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    A three-level BDDC algorithm for mortar discretizations

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    TuXuemin_SIAMNA_47(2)1576.pdf (521.3Kb)
    Issue Date
    2009-03-05
    Author
    Kim, Hyea Hyun
    Tu, Xuemin
    Publisher
    Society for Industrial and Applied Mathematics
    Type
    Article
    Article Version
    Scholarly/refereed, publisher version
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    Abstract
    In this paper, a three-level balancing domain decomposition by constraints (BDDC) algorithm is developed for the solutions of large sparse algebraic linear systems arising from the mortar discretization of elliptic boundary value problems. The mortar discretization is considered on geometrically nonconforming subdomain partitions. In two-level BDDC algorithms, the coarse problem needs to be solved exactly. However, its size will increase with the increase of the number of the subdomains. To overcome this limitation, the three-level algorithm solves the coarse problem inexactly while a good rate of convergence is maintained. This is an extension of previous work: the three-level BDDC algorithms for standard finite element discretization. Estimates of the condition numbers are provided for the three-level BDDC method, and numerical experiments are also discussed.
    Description
    This is the published version, also available here: http://dx.doi.org/10.1137/07069081X.
    URI
    http://hdl.handle.net/1808/17241
    DOI
    https://doi.org/10.1137/07069081X
    Collections
    • Mathematics Scholarly Works [247]
    Citation
    Tu, Xuemin & Kim, Hyea Hyun. "A Three-Level BDDC Algorithm for Mortar Discretizations." SIAM J. Numer. Anal., 47(2), 1576–1600. (25 pages). (2009) http://dx.doi.org/10.1137/07069081X

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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