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Accuracy and efficiency considerations in the solution of extremely large electromagnetics problems
(IEEE, 2011)This study considers fast and accurate solutions of extremely large electromagnetics problems. Surface formulations of largescale objects lead to dense matrix equations involving millions of unknowns. Thanks to recent ... 
Accuracy: The Frequently Overlooked Parameter in the Solution of Extremely Large Problems
(IEEE, 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 ... 
Accurate modeling of metamaterials with MLFMA
(ESA Publications, 2006)Electromagnetic modelling of large metamaterial (MM) structures employing multilevel fast multipole algorithm (MLFMA) is reported. MMs are usually constructed by periodically embedding unit cells, such as splitring ... 
Accurate solutions of scattering problems involving lowcontrast dielectric objects with surface integral equations
(Institution of Engineering and Technology, 2007)We present the stabilization of the surface integral equations for accurate solutions of scattering problems involving lowcontrast dielectric objects. Unlike volume formulations, conventional surface formulations fail to ... 
Advanced partitioning and communication strategies for the efficient parallelization of the multilevel fast multipole algorithm
(IEEE, 2010)Largescale electromagnetics problems can be solved efficiently with the multilevel fast multipole algorithm (MLFMA) [1], which reduces the complexity of matrixvector multiplications required by iterative solvers from O(N ... 
Algebraic acceleration and regularization of the source reconstruction method with the recompressed adaptive cross approximation
(IEEE, 2014)We present a compression algorithm to accelerate the solution of source reconstruction problems that are formulated with integral equations and defined on arbitrary threedimensional surfaces. This compression technique ... 
Analysis of dielectric photoniccrystal problems with MLFMA and Schurcomplement preconditioners
(IEEE, 20110113)We present rigorous solutions of electromagnetics problems involving 3D dielectric photonic crystals (PhCs). Problems are formulated with recently developed surface integral equations and solved iteratively using the ... 
Analysis of doublenegative materials with surface integral equations and the multilevel fast multipole algorithm
(IEEE, 2011)We present a fast and accurate analysis of doublenegative materials (DNMs) with surface integral equations and the multilevel fast multipole algorithm (MLFMA). DNMs are commonly used as simplified models of metamaterials ... 
Analysis of Lossy Dielectric Objects with the Multilevel Fast Multipole Algorithm
(IEEE, 2011)Rigorous solutions of electromagnetics problems involving lossy dielectric objects are considered. Problems are formulated with two recently developed formulations, namely, the combinedtangential formulation (CTF) and the ... 
Analysis of photoniccrystal problems with MLFMA and approximate Schur preconditioners
(IEEE, 200907)We consider fast and accurate solutions of electromagnetics problems involving threedimensional photonic crystals (PhCs). Problems are formulated with the combined tangential formulation (CTF) and the electric and magnetic ... 
Approximate MLFMA as an efficient preconditioner
(IEEE, 2007)In this work, we propose a preconditioner that approximates the dense system operator. For this purpose, we develop an approximate multilevel fast multipole algorithm (AMLFMA), which performs a much faster matrixvector ... 
Approximate Schur preconditioners for efficient solutions of dielectric problems formulated with surface integral equations
(IEEE, 200907)We propose direct and iterative versions of approximate Schur preconditioners to increase robustness and efficiency of iterative solutions of dielectric problems formulated with surface integral equations. The performance ... 
Benchmark Solutions of Large Problems for Evaluating Accuracy and Efficiency of Electromagnetics Solvers
(IEEE, 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 ... 
Circular arrays of logperiodic antennas for broadband applications
(IEEE, 2006)Circular arrays of logperiodic (LP) antennas are designed for broadband applications. A sophisticated electromagnetic simulation environment involving integral equations and fast solvers is developed to analyze the LP ... 
Computational analysis of complicated metamaterial structures using MLFMA and nested preconditioners
(IEEE, 200711)We consider accurate solution of scattering problems involving complicated metamaterial (MM) structures consisting of thin wires and splitring resonators. The scattering problems are formulated by the electricfield ... 
An effective preconditioner based on schur complement reduction for integralequation formulations of dielectric problems
(IEEE, 2009)The author consider effective preconditioning of recently proposed two integralequation formulations for dielectrics; the combined tangential formulation (CTF) and the electric and magnetic current combinedfield integral ... 
Effective preconditioners for large integralequation problems
(IET, 200711)We consider effective preconditioning schemes for the iterative solution of integralequation methods. For parallel implementations, the sparse approximate inverse or the iterative solution of the nearfield system enables ... 
An efficient parallel implementation of the multilevel fast multipole algorithm for rigorous solutions of largescale scattering problems
(IEEE, 2010)We present the solution of largescale scattering problems discretized with hundreds of millions of unknowns. The multilevel fast multipole algorithm (MLFMA) is parallelized using the hierarchical partitioning strategy on ... 
Efficient parallelization of the multilevel fast multipole algorithm for the solution of largescale scattering problems
(IEEE, 2006)We report our efforts for the solution of large electromagnetics problems accurately and efficiently with the parallel multilevel fast multipole algorithm. We carefully investigate different stages of the parallelization ... 
Efficient surface integral equation methods for the analysis of complex metamaterial structures
(IEEE, 2009)Two approaches, the multilevel fast multipole algorithm with sparse approximate inverse preconditioner and the surface equivalence principle algorithm, are applied to analyze complex threedimensional metamaterial structures. ...