Parallel Fast Isogeometric Solvers for Explicit Dynamics
Maciej Woźniak; AGH University of Science and Technology, Krakow ; Marcin Łoś; AGH University of Science and Technology, Krakow ; Maciej Paszyński; AGH University of Science and Technology, Krakow ; Lisandro Dalcin; King Abdullah University of Science and Technology, Thuwal ; Victor Manuel Calo; Applied Geology, Western Australian School of Mines, Faculty of Science and Engineering, Curtin University, Perth, WA, Australia & King Abdullah University of Science and Technology
Computing and Informatics, Tome 35 (2017) no. 4, / Harvested from
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.
Publié le : 2017-06-12
@article{cai2017_2_423,
     author = {Maciej Wo\'zniak; AGH University of Science and Technology, Krakow and Marcin \L o\'s; AGH University of Science and Technology, Krakow and Maciej Paszy\'nski; AGH University of Science and Technology, Krakow and Lisandro Dalcin; King Abdullah University of Science and Technology, Thuwal and Victor Manuel Calo; Applied Geology, Western Australian School of Mines, Faculty of Science and Engineering, Curtin University, Perth, WA, Australia \& King Abdullah University of Science and Technology},
     title = {Parallel Fast Isogeometric Solvers for Explicit Dynamics},
     journal = {Computing and Informatics},
     volume = {35},
     number = {4},
     year = {2017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/cai2017_2_423}
}

Maciej Woźniak; AGH University of Science and Technology, Krakow; Marcin Łoś; AGH University of Science and Technology, Krakow; Maciej Paszyński; AGH University of Science and Technology, Krakow; Lisandro Dalcin; King Abdullah University of Science and Technology, Thuwal; Victor Manuel Calo; Applied Geology, Western Australian School of Mines, Faculty of Science and Engineering, Curtin University, Perth, WA, Australia & King Abdullah University of Science and Technology. Parallel Fast Isogeometric Solvers for Explicit Dynamics. Computing and Informatics, Tome 35 (2017) no. 4, . http://gdmltest.u-ga.fr/item/cai2017_2_423/