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A parallel preconditioned conjugate gradient solution method for finite element problems with coarse-fine mesh formulation

机译:一种基于粗细网格公式的有限元问题的并行预处理共轭梯度求解方法

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The object of this paper is a parallel preconditioned conjugate gradient iterative solver for finite element problems with coarse-mesh/fine-mesh formulation. An efficient preconditioner is easily derived from the multigrid stiffness matrix. The method has been implemented, for the sake of comparison, both on a IBM-RISC590 and on a Quadrics-QH1, a massive parallel SIMD machine with 128 processors. Examples of solutions of simple linear elastic problems on rectangular grids are presented and convergence and parallel performance are discussed. (C) 2000 Elsevier Science Ltd. All rights reserved. References: 15
机译:本文的目的是用粗网格/细网格公式解决有限元问题的并行预处理共轭梯度迭代求解器。从多网格刚度矩阵中可以很容易地推导出一个高效的预处理器。为了进行比较,该方法已在 IBM-RISC590 和 Quadrics-QH1(具有 128 个处理器的大型并行 SIMD 机器)上实现。给出了矩形网格上简单线弹性问题的解实例,并讨论了收敛性和并行性能。(C) 2000 Elsevier Science Ltd.保留所有权利。[参考文献: 15]

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