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A parallel sparse solver and its relation to graphs 一个并行稀疏求解器及其与图的关系
Pub Date : 2011-10-17 DOI: 10.1109/CEM.2011.6047337
M. Manguoglu
A solver for sparse linear systems is an important kernel in many areas of science and engineering. Typically, sparse linear systems of equations arise from the discretization of partial differential equations (PDEs), while some sparse systems are not governed by PDEs. Even in the case that the coefficient matrix is dense, applications still require an effective preconditioner, which is often sparse. For solving large problems, one needs to resort to parallel computing in order to reduce the time to solution. Sparse algorithms are well-known for their poor utilization of the cache due to irregular memory access. In addition, traditional algorithms that are designed for sequential platforms usually have inherited limitations for parallelism. Therefore, there is a need for novel algorithms to work on today's multicore clusters. Given a system of equations Ax = f, where A is large and sparse, it is known that hybrid solvers that contain both direct and iterative components are promising in terms of robustness and scalability on parallel computing platforms. In this paper, we review the generalized parallel sparse DS factorization algorithm and its relationship to sparse graphs. We will provide an example of parallel scalability of the hybrid solver compared to other well-known preconditioned Krylov subspace methods.
稀疏线性系统的求解器是许多科学和工程领域的重要核心。通常,稀疏线性方程组是由偏微分方程的离散化产生的,而有些稀疏系统不受偏微分方程的控制。即使在系数矩阵密集的情况下,应用仍然需要一个有效的预条件,它通常是稀疏的。对于解决大型问题,需要采用并行计算来减少求解时间。众所周知,稀疏算法由于不规律的内存访问而对缓存的利用率很低。此外,为顺序平台设计的传统算法通常继承了并行性的限制。因此,需要新的算法来处理当今的多核集群。给定方程组Ax = f,其中a大且稀疏,已知包含直接分量和迭代分量的混合求解器在并行计算平台上具有鲁棒性和可扩展性。本文综述了广义并行稀疏DS分解算法及其与稀疏图的关系。我们将提供一个混合求解器的并行可扩展性的例子,与其他众所周知的预处理Krylov子空间方法进行比较。
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引用次数: 1
Optical aspects of the interaction of focused beams with plasmonic nanoparticles 聚焦光束与等离子体纳米粒子相互作用的光学方面
Pub Date : 2011-10-17 DOI: 10.1109/CEM.2011.6047332
K. Şendur
In this study, the interaction of a spherical nanoparticle with focused beams of various angular spectra is investigated. This study demonstrates that the focused light can be utilized to manipulate the near-field radiation around nanoparticles. Also in this study, the interaction between focused light and nano-antennas is investigated.
本文研究了球形纳米粒子与不同角度光谱聚焦光束的相互作用。该研究表明,聚焦光可以用来操纵纳米粒子周围的近场辐射。本文还研究了聚焦光与纳米天线之间的相互作用。
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引用次数: 5
PSTD-based approach to a large-scale inverse scattering problem 基于pstd的大规模逆散射问题求解方法
Pub Date : 2011-10-17 DOI: 10.1109/CEM.2011.6047349
C. Statz, Gabriel Arnold, S. Hegler, D. Plettemeier, A. Hérique, Wlodek Kofman
The three-dimensional finite-difference time-domain method (FDTD) simulation of electromagnetic wave propagation in large structures, like the cometary nucleus of 67P/Churyumov-Gerasimenko, as well as the inverse problem of reconstructing the permittivity distribution inside the comet nucleus is computationally expensive. With approximative methods not all propagation phenomena can be sufficiently modeled. For the efficient solution of this kind of inverse problem we propose the use of pseudo-spectral time-domain method (PSTD). This method overcomes the computational burdens and memory demands of the FDTD and allows accurate modeling of wave propagation for the CoNSERT case. In combination with optimal checkpointing and a state-of-the-art optimization tool, we demonstrate the solution of inverse problems at a scale of 50 wavelengths.
三维时域有限差分法(FDTD)模拟电磁波在大型结构中的传播,如67P/Churyumov-Gerasimenko彗星核,以及重建彗星核内部介电常数分布的逆问题,计算成本很高。用近似方法并不能充分模拟所有的传播现象。为了有效地求解这类逆问题,我们提出了伪谱时域方法(PSTD)。该方法克服了FDTD的计算负担和内存需求,并允许对CoNSERT情况下的波传播进行精确建模。结合最优检查点和最先进的优化工具,我们展示了50波长尺度下逆问题的解决方案。
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引用次数: 1
Towards a scalable parallel MLFMA in three dimensions 面向三维可扩展并行MLFMA
Pub Date : 2011-10-17 DOI: 10.1109/CEM.2011.6047346
B. Michiels, J. Fostier, I. Bogaert, P. Demeester, D. De Zutter
The development of a scalable parallel multilevel fast multipole algorithm (MLFMA) for three dimensional electromagnetic scattering problems is reported. In the context of this work, the term 'scalable' denotes the ability to handle larger simulations with a proportional increase in the number of parallel processes (CPU cores), without loss of parallel efficiency. The workload is divided among the different processes according to the hierarchical partitioning scheme. Crucial to ensure the parallel scalability of the algorithm, is that the radiation patterns — sampled on the sphere — are partitioned in two dimensions, i.e., both in azimuth and elevation directions.
提出了一种求解三维电磁散射问题的可扩展并行多电平快速多极子算法(MLFMA)。在这项工作的上下文中,术语“可扩展”指的是处理更大的模拟的能力,并行进程(CPU内核)的数量按比例增加,而不会损失并行效率。根据分层分区方案,将工作负载划分到不同的进程中。确保该算法的并行可扩展性的关键是,在球体上采样的辐射模式在两个维度上被分割,即在方位角和仰角方向上。
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引用次数: 6
Electromagnetic characterization of barium ferrite thick film samples in the KP band 钡铁氧体厚膜样品在KP波段的电磁特性
Pub Date : 2011-10-17 DOI: 10.1109/CEM.2011.6047343
L. Jakab, T. Berceli
A method for the broadband measurement of the complex permittivity of barium ferrite (BaF) thick film samples in a partially filled rectangular waveguide is presented. The material characterization is based on the measurement of the reflection and the transmission coefficients of the rectangular waveguide containing the demagnetized ferrite sample. We present the detailed numerical method for the calculation of the complex permittivity from the measured scattering matrix. First the propagation constant is deduced from the scattering parameters followed by the determination of the cutoff wavenumber for the partially filled section of the waveguide. Finally, the material parameters are calculated based on the analytical solution of the partially filled waveguide. The method is verified by 3-D electromagnetic simulation tools and by reference measurements on known samples.
提出了一种在部分填充矩形波导中宽带测量钡铁氧体(BaF)厚膜样品复介电常数的方法。材料表征是基于测量包含退磁铁氧体样品的矩形波导的反射系数和透射系数。本文给出了由实测散射矩阵计算复介电常数的详细数值方法。首先由散射参数推导出传播常数,然后确定波导部分填充段的截止波数。最后,根据部分填充波导的解析解计算了材料参数。该方法通过三维电磁仿真工具和已知样品的参考测量进行了验证。
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引用次数: 0
Accuracy and efficiency considerations in the solution of extremely large electromagnetics problems 求解特大电磁学问题时的精度和效率考虑
Pub Date : 2011-10-17 DOI: 10.1109/CEM.2011.6047347
L. Gurel, O. Ergul
This study considers fast and accurate solutions of extremely large electromagnetics problems. Surface formulations of large-scale objects lead to dense matrix equations involving millions of unknowns. Thanks to recent developments in parallel algorithms and high-performance computers, these problems can easily be solved with unprecedented levels of accuracy and detail. For example, using a parallel implementation of the multilevel fast multipole algorithm (MLFMA), we are able to solve electromagnetics problems discretized with hundreds of millions of unknowns. Unfortunately, as the problem size grows, it becomes difficult to assess the accuracy and efficiency of the solutions, especially when comparing different implementations. This paper presents our efforts to solve extremely large electromagnetics problems with an emphasis on accuracy and efficiency. We present a list of benchmark problems, which can be used to compare different implementations for large-scale problems.
本研究考虑了超大型电磁学问题的快速和准确的解决方案。大尺度物体的表面公式导致涉及数百万未知数的密集矩阵方程。由于并行算法和高性能计算机的最新发展,这些问题可以以前所未有的精度和细节轻松解决。例如,使用多层快速多极算法(MLFMA)的并行实现,我们能够解决具有数亿未知数的离散电磁学问题。不幸的是,随着问题规模的增长,评估解决方案的准确性和效率变得越来越困难,尤其是在比较不同实现时。本文介绍了我们在解决特大电磁学问题上的努力,重点是精度和效率。我们提供了一个基准问题列表,可用于比较大规模问题的不同实现。
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引用次数: 0
Nonlinear/electromagnetic co-design of MIMO and UWB radio links MIMO和UWB无线电链路的非线性/电磁协同设计
Pub Date : 2011-10-17 DOI: 10.1109/CEM.2011.6047328
D. Masotti, A. Costanzo, F. Mastri, M. Aldrigo, V. Rizzoli
The purpose of the paper is to demonstrate a general and rigorous computer-aided design (CAD) procedure that can potentially provide a systematic answer to the needs of modern circuit-level microwave system simulation/design by combining nonlinear, electromagnetic (EM), and propagation analysis tools. As examples of application, a systematic approach to a full CAD-based treatment of multi-input multi-output (MIMO) and ultra wide band (UWB) links is presented. The EM theory allows to evaluate a set of Norton equivalent generators to derive a circuit description of the receiver excitation: in the MIMO case one generator for each ray coming from each transmitting antenna; in the UWB case one generator for each harmonic frequency used to describe the spectrum of the impulse-radio (IR)-UWB signal. For the first time, highly-complex radio frequency (RF) links can be otpimized by means of the rigorous circuit-level CAD tool here presented: the selection of both the optimum distance between the receiving antennas and the optimum transmitted pulse shape is numerically performed in the MIMO and UWB case, respectively.
本文的目的是展示一种通用的、严格的计算机辅助设计(CAD)程序,该程序可以通过结合非线性、电磁(EM)和传播分析工具,为现代电路级微波系统仿真/设计的需要提供系统的答案。作为应用实例,提出了一种基于cad的多输入多输出(MIMO)和超宽带(UWB)链路的系统处理方法。EM理论允许对一组诺顿等效发生器进行评估,从而推导出接收机激励的电路描述:在MIMO情况下,每个发射天线发出的每条射线对应一个发生器;在UWB情况下,每个谐波频率对应一个发生器,用于描述脉冲无线电(IR)-UWB信号的频谱。高度复杂的射频(RF)链路首次可以通过本文提出的严格的电路级CAD工具进行优化:分别在MIMO和UWB情况下,对接收天线之间的最佳距离和最佳发射脉冲形状进行了数值选择。
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引用次数: 1
Copyright page 版权页
Pub Date : 1987-10-01 DOI: 10.1109/ias.2004.1348766
Copyright and Reprint Permission: Abstracting is permitted with credit to the source. Libraries are permitted to photocopy beyond the limit of U.S. copyright law for private use of patrons those articles in this volume that carry a code at the bottom of the first page, provided the per-copy fee indicated in the code is paid through
版权和转载许可:允许文摘并注明出处。在美国版权法的限制之外,图书馆允许影印本卷中第一页底部带有代码的文章,供用户私人使用,前提是通过支付代码中所示的每副本费用
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引用次数: 0
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CEM'11 Computational Electromagnetics International Workshop
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