Nearest-neighbor mapping of finite element graphs onto processor meshes

  • Authors:
  • P. Sadayappan;F. Ercal

  • Affiliations:
  • The Ohio State Univ., Columbus, OH;The Ohio State Univ., Columbus, OH

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1987

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Abstract

The processor allocation problem is addressed in the context of the parallelization of a finite element modeling program on a processor mesh. A heuristic two-step, graph-based mapping scheme with polynomial-time complexity is developed: 1) initial generation of a graph partition for nearest-neighbor mapping of the finite element graph onto the processor graph, and, 2) a heuristic boundary refinement procedure to incrementally alter the initial partition for improved load balancing among the processors. The effectiveness of the approach is gaged both by estimation using a model with empirically determined parameters, as well as implementation and experimental measurement on a 16 node hypercube parallel computer.