## Search

Now showing items 1-10 of 14

#### 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 ...

#### 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 ...

#### 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 ...

#### 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 ...

#### 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 ...

#### Efficient parallelization of the multilevel fast multipole algorithm for the solution of large-scale scattering problems

(Institute of Electrical and Electronics Engineers, 2008-08)

We present fast and accurate solutions of large-scale scattering problems involving three-dimensional closed conductors with arbitrary shapes using the multilevel fast multipole algorithm (MLFMA). With an efficient ...

#### 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 iterative solutions of the electric-field integral equation via transformations into normal equations

(Taylor and Francis, 2012-04-03)

We consider the solution of electromagnetics problems involving perfectly conducting objects formulated with the electric-field integral equation (EFIE). Dense matrix equations obtained from the discretization of EFIE are ...

#### 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 ...

#### 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). ...