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Now showing items 1-10 of 11

#### 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 ...

#### MLFMA solutions of transmission problems Involving realistic metamaterial walls

(IEEE, 2007-08)

We present the solution of multilayer metamaterial (MM) structures containing large numbers of unit cells, such as split-ring resonators. Integral-equation formulations of scattering problems are solved iteratively 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 ...

#### Efficient solution of the combined-field integral equation with the parallel multilevel fast multipole algorithm

(IEEE, 2007-08)

We present fast and accurate solutions of large-scale scattering problems formulated with the combined-field integral equation. Using the multilevel fast multipole algorithm (MLFMA) parallelized on a cluster of computers, ...

#### Parallel preconditioners for solutions of dense linear systems with tens of millions of unknowns

(2007-11)

We propose novel parallel preconditioning schemes for the iterative solution of integral equation methods. In particular, we try to improve convergence rate of the ill-conditioned linear systems formulated by the electric-field ...

#### Iterative solution of composite problems with the combined-field integral equation

(IEEE, 2007)

We consider the solution of electromagnetic problems related to microwave applications involving composite geometries with coexisting open and closed conductors. Combined-field integral equation is introduced on the closed ...

#### Parallel-MLFMA solution of CFIE discretized with tens of millions of unknowns

(Institution of Engineering and Technology, 2007)

We consider the solution of large scattering problems in electromagnetics involving three-dimensional arbitrary geometries with closed surfaces. The problems are formulated accurately with the combined-field integral ...

#### 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 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 ...

#### 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 ...