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

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 Single Instruction Multiple Data vectorization. In the numerical tests we observe high efficiencies of our parallelization approach.