二网格法网上并行求解有限元特征值

Solution of finite element eigenvalue by net parallel two-grid discretization scheme

针对基于pvm的桌面PC机联网而成的网络并行计算环境中,处理机的运算速度较快而处理机间的通信相对较慢,以及微机的内存有限的实际情况,从实用的角度出发,给出了基于PVM的网上并行实现特征值问题的二网格法,实现过程中矩阵和向量采用分块储存方式,运用行元素单元贡献法实现了有限元总体刚度矩阵、总体质量矩阵、总体荷载向量的生成,并在1-8台桌面PC机连接成的局域网,PVM3.4 on WindowXP,VC 6.0并行计算平台上编程对该算法进行了数值试验,得到了较理想的结果。

Based on the situation of the higher speed of the processors＇ operation and the relatively lower speed of the communication among them in the net parallel computing environment in PVM system and the limited memory of the computers,we suggest that network parallel computing base on PVM can be used to solve the problems of two-grid discretization scheme for eigenvalue,in which the matrix and vector are stored through row-block,and line assign is adopted for the generation of rigidity matrix,mass matrix and load vector.the building of network parallel numerical computing platforms based on VC6.0.All the algorithms are implemented on LAN made of 1-8 personal computers,and we get the right answer.After pre-process iteartion convergence speed is quick,and parallel speedup and computing time are both ideal.