GPU-Accelerated LOBPCG Method with Inexact Null-Space Filtering for Solving Generalized Eigenvalue Problems in Computational Electromagnetics Analysis with Higher-Order FEM. (28th July 2017)

• Record Type: Journal Article
• Authors: Dziekonski, A.; Rewienski, M.; Sypek, P.; Lamecki, A.; Mrozowski, M.
• Is Part Of: Communications in computational physics. Volume 22:Number 4(2017:Oct.)
• Page Start: 997
• Page End: 1014
• Publication Date: 2017-07-28
• Subjects: 65N25, -- 68W10, -- 65Y05, -- 65F08, -- 65F10, -- 74S05; LOBPCG, -- inexact nullspace filtering, -- multilevel preconditioning, -- FEM, -- GPU, -- parallel computing; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0168
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: This paper presents a GPU-accelerated implementation of the Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) method with an inexact nullspace 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 nullspace filtering allowed us to achieve up to 2.9-fold acceleration.