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#### Hierarchical parallelisation strategy for multilevel fast multipole algorithm in computational electromagnetics

(The Institution of Engineering and Technology, 2008)

A hierarchical parallelisation of the multilevel fast multipole algorithm (MLFMA) for the efficient solution of large-scale problems in computational electromagnetics is presented. The tree structure of MLFMA is distributed ...

#### MLFMA memory reduction techniques for solving large-scale problems

(Institute of Electrical and Electronics Engineers Inc., 2014)

We present two memory reduction methods for the parallel multilevel fast multipole algorithm. One of these methods uses data structures out of core, and the other parallelizes the data structures related to input geometry. ...

#### A modified equivalence principle for open surfaces

(Institute of Electrical and Electronics Engineers Inc., 2014)

We introduce a new method for expanding equivalent surface current densities over open surfaces. The new method is based on the equivalence principle, which is theoretically used with closed surfaces. Utilizing low-order ...

#### Solution of low-frequency electromagnetics problems using hierarchical matrices

(2013)

Fast and accurate solutions of low-frequency electromagnetics problems are obtained with an iterative solver based on hierarchical matrices. Iterative solvers require matrix-vector multiplications (MVMs). The results show ...

#### Reducing MLFMA memory with out-of-core implementation and data-structure parallelization

(2013)

We present two memory-reduction methods for the parallel multilevel fast multipole algorithm (MLFMA). The first method implements out-of-core techniques and the second method parallelizes the pre-processing data structures. ...

#### Preconditioning iterative MLFMA solutions of integral equations

(2010)

The multilevel fast multipole algorithm (MLFMA) is a powerful method that enables iterative solutions of electromagnetics problems with low complexity. Iterative solvers, however, are not robust for three-dimensional complex ...

#### Hierarchical parallelization of the multilevel fast multipole algorithm (MLFMA)

(IEEE, 2013)

Due to its O(N log N) complexity, the multilevel fast multipole algorithm (MLFMA) is one of the most prized algorithms of computational electromagnetics and certain other disciplines. Various implementations of this algorithm ...

#### Accuracy and efficiency considerations in the solution of extremely large electromagnetics problems

(2011)

This study considers fast and accurate solutions of extremely large electromagnetics problems. Surface formulations of large-scale objects lead to dense matrix equations involving millions of unknowns. Thanks to recent ...

#### Analysis of double-negative materials with surface integral equations and the multilevel fast multipole algorithm

(2011)

We present a fast and accurate analysis of double-negative materials (DNMs) with surface integral equations and the multilevel fast multipole algorithm (MLFMA). DNMs are commonly used as simplified models of metamaterials ...

#### An efficient parallel implementation of the multilevel fast multipole algorithm for rigorous solutions of large-scale scattering problems

(2010)

We present the solution of large-scale scattering problems discretized with hundreds of millions of unknowns. The multilevel fast multipole algorithm (MLFMA) is parallelized using the hierarchical partitioning strategy on ...