## Search

Now showing items 1-10 of 11

#### 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 ...

#### 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 ...

#### Fast and accurate analysis of large-scale composite structures with the parallel multilevel fast multipole algorithm

(Optical Society of America, 2013)

Accurate electromagnetic modeling of complicated optical structures poses several challenges. Optical metamaterial and plasmonic structures are composed of multiple coexisting dielectric and/or conducting parts. Such ...

#### Stabilization of integral-equation formulations for the accurate solution of scattering problems involving low-contrast dielectric objects

(Institute of Electrical and Electronics Engineers, 2008)

The solution of scattering problems involving low-contrast dielectric objects with three-dimensional arbitrary shapes is considered. Using the traditional forms of the surface integral equations, scattered fields cannot ...

#### Rigorous analysis of double-negative materials with the multilevel fast multipole algorithm

(Applied Computational Electromagnetics Society, Inc., 2012)

We present rigorous analysis of double-negative materials (DNMs) with surface integral equations and the multilevel fast multipole algorithm (MLFMA). Accuracy and efficiency of numerical solutions are investigated when ...

#### Comparison of integral-equation formulations for the fast and accurate solution of scattering problems involving dielectric objects with the multilevel fast multipole algorithm

(Institute of Electrical and Electronics Engineers, 2009)

We consider fast and accurate solutions of scattering problems involving increasingly large dielectric objects formulated by surface integral equations. We compare various formulations when the objects are discretized with ...

#### Iterative solutions of hybrid integral equations for coexisting open and closed surfaces

(IEEE, 2009)

We consider electromagnetics problems involving composite geometries with coexisting open and closed conductors. Hybrid integral equations are presented to improve the efficiency of the solutions, compared to the conventional ...

#### A hierarchical partitioning strategy for an efficient parallelization of the multilevel fast multipole algorithm

(IEEE, 2009)

We present a novel hierarchical partitioning strategy for the efficient parallelization of the multilevel fast multipole algorithm (MLFMA) on distributed-memory architectures to solve large-scale problems in electromagnetics. ...

#### Discretization error due to the identity operator in surface integral equations

(ELSEVIER, 2009-05-03)

We consider the accuracy of surface integral equations for the solution of scattering and radiation problems in electromagnetics. In numerical solutions, second-kind integral equations involving well-tested identity operators ...

#### Contamination of the accuracy of the combined-field integral equation with the discretization error of the magnetic-field integral equation

(Institute of Electrical and Electronics Engineers, 2009)

We investigate the accuracy of the combined-field integral equation (CFIE) discretized with the Rao-Wilton-Glisson (RWG) basis functions for the solution of scattering and radiation problems involving three-dimensional ...