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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
(2011)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 ... 
Comparison of integralequation formulations for the fast and accurate solution of scattering problems involving dielectric objects with the multilevel fast multipole algorithm
(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 study of scattering from healthy and diseased red blood cells
(2010)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
(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 ... 
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 ... 
Efficient solution of the electric and magnetic current combinedfield integral equation with the multilevel fast multipole algorithm and blockdiagonal preconditioning
(2009)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). ... 
Efficient solution of the electricfield integral equation using the iterative LSQR algorithm
(2008)In this letter, we consider iterative solutions of the threedimensional electromagnetic scattering problems formulated by surface integral equations. We show that solutions of the electricfield integral equation (EFIE) ... 
Fast and accurate analysis of largescale composite structures with the parallel multilevel fast multipole algorithm
(OSA  The Optical Society, 2013)Accurate electromagnetic modeling of complicated optical structures poses several challenges. Optical metamaterial and plasmonic structures are composed of multiple coexisting dielectric and/or conducting parts. Such ... 
Hierarchical parallelisation strategy for multilevel fast multipole algorithm in computational electromagnetics
(2008)A hierarchical parallelisation of the multilevel fast multipole algorithm (MLFMA) for the efficient solution of largescale problems in computational electromagnetics is presented. The tree structure of MLFMA is distributed ... 
Hierarchical parallelization of the multilevel fast multipole algorithm (MLFMA)
(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 ... 
A hierarchical partitioning strategy for an efficient parallelization of the multilevel fast multipole algorithm
(2009)We present a novel hierarchical partitioning strategy for the efficient parallelization of the multilevel fast multipole algorithm (MLFMA) on distributedmemory architectures to solve largescale problems in electromagnetics. ... 
Improving iterative solutions of the electricfield integral equation via transformations into normal equations
(2010)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
(2010)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 ...