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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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 Single Instruction Multiple Data vectorization. In the numerical tests we observe high efficiencies of our parallelization approach
Original languageEnglish
Pages (from-to)C320-C345
JournalSIAM Journal on Scientific Computing
Issue number4
Publication statusPublished - Aug 2022

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