A practical and complete, but not rigorous, exposition of the fact multiple method (FMM) is
provided. The FMM provides an efficient mechanism for the numerical convolution of the …

The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational
Electromagnetic Problems provides a detailed and instructional overview of implementing …

In this paper, we present a flexible and efficient ternary parallelization approach for the
multilevel fast multipole algorithm (MLFMA) for the solution of extremely large 3-D scattering …

We present a novel hierarchical partitioning strategy for the efficient parallelization of the
multilevel fast multipole algorithm (MLFMA) on distributed-memory architectures to solve …

During the last two-three decades the importance of computer simulations based on
numerical full-wave solutions of Maxwell's has continuously increased in electrical …

Using OpenMP to further accelerate the pure MPI parallel MLFMA, an efficient and flexible
parallel multilevel fast multipole algorithm (MPI-OpenMP-MLFMA) is proposed. Compared …

In this article, a massively parallel approach of the multilevel fast multipole algorithm
(PMLFMA) on graphics processing unit (GPU) heterogeneous platform, noted as GPU …

Algorithmic improvements to the parallel, distributed-memory multilevel fast multipole
algorithm (MLFMA) have resulted in implementations with favorable weak scaling …

The solution of extremely large scattering problems that are formulated by integral equations
and discretised with tens of millions of unknowns is reported. Accurate and efficient solutions …

Accurate simulations of real-life electromagnetic problems with integral equations require
the solution of dense matrix equations involving millions of unknowns. Solutions of these …