一种多波前并行处理的有限元算法

A FINITE ELEMENT ALGORITHM FOR PARALLEL PROCESSING OF MULTI-FRONTS

本文提出了一种求解大型有限元系统的新算法。该算法采用并行处理结构,首先将结构分成许多子区,然后利用多个波前在各个子区内并行地组集,消元,从而得到凝聚后的界面刚度阵和载荷阵。再串行组集和求解界面方程得界面位移,最后返回各个子区,并行求解内点应力和位移。从运算结果来看,该方法不但能有效地提高运算速度,减少计算时间,同时能有效地节省内存量,是一种求解大型结构有限元系统的有效途径。

In this paper,a new algorithm for solving large-scale finite element system is presented, which utilizes the architecture of parallel processing. Firstly, the structure is partitioned into sub-regions. Then multi-fronts are used to assemble and eliminate concurrently in every sub-region. Thus the condensed interface stiffness matrices and load vectors are obtained. By serially assembling and solving global equation to get interface displacements and backing to every sub-region, the inter-nodal displacements and element stresses can be solved. The results of computation show that it can not only increase the speed of computation,but also save the memory space of computer effectively. This algorithm is an effective method for solving large-scale structural finite element systems.