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An Accurate and Efficient Finite Element-Boundary Integral Method With GPU Acceleration for 3-D Electromagnetic Analysis

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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 2014年第12期62卷 6325-6336页

作者： Guan, Jian Yan, Su Jin, Jian-Ming Univ Illinois Ctr Computat Electromagnet Dept Elect & Comp Engn Urbana IL 61801 USA

An accurate and efficient finite element-boundary integral (FE-BI) method with graphics processing unit (GPU) acceleration is presented for solving electromagnetic problems with complex structures and materials. A mixed testing scheme, in which the Rao-Wilton-Glisson and the Buffa-Christiansen functions are both employed as the testing functions, is first presented to improve the accuracy of the FE-BI method. An efficient absorbing boundary condition (ABC)-based preconditioner is then proposed to accelerate the convergence of the iterative solution. To further improve the efficiency of the total computation, a GPU-accelerated multilevel fast multipole algorithm (MLFMA) is applied to the iterative solution. The radar cross sections (RCS) of several benchmark objects are calculated to demonstrate the numerical accuracy of the solution and also to show that the proposed method not only is free of interior resonance corruption, but also has a better convergence than the conventional FE-BI methods. The capability and efficiency of the proposed method are analyzed through several numerical examples, including a large dielectric coated sphere, a partial human body, and a coated missile-like object. Compared with the 8-threaded CPU-based algorithm, the GPU-accelerated FE-BI-MLFMA algorithm can achieve a total speedup up to 25.5 times.

关键词： Buffa-Christiansen function finite element-boundary integral (FE-BI) GPU acceleration interior resonance mixed testing scheme multilevel fast multipole algorithm preconditioner radar cross section

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Efficient computation of the reduced matrix of MLFMA-CBFM for electrically large blocks

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IET MICROWAVES ANTENNAS & PROPAGATION 2020年第6期14卷 539-546页

作者： Garcia, Eliseo Lozano, Lorena Delgado, Carlos Catedra, Felipe Univ Alcala Automat Dept Alcala De Henares Spain Univ Alcala Comp Sci Dept Alcala De Henares Spain

In recent years, the characteristic basis function method has been developed as an efficient approach for the solution of large electromagnetic radiation or scattering problems. According to this technique, the currents over the scenario under analysis are defined using a set of pre-computed characteristic basis functions, associated with a number of blocks into which the geometry is partitioned. This involves some computational advantages due to the reduction of the number of unknowns compared to conventional approaches. However, additional pre-processing time is introduced due to the computation of the CBFs and the reduced coupling matrix. A novel strategy is presented in this study in order to accelerate the generation of the reduced matrix, based on the application of the multilevel fast multipole algorithm.

关键词： computational electromagnetics matrix algebra electromagnetic wave scattering computational geometry electrically large blocks characteristic basis function method electromagnetic radiation preprocessing time reduced coupling matrix precomputed characteristic basis functions MLFMA-CBFM electromagnetic scattering problem geometry multilevel fast multipole algorithm

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Iterative Solutions of Hybrid Integral Equations for Coexisting Open and Closed Surfaces

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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 2009年第6期57卷 1751-1758页

作者： Erguel, Oezguer Guerel, Levent Bilkent Univ Computat Electromagnet Res Ctr BiLCEM TR-06800 Ankara Turkey Bilkent Univ Dept Elect & Elect Engn TR-06800 Ankara Turkey

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 electric-field integral equation. We investigate the convergence characteristics of iterative solutions of large composite problems with the multilevel fast multipole algorithm. Following a thorough study of how the convergence characteristics depends on the problem geometry, formulation, and iterative solvers, we provide concrete guidelines for efficient solutions.

关键词： Hybrid formulations iterative methods multilevel fast multipole algorithm surface integral equations

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Research on Electromagnetic Scattering Characteristics of Combined Conducting and Dielectric Target Above Coastal Environment

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IEEE ACCESS 2020年 8卷 169286-169303页

作者： Zou, Gao Xiang Tong, Chuangming Sun, Hua Long Peng, Peng Air Force Engn Univ Air & Missile Def Coll Xian 710051 Peoples R China

The electromagnetic (EM) scattering characteristics of target above coastal environment are complicated due to the simultaneous existence of ground region and sea region. Nevertheless, the actual target possesses both conducting part and dielectric part. Such a composite scattering problem involves multiple media parameters and large amount of unknowns. Hence, aiming at accurately and efficiently calculating the EM scattering from combined conducting and dielectric target above coastal environment, the hybrid SIE-KA method is introduced in which single integral equation (SIE) method is utilized to reduce the number of combined target's unknowns and Kirchhoff approximation (KA) is applied to obtain induced electric and magnetic current on the surface of coastal environment. Moreover, multilevel fast multipole algorithm (MLFMA) is adopted to significantly reduce the computational cost and memory requirement. Several numerical examples demonstrate the accuracy and efficiency of the hybrid method. Finally, the EM scattering characteristics of combined conducting and dielectric target above coastal environment have been studied. The radar cross section (RCS) curves with different category of environment, polarization mode, working frequency, statistic parameters of coastal environment, permittivity of target's dielectric part, target's height and target category have been analyzed in detail to provide some useful conclusions. The approach and results can be broadly applied in remote sensing simulation of coastal environment with combined target.

关键词： Scattering Sea measurements Sea surface Dielectrics Rough surfaces Surface roughness Land surface Coastal environment electromagnetic scattering Kirchhoff approximation single integral equation multilevel fast multipole algorithm combined conducting and dielectric target

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Analysis of Electromagnetic Scattering Problems by Means of a VSIE-ODDM-MLFMA Method

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APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL 2012年第8期27卷 660-667页

作者： Chen, Jialin Li, Shangsheng Song, Yaping Naval Aeronaut Engn Inst Dept Elect & Commun Engn Yantai 2640017 Japan 91919th Unit PLA Huanggang 438021 Peoples R China

The hybrid volume-surface integral equation (VSIE) method has the advantage of solving electromagnetic scattering problems involving complex structure mixed metal with dielectric. In this paper, a method combining VSIE with overlapped domain decomposition method (ODDM) is used to analyze electromagnetic scattering problems successfully. To further improve efficiency, the multilevel fast multipole algorithm (MLFMA) is adopted, then a novel VSIE-ODDM-MLFMA is proposed. Numerical results show that the proposed method has low memory requirement, fast convergence, and accurate simulation result. It indicates that the proposed method has the ability to analyze complicated electromagnetic problems.

关键词： volume-surface integral equation electromagnetic scattering overlapped domain decomposition method multilevel fast multipole algorithm

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A short survey on preconditioning techniques for large-scale dense complex linear systems in electromagnetics

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INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 2007年第8期84卷 1211-1223页

作者： Wang, Yin Lee, Jeonghwa Zhang, Jun Univ Kentucky Dept Comp Sci Lab High Performance Sci Comp & Comp Simulat Lexington KY 40506 USA Shippensburg Univ Dept Comp Sci Shippensburg PA 17257 USA

In solving systems of linear equations arising from practical scientific and engineering modelling and simulations such as electromagnetics applications, it is important to choose a fast and robust solver. Due to the large scale of those problems, preconditioned Krylov subspace methods are most suitable. In electromagnetics simulations, the use of preconditioned Krylov subspace methods in the context of multilevel fast multipole algorithms (MLFMA) is particularly attractive. In this paper, we present a short survey of a few preconditioning techniques in this application. We also compare several preconditioning techniques combined with the Krylov subspace methods to solve large dense linear systems arising from electromagnetic scattering problems and present some numerical results.

关键词： dense matrices electromagnetics integral formulation multilevel fast multipole algorithm preconditioning techniques

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Calculation and Optimization of 3D Waveguiding System with Help of Integral Equation Method

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JOURNAL OF INFRARED MILLIMETER AND TERAHERTZ WAVES 2009年第4期30卷 319-327页

作者： Gashturi, A. P. Denisov, G. G. Mishakin, S. V. Samsonov, S. V. Russian Acad Sci Inst Appl Phys Nizhnii Novgorod 603950 Russia

For 3d waveguiding system calculations we used the Electric Field Integral Equation (EFIE) model, applied to infinitely thin, perfectly conducting waveguide surfaces. The solution represents induced current, from which the field in the device is obtained. With the help of this method an asymmetric mode converter TE01-TE11 was simulated and optimized for maximum efficiency. We have also studied a helically corrugated structure, which is used in pulse compressors, and analyzed the structures dispersion curves and compared it with measurement results.

关键词： Electric field integral equation multilevel fast multipole algorithm Multi-mode waveguide

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Two-level preconditioning technique based on sparse recursive Cholesky factorization for fast monostatic RCS computation

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MICROWAVE AND OPTICAL TECHNOLOGY LETTERS 2012年第6期54卷 1483-1488页

作者： Zhang, Ke-Di Xu, Jin-Ping Wang, Wen-Bo Southeast Univ State Key Lab Millimeter Waves Nanjing 210096 Peoples R China

An efficient two-level preconditioning technique based on sparse recursive Cholesky factorization (SRCF) is proposed to solve linear equations in monostatic radar cross section *** SRCF preconditioner is used as the first level preconditioning, and a spectral preconditioner, constructed from the eigenvectors of the SRCF preconditioned system, is adopted as the second level preconditioning. The resultant linear systems are solved by restarted generalized minimal residual method. multilevel fast multipole algorithm is implemented to accelerate computation and reduce memory requirement. Numerical results demonstrate the proposed method is efficient in reducing the number of matrix-vector product, and speed-up factors of 4.26 and 5.89 are observed for electromagnetic scattering by a perfect electric conductor almond and a civil aircraft model, respectively. (C) 2012 Wiley Periodicals, Inc. Microwave Opt Technol Lett 54:14831488, 2012;View this article online at ***. DOI 10.1002/mop.26823

关键词： electromagnetic scattering moment of method multilevel fast multipole algorithm sparse recursive Cholesky factorization two-level preconditioning

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An Improved Combination of IE-ODDM and MLFMA

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APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL 2014年第11期29卷 887-894页

作者： Hu, Jun Nanjing Univ Sci & Technol Sch Elect & Opt Engn Nanjing 210094 Jiangsu Peoples R China Southeast Univ State Key Lab Millimeter Waves Nanjing 210096 Jiangsu Peoples R China

Domain decomposition methods are efficient for analyzing scattering problems with large-scale structures. In the present paper, an improved combination of Overlapped Domain Decomposition Method of Integral Equations (IE-ODDM) and multilevel fast Multi-pole algorithm (MLFMA) is developed. Amount of independent MLFMA progresses of sub-domains are departed and re-integrated, such that the total CPU time of coupled effects in IE-ODDM can be saved. The proposed method developed minimal-completed sub-trees of sub-domains to reduce redundant aggregations of the MLFMA process blended in IE-ODDM. Numerical results and comparisons with the original method are provided, which suggest that the proposed combination integrates MLFMA with IE-ODDM better than the original combined method, and it can greatly improve the computational efficiency of coupled effects in IE-ODDM.

关键词： Improved combined method method of moments multilevel fast multipole algorithm overlapped domain decomposition method of integral equations

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fast and Accurate Calculation of Electromagnetic Scattering/Radiation Fields

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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 2019年第11期67卷 7168-7173页

作者： Liu, Yan-Nan Song, Wei Wu, Di Pan, Xiao-Min Sheng, Xin-Qing Beijing Inst Technol Sch Informat & Elect Ctr Electromagnet Simulat Beijing 100081 Peoples R China CAEP Software Ctr High Performance Numer Simulat Beijing 100088 Peoples R China Inst Appl Phys & Computat Math Beijing 100088 Peoples R China

A novel and general method for a fast calculation of scattering/radiation fields is proposed by expressing the source-field relationship through the method of moments (MoM). The scattering fields in the observation region are expanded by a set of SWGs defined on an auxiliary mesh. The associated expansion coefficients are obtained from matrix vector multiplication (MVM) of the impedance matrix in the MoM and the equivalent currents. The proposed method can enable an accurate near-field calculation without a special treatment of the singularity. Numerical experiments on targets with complex configurations are conducted to validate the performance of the proposed method.

关键词： Method of moments Surface impedance Impedance Testing Sparse matrices Electromagnetic scattering Method of moments (MoM) multilevel fast multipole algorithm near-field calculation skeletonization

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