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    Adaptive selection of face coarse degrees of freedom in the BDDC and the FETI-DP iterative substructuring methods

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    https://www.sciencedirect.com/science/article/abs/pii/S0045782506002593?via%3Dihub#!
    Permanent Link
    https://doi.org/10.1016/j.cma.2006.03.010
    http://hdl.handle.net/11603/23167
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    • UMBC Mathematics and Statistics Department
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    Author/Creator
    Mandel, Jan
    Sousedík, Bedřich
    Author/Creator ORCID
    https://orcid.org/0000-0002-8053-8956
    Date
    2006-10-24
    Type of Work
    25 pages
    Text
    journal articles
    preprints
    Citation of Original Publication
    Mandel, Jan; Sousedík, Bedřich; Adaptive selection of face coarse degrees of freedom in the BDDC and the FETI-DP iterative substructuring methods; Computer Methods in Applied Mechanics and Engineering, Volume 196, Issue 8, Pages 1389-1399, 24 October, 2006; https://doi.org/10.1016/j.cma.2006.03.010
    Rights
    This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
    Abstract
    We propose a class of methods for the adaptive selection of the coarse space of the BDDC and FETI-DP iterative substructuring methods. The methods work by adding coarse degrees of freedom constructed from eigenvectors associated with intersections of selected pairs of adjacent substructures. It is assumed that the starting coarse degrees of freedom are already sufficient to prevent relative rigid body motions in any selected pair of adjacent substructures. A heuristic indicator of the the condition number is developed and a minimal number of coarse degrees of freedom is added to decrease the indicator under a given threshold. It is shown numerically on 2D elasticity problems that the indicator based on pairs of substructures with common edges predicts the actual condition number reasonably well, and that the method can select adaptively the hard part of the problem and concentrate computational work there to achieve good convergence of the iterations at a modest cost.


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    Albin O. Kuhn Library & Gallery
    University of Maryland, Baltimore County
    1000 Hilltop Circle
    Baltimore, MD 21250
    www.umbc.edu/scholarworks

    Contact information:
    Email: scholarworks-group@umbc.edu
    Phone: 410-455-3544


    If you wish to submit a copyright complaint or withdrawal request, please email mdsoar-help@umd.edu.