Abstract | ||
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On serial computers it is well known that the multigrid FMV cycle is preferable to the V cycle both asymptotically and in practical use over a wide range of applications. However, on massively parallel machines, the parallel efficiency of the FMV (full multigrid V cycle) scheme is noticeably lower than that of the V cycle due to a large percentage of time spent on coarse grids. Thus the question arises: are the additional coarse grid computations within the FMV cycle warranted on massively parallel machines? To answer this, a number of issues are addressed regarding parallel FMV cycles: what efficiencies can be achieved; how do these compare with V cycle efficiencies; are FMV cycles still preferable to V cycles in a massively parallel environment? A model is used to analyze the efficiency of both FMV and V cycles as a function of relaxation efficiency. Using this model, the standard FMV grid-switching criterion is modified to incorporate the efficiency of the coarse grid processing. Numerical results obtained from a multigrid implementation on a 1024-processor nCUBE 2 are used in conjunction with the model to quantify the performance and efficiency of the FMV cycle. Finally, comments are made regarding limitations of parallel processors based on FMV efficiencies. |
Year | DOI | Venue |
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1993 | 10.1137/0914069 | SIAM Journal on Scientific Computing |
Keywords | Field | DocType |
PARALLEL COMPUTING,MULTIGRID,FMV CYCLE | Convergence (routing),Mathematical optimization,Iterative method,Massively parallel,Computer science,Parallel processing,Parallel computing,Mesh generation,Grid,Multigrid method,Computation | Journal |
Volume | Issue | ISSN |
14 | 5 | 1064-8275 |
Citations | PageRank | References |
2 | 0.44 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ray S. Tuminaro | 1 | 447 | 38.09 |
David E. Womble | 2 | 18 | 3.62 |