Browsing by Keywords "Multilevel fast multipole algorithm"
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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 ... 
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 ... 
Analysis of photoniccrystal problems with MLFMA and approximate Schur preconditioners
(2009)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 ... 
Broadband Multilevel Fast Multipole Algorithm for LargeScale Problems With Nonuniform Discretizations
(Institute of Electrical and Electronics Engineers Inc., 2016)We present a broadband implementation of the multilevel fast multipole algorithm (MLFMA) for fast and accurate solutions of multiscale problems involving highly nonuniform discretizations. Incomplete tree structures, which ... 
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 solutions of metamaterial problems using a lowfrequency multilevel fast multipole algorithm
(2010)We present fast and accurate solutions of electromagnetics problems involving realistic metamaterial structures using a lowfrequency multilevel fast multipole algorithm (LFMLFMA). Accelerating iterative solutions using ... 
Efficient surface integral equation methods for the analysis of complex metamaterial structures
(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. ... 
Fast and accurate analysis of complicated metamaterial structures using a lowfrequency multilevel fast multipole algorithm
(2009)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 ... 
Fast and accurate analysis of large metamaterial structures using the multilevel fast multipole algorithm
(2009)We report fast and accurate simulations of metamaterial structures constructed with large numbers of unit cells containing splitring resonators and thin wires. Scattering problems involving various metamaterial walls are ... 
Fast and accurate analysis of largescale composite structures with the parallel multilevel fast multipole algorithm
(Optical Society of America, 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 ... 
Fast and accurate analysis of optical metamaterials using surface integral equations and the parallel multilevel fast multipole algorithm
(2013)We present fast and accurate simulations of optical metamaterials using surface integral equations and the multilevel fast multipole algorithm (MLFMA). Problems are formulated with the electric and magnetic current ... 
Fast and accurate solutions of extremely large scattering problems involving threedimensional canonical and complicated objects
(2009)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 ... 
Fast solution of electromagnetic scattering problems with multiple excitations using the recompressed adaptive cross approximation
(Institute of Electrical and Electronics Engineers Inc., 2014)We present an algebraic compression technique to accelerate the computation of multiple monostatic radar cross sections of arbitrary 3D geometries. The method uses adaptive cross approximation, followed by a recompression ... 
Improving iterative solutions of the electricfield integral equation via transformations into normal equations
(Taylor and Francis, 20120403)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 solution of dielectric waveguide problems via schur complement preconditioners
(2010)Surface integralequation methods accelerated with the multilevel fast multipole algorithm provide suitable mechanisms for the solution of dielectric problems. In particular, recently developed formulations increase the ... 
MLFMA memory reduction techniques for solving largescale problems
(Institute of Electrical and Electronics Engineers Inc., 2014)We present two memory reduction methods for the parallel multilevel fast multipole algorithm. One of these methods uses data structures out of core, and the other parallelizes the data structures related to input geometry. ... 
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 ... 
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 ... 
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 ...