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    Graph grammar based parallel direct solver for 1D and 2D isogeometric finite element method

    Access Status
    Fulltext not available
    Authors
    Paszynski, M.
    Kuznik, K.
    Calo, Victor
    Date
    2012
    Type
    Conference Paper
    
    Metadata
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    Citation
    Paszynski, M. and Kuznik, K. and Calo, V. 2012. Graph grammar based parallel direct solver for 1D and 2D isogeometric finite element method, in European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), pp. 849-858.
    Source Title
    European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)
    ISBN
    9783950353709
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/51421
    Collection
    • Curtin Research Publications
    Abstract

    In this paper we present a multi-frontal direct solver algorithm for one and two dimensional isogeometric finite element method. The solver algorithm is tested on heat transfer model problem. The algorithm is partitioned into basic undividable tasks calling graph grammar productions, responsible for generation of the merging and elimination pattern, as well as processing multiple frontal matrices during the computation process. The productions are scheduled into nodes of the GPU graphic card and executed in concurrent. The paper is concluded with numerical results concerning the execution of the solver algorithm on GeForce GTX 260 device in one dimension, delivering O(logN) execution time for linear, quadratic, cubic and higher order B-splines, as well as on NVidia Tesla C2070 device in two dimension, delivering O(NlogN) computational cost for linear, quadratic and cubic B-splines.

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