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  • 1
    Electronic Resource
    Electronic Resource
    Finite element asymptotic analysis of slender elastic structures: A simple approach (1992)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 35 (1992), S. 1397-1426 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: An asymptotic method directly derived from Koiter's theory and suitable for the solution of elastic buckling problems and its natural adaptation to a numerical solution by means of a finite element technique are presented here. The order of the extrapolation of the equilibrium equations has been intentionally kept very low because attention has been entirely devoted to all those features (theoretical definitions, eigenproblem numerical techniques, suitable FEM implementation) which make such an approach competitive with respect to the classic step-by-step methods. For plane frames and 3D pin-jointed trusses, the performances of the algorithm (numerical accuracy and computational cost) are compared with those of Riks' are-length method.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620350703
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    ALGORITHMIC ASPECTS OF ADAPTIVE MULTIGRID FINITE ELEMENT ANALYSIS (1997)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 40 (1997), S. 919-936 
    Details
    ISSN: 0029-5981
    Keywords: multigrid solution ; adaptive refinement ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper describes the algorithmic aspects of a multigrid solver based on the adaptive generation of a sequence of discretizing meshes. Non-uniform discretization is obtained by confining finer meshes to progressively smaller subdomains. New meshes are generated through bisection refinement according to a local error indicator. A dynamic data structure, suitable for C-language implementations, and a technique for irregular nodes, which simplifies the treatment of interfaces between different refinement subdomains, are described. Several numerical examples using bilinear and HC finite elements are presented at the end. © 1997 by John Wiley & Sons, Ltd.
    Additional Material: 12 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
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