## Search

Now showing items 1-10 of 14

#### Preconditioning iterative MLFMA solutions of integral equations

(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

(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

(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 ...

#### 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). ...

#### Fast multipole methods in service of various scientific disciplines

(Institute of Electrical and Electronics Engineers Inc., 2014)

For more than two decades, several forms of fast multipole methods have been extremely successful in various scientific disciplines. Reduced complexity solutions are obtained for solving different forms of equations that ...

#### 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 ...

#### Algebraic acceleration and regularization of the source reconstruction method with the recompressed adaptive cross approximation

(Institute of Electrical and Electronics Engineers Inc., 2014)

We present a compression algorithm to accelerate the solution of source reconstruction problems that are formulated with integral equations and defined on arbitrary three-dimensional surfaces. This compression technique ...

#### Rigorous solutions of electromagnetic problems involving hundreds of millions of unknowns

(IEEE, 2011)

Accurate simulations of real-life electromagnetic problems with integral equations require the solution of dense matrix equations involving millions of unknowns. Solutions of these extremely large problems cannot be easily ...

#### Analysis of Lossy Dielectric Objects with the Multilevel Fast Multipole Algorithm

(2011)

Rigorous solutions of electromagnetics problems involving lossy dielectric objects are considered. Problems are formulated with two recently developed formulations, namely, the combined-tangential formulation (CTF) and the ...

#### 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 ...