Close Search Advanced
Journals
Resources
About Us
Open Access

GPU-Accelerated LOBPCG Method with Inexact Null-Space Filtering for Solving Generalized Eigenvalue Problems in Computational Electromagnetics Analysis with Higher-Order FEM

GPU-Accelerated LOBPCG Method with Inexact Null-Space Filtering for Solving Generalized Eigenvalue Problems in Computational Electromagnetics Analysis with Higher-Order FEM
Preview
Add to basket

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.

Submit Article

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

Keywords:   

  1. 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]

  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]

  3. An augmented matched interface and boundary (MIB) method for solving elliptic interface problem

    Feng, Hongsong | Long, Guangqing | Zhao, Shan

    Journal of Computational and Applied Mathematics, Vol. 361 (2019), Iss. P.426

    https://doi.org/10.1016/j.cam.2019.05.004 [Citations: 22]

  4. A new patch up technique for elliptic partial differential equation with irregularities

    Singh, Swarn | Singh, Suruchi | Li, Zhilin

    Journal of Computational and Applied Mathematics, Vol. 407 (2022), Iss. P.113975

    https://doi.org/10.1016/j.cam.2021.113975 [Citations: 1]

  5. Numerical investigation of flow structure and air entrainment of breaking bow wave generated by a rectangular plate

    Hu, Yiding | Liu, Cheng | Hu, Changhong | Wan, Decheng

    Physics of Fluids, Vol. 33 (2021), Iss. 12

    https://doi.org/10.1063/5.0077348 [Citations: 26]

  6. 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, Changhong

    AIP Advances, Vol. 12 (2022), Iss. 8

    https://doi.org/10.1063/5.0098717 [Citations: 6]

  7. Numerical investigation of the plunging breaker under various wave slopes: Characteristics of spray droplets and air entrainment

    Hu, Yiding | Liu, Cheng | Yang, Xiaobin | Hu, Changhong

    Ocean Engineering, Vol. 303 (2024), Iss. P.117635

    https://doi.org/10.1016/j.oceaneng.2024.117635 [Citations: 3]

  8. 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, Liwei

    Journal of Computational Physics, Vol. 393 (2019), Iss. P.117

    https://doi.org/10.1016/j.jcp.2019.04.051 [Citations: 17]

  9. Numerical investigation of the interaction between an interface and a decaying Lamb–Oseen vortex

    Liu, Cheng | Hu, Yiding | Xing, Bo | Hu, Changhong

    Physics of Fluids, Vol. 36 (2024), Iss. 7

    https://doi.org/10.1063/5.0218087 [Citations: 0]

  10. High-fidelity simulation of an aerated cavity around a surface-piercing rectangular plate

    Hu, Yiding | Liu, Cheng | Zhao, Min | Hu, Changhong

    Physical Review Fluids, Vol. 8 (2023), Iss. 4

    https://doi.org/10.1103/PhysRevFluids.8.044003 [Citations: 8]

  11. Numerical study of bubble rise in plunging breaking waves

    Liu, Cheng | Hu, Yiding | Yang, Xiaobin | Hu, Changhong

    Physics of Fluids, Vol. 36 (2024), Iss. 5

    https://doi.org/10.1063/5.0206434 [Citations: 2]

  12. Robust treatment for the coarse/fine interface of adaptive mesh in the simulation of two-phase flow

    Liu, Cheng | Hu, Yiding | Gao, Ruoqing | Hu, Changhong

    Journal of Computational Physics, Vol. 520 (2025), Iss. P.113485

    https://doi.org/10.1016/j.jcp.2024.113485 [Citations: 0]

  13. Alternating direction ghost-fluid methods for solving the heat equation with interfaces

    Li, Chuan | Wei, Zhihan | Long, Guangqing | Campbell, Cameron | Ashlyn, Stacy | Zhao, Shan

    Computers & Mathematics with Applications, Vol. 80 (2020), Iss. 5 P.714

    https://doi.org/10.1016/j.camwa.2020.04.027 [Citations: 9]

  14. A FFT accelerated fourth order finite difference method for solving three-dimensional elliptic interface problems

    Ren, Yiming | Zhao, Shan

    Journal of Computational Physics, Vol. 477 (2023), Iss. P.111924

    https://doi.org/10.1016/j.jcp.2023.111924 [Citations: 5]

  15. 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]

  16. 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, Kun

    Journal of Scientific Computing, Vol. 93 (2022), Iss. 1

    https://doi.org/10.1007/s10915-022-01975-9 [Citations: 1]

  17. 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]

  18. A fourth order finite difference method for solving elliptic interface problems with the FFT acceleration

    Feng, Hongsong | Zhao, Shan

    Journal of Computational Physics, Vol. 419 (2020), Iss. P.109677

    https://doi.org/10.1016/j.jcp.2020.109677 [Citations: 19]