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Computers and Concrete Volume 29, Number 2, February 2022 , pages 93-105 DOI: https://doi.org/10.12989/cac.2022.29.2.093 |
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AMG-CG method for numerical analysis of high-rise structures on heterogeneous platforms with GPUs |
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Zuohua Li, Qingfei Shan, Jiafei Ning, Yu Li, Kaisheng Guo and Jun Teng
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| 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 | ||