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  • Engineering General  (6)
  • Convergence  (1)
  • Free Surface  (1)
  • 1
    Digitale Medien
    Digitale Medien
    The order of numercial quadrature in two dimensions (1979)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1085-1089 
    Details
    ISSN: 0029-5981
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik , Technik allgemein
    Notizen: In this paper the order of certain two-dimensional quadrature formulae is discussed and it is shown that their degree and order are not related in the same simple way as they are for one-dimensional rules.
    Zusätzliches Material: 4 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/nme.1620140712
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  • 2
    Digitale Medien
    Digitale Medien
    The free surface flow of Newtonian and non-Newtonian fluids trapped by surface tension (1988)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 8 (1988), S. 1011-1027 
    Details
    ISSN: 0271-2091
    Schlagwort(e): Free Surface ; Finite Element Method ; Surface Tension ; Newtonian and Non-Newtonian Fluids ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Maschinenbau
    Notizen: In this paper the position of the free surface of a swirling fluid held in by surface tension is calculated by the finite element method. A new locally mass-conserving quadratic velocity, linear pressure triangular element is used to overcome non-physical solutions produced by the well known Taylor-Hood element.
    Zusätzliches Material: 13 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/fld.1650080904
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  • 3
    Digitale Medien
    Digitale Medien
    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
    Schlagwort(e): Finite element techniques ; Incompressible flow ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Maschinenbau
    Notizen: 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.
    Zusätzliches Material: 8 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/fld.1650110307
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  • 4
    Digitale Medien
    Digitale Medien
    ITERATIVE SOLUTION OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS ON THE MEIKO COMPUTING SURFACE (1996)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 22 (1996), S. 225-240 
    Details
    ISSN: 0271-2091
    Schlagwort(e): domain decomposition ; line Gauss-Seidel ; conjugate gradient ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Maschinenbau
    Notizen: The numerical discretization of the equations governing fluid flow results in coupled, quasi-linear and non-symmetric systems. Various approaches exist for resolving the non-linearity and couplings. During each non-linear iteration, nominally linear systems are solved for each of the flow variables. Line relaxation techniques are traditionally employed for solving these systems. However, they could be very expensive for realistic applications and present serious synchronization problems in a distributed memory parallel environment. In this paper the discrete linear systems are solved using the generalized conjugate gradient method of Concus and Golub. The performance of this algorithm is compared with the line Gauss-Seidel algorithm for laminar recirculatory flow in uni- and multiprocessor environments. The uniprocessor performances of these algorithms are also compared with that of a popular iterative solver for non-symmetric systems (the GMRES algorithm).
    Zusätzliches Material: 8 Ill.
    Materialart: Digitale Medien
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  • 5
    Digitale Medien
    Digitale Medien
    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
    Schlagwort(e): Incompressible Flow ; Finite Element ; Stability ; Accuracy ; Convergence ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Maschinenbau
    Notizen: 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.
    Zusätzliches Material: 11 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/fld.1650061106
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  • 6
    Digitale Medien
    Digitale Medien
    Estimating the form of some three-dimensional singularities (1990)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 6 (1990), S. 333-341 
    Details
    ISSN: 0748-8025
    Schlagwort(e): Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik , Technik allgemein
    Notizen: The method of infinite grid refinement is used to estimate the analytic form of some point singularities in three-dimensional Laplacian and elasticity problems.
    Zusätzliches Material: 5 Ill.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1002/cnm.1630060502
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