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  • Articles  (2)
  • 65N30
  • 2000-2004  (2)
  • Mathematics  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Error analysis of upwind‐discretizations for the steady‐state incompressible Navier–Stokes equations (2000)
    Springer
    Advances in computational mathematics 13 (2000), S. 167-198 
    Details
    ISSN: 1572-9044
    Keywords: 65N15 ; 65N30 ; 76D05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Within the framework of finite element methods, the paper investigates a general approximation technique for the nonlinear convective term of the Navier–Stokes equations. The approach is based on an upwind method of finite volume type. It is proved that the discrete convective term satisfies a well‐known collection of sufficient conditions for convergence of the finite element solution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018902210295
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  • 2
    Electronic Resource
    Electronic Resource
    Modified Mini finite element for the Stokes problem in ℝ2 or ℝ3 (2000)
    Springer
    Advances in computational mathematics 12 (2000), S. 261-272 
    Details
    ISSN: 1572-9044
    Keywords: Mini element ; mixed finite element method ; Stokes problem ; 65N15 ; 65N30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We analyze a modified version of the Mini finite element (or the Mini* finite element) for the Stokes problem in ℝ2 or ℝ3. The cross‐grid element of order one in ℝ3 is also analyzed. The stability is verified with the aid of the macroelement technique introduced by Stenberg. Each of these methods converges with first order in h as the Mini element does. Numerical tests are given for the Mini* element in comparison with the Mini element when Ω is a unit square on ℝ2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018973303935
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    Paper (German National Licenses)
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