Techno Press
You logged in as Techno Press

Computers and Concrete
  Volume 29, Number 2, February 2022 , pages 93-105
DOI: https://doi.org/10.12989/cac.2022.29.2.093
 


AMG-CG method for numerical analysis of high-rise structures on heterogeneous platforms with GPUs
Zuohua Li, Qingfei Shan, Jiafei Ning, Yu Li, Kaisheng Guo and Jun Teng

 
Abstract
    The degrees of freedom (DOFs) of high-rise structures increase rapidly due to the need for refined analysis, which poses a challenge toward a computationally efficient method for numerical analysis of high-rise structures using the finite element method (FEM). This paper presented an efficient iterative method, an algebraic multigrid (AMG) with a Jacobi overrelaxation smoother preconditioned conjugate gradient method (AMG-CG) used for solving large-scale structural system equations running on heterogeneous platforms with parallel accelerator graphics processing units (GPUs) enabled. Furthermore, an AMG-CG FEM application framework was established for the numerical analysis of high-rise structures. In the proposed method, the coarsening method, the optimal relaxation coefficient of the JOR smoother, the smoothing times, and the solution method for the coarsest grid of an AMG preconditioner were investigated via several numerical benchmarks of high-rise structures. The accuracy and the efficiency of the proposed FEM application framework were compared using the mature software Abaqus, and there were speedups of up to 18.4x when using an NVIDIA K40C GPU hosted in a workstation. The results demonstrated that the proposed method could improve the computational efficiency of solving structural system equations, and the AMG-CG FEM application framework was inherently suitable for numerical analysis of high-rise structures.
 
Key Words
    algebraic multigrid; GPU acceleration; heterogeneous platforms; high-rise structures; Jacobi overrelaxation smoother; numerical analysis; preconditioned conjugate gradient method
 
Address
Zuohua Li, Qingfei Shan, Jiafei Ning, Yu Li, Kaisheng Guo and Jun Teng: School of Civil and Environmental Engineering, Harbin Institute of Technology, Shenzhen, 518055, China
 

Techno-Press: Publishers of international journals and conference proceedings.       Copyright © 2022 Techno Press
P.O. Box 33, Yuseong, Daejeon 305-600 Korea, Tel: +82-42-828-7996, Fax : +82-42-828-7997, Email: info@techno-press.com