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  • 1
    Electronic Resource
    Electronic Resource
    Theoretical formulations for adaptive finite element computations (1995)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 11 (1995), S. 857-868 
    Details
    ISSN: 1069-8299
    Keywords: adaptive analysis ; error estimate ; mesh refinement ; finite elements ; plate bending ; computations ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new mesh refinement formulation for h-adaptive solutions of linear elliptic problems is presented. The reliability of the methods employed for estimating errors and the convergence rate of the errors during an adaptive process are investigated by means of an asymptotic analysis method. The present adaptive mesh refinement strategy significantly improves adaptivity performance and has higher error convergence rates than those usually used. Numerical examples are shown to illustrate the efficiency of the method shown.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1640111010
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The h-p-version of the finite-element method in the plate modelling problem (1992)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 8 (1992), S. 17-26 
    Details
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper addresses the problem of plate modelling within the framework of the h-p-version of the finite-element method. A natural hierarchy of models is constructed. The lowest member of the hierarchy is the well-known Reissner-Mindlin model. It is shown that higher degree elements do not show any locking effects for the models under consideration.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1630080104
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Accuracy of some plate models for clamped-in boundary conditions (1992)
    New York, NY [u.a.] : Wiley-Blackwell
    Communications in Applied Numerical Methods 8 (1992), S. 211-217 
    Details
    ISSN: 0748-8025
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper shows that the well-known Reissner-Mindlin plate model for the clamped-in boundary condition does not capture the boundary layer behaviour for the bending moments. This boundary layer is present in 3-D formulation. In contrast the proposed (1,1,2) model shows this boundary layer. The strength of the boundary layer for the (1,1,2) model is analysed.
    Additional Material: 5 Tab.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1630080402
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    Paper (German National Licenses)
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