Browsing by Keywords "Multilevel fast multipole algorithm (MLFMA)"
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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 ... 
Broadband analysis of multiscale electromagnetic problems: Novel incompleteleaf MLFMA for potential integral equations
(IEEE, 20210624)Recently introduced incomplete tree structures for the magneticfield integral equation are modified and used in conjunction with the mixedform multilevel fast multipole algorithm (MLFMA) to employ a novel broadband ... 
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 ... 
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 combinedfield integral equation with the parallel multilevel fast multipole algorithm
(IEEE, 200708)We present fast and accurate solutions of largescale scattering problems formulated with the combinedfield integral equation. Using the multilevel fast multipole algorithm (MLFMA) parallelized on a cluster of computers, ... 
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). ... 
Error analysis of MLFMA with closedform expressions
(IEEE, 20210406)The current stateoftheart error control of the multilevel fast multipole algorithm (MLFMA) is valid for any given error threshold at any frequency, but it requires a multipleprecision arithmetic framework to be ... 
Fast and accurate solutions of scattering problems involving dielectric objects with moderate and low contrasts
(IEEE, 200708)We consider the solution of electromagnetic scattering problems involving relatively large dielectric objects with moderate and low contrasts. Threedimensional objects are discretized with RaoWiltonGlisson functions and ... 
Incompleteleaf multilevel fast multipole algorithm for multiscale penetrable objects formulated with volume integral equations
(Institute of Electrical and Electronics Engineers Inc., 2017)Recently introduced incompleteleaf (IL) tree structures for multilevel fast multipole algorithm (referred to as ILMLFMA) is proposed for the analysis of multiscale inhomogeneous penetrable objects, in which there are ... 
Iterative nearfield preconditioner for the multilevel fast multipole algorithm
(Society for Industrial and Applied Mathematics, 20100706)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 ... 
MLFMA solutions of transmission problems Involving realistic metamaterial walls
(IEEE, 200708)We present the solution of multilayer metamaterial (MM) structures containing large numbers of unit cells, such as splitring resonators. Integralequation formulations of scattering problems are solved iteratively by ... 
Parallel preconditioners for solutions of dense linear systems with tens of millions of unknowns
(200711)We propose novel parallel preconditioning schemes for the iterative solution of integral equation methods. In particular, we try to improve convergence rate of the illconditioned linear systems formulated by the electricfield ... 
POMLFMA hybrid technique for the solution of electromagnetic scattering problems involving complex targets
(Institution of Engineering and Technology, 2007)The multilevel fast multipole algorithm (MLFMA) is a powerful tool for efficient and accurate solutions of electromagnetic scattering problems involving large and complicated structures. On the other hand, it is still ... 
Solution of extremely large integralequation problems
(IEEE, 2007)We report the solution of extremely large integralequation problems involving electromagnetic scattering from conducting bodies. By orchestrating diverse activities, such as the multilevel fast multipole algorithm, iterative ... 
Solution of largescale scattering problems with the multilevel fast multipole algorithm parallelized on distributedmemory architectures
(IEEE, 2007)We present the solution of largescale scattering problems involving threedimensional closed conducting objects with arbitrary shapes. With an efficient parallelization of the multilevel fast multipole algorithm on ... 
Stabilization of integralequation formulations for the accurate solution of scattering problems involving lowcontrast dielectric objects
(Institute of Electrical and Electronics Engineers, 2008)The solution of scattering problems involving lowcontrast dielectric objects with threedimensional arbitrary shapes is considered. Using the traditional forms of the surface integral equations, scattered fields cannot ... 
Twostep lagrange interpolation method for the multilevel fast multipole algorithm
(Institute of Electrical and Electronics Engineers, 2009)We present a twostep Lagrange interpolation method for the efficient solution of largescale electromagnetics problems with the multilevel fast multipole algorithm (MLFMA). Local interpolations are required during aggregation ...