机群环境下基于PCG法的有限元并行算法

A parallel algorithm design for finite element methods by PCG on clusters of workstations

在机群系统下进行有限元并行算法的研究是工程领域的前沿课题之一。文章讨论了将有限元产生的线性方程组在机群环境下使用预处理共轭梯度算法求解,由于其与有限元法的最小化过程非常相似,因此在大规模并行结构中能被有效实现。

It is one of the most advanced subjects to carriey out the parallel algorithm design for finite element methods on cluster system. This text discusses the system of linear equations produced by finite element that is solved by conjugate gradient algorithm. Both use similar minimization procedures. The conjugate gradient can be implemented efficiently on a massively parallel architecture.