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All issues Volume 26 / No 6 (1992) ESAIM: M2AN, 26 6 (1992) 673-708 References
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Issue
ESAIM: M2AN
Volume 26, Number 6, 1992
Page(s) 673 - 708
DOI https://doi.org/10.1051/m2an/1992260606731
Published online 31 January 2017
  1. A. J. CHORIN, Numerical solution of Navier-Stokes equations Math. Comp., 22 (1968), 745-762. [MR: 242392] [Zbl: 0198.50103] [Google Scholar]
  2. [2]C. CUVELIER, A. SEGAL, A. A. VAN STEENHOVEN, Finite element methods and Navier-Stokes equations, D. Reidel Publishing Company, 1986. [MR: 850259] [Zbl: 0649.65059] [Google Scholar]
  3. J. DOUGLAS and H. RACHFORD, On the numencal solution of the heat conduction problem in two and three space variables, Trans. Amer. Math. Soc., 82 2 (1956), 421-439. [MR: 84194] [Zbl: 0070.35401] [Google Scholar]
  4. G. GiRAULT and P.-A. RAVIART, Finite element methods for Navier-Stokes equations, Theory and algorithms, Springer-Verlag, Berlin, 1986. [MR: 540128] [Zbl: 0585.65077] [Google Scholar]
  5. A. R. GOURLAY, Splitting-up methods for time dependent partial differential equations, in The state of the art in numerical analysis (proc. Conf. Univ. York, Heslington, 1976), Academic Press, London, 1977, pp. 757-796. [MR: 451759] [Google Scholar]
  6. J. G. HEYWOOD and R. RANNACHER, Finite element approximation of the nonstationary Navier Stokes problem : I. Regularity of the solution and second-order error estimates for the spatial discretization, SIAM J. Numer. Anal., 19 (1982), 275-311. [MR: 650052] [Zbl: 0487.76035] [Google Scholar]
  7. M. KŘIŽEK and P. NEITTAANMÄKI, Finite element approximation to variational problems with applications, Pitman Monographs in Pure and Applied Mathematics 50, Longman, 1990. [MR: 1066462] [Zbl: 0708.65106] [Google Scholar]
  8. O. A. LADYZHENSKAYA, The mathematical theory of viscous incompressible flow, Gordon and Breach, New York, Second Edition, 1969. [MR: 254401] [Zbl: 0184.52603] [Google Scholar]
  9. O. A. LADYZHENSKAYA and V. I. RIVKIND, On the alternating method for the computation of a viscous incompressible fluid flow in cylindrical coordinates, Izv. Akad. Nauk, 35 (1971), 251-268. [Zbl: 0222.76024] [Google Scholar]
  10. J. L. LIONS and R. TEMAM, Éclatement et décentralisation en calcul des variations, in « Proc. of Symposium on Optimization », Lecture Notes in Mathematics, Vol. 132, Springer Verlag, 1970, pp. 196-217. [MR: 467468] [Zbl: 0223.49033] [Google Scholar]
  11. T. LU, P. NEITTAANMÄKI and X.-C. TAI, A parallel spliting-up method and its application to Naver-Stokes equations, Appl. Math. Lett., 4 (1989). 25-29. [MR: 1095644] [Zbl: 0718.65066] [Google Scholar]
  12. G. I. MARCHUK, Methods of numerical mathematics, Springer-Verlag, 1982. [MR: 661258] [Zbl: 0485.65003] [Google Scholar]
  13. D. W. PEACEMAN and H. H. RACHFORD, The numerical solution of parabolic and elliptic differential equations, SIAM, 3 (1955), 28-42. [MR: 71874] [Zbl: 0067.35801] [Google Scholar]
  14. J. SHEN, On error estimates of projection methods for Navier-Stokes equations : First order schemes, To appear in SIAM J. Numer. Anal. [MR: 1149084] [Zbl: 0741.76051] [Google Scholar]
  15. X. C. TAI and P. NEITTAANMÄKI, A parallel finite element splitting up method for parabolic problems, Numerical methods for partial differential equations, 7 (1991), 209-225. [MR: 1122113] [Zbl: 0747.65084] [Google Scholar]
  16. R. TEMAM Sur l'approximation de la solution des équations de Navier-Stokes par la méthode de pas fractionnaires (I), Arch. Rational Mech. Anal., 32 (1969), 135-153. [MR: 237973] [Zbl: 0195.46001] [Google Scholar]
  17. R. TEMAM, Numerical analysis, D. Reidel Publishing Company, Dordrecht, North-Holland, 1973. [MR: 347099] [Zbl: 0261.65001] [Google Scholar]
  18. R. TEMAM Navier-Stokes equations, North-Holland, 1977. [MR: 609732] [Zbl: 0383.35057] [Google Scholar]
  19. N. N. YANENKO, The method of fractional steps for solving multi-dimensional problems of mathematical physics, Novosibirsk, Nauka, 1967. [Zbl: 0209.47103] [Google Scholar]
  20. L. YING, Viscosity splitting method for three dimensional Navier-Stokes equations, Acta Math. Sinica New Series, No. 3, 4 (1988), 210-226. [MR: 965569] [Zbl: 0673.35085] [Google Scholar]

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