Livres : « Higher order finite element »

1

Karel, Segeth, et Dolez̆el Ivo, dir. Higher-order finite element methods. Boca Raton, Fla : Chapman & Hall/CRC, 2004.

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2

Oskooei, Saeid G. A higher order finite element for sandwich plate analysis. Ottawa : National Library of Canada, 1998.

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3

Reddy, J. N. A higher-order theory for geometrically nonlinear analysis of composite laminates. Hampton, Va : Langley Research Center, 1987.

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4

Yan, Jue. Local discontinuous Galerkin methods for partial differential equations with higher order derivates. Hampton, VA : Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2002.

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5

1936-, Oden J. Tinsley, et George C. Marshall Space Flight Center., dir. Final report on second order tensor finite element. Austin, Tex : Computational Mechanic Co., Inc., 1990.

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6

M, Toossi, et Langley Research Center, dir. Finite element modeling of the higher harmonic controlled OH-6A helicopter airframe. Hampton, Va : National Aeronautics and Space Administration, Langley Research Center, 1990.

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7

Sehmi, N. S. Large order structural eigenanalysis techniques : Algorithms for finite element systems. Chichester, West Sussex, England : Ellis Horwood, 1989.

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8

Qu, Zu-Qing. Model Order Reduction Techniques : With Applications in Finite Element Analysis. London : Springer London, 2004.

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9

Mulder, T. F. O. De. FEGAS : A finite element solver for 2D viscous incompressible gas flows using SUPG/PSPG stabilized piecewise linear equal-order velocity-pressure interpolation on unstructured triangular grids. Rhode Saint Genese, Belgium : von Karman Institute for Fluid Dynamics, 1994.

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10

Elsner, Guido. Distributions of values of indefinite forms and higher-order spectral estimates for finite Markov chains. Bielefeld : [s.n.], 2007.

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11

Elsner, Guido. Distributions of values of indefinite forms and higher-order spectral estimates for finite Markov chains. Bielefeld : [s.n.], 2007.

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12

Kantartzis, Nikolaos V. Higher order FDTD schemes for waveguide and antenna structures. [San Rafael, Calif.] : Morgan and Claypool, 2006.

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13

O, Demuren Ayodeji, Carpenter Mark et Institute for Computer Applications in Science and Engineering., dir. Higher-order compact schemes for numerical simulation of incompressible flows. Hampton, VA : Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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14

O, Demuren A., Carpenter Mark et Institute for Computer Applications in Science and Engineering., dir. Higher-order compact schemes for numerical simulation of incompressible flows. Hampton, VA : Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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15

T. F. O. de Mulder. FEGAS : A finite element solver for 2D viscous incompressible gas flows using SUPG/PSPG stabilized piecewise linear equal-order velocity-pressure interpolation on unstructured triangular grids. Rhode-Saint-Genèse, Belgium : Von Karman Institute for Fluid Dynamics, 1994.

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16

Zhang, Yong-Tao. High order WENO schemes for Hamilton-Jacobi equations on triangular meshes. Hampton, Va : ICASE, NASA Langley Research Center, 2001.

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17

Facility, Dryden Flight Research, dir. Higher harmonic control analysis for vibration reduction of helicopter rotor systems. Edwards, Calif : National Aeronautics and Space Administration, Ames Research Center, Dryden Flight Research Facility, 1994.

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18

Facility, Dryden Flight Research, dir. Higher harmonic control analysis for vibration reduction of helicopter rotor systems. Edwards, Calif : National Aeronautics and Space Administration, Ames Research Center, Dryden Flight Research Facility, 1994.

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19

Nowman, K. B. Finite sample properties of the Gaussian estimation of an open higher order continuous time dynamic model with mixed stock and flow data. [Colchester] : University of Essex, Dept. of Economics, 1990.

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20

Habib, Ammari, Capdeboscq Yves 1971- et Kang Hyeonbae, dir. Multi-scale and high-contrast PDE : From modelling, to mathematical analysis, to inversion : Conference on Multi-scale and High-contrast PDE:from Modelling, to Mathematical Analysis, to Inversion, June 28-July 1, 2011, University of Oxford, United Kingdom. Providence, R.I : American Mathematical Society, 2010.

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21

Goremykin, Sergey. Relay protection and automation of electric power systems. ru : INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1048841.

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The textbook describes the main issues of the theory of relay protection and automation of electric power systems. The structure and functional purpose of protection devices and automation of power transmission lines of various configurations, synchronous generators, power transformers, electric motors and individual electrical installations are considered. For each of the types of protection of the above objects, the structure, the principle of operation, the order of selection of settings are given, the advantages and disadvantages are evaluated, indicating the scope of application. The manual includes material on complete devices based on semiconductor and microprocessor element bases. The progressive use of such devices (protection of the third and fourth generations) is appropriate and effective due to their significant advantages. Meets the requirements of the federal state educational standards of higher education of the latest generation. It is intended for students in the areas of training 13.03.02 "Electric power and electrical engineering" (profile "Power supply", discipline "Relay protection and automation of electric power systems") and 35.03.06 "Agroengineering" (profile "Power supply and electrical equipment of agricultural enterprises", discipline "Relay protection of electrical equipment of agricultural objects"), as well as for graduate students and specialists engaged in the field of electrification and automation of industrial and agrotechnical objects.

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22

Solin, Pavel, Karel Segeth et Ivo Dolezel. Higher-Order Finite Element Methods. Taylor & Francis Group, 2003.

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23

Solin, Pavel, Karel Segeth et Ivo Dolezel. Higher-Order Finite Element Methods. Taylor & Francis Group, 2003.

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24

Solin, Pavel, Karel Segeth et Ivo Dolezel. Higher-Order Finite Element Methods. Taylor & Francis Group, 2003.

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25

Solin, Pavel, Karel Segeth et Ivan Dolezel. Higher-Order Finite Element Methods. Taylor & Francis Group, 2004.

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26

Solin, Pavel, Karel Segeth et Ivo Dolezel. Higher-Order Finite Element Methods. Taylor & Francis Group, 2003.

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27

Solin, Pavel, Karel Segeth et Ivo Dolezel. Higher-Order Finite Element Methods. Taylor & Francis Group, 2003.

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28

Solin, Pavel, Karel Segeth et Ivo Dolezel. Higher-Order Finite Element Methods (Studies in Advanced Mathematics). Chapman & Hall/CRC, 2003.

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29

Miller, Steven Scott. Investigation of the higher-order elements in the SAMSON2 code. 1986.

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30

Oskooei, Saeid G. A higher order finite element for sandwich plate analysis. 1998.

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31

Simple formulas for strain-energy release rates with higher order and singular finite elements. Hampton, Va : National Aeronautics and Space Administration, Langley Research Center, 1987.

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32

DENG, LONG YU QIU. New finite element theory : Higher Finite Element Method in Structural Engineering. Tsinghua University Press, 2000.

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33

National Aeronautics and Space Administration (NASA) Staff. Second Order Tensor Finite Element. Independently Published, 2018.

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34

Model Order Reduction Techniques : With Applications in Finite Element Analysis. Springer, 2004.

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35

Qu, Zu-Qing. Model Order Reduction Techniques with Applications in Finite Element Analysis. Springer, 2013.

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36

Sehmi, Navtej S. Sehmi : Large Order Structural Eigenanalysis Tech : Algorithms for Finite Element Systems. Ellis Horwood, 1989.

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37

Esche, Harold Arnold *. Higher order elements for the fictitious force indirect boundary element method. 1988.

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38

Wang, Junping. Asymptotic expansions and L [infinity symbol]-error estimates for mixed finite element methods for second order elliptic problems. 1988.

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39

Higher-order compact schemes for numerical simulation of incompressible flows. Hampton, VA : Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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40

Higher-order compact schemes for numerical simulation of incompressible flows. Hampton, VA : Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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41

Application of higher harmonic control to hingeless rotor systems. Moffett Field, Calif : National Aeronautics and Space Administration, Ames Research Center, 1991.

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42

Tsiboukis, Theodoros D., et Nikolaos V. Kantartzis. Higher-order FDTD Schemes for Waveguides and Antenna Structures (Synthesis Lectures on Computational Electromagnetics). Morgan & Claypool Publishers, 2007.

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43

Ignatyev, Alexander V. DEVELOPMENT OF THE FINITE ELEMENT METHOD IN THE FORM OF THE CLASSICAL MIXED BUILDING MECHANICS METHOD. Thesis for the degree of Doctor of Technical Sciences. Volgograd State Technical University, 2023. http://dx.doi.org/10.12731/dissertation-ignatievav.

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The dissertation states: 1. The main provisions of the theory of the finite element method in the form of a classical mixed method. 2. Methods for obtaining physical and mathematical models of finite elements with mixed unknowns in the main system. 3. Construction of resolving equations based on the obtained mathematical models of finite elements and development of algorithms for their solution. 4. Algorithms for solving problematic problems: accounting for FE displacements as a rigid whole, accounting for rigid inclusions and holes. 5. Features of physical and mathematical models of problems of dynamics and stability of structures and the calculation algorithms that implement them. 6. Physical and mathematical models of reduction methods for lowering the order of large systems of frequency resolving equations. 7. Physical and mathematical models and algorithms for solving geometrically nonlinear problems and problems of calculating structurally nonlinear systems with one-way connections.

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44

Struwig, Dillon. Coleridge’s Two-Level Theory of Metaphysical Knowledge and the Order of the Mental Powers in the Logic. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198799511.003.0012.

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Coleridge is presented as a two-level theorist of the innate powers of mind in Chapter 11, which argues that Coleridge distinguishes (1) a transcendental, Kantian sense of the a priori principles of human discursive cognition (comparable to Plato’s mid-level diánoia), from (2) the noëtic, Platonic a priori principles of intellectual intuition (or nóēsis, a higher-level intuitive cognition of ontological, theological, and ethical truths). Drawing on Logic and Opus Maximum, the author demonstrates that Coleridge characterizes Kantian a priori principles as ‘subjectively real’, finite-mind-dependent rules of sense-experience and cognition, and Platonic a priori principles as ‘objectively real’ principles of knowing and being that are dependent upon ‘the transcendent and unindividual’ reason (i.e. God, ‘the absolute Self, Spirit, or Mind’). This ‘two-level’ theory is framed in terms of Coleridge’s Kantian ‘threefold division’ of the human cognitive capacities into sense, understanding, and reason, and their respective a priori operations and contents.

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45

Rosenkvist, Henrik. Null subjects and Distinct Agreement in Modern Germanic. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198815853.003.0012.

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A number of modern Germanic vernaculars (non-standard languages and dialects) allow first and second person null subjects (NSs), but not third person. In this chapter, the person asymmetry, and the relation between these NSs and agreement on finite verbs (and subordinators) are discussed. It is argued that it is not necessary to assume a specific Speech Act-feature in order to explain why third person NSs are disallowed. The crucial factor is instead assumed to be Distinct Agreement, i.e. the agreeing element must (uniquely) express the same φ‎-features and values for these features as the corresponding overt pronoun in order to allow an NS, including not only number and person, but also—crucially—gender.

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46

Isett, Philip. The Coarse Scale Velocity. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0015.

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This chapter deals with the coarse scale velocity. It begins the proof of Lemma (10.1) by choosing a double mollification for the velocity field. Here ∈ᵥ is taken to be as large as possible so that higher derivatives of velement are less costly, and each vsubscript Element has frequency smaller than λ‎ so elementv⁻¹ must be smaller than λ‎ in order of magnitude. Each derivative of vsubscript Element up to order L costs a factor of Ξ‎. The chapter proceeds by describing the basic building blocks of the construction, the choice of elementv and the parametrix expansion for the divergence equation.

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Bacskai-Atkari, Julia. The relative cycle in Hungarian declaratives. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198747307.003.0004.

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This chapter examines word order variation and change in the high CP-domain of Hungarian embedded clauses containing the finite subordinating C head hogy ‘that’. It is argued that the complementizer hogy developed from an operator of the same morphophonological form, meaning ‘how’, and that its grammaticalization path develops in two steps. In addition to the change from an operator, located in a specifier, into a C head (specifier-to-head reanalysis), the fully grammaticalized complementizer hogy also changed its relative position on the CP-periphery, ultimately occupying the higher of two C head positions (upward reanalysis). Other complementizers that could co-occur with hogy in Old Hungarian eventually underwent similar reanalysis processes. Hence the possibility of accommodating two separate C heads in the left periphery was lost and variation in the relative position of complementizers was replaced by a fixed order.

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Rau, Jochen. Phase Transitions. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199595068.003.0008.

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At a phase transition two or more different phases may coexist, such as vapour and liquid. Phase transitions can be classified according to their order. A phase transition is of first order if going from one phase to the other involves a discontinuous change in entropy, and, thus, a finite amount of latent heat; higher-order phase transitions do not involve latent heat but exhibit other types of discontinuities. This chapter investigates the necessary conditions for the coexistence of phases, and how phases are represented in a phase diagram. The order of a phase transition is defined with the help of the Ehrenfest classification. The chapter discusses the Clausius–Clapeyron relation which, for a first-order phase transition, relates the discontinuous changes in entropy and volume. Finally, this chapter considers the Ising ferromagnet as a simple model which exhibits a second-order phase transition. It also introduces the notion of an order parameter.

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Danckaert, Lieven. The Development of Latin Clause Structure. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198759522.001.0001.

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The focus of this book is Latin word order, and in particular the relative ordering of direct objects and lexical verbs (OV vs. VO), and auxiliaries and non-finite verbs (VAux vs. AuxV). One aim of the book is to offer a first detailed, corpus-based description of these two word order alternations, with special emphasis on their diachronic development in the period from ca. 200 BC until 600 AD. The corpus data reveal that some received wisdom needs to be reconsidered. For one thing, there is no evidence for any major increase in productivity of the order VO during the eight centuries under investigation. In addition, the order AuxV only becomes more frequent in clauses with a modal verb and an infinitive, not in clauses with a BE-auxiliary and a past participle. A second goal is to answer a more fundamental question about Latin syntax, namely whether or not the language is ‘configurational’, in the sense that a phrase structure grammar (with ‘higher-order constituents’ such as verb phrases) is needed to describe and analyse facts of Latin word order. Four pieces of evidence are presented which suggest that Latin is indeed a fully configurational language, despite its high degree of word order flexibility. Specifically, it is shown that there is ample evidence for the existence of a verb phrase constituent. The book thus contributes to the ongoing debate whether configurationality (phrase structure) is a language universal or not.

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