## Search

Now showing items 1-10 of 12

#### Fast direct (noniterative) solvers for integral-equation formulations of scattering problems

(IEEE, 1998)

A family of direct (noniterative) solvers with reduced computational complexity is proposed for solving problems involving resonant or near-resonant structures. Based on the recursive interaction matrix algorithm, the ...

#### Scalable parallelization of the sparse-approximate-inverse (SAl) preconditioner for the solution of large-scale integral-equation problems

(IEEE, 2009-06)

In this paper, we consider efficient parallelization of the sparse approximate inverse (SAI) preconditioner in the context of the multilevel fast multipole algorithm (MLFMA). Then, we report the use of SAI in the solution ...

#### An effective preconditioner based on schur complement reduction for integral-equation formulations of dielectric problems

(IEEE, 2009)

The author consider effective preconditioning of recently proposed two integral-equation formulations for dielectrics; the combined tangential formulation (CTF) and the electric and magnetic current combined-field integral ...

#### 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 ...

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

(IEEE, 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 ...

#### On the choice of basis functions to model surface electric current densities in computational electromagnetics

(Wiley-Blackwell Publishing, Inc., 1999-11)

Basis functions that are used to model surface electric current densities in the electric field integral equations of computational electromagnetics are analyzed with respect to how well they model the charge distribution, ...

#### 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 ...

#### Iterative near-field preconditioner for the multilevel fast multipole algorithm

(Society for Industrial and Applied Mathematics, 2010-07-06)

For iterative solutions of large and difficult integral-equation problems in computational electromagnetics using the multilevel fast multipole algorithm (MLFMA), preconditioners are usually built from the available sparse ...

#### Improving the accuracy of the surface integral equations for low-contrast dielectric scatterers

(IEEE, 2007)

Solutions of scattering problems involving low-contrast dielectric objects are considered by employing surface integral equations. A stabilization procedure based on extracting the non-radiating part of the induced currents ...

#### Sequential and parallel preconditioners for large-scale integral-equation problems

(IEEE, 2007)

For efficient solutions of integral-equation methods via the multilevel fast multipole algorithm (MLFMA), effective preconditioners are required. In this paper we review appropriate preconditioners that have been used for ...