一种有限元并行共轭梯度算法在计算力学中的应用

Application of A PCG Method of Finite Element Method in the Computing of Electromagnetic Field

本文以POSSION方程为研究背景,实现了有限元的并行计算。通过对定解区域进行特殊的划分,达到了不需合成结构刚度矩阵的目的,并在此基础上应用线性方程组的共轭梯度法,使计算的并行性得到了很好的拓展,实现了从网格划分、刚度矩阵的合成到方程求解的并行执行。并将该算法应用在计算力学中。程序在西北工业大学高性能计算中心的HPRX2600上进行了数值实验,结果表明,该方法具有良好的加速比。

Taken solving Poisson boundary problem as a sample, a Parallel Conjugate Gradient Method for parallel computing of finite element method is completed on the basis of a special splitting way of the solving area on the MIMP parallel computing system. Apply this method in computational mechanics, A numerical experiment carried out on the HP RX2600 of High Performance Computing Center of NWPU indicates that higher efficiency can be obtained.