GPU-Accelerated LOBPCG Method with Inexact Null-Space Filtering for Solving Generalized Eigenvalue Problems in Computational Electromagnetics Analysis with Higher-Order FEM
Year: 2017
Communications in Computational Physics, Vol. 22 (2017), Iss. 4 : pp. 997–1014
Abstract
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2016-0155
Communications in Computational Physics, Vol. 22 (2017), Iss. 4 : pp. 997–1014
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
-
GFMxP: A novel Ghost Fluid Method to solve the variable coefficient Poisson equation
Ianniello, Sandro
International Journal of Multiphase Flow, Vol. 170 (2024), Iss. P.104634
https://doi.org/10.1016/j.ijmultiphaseflow.2023.104634 [Citations: 2] -
The GFMxP and the basic extrapolation of the ghost values to solve the Poisson equation for discontinuous functions
Ianniello, Sandro
International Journal of Multiphase Flow, Vol. 181 (2024), Iss. P.104997
https://doi.org/10.1016/j.ijmultiphaseflow.2024.104997 [Citations: 0] -
An augmented matched interface and boundary (MIB) method for solving elliptic interface problem
Feng, Hongsong | Long, Guangqing | Zhao, ShanJournal of Computational and Applied Mathematics, Vol. 361 (2019), Iss. P.426
https://doi.org/10.1016/j.cam.2019.05.004 [Citations: 22] -
A new patch up technique for elliptic partial differential equation with irregularities
Singh, Swarn | Singh, Suruchi | Li, ZhilinJournal of Computational and Applied Mathematics, Vol. 407 (2022), Iss. P.113975
https://doi.org/10.1016/j.cam.2021.113975 [Citations: 1] -
Numerical investigation of flow structure and air entrainment of breaking bow wave generated by a rectangular plate
Hu, Yiding | Liu, Cheng | Hu, Changhong | Wan, DechengPhysics of Fluids, Vol. 33 (2021), Iss. 12
https://doi.org/10.1063/5.0077348 [Citations: 26] -
An approximated volume of fluid method with the modified height function method in the simulation of surface tension driven flows
Liu, Cheng | Gao, Ruoqing | Hu, ChanghongAIP Advances, Vol. 12 (2022), Iss. 8
https://doi.org/10.1063/5.0098717 [Citations: 6] -
Numerical investigation of the plunging breaker under various wave slopes: Characteristics of spray droplets and air entrainment
Hu, Yiding | Liu, Cheng | Yang, Xiaobin | Hu, ChanghongOcean Engineering, Vol. 303 (2024), Iss. P.117635
https://doi.org/10.1016/j.oceaneng.2024.117635 [Citations: 3] -
A Petrov-Galerkin finite element interface method for interface problems with Bloch-periodic boundary conditions and its application in phononic crystals
Wang, Liqun | Zheng, Hui | Lu, Xin | Shi, LiweiJournal of Computational Physics, Vol. 393 (2019), Iss. P.117
https://doi.org/10.1016/j.jcp.2019.04.051 [Citations: 17] -
Numerical investigation of the interaction between an interface and a decaying Lamb–Oseen vortex
Liu, Cheng | Hu, Yiding | Xing, Bo | Hu, ChanghongPhysics of Fluids, Vol. 36 (2024), Iss. 7
https://doi.org/10.1063/5.0218087 [Citations: 0] -
High-fidelity simulation of an aerated cavity around a surface-piercing rectangular plate
Hu, Yiding | Liu, Cheng | Zhao, Min | Hu, ChanghongPhysical Review Fluids, Vol. 8 (2023), Iss. 4
https://doi.org/10.1103/PhysRevFluids.8.044003 [Citations: 8] -
Numerical study of bubble rise in plunging breaking waves
Liu, Cheng | Hu, Yiding | Yang, Xiaobin | Hu, ChanghongPhysics of Fluids, Vol. 36 (2024), Iss. 5
https://doi.org/10.1063/5.0206434 [Citations: 2] -
Robust treatment for the coarse/fine interface of adaptive mesh in the simulation of two-phase flow
Liu, Cheng | Hu, Yiding | Gao, Ruoqing | Hu, ChanghongJournal of Computational Physics, Vol. 520 (2025), Iss. P.113485
https://doi.org/10.1016/j.jcp.2024.113485 [Citations: 0] -
Alternating direction ghost-fluid methods for solving the heat equation with interfaces
Li, Chuan | Wei, Zhihan | Long, Guangqing | Campbell, Cameron | Ashlyn, Stacy | Zhao, ShanComputers & Mathematics with Applications, Vol. 80 (2020), Iss. 5 P.714
https://doi.org/10.1016/j.camwa.2020.04.027 [Citations: 9] -
A FFT accelerated fourth order finite difference method for solving three-dimensional elliptic interface problems
Ren, Yiming | Zhao, ShanJournal of Computational Physics, Vol. 477 (2023), Iss. P.111924
https://doi.org/10.1016/j.jcp.2023.111924 [Citations: 5] -
Application of discrete mechanics model to jump conditions in two-phase flows
Caltagirone, Jean-Paul
Journal of Computational Physics, Vol. 432 (2021), Iss. P.110151
https://doi.org/10.1016/j.jcp.2021.110151 [Citations: 9] -
A Second-order Modified Ghost Fluid Method (2nd-MGFM) with Discontinuous Galerkin Method for 1-D compressible Multi-medium Problem with Cylindrical and Spherical Symmetry
Zhang, Xiaotao | Liu, Tiegang | Yu, Changsheng | Feng, Chengliang | Zeng, Zhiqiang | Wang, KunJournal of Scientific Computing, Vol. 93 (2022), Iss. 1
https://doi.org/10.1007/s10915-022-01975-9 [Citations: 1] -
On the boundary conditions for GFMxP high-order schemes on staggered grids in the simulation of incompressible multiphase flows
Ianniello, Sandro
International Journal of Multiphase Flow, Vol. 181 (2024), Iss. P.105005
https://doi.org/10.1016/j.ijmultiphaseflow.2024.105005 [Citations: 0] -
A fourth order finite difference method for solving elliptic interface problems with the FFT acceleration
Feng, Hongsong | Zhao, ShanJournal of Computational Physics, Vol. 419 (2020), Iss. P.109677
https://doi.org/10.1016/j.jcp.2020.109677 [Citations: 19]