Browsing by Keywords "Multilevel fast multipole algorithm"
Now showing items 1-20 of 27
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Accurate solutions of scattering problems involving low-contrast dielectric objects with surface integral equations
(Institution of Engineering and Technology, 2007)We present the stabilization of the surface integral equations for accurate solutions of scattering problems involving low-contrast dielectric objects. Unlike volume formulations, conventional surface formulations fail to ... -
A broadband multilevel fast multipole algorithm with incomplete-leaf tree structures for multiscale electromagnetic problems
(IEEE, 2016)An efficient, broadband, and accurate multilevel fast multipole algorithm (MLFMA) is proposed to solve a wide range of multiscale electromagnetic problems with orders of magnitude differences in the mesh sizes. Given a ... -
Circular arrays of log-periodic antennas for broadband applications
(IEEE, 2006)Circular arrays of log-periodic (LP) antennas are designed for broadband applications. A sophisticated electromagnetic simulation environment involving integral equations and fast solvers is developed to analyze the LP ... -
Comparisons of FMM implementations employing different formulations and iterative solvers
(IEEE, 2003-06)The implementation of multi-level fast multipole algorithm (MLFMA) requires the consideration of several parameters. The preferred combination of the parameters given is not trivially obvious and requires a careful ... -
Computational study of scattering from healthy and diseased red blood cells
(Society of Photo Optical Instrumentation Engineers, 2010-08-05)We present a comparative study of scattering from healthy red blood cells (RBCs) and diseased RBCs with deformed shapes. Scattering problems involving three-dimensional RBCs are formulated accurately with the electric and ... -
Efficient parallelization of the multilevel fast multipole algorithm for the solution of large-scale scattering problems
(IEEE, 2006)We report our efforts for the solution of large electromagnetics problems accurately and efficiently with the parallel multilevel fast multipole algorithm. We carefully investigate different stages of the parallelization ... -
Efficient solution of the electric-field integral equation using the iterative LSQR algorithm
(Institute of Electrical and Electronics Engineers, 2008)In this letter, we consider iterative solutions of the three-dimensional electromagnetic scattering problems formulated by surface integral equations. We show that solutions of the electric-field integral equation (EFIE) ... -
Electromagnetic modeling of split-ring resonators
(IEEE, 2007)In this paper, we report our efforts to model splitring resonators (SRRs) and their large arrays accurately and efficiently in a sophisticated simulation environment based on recent advances in the computational electromagnetics. ... -
Enhancing the accuracy of the interpolations and anterpolations in MLFMA
(Institute of Electrical and Electronics Engineers, 2006)We present an efficient technique to reduce the interpolation and anterpolation (transpose interpolation) errors in the aggregation and disaggregation processes of the multilevel fast multipole algorithm (MLFMA), which is ... -
Error control in MLFMA with multiple-precision arithmetic
(Institution of Engineering and Technology, 2018-04)We present a new error control method that provides the truncation numbers as well as the required digits of machine precision for the translation operator of the multilevel fast multipole algorithm (MLFMA). The proposed ... -
Extending the applicability of the combined-field integral equation to geometries containing open surfaces
(Institute of Electrical and Electronics Engineers, 2006)In this letter, we consider the solution of large electromagnetics problems of composite structures with coexisting open and closed conductors. By modifying the construction of the combined-field integral equation (CFIE), ... -
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 ... -
A hierarchical partitioning strategy for an efficient parallelization of the multilevel fast multipole algorithm
(IEEE, 2009)We present a novel hierarchical partitioning strategy for the efficient parallelization of the multilevel fast multipole algorithm (MLFMA) on distributed-memory architectures to solve large-scale problems in electromagnetics. ... -
Incomplete LU preconditioning with the multilevel fast multipole algorithm for electromagnetic scattering
(Society for Industrial and Applied Mathematics, 2007)Iterative solution of large-scale scattering problems in computational electromagnetics with the multilevel fast multipole algorithm (MLFMA) requires strong preconditioners, especially for the electric-field integral ... -
Iterative solution of composite problems with the combined-field integral equation
(IEEE, 2007)We consider the solution of electromagnetic problems related to microwave applications involving composite geometries with coexisting open and closed conductors. Combined-field integral equation is introduced on the closed ... -
Iterative solutions of hybrid integral equations for coexisting open and closed surfaces
(IEEE, 2009)We consider electromagnetics problems involving composite geometries with coexisting open and closed conductors. Hybrid integral equations are presented to improve the efficiency of the solutions, compared to the conventional ... -
Large-scale solutions of electromagnetics problems using the multilevel fast multipole algorithm and physical optics
(Bilkent University, 2015-04)Integral equations provide full-wave (accurate) solutions of Helmholtz-type electromagnetics problems. The multilevel fast multipole algorithm (MLFMA) discretizes the equations and solves them numerically with O(NLogN) ... -
Linear-linear basis functions for MLFMA solutions of magnetic-field and combined-field integral equations
(Institute of Electrical and Electronics Engineers, 2007)We present the linear-linear (LL) basis functions to improve the accuracy of the magnetic-field integral equation (MFIE) and the combined-field integral equation (CFIE) for three-dimensional electromagnetic scattering ... -
Multiple-precision MLFMA for efficient and accurate solutions of broadband electromagnetic problems
(Bilkent University, 2020-08)The multilevel fast multipole algorithm (MLFMA) is a popular full-wave electromagnetic solver that enables the solution of electrically large problems with an extremely large number of unknowns. As with all computational ... -
Novel electromagnetic surface integral equations for highly accurate computations of dielectric bodies with arbitrarily low contrasts
(Journal of Computational Physics, 2008)We present a novel stabilization procedure for accurate surface formulations of electromagnetic scattering problems involving three-dimensional dielectric objects with arbitrarily low contrasts. Conventional surface integral ...
