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• W3104516771 abstract "This paper introduces a parallel directional fast multipole method (FMM) for solving N-body problems with highly oscillatory kernels, with a focus on the Helmholtz kernel in three dimensions. This class of oscillatory kernels requires a more restrictive low-rank criterion than that of the low-frequency regime, and thus effective parallelizations must adapt to the modified data dependencies. We propose a simple partition at a fixed level of the octree and show that, if the partitions are properly balanced between p processes, the overall runtime is essentially O(N log N/p+ p). By the structure of the low-rank criterion, we are able to avoid communication at the top of the octree. We demonstrate the effectiveness of our parallelization on several challenging models." @default.
• W3104516771 created "2020-11-23" @default.
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• W3104516771 date "2014-01-01" @default.
• W3104516771 modified "2023-09-25" @default.
• W3104516771 title "A Parallel Directional Fast Multipole Method" @default.
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• W3104516771 doi "https://doi.org/10.1137/130945569" @default.
• W3104516771 hasPublicationYear "2014" @default.
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