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检索条件"主题词=Multilevel Fast Multipole Algorithm"

共 125 条记录，以下是101-110 订阅

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Rapid Optimization of Dielectric Rod Arrays for Microwave Radiation Shaping Applications

Rapid Optimization of Dielectric Rod Arrays for Microwave Ra...

引用

IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO)

作者： Yazar, Sirin Hatipoglu, M. Enes Eris, Ozgur Ergul, Ozgur Dikmen, Fatih Middle East Tech Univ Dept Elect & Elect Engn TR-06800 Ankara Turkiye Gebze Tech Univ Elect Engn Dept TR-41400 Gebze Kocaeli Turkiye ASELSAN Res Ctr TR-06200 Ankara Turkiye

ISBN: (纸本)9798350347401

Well-designed arrangements of arrays of circular lossy dielectric rods with finite lengths have been exploited to obtain proper radiation patterns for microwave applications. Accelerated three-dimensional (3D) numerical modeling of such radiation mechanisms via the multilevel fast multipole algorithm (MLFMA) is suitable for well-matched results with real-life experiments. Enabling rigorous and accurate analyses of the corresponding problems, MLFMA, has been observed to provide quasi-optimal designs within a reasonable period of time, when this algorithm is efficiently combined with genetic algorithms (GAs). However, as shown in this contribution, the corresponding two-dimensional (2D) multiple scattering modeling via a well-conditioned version of the T-matrix method provides a much faster tool for GAs to optimize radiation patterns for a goal set on the central cross section plane of the rod arrays. Optimized geometries obtained using a combination of the 2D solver and GAs have been validated by using a 3D solver based on MLFMA to demonstrate the feasibility of the approach.

关键词： Genetic algorithms T-matrix method multilevel fast multipole algorithm microwave applications

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Solving 3-D electromagnetic scattering from conducting object by MLFMA with curvilinear RWG basis 6

Solving 3-D electromagnetic scattering from conducting objec...

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6th International Symposium on Antennas, Propagation and EM Theory

作者： Hu, J Nie, ZP Lin, L Univ Elect Sci & Technol China Dept Microwave Engn Chengdu 610054 Peoples R China

ISBN: (纸本)0780378318

In this paper, multilevel fast multipole algorithm (MLFMA) with curvilinear RWG basis is used to realize fast, accurate solution of electromagnetic scattering from 3-D conducting object. This method needs much less unknowns than traditional RWG basis and conformal rooftop basis. is especially appropriate for efficient solution of scattering from target with large electrical sizes. Numerical results are given to demonstrate the validity mid efficiency of the present method.

关键词： electromagnetic scattering multilevel fast multipole algorithm curvilinear RWG (CRWG) basis

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Parallel discontinuous Galerkin surface integral equation method for solving large and complex PEC scattering problems

Parallel discontinuous Galerkin surface integral equation me...

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IEEE-MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO)

作者： Du Yulin Huang Xiaowei Yang Minglin Sheng Xinqing Beijing Inst Technol Sch Informat & Elect Beijing Peoples R China

ISBN: (数字)9781728169668

ISBN: (纸本)9781728169668

We present flexible and efficient solutions of large-scale scattering problems involving three-dimensional conductors with arbitrary shapes using the parallel discontinuous Galerkin (DG) surface integral equation (SIE) method. The use of DG domain decomposition framework allows conformal as well as nonconformal surface discretizations of the targets thus brings significant flexibility in the meshing. The coefficient of the interior penalty term of the conventional DG is specially set to avoid extra treatment on the contour boundary to further improve its flexibility. To reduce the number of iterations required for the solutions, two types of preconditioners are applied by using the near-field matrix of the whole region. The well-scaling ternary parallelization approach of the multilevel fast multipole algorithm (MLFMA) is employed for solving problems involving over billions of unknowns. Numerical results are included to validate the accuracy and demonstrate the versatility of the proposed method. In addition, we present the effectiveness of our algorithm by solving a complicated aircraft mode with inlets involving 624 million unknowns.

关键词： Discontinuous Galerkin surface integral equation multilevel fast multipole algorithm parallelization large-scale scattering problems

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Homogenization of Microwave Metamaterial Structures Using Full-Wave Solutions and Genetic algorithms 18

Homogenization of Microwave Metamaterial Structures Using Fu...

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18th Mediterranean Microwave Symposium (MMS)

作者： Ibili, Hande Karaosmanoglu, Bariscan Ergul, Ozgur Middle East Tech Univ Dept Elect & Elect Engn Ankara Turkey

ISBN: (纸本)9781538671320

Metamaterials involve small details that create challenges in their numerical analysis. As commonly practiced, homogenization of such complex structures may simplify and facilitate their numerical solutions. However, homogenization should be performed carefully to avoid excessive modeling errors, especially for finite structures. In this paper, we present accurate homogenization of three-dimensional metamaterials involving split-ring resonators (SRRs). Electromagnetic characteristics of finite SRR structures are found by rigorous optimization via genetic algorithms, while necessary numerical simulations are accurately performed by using the multilevel fast multipole algorithm. The results demonstrate the promising effectiveness of the approach for realistic metamaterial structures.

关键词： Metamaterials electromagnetic homogenization genetic algorithms split-ring resonators multilevel fast multipole algorithm

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A Broadband Electromagnetic Solver Based on Multiscale MLFMA and Hybrid Integral Equations 18

A Broadband Electromagnetic Solver Based on Multiscale MLFMA...

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18th Mediterranean Microwave Symposium (MMS)

作者： Karaosmanoglu, Bariscan Tonga, Muhammed Ergul, Ozgur Middle East Tech Univ Dept Elect & Elect Engn Ankara Turkey

ISBN: (纸本)9781538671320

We present a fully broadband solver for fast and accurate solutions of multiscale electromagnetic problems involving both coarse and fine details. The implementation is based on a multiscale multilevel fast multipole algorithm that employs low-frequency and high-frequency expansions at suitable levels of incomplete tree structures. In addition, hybrid integral equations are used to properly formulate scattering and radiation problems in the frequency domain. Numerical results demonstrate the superior accuracy, efficiency, and stability of the implementation when solving challenging problems that cannot be handled via traditional methods.

关键词： Multiscale problems broadband solvers surface integral equations multilevel fast multipole algorithm

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Domain Decomposition Methods for EMC/EMI Modeling: Antenna Placements on a Large Air Platform

Domain Decomposition Methods for EMC/EMI Modeling: Antenna P...

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IEEE International Conference on Microwaves, Communications, Antennas and Electronic Systems (COMCAS)

作者： Peng, Z. Wang, X. Wang, J. Lee, J. F. Ohio State Univ Electrosci Lab Dept Elect & Comp Engn Columbus OH 43212 USA

ISBN: (纸本)9781457716928

We apply a recently developed multi-solver domain decomposition method (MS-DDM) to compute the antenna pattern of a S-band monopole antenna taking into account the couplings from the surrounding 23 other antennas, both in-band and out-of-band couplings, and the effects of the large air platform on which the S-band antenna is mounted. Since the air platform is electrically large and multi-scale in nature, the usual integral equation methods tax heavily on the computer resources and maybe even fail to converge when iterative Krylov matrix solution technique is employed. To provide a converging integral equation approach for modeling the air platform, we further apply the integral equation domain decomposition method (IE-DDM) as an effective preconditioner for the resulting combined field integral equation (CFIE) method. The fundamental strategy of the proposed MS-DDM is to decompose the entire computational domain into many sub-regions based on the local material properties and geometrical features. Moreover, the coupling between well -separated sub-regions is implemented through Stratton-Chu representation formulas. However, for the touching interfaces between neighboring sub-regions, a Robin transmission condition is introduced to mitigate the troublesome self integral terms with weak singular kernels. Numerical results of the S-band monopole antenna mounted conformally on a mockup F-16 fighter jet, together with 23 other antennas, are shown to demonstrate the flexibility and potentials of the proposed hierarchical MS-DDM and IE-DDM approach. Antenna patterns of the S-band monopole antenna in free space as well as the results including all the couplings form the other antennas and the air platform are also presented.

关键词： Domain decomposition mutual coupling finite element methods integral equations multilevel fast multipole algorithm

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A Broadband Stable and Efficient Addition Theorem for the Two-Dimensional Helmholtz equation

A Broadband Stable and Efficient Addition Theorem for the Tw...

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2010 IEEE International Symposium Antennas and Propagation/CNC-USNC/URSI Radio Science Meeting

作者： Bogaert, I. De Zutter, D. Cools, K. Fostier, J. Michiels, B. Peeters, J. Univ Ghent Dept Informat Technol INTEC B-9000 Ghent Belgium

ISBN: (纸本)9781424449682

Boundary integral equations are the principal tools for efficiently simulating electromagnetic fields in structures with piecewise constant material parameters. A specific trait of boundary integral equations is that the Green function of the Helmholtz equation appears as the integration kernel. Hence, discretizing a boundary integral equation leads to a dense linear system. Many such acceleration schemes exist, for example the renowned multilevel fast multipole algorithm (MLFMA).The MLFMA is based on an addition theorem that decomposes the Green function into a superposition of propagating plane waves. This decomposition is then used to evaluate the interactions between entire groups of basis functions, in contrast to evaluating the interactions between all the individual basis functions. Unfortunately, the MLFMA addition theorem is numerically unstable when the groups become significantly smaller than the wavelength. This phenomenon is called the low-frequency breakdown of the MLFMA and prevents the efficient simulation of structures with a lot of subwavelength geometrical detail.

关键词： Green function Green's function methods Helmholtz equations MLFMA addition theorem boundary integral equations boundary integral equations broadband stable theorem computational electromagnetics dense linear system electromagnetic fields electromagnetic fields electromagnetic wave propagation integration integration kernel linear systems low-frequency breakdown multilevel fast multipole algorithm piecewise constant material parameters propagating plane waves subwavelength geometrical detail two-dimensional Helmholtz equation

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On the Complexity and Accuracy of MLFMA for 3D Electromagnetic Scattering

On the Complexity and Accuracy of MLFMA for 3D Electromagnet...

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2004 3rd International Conference on Computational Electromagnetics and Its Applications

作者： Hu Jun Nie Zaiping Lei Lin Men Ming Wen Jian Dept.of Microwave Engineering University of Electronic Science and Technology of China

ISBN: (纸本)0780385624

＜正＞As the fastest numerical solver for 3D electromagnetic scattering up to now,multilevel fast multipole algorithm（MLFMA） has the excellent *** computational complexity and the storage requirement is O（NlogN） and O（N） respectively,for a N unknowns *** a given object,MLFMA has different property and accuracy when the discretization density and the grouping technique of MLFMA *** paper investigates the computational complexity,the storage requirement and the accuracy of MLFMA in case of conducting sphere scattering in *** is shown a good property including the complexity and accuracy can be achieved when a suitable discretization density and the grouping size are chosen.

关键词： electromagnetic scattering multilevel fast multipole algorithm conjugate gradient computational complexity accuracy

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Solving Scattering from Conducting Structures with Slots by MLFMA based on Improved Electric Field Integral Equation

Solving Scattering from Conducting Structures with Slots by ...

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Asia Pacific Microwave Conference

作者： Lei, Lin Hu, Jun Nie, Zaiping Univ Elect Sci & Technol China Coll Elect Engn Chengdu 610054 Peoples R China

ISBN: (纸本)9781424407484

To further expedite solution of electromagnetic scattering from conducting structures with slots, a novel improved electric field integral equation (IEFIE) is developed to reduce the iteration time in multilevel fast multipole algorithm(MLFMA) By adding the principal value term of magnetic field integral equation (MFIE) operator on the both sides of the EFIE operator, a well-conditioned improved EFIE operator is constructed. To achieve a reasonable accuracy, only several update steps for the unknown current is required. Numerical results demonstrate the validity of the present method.

关键词： electromagnetic scattering electric field integral equation iterative methods multilevel fast multipole algorithm

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Near Interaction Preconditioner Using Overlapped Localizing Local Global Solution Modes

Near Interaction Preconditioner Using Overlapped Localizing ...

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2010 IEEE International Symposium Antennas and Propagation/CNC-USNC/URSI Radio Science Meeting

作者： Xu, Xin Luo, Chong Adams, Robert J. Univ Kentucky Lexington KY 40506 USA Alpha Omega Electromagnet LLC Arnold MD USA

ISBN: (纸本)9781424449682

multilevel fast multipole algorithm (MLFMA) has been widely used to expedite the iterative solution of the linear systems that arise from discretizing integral equations for electromagnetic applications. However, the slow convergence rate, or nonconvergence, of the iterative solver must be improved by either changing the underlying formulation or by using a good preconditioner. In this paper, we form an approximate inverse of the near interaction part of the system matrix and used it as a preconditioner to improve the convergence of an MLFMA based iterative solvers. The near interaction matrix is defined and filled by an existing MLFMA code, and it is factored and inverted using overlapped localizing local global solution modes (OL-LOGOS). Numerical results shows that the OL-LOGOS factored near interaction preconditioner is effective in improving the convergence rate.

关键词： convergence rate discretizing integral equations electromagnetic applications electromagnetic wave scattering iterative methods iterative solution linear systems multilevel fast multipole algorithm near interaction preconditioner overlapped localizing local global solution modes

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