Departments
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Accelerating the multilevel fast multipole algorithm with the sparseapproximateinverse (SAI) preconditioning
(Society for Industrial and Applied Mathematics, 2009)With the help of the multilevel fast multipole algorithm, integralequation methods can be used to solve reallife electromagnetics problems both accurately and efficiently. Increasing problem dimensions, on the other hand, ... 
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 extremely large integralequation problems in computational electromagnetics
(IEEE, 201302)Accurate simulations of reallife electromagnetics problems with integral equations require the solution of dense matrix equations involving millions of unknowns. Solutions of these extremely large problems cannot be ... 
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 ... 
Comparison of integralequation 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 ... 
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 ... 
Computational study of scattering from healthy and diseased red blood cells
(Society of Photo Optical Instrumentation Engineers, 20100805)We present a comparative study of scattering from healthy red blood cells (RBCs) and diseased RBCs with deformed shapes. Scattering problems involving threedimensional RBCs are formulated accurately with the electric and ... 
Contamination of the accuracy of the combinedfield integral equation with the discretization error of the magneticfield integral equation
(Institute of Electrical and Electronics Engineers, 2009)We investigate the accuracy of the combinedfield integral equation (CFIE) discretized with the RaoWiltonGlisson (RWG) basis functions for the solution of scattering and radiation problems involving threedimensional ...