TY - JOUR
T1 - GPU-Accelerated LOBPCG Method with Inexact Null-Space Filtering for Solving Generalized Eigenvalue Problems in Computational Electromagnetics Analysis with Higher-Order FEM
AU - A. Dziekonski, M. Rewienski, P. Sypek, A. Lamecki & M. Mrozowski
JO - Communications in Computational Physics
VL - 4
SP - 997
EP - 1014
PY - 2017
DA - 2017/10
SN - 22
DO - http://doi.org/10.4208/cicp.OA-2016-0155
UR - https://global-sci.org/intro/article_detail/cicp/9990.html
KW - 
AB - <p style="text-align: justify;">This paper presents a GPU-accelerated implementation of the Locally Optimal
Block Preconditioned Conjugate Gradient (LOBPCG) method with an inexact
null-space filtering approach to find eigenvalues in electromagnetics analysis with higher-order
FEM. The performance of the proposed approach is verified using the Kepler
(Tesla K40c) graphics accelerator, and is compared to the performance of the implementation
based on functions from the Intel MKL on the Intel Xeon (E5-2680 v3, 12
threads) central processing unit (CPU) executed in parallel mode. Compared to the
CPU reference implementation based on the Intel MKL functions, the proposed GPU-based
LOBPCG method with inexact null-space filtering allowed us to achieve up to
2.9-fold acceleration.</p>