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Now showing items 1-9 of 9

#### Accuracy and efficiency considerations in the solution of extremely large electromagnetics problems

(2011)

This study considers fast and accurate solutions of extremely large electromagnetics problems. Surface formulations of large-scale objects lead to dense matrix equations involving millions of unknowns. Thanks to recent ...

#### 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 ...

#### Schur complement preconditioners for surface integral-equation formulations of dielectric problems solved with the multilevel fast multipole algorithm

(Society for Industrial and Applied Mathematics, 2011-10-04)

Surface integral-equation methods accelerated with the multilevel fast multipole algorithm (MLFMA) provide a suitable mechanism for electromagnetic analysis of real-life dielectric problems. Unlike the perfect-electric-conductor ...

#### 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 ...

#### 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 ...

#### Accuracy: The Frequently Overlooked Parameter in the Solution of Extremely Large Problems

(2011)

We investigate error sources and their effects on the accuracy of solutions of extremely large electromagnetics problems with parallel implementations of the multilevel fast multipole algorithm (MLFMA). Accuracy parameters ...

#### 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 ...

#### Benchmark Solutions of Large Problems for Evaluating Accuracy and Efficiency of Electromagnetics Solvers

(2011)

We present a set of benchmark problems involving conducting spheres and their solutions using a parallel implementation of the multilevel fast multipole algorithm (MLFMA). Accuracy of the implementation is tested by comparing ...