Computational Electromagnetics Research Center
Recent Submissions

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
(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
(2011)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
(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 ... 
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 ... 
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. ... 
Solution of lowfrequency electromagnetics problems using hierarchical matrices
(2013)Fast and accurate solutions of lowfrequency electromagnetics problems are obtained with an iterative solver based on hierarchical matrices. Iterative solvers require matrixvector multiplications (MVMs). The results show ... 
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 ... 
Solution of lowfrequency electromagnetics problems using hierarchical matrices
(2013)Fast and accurate solutions of lowfrequency electromagnetics problems are obtained with an iterative solver based on hierarchical matrices. Iterative solvers require matrixvector multiplications (MVMs). The results show ... 
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 ...