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arXiv · 2106.15911

A parallel fast multipole method for a space-time boundary element method for the heat equation

Raphael Watschinger·Michal Merta·Günther Of·Jan Zapletal
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Abstract

We present a novel approach to the parallelization of the parabolic fast multipole method for a space-time boundary element method for the heat equation. We exploit the special temporal structure of the involved operators to provide an efficient distributed parallelization with respect to time and with a one-directional communication pattern. On top, we apply a task-based shared memory parallelization and SIMD vectorization. In the numerical tests we observe high efficiencies of our parallelization approach.

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Raphael Watschinger, Michal Merta, Günther Of, Jan Zapletal. 2021-06-30. A parallel fast multipole method for a space-time boundary element method for the heat equation. https://doi.org/10.1137/21m1430157

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