## Search

Now showing items 1-10 of 23

#### 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 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 ...

#### Fast and accurate solutions of large-scale scattering problems with parallel multilevel fast multipole algorithm

(IEEE, 2007)

Fast and accurate solution of large-scale scattering problems obtained by integral-equation formulations for conducting surfaces is considered in this paper. By employing a parallel implementation of the multilevel fast ...

#### 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 ...

#### Windowed equivalence principle for open surfaces

(IEEE, 2013)

We introduce a modified current expansion scheme over open surfaces based on the equivalence theorem, which employs closed surfaces, in principle. Weighting the expansion coefficients with a suitable window function ...

#### 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, ...

#### Preconditioning large integral-equation problems involving complex targets

(IEEE, 2008-07)

When the target problem is small in terms of the wavelength, simple preconditioners, such as BDP, may sufficiently accelerate the convergence. On the other hand, for large-scale problems, the matrix equations become much ...