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  • 1
    Electronic Resource
    Electronic Resource
    The effect of the stability of mixed finite element approximations on the accuracy and rate of convergence of solution when solving incompressible flow problems (1986)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 6 (1986), S. 841-853 
    Details
    ISSN: 0271-2091
    Keywords: Incompressible Flow ; Finite Element ; Stability ; Accuracy ; Convergence ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The stability of two different mixed finite element methods for incompressible flow problems are theoretically analysed. The effect of the stability of the mixed approximation on the accuracy and the rate of convergence of solution is assessed for two non-trivial problems. The numerical results presented indicate that if the stability of the mixed approximation is not guaranteed then both pressure and velocity solutions are markedly less accurate. In one of the cases considered the ultimate convergence of both the pressure and the velocity solutions is seriously in doubt.
    Additional Material: 11 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650061106
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Locally mass-conserving Taylor-Hood elements for two- and three-dimensional flow (1990)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 11 (1990), S. 341-353 
    Details
    ISSN: 0271-2091
    Keywords: Finite element techniques ; Incompressible flow ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: By supplementing the pressure space for Taylor-Hood elements, elements that satisfy continuity locally are produced. These elements are shown to satisfy the Babuska-Brezzi compatibility condition by using the patch argument.Two examples are presented, one illustrating the convergence rates and the other illustrating a difficulty with a Taylor-Hood element that is overcome by the element presented here.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650110307
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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