Computational Electromagnetics Research Center (BiLCEM)
Recent Submissions

Modeling and synthesis of circular‐sectoral arrays of log‐periodic antennas using multilevel fast multipole algorithm and genetic algorithms
(WileyBlackwell Publishing, Inc., 20070617)Circular‐sectoral arrays of log‐periodic (LP) antennas are presented for frequency‐independent operation and beam‐steering capability. Specifically, nonplanar trapezoidal tooth LP antennas are considered in a circular array ... 
Reply to "Comments on 'The Use of curlconforming basis functions for the magneticfield integral equation'"
(Institute of Electrical and Electronics Engineers, 2008) 
Efficient parallelization of the multilevel fast multipole algorithm for the solution of largescale scattering problems
(Institute of Electrical and Electronics Engineers, 200808)We present fast and accurate solutions of largescale scattering problems involving threedimensional closed conductors with arbitrary shapes using the multilevel fast multipole algorithm (MLFMA). With an efficient ... 
Efficient solution of the electric and magnetic current combined‐field integral equation with the multilevel fast multipole algorithm and block‐diagonal preconditioning
(WileyBlackwell Publishing, Inc., 200912)We consider the efficient solution of electromagnetics problems involving dielectric and composite dielectricmetallic structures, formulated with the electric and magnetic current combinedfield integral equation (JMCFIE). ... 
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, ... 
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. ... 
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 ... 
Hybridizing physical optics with MLFMA for efficient scattering computations of threedimensional complex targets
(IEEE, 200907)The multilevel fast multipole algorithm (MLFMA) provides accurate and efficient solutions of electromagnetic scattering problems involving large and complicated structures. On the other hand, whenever applicable, accelerations ... 
Fast and accurate solutions of extremely large scattering problems involving threedimensional canonical and complicated objects
(IEEE, 200907)We present fast and accurate solutions of extremely large scattering problems involving threedimensional metallic objects discretized with hundreds of millions of unknowns. Solutions are performed by the multilevel fast ... 
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 ... 
Scalable parallelization of the sparseapproximateinverse (SAl) preconditioner for the solution of largescale integralequation problems
(IEEE, 200906)In this paper, we consider efficient parallelization of the sparse approximate inverse (SAI) preconditioner in the context of the multilevel fast multipole algorithm (MLFMA). Then, we report the use of SAI in the solution ... 
Solutions of electromagnetics problems involving hundreds of millions of unknowns with parallel multilevel fast multipole algorithmt
(IEEE, 200906)We present the solution of extremely large electromagnetics problems formulated with surface integral equations (SIEs) and discretized with hundreds of millions of unknowns. Scattering and radiation problems involving ... 
Preconditioned MLFMA solution of multiple dielectricmetallic composite objects with the electric and magnetic current combinedfield integral equation (JMCFIE)
(IEEE, 200906)We consider fast and accurate solutions of scattering problems involving multiple dielectric and composite dielectricmetallic structures with threedimensional arbitrary shapes. Problems are formulated rigorously with the ... 
On the errors arising in surface integral equations due to the discretization of the identity operator
(IEEE, 2009)Surface integral equations (SIEs) are commonly used to formulate scattering and radiation problems involving threedimensional metallic and homogeneous dielectric objects with arbitrary shapes. For numerical solutions, ... 
Fast and accurate analysis of complicated metamaterial structures using a lowfrequency multilevel fast multipole algorithm
(200909)We present efficient solutions of electromagnetics problems involving realistic metamaterial structures using a lowfrequency multilevel fast multipole algorithm (LFMLFMA). Ordinary implementations of MLFMA based on the ... 
Rigorous solutions of largescale scattering problems discretized with hundreds of millions of unknowns
(200909)We present fast and accurate solutions of largescale scattering problems using a parallel implementation of the multilevel fast multipole algorithm (MLFMA). By employing a hierarchical partitioning strategy, MLFMA can be ... 
Rigorous solutions of scattering problems involving red blood cells
(IEEE, 2010)We present rigorous solutions of scattering problems involving healthy red blood cells (RBCs) and diseased RBCs with deformed shapes. Scattering crosssection (SCS) values for different RBC shapes and different orientations ... 
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 ... 
Preconditioning iterative MLFMA solutions of integral equations
(IEEE, 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 ... 
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 ...