## Search

Now showing items 1-10 of 20

#### Solution of extremely large integral-equation problems

(IEEE, 2007)

We report the solution of extremely large integral-equation problems involving electromagnetic scattering from conducting bodies. By orchestrating diverse activities, such as the multilevel fast multipole algorithm, iterative ...

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

(IEEE, 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 ...

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

(IEEE, 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 ...

#### Preconditioning iterative MLFMA solutions of integral equations

(IEEE, 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 ...

#### Analysis of photonic-crystal problems with MLFMA and approximate Schur preconditioners

(IEEE, 2009-07)

We consider fast and accurate solutions of electromagnetics problems involving three-dimensional photonic crystals (PhCs). Problems are formulated with the combined tangential formulation (CTF) and the electric and magnetic ...

#### Solutions of large integral-equation problems with preconditioned MLFMA

(IEEE, 2007)

We report the solution of the largest integral-equation problems in computational electromagnetics. We consider matrix equations obtained from the discretization of the integral-equation formulations that are solved ...

#### Solutions of large-scale electromagnetics problems using an iterative inner-outer scheme with ordinary and approximate multilevel fast multipole algorithms

(2010)

We present an iterative inner-outer scheme for the efficient solution of large-scale electromagnetics problems involving perfectly-conducting objects formulated with surface integral equations. Problems are solved by ...

#### Fast and accurate solutions of scattering problems involving dielectric objects with moderate and low contrasts

(IEEE, 2007-08)

We consider the solution of electromagnetic scattering problems involving relatively large dielectric objects with moderate and low contrasts. Three-dimensional objects are discretized with Rao-Wilton-Glisson functions and ...

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

(IEEE, 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 ...

#### Fast and accurate analysis of optical metamaterials using surface integral equations and the parallel multilevel fast multipole algorithm

(IEEE, 2013)

We present fast and accurate simulations of optical metamaterials using surface integral equations and the multilevel fast multipole algorithm (MLFMA). Problems are formulated with the electric and magnetic current ...