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#### 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 ...

#### Advanced partitioning and communication strategies for the efficient parallelization of the multilevel fast multipole algorithm

(2010)

Large-scale electromagnetics problems can be solved efficiently with the multilevel fast multipole algorithm (MLFMA) [1], which reduces the complexity of matrix-vector multiplications required by iterative solvers from O(N ...

#### Rigorous solutions of large-scale dielectric problems with the parallel multilevel fast multipole algorithm

(2011)

We present fast and accurate solutions of large-scale electromagnetics problems involving three-dimensional homogeneous dielectric objects. Problems are formulated rigorously with the electric and magnetic current ...

#### Accuracy: The Frequently Overlooked Parameter in the Solution of Extremely Large Problems

(2011)

We investigate error sources and their effects on the accuracy of solutions of extremely large electromagnetics problems with parallel implementations of the multilevel fast multipole algorithm (MLFMA). Accuracy parameters ...

#### Analysis of Lossy Dielectric Objects with the Multilevel Fast Multipole Algorithm

(2011)

Rigorous solutions of electromagnetics problems involving lossy dielectric objects are considered. Problems are formulated with two recently developed formulations, namely, the combined-tangential formulation (CTF) and the ...

#### Benchmark Solutions of Large Problems for Evaluating Accuracy and Efficiency of Electromagnetics Solvers

(2011)

We present a set of benchmark problems involving conducting spheres and their solutions using a parallel implementation of the multilevel fast multipole algorithm (MLFMA). Accuracy of the implementation is tested by comparing ...