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Volumn 98, Issue 4, 2004, Pages 647-673

Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem

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EID: 17744382165     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-004-0532-y     Document Type: Article
Times cited : (25)

References (12)
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    • Foias, C.1    Manley, O.2    Temam, R.3
  • 2
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    • On the convergence of a time discretization scheme for the Navier-Stokes equations
    • Geveci, T: On the convergence of a time discretization scheme for the Navier-Stokes equations. Math. Comp. 53, 43-53 (1989)
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    • Geveci, T.1
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    • On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest
    • Galdi, G. P., Heywood, J. G., Shibata, Y.: On the global existence and convergence to steady state of Navier-Stokes flow past an obstacle that is started from rest. Arch. Rational Mech. Anal. 138, 307-318 (1977)
    • (1977) Arch. Rational Mech. Anal. , vol.138 , pp. 307-318
    • Galdi, G.P.1    Heywood, J.G.2    Shibata, Y.3
  • 5
    • 0032364016 scopus 로고    scopus 로고
    • Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes Equations
    • He Yinnian, Li Kaitai: Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes Equations. Numerische Mathematik 79, 77-106 (1998)
    • (1998) Numerische Mathematik , vol.79 , pp. 77-106
    • He, Y.1    Li, K.2
  • 6
    • 84968486864 scopus 로고
    • An error estimate uniform in time for spectral Galerkin approximations of the Navier-Stokes problem
    • Heywood, J. G.: An error estimate uniform in time for spectral Galerkin approximations of the Navier-Stokes problem. Pacific Journal of Mathematics 98, 333-345 (1982)
    • (1982) Pacific Journal of Mathematics , vol.98 , pp. 333-345
    • Heywood, J.G.1
  • 7
    • 0000966077 scopus 로고
    • Finite element approximation of the nonstationary Navier-Stokes equations, I. Regularity of solutions and second-order error estimates for spatial discretization
    • Heywood, J. G., Rannacher, R.: Finite element approximation of the nonstationary Navier-Stokes equations, I. Regularity of solutions and second-order error estimates for spatial discretization. SIAM J. Numer. Anal. 19, 275-311 (1982)
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 275-311
    • Heywood, J.G.1    Rannacher, R.2
  • 8
    • 0022767064 scopus 로고
    • Finite element approximation of the nonstationary Navier-Stokes equations, II. Stability of solutions and error estimates uniform in time
    • Heywood, J. G., Rannacher, R.: Finite element approximation of the nonstationary Navier-Stokes equations, II. Stability of solutions and error estimates uniform in time. SIAM J. Numer. Anal. 23, 750-777 (1986)
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 750-777
    • Heywood, J.G.1    Rannacher, R.2
  • 9
    • 0025416424 scopus 로고
    • Finite element approximation of the nonstationary Navier-Stokes equations, IV. Error analysis for second-order time discretization
    • Heywood, J. G., Rannancher, R.: Finite element approximation of the nonstationary Navier-Stokes equations, IV. Error analysis for second-order time discretization. SIAM J. Numer. Anal. 27, 353-384 (1990)
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 353-384
    • Heywood, J.G.1    Rannancher, R.2
  • 10
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    • A regularity result for the Stokes problem in a convex polygon
    • Kellogg, R. B., Osborn J. E.: A regularity result for the Stokes problem in a convex polygon. J. Funct. Anal. 21 397-431
    • J. Funct. Anal. , vol.21 , pp. 397-431
    • Kellogg, R.B.1    Osborn, J.E.2
  • 11
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    • Long time stability and convergence for fully discrete nonlinear Galerkin methods
    • Shen, J.: Long time stability and convergence for fully discrete nonlinear Galerkin methods. Appl. Anal. 38, 201-229 (1990)
    • (1990) Appl. Anal. , vol.38 , pp. 201-229
    • Shen, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.