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  • 1
    Electronic Resource
    Electronic Resource
    Semi-coarsening AMLI algorithms for elasticity problems (1998)
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Linear Algebra with Applications 5 (1998), S. 347-362 
    Details
    ISSN: 1070-5325
    Keywords: almost incompressible elasticity ; finite elements ; semi-coarsening refinement ; algebraic multilevel ; Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: The constant γ in the strengthened Cauchy-Buniakowski-Schwarc (CBS) inequality plays a key role in the convergence analysis of the multilevel iterative methods. We consider in this paper the approximation of the two-dimensional elasticity problem by bilinear rectangle finite elements. Two semi-coarsening refinement procedures are studied. We prove for both cases new estimates of the constant γ, uniformly on the Poisson ratio.As a result of the presented analysis we obtain an optimal order algebraic multiLevel iteration (AMLI) method for the case of balanced semi-coarsening mesh refinement. The total computational complexity of the algorithm is proportional to the size of the discrete problem with a proportionality constant independent of the Poisson ratio, that is, the algorithm is of optimal order for almost incompressible elasticity problems. Copyright © 1999 John Wiley & Sons, Ltd.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
  • 2
    Book
    Book
    Iterative methods in linear algebra II. Proceedings of the 2nd IMACS international symposium on iterative methods in linear algebra, Blagoevgrad, Bulgaria, June 17-20, 1995; 3 (1996)
    Piscataway, NJ :IMACS,
    Details
    Title: Iterative methods in linear algebra II. Proceedings of the 2nd IMACS international symposium on iterative methods in linear algebra, Blagoevgrad, Bulgaria, June 17-20, 1995; 3
    Contributer: Margenov, Svetozar D. , Vassilevski, Panayot S. , International Association for Mathematics & Computers in Simulation
    Publisher: Piscataway, NJ :IMACS,
    Year of publication: 1996
    Pages: 493 S.
    Series Statement: IMACS series in computational and applied mathematics 3
    Type of Medium: Book
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    ZIB Catalog
    Zuse Institute Berlin get availability status
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