Browsing by Keywords "MLFMA"
Now showing items 1-14 of 14
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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 matrix-vector ... -
An effective preconditioner based on schur complement reduction for integral-equation formulations of dielectric problems
(IEEE, 2009)The author consider effective preconditioning of recently proposed two integral-equation formulations for dielectrics; the combined tangential formulation (CTF) and the electric and magnetic current combined-field integral ... -
Fast and accurate solutions of large-scale scattering problems with parallel multilevel fast multipole algorithm
(IEEE, 2007)Fast and accurate solution of large-scale scattering problems obtained by integral-equation 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 large-scale scattering problems
(IEEE, 2008-07)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- ring-resonators (SRRs) and thin wires (TWs). We employ electric-field integral equation (EFIE) to formulate the scattering problems ... -
Iterative solution of the normal-equations form of the electric-field 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 least-squares 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 dielectric-metallic composite objects with the electric and magnetic current combined-field integral equation (JMCFIE)
(IEEE, 2009-06)We consider fast and accurate solutions of scattering problems involving multiple dielectric and composite dielectric-metallic structures with three-dimensional arbitrary shapes. Problems are formulated rigorously with the ... -
Scalable parallelization of the sparse-approximate-inverse (SAl) preconditioner for the solution of large-scale integral-equation problems
(IEEE, 2009-06)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 large-scale integral-equation problems
(IEEE, 2007)For efficient solutions of integral-equation 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 large-scale electromagnetic problems with MLFMA on Single-GPU systems
(Bilkent University, 2022-01)Advancements in computer technology introduce many new hardware infrastructures with high-performance 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, 2009-06)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 D-type volume integral equations in electromagnetic scattering problems
(Bilkent University, 2022-08)The Multilevel Fast Multipole Algorithm (MLFMA) is a state of the art com-putational method that requires O(NlogN) memory and computational complex-ity for N unknowns. Despite the low memory and computational complexity, ... -
Trimmed multilevel fast multipole algorithm for D-type volume ıntegral equations
(Institute of Electrical and Electronics Engineers, 2022-09-21)In this work, we present a trimming scheme for the multilevel tree structure of multilevel fast multipole algorithm (MLFMA), which is applied on D-type volume integral equations. With this approach, the number of iterations ...
