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    Computational cost estimates for parallel shared memory isogeometric multi-frontal solvers

    Access Status
    Fulltext not available
    Authors
    Wozniak, M.
    Kuznik, K.
    Paszynski, M.
    Calo, Victor
    Pardo, D.
    Date
    2014
    Type
    Journal Article
    
    Metadata
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    Citation
    Wozniak, M. and Kuznik, K. and Paszynski, M. and Calo, V. and Pardo, D. 2014. Computational cost estimates for parallel shared memory isogeometric multi-frontal solvers. Computers and Mathematics with Applications. 67 (10): pp. 1864-1883.
    Source Title
    Computers and Mathematics with Applications
    DOI
    10.1016/j.camwa.2014.03.017
    ISSN
    0898-1221
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/51576
    Collection
    • Curtin Research Publications
    Abstract

    In this paper we present computational cost estimates for parallel shared memory isogeometric multi-frontal solvers. The estimates show that the ideal isogeometric shared memory parallel direct solver scales as O( p2log(N/p)) for one dimensional problems, O(Np2) for two dimensional problems, and O(N4/3p2) for three dimensional problems, where N is the number of degrees of freedom, and p is the polynomial order of approximation. The computational costs of the shared memory parallel isogeometric direct solver are compared with those corresponding to the sequential isogeometric direct solver, being the latest equal to O(N p2) for the one dimensional case, O(N1.5p3) for the two dimensional case, and O(N2p3) for the three dimensional case. The shared memory version significantly reduces both the scalability in terms of N and p. Theoretical estimates are compared with numerical experiments performed with linear, quadratic, cubic, quartic, and quintic B-splines, in one and two spatial dimensions. © 2014 Elsevier Ltd. All rights reserved.

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