Academic literature on the topic 'Fast diagonalization method'

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Journal articles on the topic "Fast diagonalization method"

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Si, Wei, and Qiang Xu. "Virtual Boundary Element Collocation Method with RBF Interpolation on Virtual Boundary and Diagonalization Feature in Fast Multipole Method." Advanced Materials Research 378-379 (October 2011): 166–70. http://dx.doi.org/10.4028/www.scientific.net/amr.378-379.166.

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The algorithm idea of virtual boundary element collocation method with RBF interpolation on virtual boundary and diagonalization feature in fast multipole method is presented to study 2-D elasticity problems in this paper. In other words, the new fast multipole method (FMM) adopting diagonalization and the generalized minimal residual (GMRES) algorithm are jointly employed to solve the equations related to virtual boundary element collocation method (VBEM) with RBF interpolation on virtual boundary. In this paper, the numerical scheme suitable for original FMM with respect to two-dimensional p
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Zhang Na, 张娜, 冯金超 Feng Jinchao, 李哲 Li Zhe, and 贾克斌 Jia Kebin. "Fast Photoacoustic Imaging Reconstruction Method Based on Lanczos Double Diagonalization." Chinese Journal of Lasers 45, no. 3 (2018): 0307018. http://dx.doi.org/10.3788/cjl201845.0307018.

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Nyka, Krzysztof. "Diagonalized Macromodels in Finite Element Method for Fast Electromagnetic Analysis of Waveguide Components." Electronics 8, no. 3 (2019): 260. http://dx.doi.org/10.3390/electronics8030260.

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A new technique of local model-order reduction (MOR) in 3-D finite element method (FEM) for frequency-domain electromagnetic analysis of waveguide components is proposed in this paper. It resolves the problem of increasing solution time of the reduced-order system assembled from macromodels created in the subdomains, into which an analyzed structure is partitioned. This problem becomes particularly relevant for growing size and count of the macromodels, and when they are cloned in multiple locations of the structures or are used repeatedly in a tuning and optimization process. To significantly
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Montardini, M., G. Sangalli, and M. Tani. "Robust isogeometric preconditioners for the Stokes system based on the Fast Diagonalization method." Computer Methods in Applied Mechanics and Engineering 338 (August 2018): 162–85. http://dx.doi.org/10.1016/j.cma.2018.04.017.

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Liu, Fang, Yongbin Liu, Fenglin Chen, and Bing He. "Residual life prediction for ball bearings based on joint approximate diagonalization of eigen matrices and extreme learning machine." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231, no. 9 (2015): 1699–711. http://dx.doi.org/10.1177/0954406215621585.

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Data-driven approaches have been proved effective for remaining useful life estimation of key components (bearings for example) in rotating machinery. In such approaches, it is important to determine an appropriate degradation indicator from the collected run-to-failure life cycle data. In this paper, a new degradation indicator is introduced based on the joint approximate diagonalization of eigen matrices algorithm. First, a matrix consisting of time domain, frequency domain, and time–frequency domain features extracted from the collected data instances is created. Then a two-layer joint appr
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Eibert, T. F. "A multilevel fast spectral domain algorithm for electromagnetic analysis of infinite periodic arrays with large unit cells." Advances in Radio Science 4 (September 4, 2006): 41–47. http://dx.doi.org/10.5194/ars-4-41-2006.

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Abstract. A multilevel fast spectral domain algorithm (MLFSDA) is introduced for the efficient evaluation of the matrix vector products due to the boundary integral (BI) operator within a hybrid finite element - BI (FEBI) method for the analysis of infinite periodic arrays. The MLFSDA utilizes the diagonalization property of the spectral domain (SD) BI representation and handles the large numbers of Floquet modes required for large (with respect to wavelength) periodic unit cells by similar hierarchical techniques as applied in the multilevel fast multipole method/algorithm (MLFMM/MLFMA). With
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Lay-Ekuakille, A., G. Griffo, D. Pellicanò, P. Maris, and M. Cacciola. "A Hardware for Processing Magnetic Pressure Sensor Signals from Leak Detection in Waterworks." International Journal of Measurement Technologies and Instrumentation Engineering 3, no. 3 (2013): 35–45. http://dx.doi.org/10.4018/ijmtie.2013070103.

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Leaks in pipelines and waterworks are detected using different methods and among them spectral analysis is one of the most interesting ones. Sources of signals to be processed are different, for example: reflected signals from ground penetrating radar and acoustic sources, signals from dedicated sensors mounted on pipelines, etc… In the latter case, magnetic pressure sensors located on the pipeline acquire vibrations and oscillations of liquids (e.g. water) in the pipeline, following a leak in the pipeline. These vibrations and oscillations are transformed in electrical signal and processed us
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Cornejo Fuentes, Joaquín, Thomas Elguedj, David Dureisseix, and Arnaud Duval. "A cheap preconditioner based on fast diagonalization method for matrix-free weighted-quadrature isogeometric analysis applied to nonlinear transient heat transfer problems." Computer Methods in Applied Mechanics and Engineering 414 (September 2023): 116157. http://dx.doi.org/10.1016/j.cma.2023.116157.

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Cervellino, Antonio, Cinzia Giannini, Antonietta Guagliardi, and Massimo Ladisa. "Unfolding a two-dimensional powder diffraction image: conformal mapping." Journal of Applied Crystallography 41, no. 4 (2008): 701–4. http://dx.doi.org/10.1107/s0021889808019092.

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A new procedure aimed at unfolding a two-dimensional powder diffraction image into both a one-dimensional azimuthal and a radial scan is presented. In this approach, the sample-to-detector distance is the only parameter that must be adjusted in a separate step by using a standard sample. The technique consists of three steps: tracking the beam centre as the local maximum of the self-convolution of the original two-dimensional map, detector tilt and rotation determination by an intensity-tensor diagonalization, and azimuthal/radial intensity integration by a conformal mapping of the original tw
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Liu, Wang, Huang, and Yang. "An Improved Second-Order Blind Identification (SOBI) Signal De-Noising Method for Dynamic Deflection Measurements of Bridges Using Ground-Based Synthetic Aperture Radar (GBSAR)." Applied Sciences 9, no. 17 (2019): 3561. http://dx.doi.org/10.3390/app9173561.

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Ground-based synthetic aperture radar (GBSAR) technology has been widely used for bridge dynamic deflection measurements due to its advantages of non-contact measurements, high frequency, and high accuracy. To reduce the influence of noise in dynamic deflection measurements of bridges using GBSAR—especially for noise of the instantaneous vibrations of the instrument itself caused by passing vehicles—an improved second-order blind identification (SOBI) signal de-noising method is proposed to obtain the de-noised time-series displacement of bridges. First, the obtained time-series displacements
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Dissertations / Theses on the topic "Fast diagonalization method"

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Bahari, Mustapha. "Transport optimal pour la génération de maillage et le r-raffinement." Electronic Thesis or Diss., Université Côte d'Azur, 2024. http://www.theses.fr/2024COAZ5032.

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Dans cette thèse, nous développons des solveurs rapides et des procédures de génération de maillage adaptatif basés sur le transport optimal dans le contexte de l'Analyse Isogéométrique, en utilisant les B-Splines comme base des éléments finis. Notre approche garantit la construction d'une bijection, abordant ainsi un défi majeur de l'Analyse Isogéométrique. Nous utilisons des éléments finis standard pour résoudre l'équation de Monge-Ampère. Cependant, une analyse de cette approche montre des limitations significatives, notamment lorsqu'elle est confrontée à des variations importantes au voisi
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Book chapters on the topic "Fast diagonalization method"

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Wilhelm, Dirk, and Leonhard Kleiser. "Domain Decomposition Method and Fast Diagonalization Solver for Spectral Element Simulations." In Computational Fluid Dynamics 2000. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56535-9_64.

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