@article{Woźniak_Łoś_Paszyński_Dalcin_Calo_2017, title={Parallel Fast Isogeometric Solvers for Explicit Dynamics}, volume={36}, url={https://www.cai.sk/ojs/index.php/cai/article/view/2017_2_423}, abstractNote={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.}, number={2}, journal={COMPUTING AND INFORMATICS}, author={Woźniak, Maciej and Łoś, Marcin and Paszyński, Maciej and Dalcin, Lisandro and Calo, Victor Manuel}, year={2017}, month={Jun.}, pages={423–448} }