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.

翻译：我们提出了一种新颖的方法,将抛物线快速多极法平行化,用于热等式的空间时界要素法,我们利用相关操作人员的特殊时间结构,在时间和单向通信模式方面提供有效的分配平行。我们首先采用了基于任务的共享记忆平行化和SIMD矢量化。在数字测试中,我们观察到我们平行方法的高效性。