Relevant bibliographies by topics / Hierarchical Multi-level Fast Multipole Method

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers
  4. Reports

Academic literature on the topic 'Hierarchical Multi-level Fast Multipole Method'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Hierarchical Multi-level Fast Multipole Method"

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Yun, Dal-jae, Haewon Jung, Hoon Kang, Woo-Yong Yang, and Dong-Wook Seo. "Acceleration of the Multi-Level Fast Multipole Algorithm Using K-Means Clustering." Electronics 9, no. 11 (2020): 1926. http://dx.doi.org/10.3390/electronics9111926.

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The multilevel fast multipole algorithm (MLFMA) using K-means clustering to accelerate electromagnetic scattering analysis for large complex targets is presented. By replacing the regular cube grouping with the K-means clustering, the addition theorem is more accurately approximated. The convergence rate of an iterative solver is thus improved significantly. However, irregular centroid locations as a result of the K-means clustering increase the amount of explicit transfer function calculations, compared with the regular cubes. In the MLFMA, a multilevel hierarchical structure is applied to th
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Zhang, Bing Rong, Jian Chen, Li Tao Chen, and Wu Zhang. "Fast Multipole Boundary Element Method for 3-Dimension Acoustic Radiation Problem." Applied Mechanics and Materials 130-134 (October 2011): 80–85. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.80.

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In order to reduce computational complexity and memory requirements using conventional boundary element method (CBEM) for large scale acoustical analysis, a fast solving algorithm called the Fast Multipole BEM (FMBEM) based on the fast multipole algorithm and GMRES iterative solver is developed without composing the dense influence coefficient matrices. The multipole level structure is introduced to accelerate the solution of large-scale acoustical problems, by employing a concept of cells clustering boundary elements and hierarchical cell structure. To further improve the efficiency of the FM
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Ding, D. Z., G. M. Li, Y. Y. An, and R. S. Chen. "Application of Hierarchical Two-Level Spectral Preconditioning Method for Electromagnetic Scattering from the Rough Surface." International Journal of Antennas and Propagation 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/752418.

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The higher-order hierarchical Legendre basis functions combining the electrical field integral equations (EFIE) are developed to solve the scattering problems from the rough surface. The hierarchical two-level spectral preconditioning method is developed for the generalized minimal residual iterative method (GMRES). The hierarchical two-level spectral preconditioner is constructed by combining the spectral preconditioner and sparse approximate inverse (SAI) preconditioner to speed up the convergence rate of iterative methods. The multilevel fast multipole method (MLFMM) is employed to reduce m
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YASUDA, YOSUKE, TAKUYA OSHIMA, TETSUYA SAKUMA, ARIEF GUNAWAN, and TAKAYUKI MASUMOTO. "FAST MULTIPOLE BOUNDARY ELEMENT METHOD FOR LOW-FREQUENCY ACOUSTIC PROBLEMS BASED ON A VARIETY OF FORMULATIONS." Journal of Computational Acoustics 18, no. 04 (2010): 363–95. http://dx.doi.org/10.1142/s0218396x10004243.

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The fast multipole boundary element method (FMBEM), which is an efficient BEM that uses the fast multipole method (FMM), is known to suffer from instability at low frequencies when the well-known high-frequency diagonal form is employed. In the present paper, various formulations for a low-frequency FMBEM (LF-FMBEM), which is based on the original multipole expansion theory, are discussed; the LF-FMBEM can be used to prevent the low-frequency instability. Concrete computational procedures for singular, hypersingular, Burton-Miller, indirect (dual BEM), and mixed formulations are described in d
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Ye, Qin, Pengcheng Shi, Kunyuan Xu, Popo Gui, and Shaoming Zhang. "A Novel Loop Closure Detection Approach Using Simplified Structure for Low-Cost LiDAR." Sensors 20, no. 8 (2020): 2299. http://dx.doi.org/10.3390/s20082299.

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Reducing the cumulative error is a crucial task in simultaneous localization and mapping (SLAM). Usually, Loop Closure Detection (LCD) is exploited to accomplish this work for SLAM and robot navigation. With a fast and accurate loop detection, it can significantly improve global localization stability and reduce mapping errors. However, the LCD task based on point cloud still has some problems, such as over-reliance on high-resolution sensors, and poor detection efficiency and accuracy. Therefore, in this paper, we propose a novel and fast global LCD method using a low-cost 16 beam Lidar based
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Yuan, Jian, Feng Li Zhang, and Zhong Hai Zhou. "Finite-Time Formation Control for Autonomous Underwater Vehicles with Limited Speed and Communication Range." Applied Mechanics and Materials 511-512 (February 2014): 909–12. http://dx.doi.org/10.4028/www.scientific.net/amm.511-512.909.

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Cooperative control of multiple autonomous underwater vehicles (AUVs) plays an important role on marine scientific investigation and marine development. The formation of multi-AUV can significantly enhance applications on the marine sampling, imaging, surveillance and communications. Compared to the formation control of multi-robot, the formation control of multi-AUV is particularly difficult, especially on controlling attitude and direction of AUV; what is more, the communication method among AUVs is acoustic. When communication distance increases, the communication qualities deteriorate quic
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Browning, B., J. Bruce, M. Bowling, and M. Veloso. "STP: Skills, tactics, and plays for multi-robot control in adversarial environments." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 219, no. 1 (2005): 33–52. http://dx.doi.org/10.1243/095965105x9470.

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In an adversarial multi-robot task, such as playing robot soccer, decisions for team and single-robot behaviour must be made quickly to take advantage of short-term fortuitous events. When no such opportunities exist, the team must execute sequences of coordinated team action that increases the likelihood of future opportunities. A hierarchical architecture, called STP, has been developed to control an autonomous team of robots operating in an adversarial environment. STP consists of skills for executing the low-level actions that make up robot behaviour, tactics for determining what skills to
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Lee, Hyunsoo, Jae-Won Rim, Il-Suek Koh, and Seung-Mo Seo. "Computational Complexity of BiCGstab(l) in Multi-Level Fast Multipole Method(MLFMM) and Efficient Choice of l." Journal of Korean Institute of Electromagnetic Engineering and Science 29, no. 3 (2018): 167–70. http://dx.doi.org/10.5515/kjkiees.2018.29.3.167.

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Roque, Luis, Luis Torgo, and Carlos Soares. "Automatic Hierarchical Time-Series Forecasting Using Gaussian Processes." Engineering Proceedings 5, no. 1 (2021): 49. http://dx.doi.org/10.3390/engproc2021005049.

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Forecasting often involves multiple time-series that are hierarchically organized (e.g., sales by geography). In that case, there is a constraint that the bottom level forecasts add-up to the aggregated ones. Common approaches use traditional forecasting methods to predict all levels in the hierarchy and then reconcile the forecasts to satisfy that constraint. We propose a new algorithm that automatically forecasts multiple hierarchically organized time-series. We introduce a combination of additive Gaussian processes (GPs) with a hierarchical piece-wise linear function to estimate, respective
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Guo, Han, Jun Hu, Hanru Shao, and Zaiping Nie. "Hierarchical Matrices Method and Its Application in Electromagnetic Integral Equations." International Journal of Antennas and Propagation 2012 (2012): 1–9. http://dx.doi.org/10.1155/2012/756259.

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Hierarchical (H-) matrices method is a general mathematical framework providing a highly compact representation and efficient numerical arithmetic. When applied in integral-equation- (IE-) based computational electromagnetics,H-matrices can be regarded as a fast algorithm; therefore, both the CPU time and memory requirement are reduced significantly. Its kernel independent feature also makes it suitable for any kind of integral equation. To solveH-matrices system, Krylov iteration methods can be employed with appropriate preconditioners, and direct solvers based on the hierarchical structure o
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Dissertations / Theses on the topic "Hierarchical Multi-level Fast Multipole Method"

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Wei, Jiangong. "Surface Integral Equation Methods for Multi-Scale and Wideband Problems." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1408653442.

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Barakat, Khalil. "The multi-level fast multipole method and prediction of cellular signal strength in an urban environment /." Thesis, McGill University, 2002. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=33955.

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There is great interest in solving microwave propagation problems in the urban environment, for planning and simulating cell phone systems. The most accurate approach would be to solve Maxwell's equations for the unknown field strength at every point. Traditional computational methods require dividing space into N subregions (e.g. finite elements) that are no longer than about half a wavelength across, and introducing several unknowns per subregion. This thesis investigates computationally efficient methods of solving such problems on electrically large domains and as a result, the Multi-Level
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Cwikla, Martin. "The Low-Frequency Multi-Level Fast Multipole Method on Graphics Processors." 2009. http://hdl.handle.net/1993/3209.

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The Fast Multipole Method (FMM) allows for rapid evaluation of the fundamental solution of the Helmholtz equation, known as Green's function. Evaluation times are reduced from O(N^2), using the direct approach, down to O(N log N), with an accuracy specified by the user. The Helmholtz equation, and variations thereof, including the Laplace and wave equations, are used to describe physical phenomena in electromagnetics, acoustics, heat dissipation, and many other applications. This thesis studies the acceleration of the low-frequency FMM, where the product of the wave number and the translation
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Conference papers on the topic "Hierarchical Multi-level Fast Multipole Method"

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Wei, Jian-gong, Zhen Peng, and Jin-Fa Lee. "A hierarchical multi-level fast multipole method for wideband multiscale electromagnetic wave scattering from non-penetrable targets in R3." In 2012 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting. IEEE, 2012. http://dx.doi.org/10.1109/aps.2012.6348561.

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Borries, Oscar, Per Christian Hansen, Stig B. Sorensen, Peter Meincke, and Erik Jorgensen. "Gaussian translation operator for Multi-Level Fast Multipole Method." In 2014 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2014. http://dx.doi.org/10.1109/aps.2014.6905403.

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Azhar, Arslan, and Thomas F. Eibert. "Numerical Synthesis of Translation Operators for the Multi-Level Fast Multipole Method." In 2020 14th European Conference on Antennas and Propagation (EuCAP). IEEE, 2020. http://dx.doi.org/10.23919/eucap48036.2020.9135193.

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Chung, Shen Shou Max, and Shih-Chung Tuan. "Comparison of NASA Almond Radar Cross Section Simulation Results from Shoot-Bouncing-Ray Method and Multi-Level-Fast-Multipole-Method." In 2020 International Workshop on Electromagnetics: Applications and Student Innovation Competition (iWEM). IEEE, 2020. http://dx.doi.org/10.1109/iwem49354.2020.9237433.

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Zhao, Huapeng, Siping Gao, Weijiang Zhao, Qun Wan, Jun Hu, and Zhizhang Chen. "Estimation of interfrence between antennas on large platforms using physics-based truncation model and multi-level fast multipole method." In 2016 IEEE International Symposium on Electromagnetic Compatibility - EMC 2016. IEEE, 2016. http://dx.doi.org/10.1109/isemc.2016.7571743.

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Koeln, Justin P., Matthew A. Williams, and Andrew G. Alleyne. "Hierarchical Control of Multi-Domain Power Flow in Mobile Systems: Part I — Framework Development and Demonstration." In ASME 2015 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/dscc2015-9908.

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This two-part paper presents the development of a hierarchical control framework for the control of power flow throughout mobile systems. These vehicles are comprised of multiple interconnected systems each with multiple subsystems which exhibit dynamics over a wide range of timescales. These interconnections and the timescale separation pose a significant challenge when developing an effective control strategy. Part I presents the proposed graph-based modeling approach and the three-level hierarchical control framework developed to directly address these interconnections and timescale separat
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Huang, Chao, Xin Chen, Yifan Zhang, Shengchao Qin, Yifeng Zeng, and Xuandong Li. "Switched Linear Multi-Robot Navigation Using Hierarchical Model Predictive Control." In Twenty-Sixth International Joint Conference on Artificial Intelligence. International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/605.

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Multi-robot navigation control in the absence of reference trajectory is rather challenging as it is expected to ensure stability and feasibility while still offer fast computation on control decisions. The intrinsic high complexity of switched linear dynamical robots makes the problem even more challenging. In this paper, we propose a novel HMPC based method to address the navigation problem of multiple robots with switched linear dynamics. We develop a new technique to compute the reachable sets of switched linear systems and use them to enable the parallel computation of control parameters.
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Tamilselvan, Prasanna, Pingfeng Wang, and Byeng D. Youn. "Multi-Sensor Health Diagnosis Using Deep Belief Network Based State Classification." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48352.

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Effective health diagnosis provides multifarious benefits such as improved safety, improved reliability and reduced costs for the operation and maintenance of complex engineered systems. This paper presents a novel multi-sensor health diagnosis method using Deep Belief Networks (DBN) based state classification. The DBN has recently become a popular approach in machine learning for its promised advantages such as fast inference and the ability to encode richer and higher order network structures. The DBN employs a hierarchical structure with multiple stacked Restricted Boltzmann Machines and wo
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Williams, Matthew A., Justin P. Koeln, and Andrew G. Alleyne. "Hierarchical Control of Multi-Domain Power Flow in Mobile Systems: Part II — Aircraft Application." In ASME 2015 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/dscc2015-9904.

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This two-part paper presents the development of a hierarchical control framework for the control of power flow throughout large-scale systems. Part II presents the application of the graph-based modeling framework and three-level hierarchical control framework to the power systems of an aircraft. The simplified aircraft system includes an engine, electrical, and thermal systems. A graph based approach is used to model the system dynamics, where vertices represent capacitive elements such as fuel tanks, heat exchangers, and batteries with states corresponding to the temperature and state of cha
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Wang, Haitao, and Xin Wang. "Study on Temperature Distribution of Pebble-Bed HTR Fuel Element by Using Boundary Element Method." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97454.

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Spherical fuel elements with a diameter of 60mm are basic units of the nuclear fuel for the pebble-bed high temperature gas-cooled reactor (HTR). Each fuel element is treated as a graphite matrix containing around 10,000 randomly distributed fuel particles. The essential safety concept of the pebble-bed HTR is based on the objective that maximum temperature of the fuel particles does not exceed the design value. In this paper, a microstructure-based boundary element model is proposed for the large-scale thermal analysis of a spherical fuel element. This model presents detailed structural infor
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Reports on the topic "Hierarchical Multi-level Fast Multipole Method"

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Masumoto, Takayuki. The Effect of Applying the Multi-Level Fast Multipole Algorithm to the Boundary Element Method. SAE International, 2005. http://dx.doi.org/10.4271/2005-08-0589.

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