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Now showing items 1-7 of 7

#### 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). ...

#### Analysis of dielectric photonic-crystal problems with MLFMA and Schur-complement preconditioners

(IEEE, 2011-01-13)

We present rigorous solutions of electromagnetics problems involving 3-D dielectric photonic crystals (PhCs). Problems are formulated with recently developed surface integral equations and solved iteratively using the ...

#### Stabilization of integral-equation formulations for the accurate solution of scattering problems involving low-contrast dielectric objects

(Institute of Electrical and Electronics Engineers, 2008)

The solution of scattering problems involving low-contrast dielectric objects with three-dimensional arbitrary shapes is considered. Using the traditional forms of the surface integral equations, scattered fields cannot ...

#### 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 ...

#### Comparison of integral-equation formulations for the fast and accurate solution of scattering problems involving dielectric objects with the multilevel fast multipole algorithm

(Institute of Electrical and Electronics Engineers, 2009)

We consider fast and accurate solutions of scattering problems involving increasingly large dielectric objects formulated by surface integral equations. We compare various formulations when the objects are discretized with ...

#### Two-step lagrange interpolation method for the multilevel fast multipole algorithm

(Institute of Electrical and Electronics Engineers, 2009)

We present a two-step Lagrange interpolation method for the efficient solution of large-scale electromagnetics problems with the multilevel fast multipole algorithm (MLFMA). Local interpolations are required during aggregation ...

#### 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 ...