摘要
本文阐述了用有限元法求解三维电磁场问题时，基于逐元（ｅｌｅｍｅｎｔｂｙｅｌｅｍｅｎｔ）技术的并行共轭梯度法（ＣＧ）和并行对角预处理共轭梯度法（ＤＣＧ）方法。我们在四个处理器的晶片计算机（Ｔｒａｎｓｐｕｔｅｒ系统）上实现了这两种算法，取得了相对于处理器个数几乎线性的加速比。由于不需存储整体系数矩阵，在很大程度上节省了内存，大大提高了用微机求解电磁场问题的能力。
In this paper,the parallel Conjugate Gradient method (CG)and Diagonal preconditioning Conjugate Gradientmethod(DCG)based on the technique of element-by-element(EBE)are described,which are used in studies of 3-dimensional electromagnetic fields with a big finite element equations. Both of .them has been implemented on a parallel Transputer system with four processors and a nearly linear speedup ratio has been.achieved. Because thesemethods needn't store global matrix and save a lot of memory capacities,they are powerful tools for solving the finite element problem of 3-dimensional electromagnetic fields accurately.
出处
《中国电机工程学报》
EI
CSCD
北大核心
1994年第1期14-19,共6页
Proceedings of the CSEE
基金
国家自然科学基金
关键词
有限元
逐元技术
三维电磁场
计算
Finite element method
EBE technique
Parallel processing systems
Preconditioning
Electromagnetic field
Conjugate Gradient methods
Analysis
