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  • AMS(MOS): 65N30  (1)
  • AMS(MOS): 65N30: 65N35  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Spectral approximation of the periodic-nonperiodic Navier-Stokes equations (1987)
    Springer
    Numerische Mathematik 51 (1987), S. 655-700 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65N30: 65N35 ; CR:G1.8
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary In order to approximate the Navier-Stokes equations with periodic boundary conditions in two directions and a no-slip boundary condition in the third direction by spectral methods, we justify by theoretical arguments an appropriate choice of discrete spaces for the velocity and the pressure. The compatibility between these two spaces is checked via an infsup condition. We analyze a spectral and a collocation pseudo-spectral method for the Stokes problem and a collocation pseudo-spectral method for the Navier-Stokes equations. We derive error bounds of spectral type, i.e. which behave likeM −σ whereM depends on the number of degrees of freedom of the method and σ represents the regularity of the data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01400175
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Combined finite element and spectral approximation of the Navier-Stokes equations (1984)
    Springer
    Numerische Mathematik 44 (1984), S. 201-217 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65N30 ; CR: 5.17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Description / Table of Contents: Resumé On présente une méthode d'approximation numérique des équations de Navier-Stokes possédant une direction de périodicité. Dans cette direction une méthode pseudospectrale basée sur des développements en série de Fourier est utilisée, dans les deux autres on applique une méthode d'éléments finis standard. On montre que la convergence est optimale et que les deux paramètres de discrétisation peuvent être choisis de façon indépendante.
    Notes: Summary We present a method for the numerical approximation of Navier-Stokes equations with one direction of periodicity. In this direction a Fourier pseudospectral method is used, in the two others a standard F.E.M. is applied. We prove optimal rate of convergence where the two parameters of discretization intervene independently.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01410105
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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