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Now showing items 1-10 of 57

#### Accelerating the multilevel fast multipole algorithm with the sparse-approximate-inverse (SAI) preconditioning

(Society for Industrial and Applied Mathematics, 2009)

With the help of the multilevel fast multipole algorithm, integral-equation methods can be used to solve real-life electromagnetics problems both accurately and efficiently. Increasing problem dimensions, on the other hand, ...

#### 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 ...

#### Schur complement preconditioners for surface integral-equation formulations of dielectric problems solved with the multilevel fast multipole algorithm

(Society for Industrial and Applied Mathematics, 2011-10-04)

Surface integral-equation methods accelerated with the multilevel fast multipole algorithm (MLFMA) provide a suitable mechanism for electromagnetic analysis of real-life dielectric problems. Unlike the perfect-electric-conductor ...

#### Efficient solution of the electric and magnetic current combined‐field integral equation with the multilevel fast multipole algorithm and block‐diagonal preconditioning

(Wiley-Blackwell Publishing, Inc., 2009-12)

We consider the efficient solution of electromagnetics problems involving dielectric and composite dielectric-metallic structures, formulated with the electric and magnetic current combined-field integral equation (JMCFIE). ...

#### 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 ...

#### 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 ...

#### Interpolation techniques to improve the accuracy of the plane wave excitations in the finite difference time domain method

(Wiley-Blackwell Publishing, Inc., 1997-11)

The importance of matching the phase velocity of the incident plane wave to the numerical phase velocity imposed by the numerical dispersion of the three-dimensional (3-D) finite difference time domain (FDTD) grid is ...

#### Two-step lagrange interpolation method for the multilevel fast multipole algorithm

(Institute of Electrical and Electronics Engineers, 2009)

We present a two-step Lagrange interpolation method for the efficient solution of large-scale electromagnetics problems with the multilevel fast multipole algorithm (MLFMA). Local interpolations are required during aggregation ...

#### 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 ...

#### Efficient solution of the electric-field integral equation using the iterative LSQR algorithm

(Institute of Electrical and Electronics Engineers, 2008)

In this letter, we consider iterative solutions of the three-dimensional electromagnetic scattering problems formulated by surface integral equations. We show that solutions of the electric-field integral equation (EFIE) ...