Removing the Barrier to Scalability in Parallel FMM

Computer Science – Computational Engineering – Finance – and Science

Scientific paper

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11 pages, 2 figures

Scientific paper

The Fast Multipole Method (FMM) is well known to possess a bottleneck arising
from decreasing workload on higher levels of the FMM tree [Greengard and Gropp,
Comp. Math. Appl., 20(7), 1990]. We show that this potential bottleneck can be
eliminated by overlapping multipole and local expansion computations with
direct kernel evaluations on the finest level grid.

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