Computational Electromagnetics Research Center
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, ... 
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, 200901)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 ... 
Rigorous solutions of scattering problems involving red blood cells
(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
(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
(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
(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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
Schur complement preconditioners for surface integralequation formulations of dielectric problems solved with the multilevel fast multipole algorithm
(Society for Industrial and Applied Mathematics, 20111004)Surface integralequation methods accelerated with the multilevel fast multipole algorithm (MLFMA) provide a suitable mechanism for electromagnetic analysis of reallife dielectric problems. Unlike the perfectelectricconductor ... 
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 ... 
Windowed equivalence principle for open surfaces
(2013)We introduce a modified current expansion scheme over open surfaces based on the equivalence theorem, which employs closed surfaces, in principle. Weighting the expansion coefficients with a suitable window function ...