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Mapping finite element graphs on hypercubes
Journal article   Peer reviewed

Mapping finite element graphs on hypercubes

YEH-CHING CHUNG and Sanjay Ranka
The Journal of Supercomputing, Vol.6(3-4), pp.257-282
12/1992

Abstract

finite element graph hypercube load balancing Mapping speedup
The two-way stripes partition mapping and the greedy assignment mapping are proposed to map finite element graphs composed of a number of rectilinear four-node elements on hypercubes. The two-way stripes partition mapping is a two-phase mapping approach. In the first phase a two-way stripes partition heuristic is used to lower the communication cost. In the second phase the load transfer heuristic is used to balance the computational load among processors. The greedy assignment mapping tries to minimize the communication cost and balance the computational load of processors simultaneously. Our simulation results show that the speedups for the two-way stripes partition mapping are better than those for the greedy assignment mapping when the load balancing criterion is achieved in both approaches (that is, the number of nodes in each processor is at most one more than the number of nodes in any other processor). However, the greedy approach performs well at a much lower cost. © 1992 Kluwer Academic Publishers.

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