Browsing by Keywords "MLFMA"
Now showing items 114 of 14

Approximate MLFMA as an efficient preconditioner
(IEEE, 2007)In this work, we propose a preconditioner that approximates the dense system operator. For this purpose, we develop an approximate multilevel fast multipole algorithm (AMLFMA), which performs a much faster matrixvector ... 
An effective preconditioner based on schur complement reduction for integralequation formulations of dielectric problems
(IEEE, 2009)The author consider effective preconditioning of recently proposed two integralequation formulations for dielectrics; the combined tangential formulation (CTF) and the electric and magnetic current combinedfield integral ... 
Fast and accurate solutions of largescale scattering problems with parallel multilevel fast multipole algorithm
(IEEE, 2007)Fast and accurate solution of largescale scattering problems obtained by integralequation formulations for conducting surfaces is considered in this paper. By employing a parallel implementation of the multilevel fast ... 
Hierarchical parallelization of the multilevel fast multipole algorithm for the efficient solution of largescale scattering problems
(IEEE, 200807)We present the details of a hierarchical parallelization strategy, which provides higher efficiency than the previous parallelization approaches for MLFMA. We demonstrate the effectiveness of our algorithm on sphere problems ... 
Investigation of various metamaterial structures using multilevel fast multipole algorithm
(IEEE, 2007)We consider accurate simulations of metamaterial (MM) structures consisting of split ringresonators (SRRs) and thin wires (TWs). We employ electricfield integral equation (EFIE) to formulate the scattering problems ... 
Iterative solution of the normalequations form of the electricfield integral equation
(IEEE, 2007)In this paper, we show that transforming the original equations into normal equations improves the convergence of EFIE significantly. We present the solutions of EFIE by employing the leastsquares QR (LSQR) algorithm, ... 
On the Lagrange interpolation in multilevel fast multipole algorithm
(IEEE, 2006)We consider the Lagrange interpolation employed in the multilevel fast multipole algorithm (MLFMA) as part of our efforts to obtain faster and more efficient solutions for large problems of computational electromagnetics. ... 
Preconditioned MLFMA solution of multiple dielectricmetallic composite objects with the electric and magnetic current combinedfield integral equation (JMCFIE)
(IEEE, 200906)We consider fast and accurate solutions of scattering problems involving multiple dielectric and composite dielectricmetallic structures with threedimensional arbitrary shapes. Problems are formulated rigorously with the ... 
Scalable parallelization of the sparseapproximateinverse (SAl) preconditioner for the solution of largescale integralequation problems
(IEEE, 200906)In this paper, we consider efficient parallelization of the sparse approximate inverse (SAI) preconditioner in the context of the multilevel fast multipole algorithm (MLFMA). Then, we report the use of SAI in the solution ... 
Sequential and parallel preconditioners for largescale integralequation problems
(IEEE, 2007)For efficient solutions of integralequation methods via the multilevel fast multipole algorithm (MLFMA), effective preconditioners are required. In this paper we review appropriate preconditioners that have been used for ... 
The solution of largescale electromagnetic problems with MLFMA on SingleGPU systems
(Bilkent University, 202201)Advancements in computer technology introduce many new hardware infrastructures with highperformance processing powers. In recent years, the graphics processing unit (GPU) has been one of the popular choices that have ... 
Solutions of electromagnetics problems involving hundreds of millions of unknowns with parallel multilevel fast multipole algorithmt
(IEEE, 200906)We present the solution of extremely large electromagnetics problems formulated with surface integral equations (SIEs) and discretized with hundreds of millions of unknowns. Scattering and radiation problems involving ... 
Trimmed multilevel fast multipole algorithm for Dtype volume integral equations in electromagnetic scattering problems
(Bilkent University, 202208)The Multilevel Fast Multipole Algorithm (MLFMA) is a state of the art computational method that requires O(NlogN) memory and computational complexity for N unknowns. Despite the low memory and computational complexity, ... 
Trimmed multilevel fast multipole algorithm for Dtype volume ıntegral equations
(Institute of Electrical and Electronics Engineers, 20220921)In this work, we present a trimming scheme for the multilevel tree structure of multilevel fast multipole algorithm (MLFMA), which is applied on Dtype volume integral equations. With this approach, the number of iterations ...