Optimization of one three-parameter method of solving an algebraic system of the Stokes type

Russian Journal of Numerical Analysis and Mathematical Modelling

Volumn 14, Issue 5, 1999, Pages 429-440

  Bychenkov, Yu V ^a   Chizonkov, E V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010120859     PISSN: 09276467     EISSN: None     Source Type: Journal    
DOI: 10.1515/rnam.1999.14.5.429     Document Type: Article

References (9)

1. N. S. Bakhvalov, G. M. Kobel'kov, and E. V. Chizonkov, Efficient Methods of Solving Navier-Stokes Equations. Numerical Modelling in Aerohydrodynamics. Nauka, Moscow, 1986, pp. 37-45 (in Russian).
2. F. Brezzi and M. Fortin, Mixed and Hibrid Finite Element Methods. New York, Springer-Verlag, 1991.
3. E. V. Chizhonkov, On convergence of one algorithm for solving the Stokes problem. Vestnik of Moscow M. V. Lomonosov State University. Ser. 15, Vychis. Mat. Kibern. (1955) No. 2, 12-17 (in Russian).
4. E. V. Chizhonkov, On convergence of the Harrow-Hurwitz algorithm for an algebraic system of the Stokes type. Dokl. Ross. Akad. Nauk (1998) 361, No. 5, 1-3 (in Russian).
5. E. G. Dyakonov, Minimization of Computational Cost. Asymptotically Optimal Algorithms for Elliptic Problems. Nauka, Moscow, 1989 (in Russian).
6. G. M. Kobel'kov, On numerical methods of solving the Navier-Stokes equations in velocity-pressure variables. Computational processes and systems. Vychis. protsessy i sistemy. Nauka, Moscow, 1991, Vyp. 8, pp. 204-236 (in Russian).
7. G. M. Kobel'kov, On solving the Navier-Stokes equations at large Reynolds numbers. Russ. J. Numer. Anal. Math. Modelling (1995) 10, No. 1, 33-40.
8. A. A. Samarskii and E. S. Nikolaev, Methods of Solving Grid Equations. Nauka, Moscow, 1978 (in Russian).
9. D. M. Young, Iterative Solution of Large Linear Systems. New York, Academic Press, 1971.