Parallelization of the Multilevel Fast Multipole Algorithm by Combined Use of OpenMP and VALU Hardware Acceleration

A parallel scheme that combines the OpenMP and the vector arithmetic logic unit (VALU) hardware acceleration is presented to speed up the multilevel fast multipole algorithm (MLFMA) on shared-memory computers. Performance of the hybrid parallel OpenMP-VALU MLFMA is investigated and several strategies are employed to improve the overall speedup and parallel efficiency. Effectiveness of the hybrid parallel scheme is verified by numerical results of the electromagnetic (EM) scattering examples, and related numerical stability issue is discussed as well.