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    Graph Grammar Based Multi-Frontal Solver for Isogeometric FEM Simulations On GPU

    Access Status
    Fulltext not available
    Authors
    Paszynski, M.
    Kuznik, K.
    Calo, Victor
    Pardo, D.
    Date
    2013
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Paszynski, M. and Kuznik, K. and Calo, V. and Pardo, D. 2013. Graph Grammar Based Multi-Frontal Solver for Isogeometric FEM Simulations On GPU. International Journal of Aerospace and Lightweight Structures (IJALS). 3 (2): pp. 277-290.
    Source Title
    International Journal of Aerospace and Lightweight Structures (IJALS)
    DOI
    10.3850/S2010428613000676
    ISSN
    2010-4286
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/58212
    Collection
    • Curtin Research Publications
    Abstract

    We present a multi-frontal direct solver for two dimensional isogeometric finite element method simulations with NVIDIA CUDA and perform numerical experiments for linear, quadratic and cubic B-splines. We compare the computational cost O(Np2) for 2D parallel shared memory implementation with the corresponding estimate O(N1.5p3) for a standard 2D sequential implementation. We conclude the presentation with observa- tion that computational cost of the shared memory direct solver scales like p2 when we increase the global continuity of the isogeometric solution, which is an adventage with respect to sequential isogeometric solver scalability of the order of p3.

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