A Fast Solver for FEM Analyses Using the
A Fast Solver for FEM Analyses Using the
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使用 FEM 分析的快速求解器
DOI：
10.1109/20.996099
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
M. Shimasaki
中科院分区：
文献类型：
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作者：
T. Mifune;T. Iwashita;M. Shimasaki
代数多重网格（AMG）方法是求解有限元分析中线性方程组的一种有效方法. AMG方法适用于矩阵级，不同于几何多重网格求解器。本文提出了一种结合并行处理技术和AMG方法作为电磁场分析的快速求解器。而AMG方法由设置阶段和解决方案阶段，并行处理的前一个阶段是困难的。我们提出了使用远程插值，而不是传统的直接插值的AMG设置阶段的并行效率的提高。静磁分析和涡流分析表明求解器的性能。数值结果表明，并行AMG是一个快速求解器，并具有足够的可扩展性，与传统的求解器相比。
The algebraic multigrid (AMG) method is an effi- cient solver for linear systems arising in finite element analyses. The AMG method is applicable at a matrix level, different from the geometric multigrid solvers. This paper proposes a combination of the parallel processing technique and the AMG method as a fast solver for electromagnetic field analyses. While the AMG method consists of a setup phase and a solution phase, parallel processing of the former phase is difficult. We present the use of long-range interpolation instead of the conventional direct interpolation for improvement of the parallel efficiency of the AMG setup phase. A magnetostatic analysis and an eddy-current analysis show the solver performance. The numerical results show that parallelized AMG is a fast solver and has sufficient scalability, as compared with the conventional solver.