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  • Electronic Resource  (2)
  • 73 K 10  (1)
  • Engineering General  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Computational mechanics 6 (1990), S. 221-236 
    ISSN: 1432-0924
    Keywords: 65 N 30 ; 73 K 10 ; 73 K 25
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Summary Most of the existing convergence theory of mixed finite element methods for solving the plate bending problem converns the model case of a purely clamped or simply supported plate with sufficiently regular boundary. The extension of this analysis to more complicated situations encounters two major difficulties: first, the problem of verifying the stability of the schemes in the case of a partially free boundary and, second, the reduction of the solution's regularity in the presence of reentrant corners or changes in the type of the boundary conditions. In this paper these questions are studied for the approximation of the Kirchhoff plate model by one of the mixed finite element schemes due to L. R. Herrmann, the so-called “first Herrmann scheme”. It is shown that this method converges on any polygonal domain and for all usual boundary conditions. The proof is based on the fact that this particular mixed scheme is algebraically equivalent to a nonconforming displacement method.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 22 (1996), S. 325-352 
    ISSN: 0271-2091
    Keywords: Navier-Stokes equations ; artificial boundary conditions ; flux and pressure conditions ; finite elements ; 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: Fluid dynamical problems are often conceptualized in unbounded domains. However, most methods of numerical simulation then require a truncation of the conceptual domain to a bounded one, thereby introducing artificial boundaries. Here we analyse our experience in choosing artificial boundary conditions implicitly through the choice of variational formulations. We deal particularly with a class of problems that involve the prescription of pressure drops and/or net flux conditions.
    Additional Material: 19 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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