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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 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 ... 
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 ... 
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 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 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. ... 
Electromagnetic imaging of threedimensional dielectric objects with Newton minimization
(IEEE, 2014)We present a general framework for detecting the shape and electrical properties of unknown objects by using the Newton minimization approach for solving inversescattering problems. This procedure is performed by evolving ... 
Electromagnetic modeling of splitring resonators
(IEEE, 2007)In this paper, we report our efforts to model splitring resonators (SRRs) and their large arrays accurately and efficiently in a sophisticated simulation environment based on recent advances in the computational electromagnetics. ... 
Fast and accurate solutions of scattering problems involving dielectric objects with moderate and low contrasts
(IEEE, 200708)We consider the solution of electromagnetic scattering problems involving relatively large dielectric objects with moderate and low contrasts. Threedimensional objects are discretized with RaoWiltonGlisson functions and ... 
Hierarchical parallelization of the multilevel fast multipole algorithm (MLFMA)
(IEEE, 2013)Due to its O(N log N) complexity, the multilevel fast multipole algorithm (MLFMA) is one of the most prized algorithms of computational electromagnetics and certain other disciplines. Various implementations of this algorithm ... 
Improving iterative solutions of the electricfield integral equation via transformations into normal equations
(Taylor and Francis, 20120403)We consider the solution of electromagnetics problems involving perfectly conducting objects formulated with the electricfield integral equation (EFIE). Dense matrix equations obtained from the discretization of EFIE are ... 
Improving the accuracy of the surface integral equations for lowcontrast dielectric scatterers
(IEEE, 2007)Solutions of scattering problems involving lowcontrast dielectric objects are considered by employing surface integral equations. A stabilization procedure based on extracting the nonradiating part of the induced currents ...