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    Parallel Fast Isogeometric Solvers for Explicit Dynamics

    Access Status
    Fulltext not available
    Authors
    Wozniak, M.
    Los, M.
    Paszynski, M.
    Dalcin, L.
    Calo, Victor
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Wozniak, M. and Los, M. and Paszynski, M. and Dalcin, L. and Calo, V. 2017. Parallel Fast Isogeometric Solvers for Explicit Dynamics. Computing and Informatics. 36 (2): pp. 423-448.
    Source Title
    Computing and Informatics
    DOI
    10.4149/cai_2017_2_423
    Additional URLs
    http://www.cai.sk/ojs/index.php/cai/article/view/2017_2_423
    ISSN
    1335-9150
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/58428
    Collection
    • Curtin Research Publications
    Abstract

    This paper presents a parallel implementation of the fast isogeometric solvers for explicit dynamics for solving non-stationary time-dependent problems. The algorithm is described in pseudo-code. We present theoretical estimates of the computational and communication complexities for a single time step of the parallel algorithm. The computational complexity is O(p^6 N/c t_comp) and communication complexity is O(N/(c^(2/3)t_comm) where p denotes the polynomial order of B-spline basis with Cp-1 global continuity, N denotes the number of elements and c is number of processors forming a cube, t_comp refers to the execution time of a single operation, and t_comm refers to the time of sending a single datum. We compare theoretical estimates with numerical experiments performed on the LONESTAR Linux cluster from Texas Advanced Computing Center, using 1 000 processors. We apply the method to solve nonlinear flows in highly heterogeneous porous media.

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