自适应方法与矩形划分问题

C. Ozturan, B. Szymanski, J.E. Flaherthy
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引用次数: 8

摘要

讨论了网格连接SIMD体系结构中工作负载不均匀的矩形域划分问题。将自适应方法应用于SIMD机床上的双曲型微分方程的求解,从而考虑了矩形负荷。定义了一种新的划分问题形式,将处理器的子网格分配给任务,每个任务是一个离散的矩形子域。每个处理器的工作(即工作密度)在处理器的K个子矩形网格之间平衡。首先,给出了一维问题的形式化形式,并提出了O(Kn/sup 3/)时间和(Kn/sup 2/)空间的最优算法。对于一维问题,给出了一种更有效的启发式算法。最后,通过将权重投影到一维数组上,开发了二维启发式算法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Adaptive methods and rectangular partitioning problem
Partitioning problems for rectangular domains having nonuniform workload for mesh-connected SIMD architectures are discussed. The considered rectangular workloads result from application of adaptive methods to the solution of hyperbolic differential equations on SIMD machines. A new form of the partitioning problem is defined in which sub-meshes of processors are assigned to tasks, each task being a discretized rectangular sub-domain. The work per processor (i.e. the work density) is balanced among the K sub-rectangular meshes of processors. First, a formalization of the 1D problem is given and a O(Kn/sup 3/) time and (Kn/sup 2/) space optimal algorithm is proposed. A more efficient heuristic algorithm is also given for the 1D problem. Finally 2D heuristics are developed by projecting the weights on to a 1D array.<>
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