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首页> 外文期刊>Electronics and communications in Japan >A Parallel Multigrid Solver for High-Frequency Electromagnetic Field Analyses with Small-Scale PC Cluster
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A Parallel Multigrid Solver for High-Frequency Electromagnetic Field Analyses with Small-Scale PC Cluster

机译：小型PC机群的并行多网格求解器用于高频电磁场分析

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摘要

Finite element analyses of electromagnetic fields are commonly used for designing various electronic devices. The scale of the analyses becomes larger and larger, therefore, a fast linear solver is needed to solve linear equations arising from the finite element method. Since a multigrid solver is the fastest linear solver for these problems, paral-lelization of a multigrid solver is quite a useful approach. From the viewpoint of industrial applications, an effective usage of a small-scale PC cluster is important due to initial cost for introducing parallel computers. In this paper, a distributed parallel multigrid solver for a small-scale PC cluster is developed. In high-frequency electromagnetic analyses, a special block Gauss-Seidel smoother is used for the multigrid solver instead of general smoothers such as a Gauss-Seidel or Jacobi smoother in order to improve the convergence rate. The block multicolor ordering technique is applied to parallelize the smoother. A numerical example shows that a 3.7-fold speed-up in computational time and a 3.0-fold increase in the scale of the analysis were attained when the number of CPUs was increased from one to five.
机译：电磁场的有限元分析通常用于设计各种电子设备。分析的规模越来越大，因此，需要快速线性求解器来求解由有限元方法产生的线性方程。由于多网格求解器是解决这些问题的最快线性解决方案，因此多网格求解器的并行化是一种非常有用的方法。从工业应用的角度来看，由于引入并行计算机的初始成本，小型PC群集的有效使用很重要。本文开发了一种用于小型PC集群的分布式并行多网格求解器。在高频电磁分析中，多块网格求解器使用特殊的块高斯-塞德尔平滑器代替高斯-塞德尔或雅可比平滑器之类的通用平滑器，以提高收敛速度。应用块多色排序技术来使平滑器并行化。数值示例表明，当CPU数量从一增加到五时，计算时间加快了3.7倍，分析规模增加了3.0倍。

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