基于EBE技术三维电磁场的并行计算

The Parallel Computation of 3D Electromagnetic Field Based on EBE Technique

阐述了用有限元法求解三维电磁场问题时，基于单元接单元即ＥＢＥ（ｅｌｅｍｅｎｔ－ｂｙ－ｅｌｅｍｅｎｔ）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体计算机（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 Gradientmethod(CG) and Diagonal preconditioning Conjugate Gradient method(DCG) based on the technique of element-by-element (EBE) are described, which are used in the study of 3D electromagnetic fields by using finite element methods. Both of them has been implemented on a parallel Transputer system with four processors and a nearly linear speedup ratio has been achieved.Because these methods needn't store global matrix and save a lot of memory capacities, they are powerful tools for solving the finite element problem of 3D electromagnetic fields accurately.