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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 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
(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 ... 
Advanced partitioning and communication strategies for the efficient parallelization of the multilevel fast multipole algorithm
(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
(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 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
(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
(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 ... 
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 ... 
An efficient parallel implementation of the multilevel fast multipole algorithm for rigorous solutions of largescale scattering problems
(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 ... 
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 ... 
Iterative nearfield preconditioner for the multilevel fast multipole algorithm
(Society for Industrial and Applied Mathematics, 20100706)For iterative solutions of large and difficult integralequation problems in computational electromagnetics using the multilevel fast multipole algorithm (MLFMA), preconditioners are usually built from the available sparse ... 
Microwave imaging of threedimensional conducting objects using the newton minimization approach
(2013)In this work, we present a framework to detect the shape of unknown perfect electric conducting objects by using inverse scattering and microwave imaging. The initialguess object, which evolves to achieve the target, is ... 
MLFMA memory reduction techniques for solving largescale problems
(Institute of Electrical and Electronics Engineers Inc., 2014)We present two memory reduction methods for the parallel multilevel fast multipole algorithm. One of these methods uses data structures out of core, and the other parallelizes the data structures related to input geometry. ... 
A modified equivalence principle for open surfaces
(Institute of Electrical and Electronics Engineers Inc., 2014)We introduce a new method for expanding equivalent surface current densities over open surfaces. The new method is based on the equivalence principle, which is theoretically used with closed surfaces. Utilizing loworder ... 
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 threedimensional complex ... 
Reducing MLFMA memory with outofcore implementation and datastructure parallelization
(2013)We present two memoryreduction methods for the parallel multilevel fast multipole algorithm (MLFMA). The first method implements outofcore techniques and the second method parallelizes the preprocessing data structures. ... 
Rigorous analysis of doublenegative materials with the multilevel fast multipole algorithm
(Applied Computational Electromagnetics Society, Inc., 2012)We present rigorous analysis of doublenegative materials (DNMs) with surface integral equations and the multilevel fast multipole algorithm (MLFMA). Accuracy and efficiency of numerical solutions are investigated when ... 
Rigorous solutions of electromagnetic problems involving hundreds of millions of unknowns
(IEEE, 2011)Accurate simulations of reallife 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 ... 
Rigorous solutions of largescale dielectric problems with the parallel multilevel fast multipole algorithm
(2011)We present fast and accurate solutions of largescale electromagnetics problems involving threedimensional homogeneous dielectric objects. Problems are formulated rigorously with the electric and magnetic current ...