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Parallel multigrid algorithms on CM-5

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2 Author(s)
Ramanathan, P. ; Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA ; Chalasani, S.

Solutions to partial differential equations are required in many engineering applications. The multigrid method is an iterative technique for speeding up the solution of these equations. The authors describe a parallel implementation of the multigrid method on the Connection Machine CM-5 architecture. An analytic model is presented for estimating the computation and communication times of the multigrid algorithm. The times predicted by the analytic model are within 5% of the results obtained from CM-5. Results demonstrate that the communication overhead incurred by the parallel multigrid algorithm is relatively small compared to the computation time. Consequently, implementations of the multigrid algorithm on the CM-5 easily achieve processor efficiencies near 100%

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Computers and Digital Techniques, IEE Proceedings -  (Volume:142 ,  Issue: 3 )