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Graph grammar based multi-frontal direct solver for isogeometric FEM simulations on GPU

M. Paszynski, K. Kuznik, V.M. Calo, D. Pardo
AGH University of Science and Technology, Krakow, Poland
5th Asia Pacific Congress on Computational Mechanics and 4th International Symposium on Computational Mechanics, 2013

@article{paszynski2013graph,

   title={Graph grammar based multi-frontal direct solver for isogeometric FEM simulations on GPU},

   author={Paszynski, M. and Kuznik, K. and Calo, V.M. and Pardo, D.},

   year={2013}

}

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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(Np^2) for 2D parallel shared memory implementation with the corresponding estimate O(N^1.5p^3) for a standard 2D sequential implementation. We conclude the presentation with observation that computational cost of the shared memory direct solver scales like p^2 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 p^3.
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