo, 21 (1984), 334–337 | DOI | MR

[8] Bulgakov B. K., Lipanov A. M., Chekhonin K. A., Ivanov O. M., “Modelirovanie techenii nenyutonovskikh zhidkostei, imeyuschikh predel tekuchesti”, Mekhan. kompozitnykh materialov, 1988, no. 6, 1112–1116

[9] Bulgakov V. K., Chekhonin K. A., “Gidrodinamika techenii polimerizuyuscheisya nelineino-vyazkoplastichnoi zhidkosti, imeyuschei svobodnuyu poverkhnost”, Inzh.-fiz. zhurnal, 57:4 (1989), 577–583 | MR

[10] Chekhonin K. A., Sukhinin P. A., Potapov I. I., “Issledovanie vliyaniya granichnykh uslovii na linii trekhfaznogo kontakta na evolyutsiyu svobodnoi poverkhnosti pri dvizhenii zhidkosti Shulmana”, Matem. modelirovanie, 3, KhGTU, Khabarovsk, 1997, 49–61

[11] Dauge M., “Stationary Stokes and Navier–Stokes system on two- or three-dimensional domains with corners. Part I: Linearized equations”, SIAM J. Math. Analys., 20:1 (1989), 74–97 | DOI | MR | Zbl

[12] Mitsoulis E., “The numerical simulation of boger fluids: A viscometric approximation approach”, Polymer Engng and Sci., 26:22 (1986), 112–128

[13] Bulgakov V. K., Potapov I. M., Metod konechnykh elementov v zadachakh gidrodinamiki, KhGTU, Khabarovsk, 1999

[14] Pissanetski S., Tekhnologiya razrezhennykh matrits, Mir, M., 1988 | MR

[15] Fletcher K., Vychislitelnye metody v dinamike zhidkosti, v. 1, Mir, M., 1991

[16] Brezzi F., “On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers?”, Rev. Francoise Automat. Informat. Rech. Operat. Ser. Rouge Analys. Numer., 8:2 (1974), 129–151 | MR | Zbl