Browsing by Keywords "Multilevel fast multipole algorithm"
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Accurate solutions of scattering problems involving lowcontrast 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 lowcontrast dielectric objects. Unlike volume formulations, conventional surface formulations fail to ... 
A Broadband Multilevel Fast Multipole Algorithm with IncompleteLeaf Tree Structures for Multiscale Electromagnetic Problems
(Institute of Electrical and Electronics Engineers Inc., 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 logperiodic antennas for broadband applications
(2006)Circular arrays of logperiodic (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
(2003)The implementation of multilevel 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, 20100805)We present a comparative study of scattering from healthy red blood cells (RBCs) and diseased RBCs with deformed shapes. Scattering problems involving threedimensional RBCs are formulated accurately with the electric and ... 
Efficient parallelization of multilevel fast multipole algorithm
(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 electricfield integral equation using the iterative LSQR algorithm
(Institute of Electrical and Electronics Engineers, 2008)In this letter, we consider iterative solutions of the threedimensional electromagnetic scattering problems formulated by surface integral equations. We show that solutions of the electricfield integral equation (EFIE) ... 
Electromagnetic modeling of splitring 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 multipleprecision arithmetic
(Institution of Engineering and Technology, 2018)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 combinedfield 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 combinedfield integral equation (CFIE), ... 
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 distributedmemory architectures to solve largescale 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 largescale scattering problems in computational electromagnetics with the multilevel fast multipole algorithm (MLFMA) requires strong preconditioners, especially for the electricfield integral ... 
Iterative solution of composite problems with the combinedfield integral equation
(2007)We consider the solution of electromagnetic problems related to microwave applications involving composite geometries with coexisting open and closed conductors. Combinedfield 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 ... 
Largescale solutions of electromagnetics problems using the multilevel fast multipole algorithm and physical optics
(Bilkent University, 201504)Integral equations provide fullwave (accurate) solutions of Helmholtztype electromagnetics problems. The multilevel fast multipole algorithm (MLFMA) discretizes the equations and solves them numerically with O(NLogN) ... 
Linearlinear basis functions for MLFMA solutions of magneticfield and combinedfield integral equations
(Institute of Electrical and Electronics Engineers, 2007)We present the linearlinear (LL) basis functions to improve the accuracy of the magneticfield integral equation (MFIE) and the combinedfield integral equation (CFIE) for threedimensional electromagnetic scattering ... 
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 threedimensional dielectric objects with arbitrarily low contrasts. Conventional surface integral ... 
On the accuracy of MFIE and CFIE in the solution of large electromagnetic scattering problems
(2006)We present the linearlinear (LL) basis functions to improve the accuracy of the magneticfield integral equation (MFIE) and the combinedfield integral equation (CFIE) for threedimensional electromagnetic scattering ... 
Optimal interpolation of translation operator in multilevel fast multipole algorithm
(Institute of Electrical and Electronics Engineers, 2006)Lagrange interpolation of the translation operator in the threedimensional multilevel fast multipole algorithm (MLFMA) is revisited. Parameters of the interpolation, namely, the number of interpolation points and the ...