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.
@article{arxiv.2106.15911,
title = {A parallel fast multipole method for a space-time boundary element method for the heat equation},
author = {Raphael Watschinger and Michal Merta and Günther Of and Jan Zapletal},
journal= {arXiv preprint arXiv:2106.15911},
year = {2023}
}