Academic literature on the topic 'Γ-convergence'

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Journal articles on the topic "Γ-convergence"

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Braha, Naim Latif, Mikail Et та Yavuz Altin. "Almost lacunary statistical and strongly almost lacunary convergence of order (β,γ) of sequences of fuzzy numbers". Annals of the University of Craiova Mathematics and Computer Science Series 51, № 1 (2024): 82–89. http://dx.doi.org/10.52846/ami.v51i1.1746.

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The main purpose of this article is to introduce the concepts of almost lacunary statistical convergence and strongly almost lacunary convergence of order (β,γ) of sequences of fuzzy numbers with respect to an Orlicz function. We give some relations between strongly almost lacunary convergence and almost lacunary statistical convergence of order (β,γ) of sequences of fuzzy numbers, where β and γ are two fixed real numbers such that 0 β≤γ≤1.
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Baxter, J., G. Dal Maso та U. Mosco. "Stopping Times and Γ-Convergence". Transactions of the American Mathematical Society 303, № 1 (1987): 1. http://dx.doi.org/10.2307/2000777.

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Bucur, Dorin. "Concentration-compacité et γ-convergence". Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 327, № 3 (1998): 255–58. http://dx.doi.org/10.1016/s0764-4442(98)80142-0.

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Dal Maso, Gianni, та Umberto Mosco. "Wiener's criterion and Γ-convergence". Applied Mathematics and Optimization 15, № 1 (1987): 15–63. http://dx.doi.org/10.1007/bf01442645.

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Nguyen, Hoai-Minh. "Γ-convergence and Sobolev norms". Comptes Rendus Mathematique 345, № 12 (2007): 679–84. http://dx.doi.org/10.1016/j.crma.2007.11.005.

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Braides, Andrea, та Lev Truskinovsky. "Asymptotic expansions by Γ-convergence". Continuum Mechanics and Thermodynamics 20, № 1 (2008): 21–62. http://dx.doi.org/10.1007/s00161-008-0072-2.

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SOM, SUMIT. "A Note on Probability Convergence Defined by Unbounded Modulus Function and $alphabeta$-Statistical Convergence." Kragujevac Journal of Mathematics 45, no. 01 (2021): 127–38. http://dx.doi.org/10.46793/kgjmat2101.127s.

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In this paper we define f − αβ-statistical convergence of order γ in probability and f − αβ-strong p-Ces`aro summability of order γ in probability for a sequence of random variables under unbounded modulus function and examine the relation between these two concepts. We show by an example that this notion of f − αβ-statistical convergence of order γ in probability is stronger than αβ-statistical convergence of order γ in probability.
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Ansini, Nadia, Gianni Dal Maso та Caterina Ida Zeppieri. "Γ-convergence and H-convergence of linear elliptic operators". Journal de Mathématiques Pures et Appliquées 99, № 3 (2013): 321–29. http://dx.doi.org/10.1016/j.matpur.2012.09.004.

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Osorio Caballero, María Isabel. "¿ES PROCÍCLICA LA CONVERGENCIA DEL CRECIMIENTO ECONÓMICO DE AMÉRICA LATINA?" Investigación Económica 78, no. 307 (2019): 33. http://dx.doi.org/10.22201/fe.01851667p.2019.307.68446.

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<p align="center"><strong>RESUMEN</strong></p><p>Este trabajo examina la hipótesis de convergencia condicional del producto interno bruto (PIB) per cápita estableciendo una vinculación positiva con la tasa de crecimiento de un panel de 18 países de América Latina durante 1990-2015. Se emplea un análisis de β-convergencia, σ-convergencia y γ-convergencia. Además, para identificar la heterogeneidad espacial se analizan las relaciones entre unidades territoriales vecinas y el nivel de producto empleando el estadístico I de Moran. En general, todos los indicadores mue
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Velčić, Igor. "Shallow-shell models by Γ-convergence". Mathematics and Mechanics of Solids 17, № 8 (2012): 781–802. http://dx.doi.org/10.1177/1081286511429889.

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Dissertations / Theses on the topic "Γ-convergence"

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Giacomini, Alessandro. "Asymptotic problems and approximation results in variational models of quasistatic crack growth." Doctoral thesis, SISSA, 2004. http://hdl.handle.net/20.500.11767/4203.

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Nika, Grigor. "Multiscale analysis of emulsions and suspensions with surface effects." Digital WPI, 2016. https://digitalcommons.wpi.edu/etd-dissertations/146.

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The better understanding of the behavior of emulsions and suspensions is important in many applications. In general, emulsions allow the delivery of insoluble agents to be uniformly distributed in a more efficient way. At the same time suspensions of rigid particles are used as “smart materials� as their properties can be changed by the interaction with a magnetic or electric field. In the first part of the talk we consider a periodic emulsion formed by two Newtonian fluids in which one fluid is dispersed under the form of droplets of arbitrary shape, in the presence of surface tension. We
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Negri, Matteo. "Numerical Methods for Free-Discontinuity Problems Based on Approximations by Γ-Convergence". Doctoral thesis, SISSA, 2001. http://hdl.handle.net/20.500.11767/4279.

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Ameismeier, Tobias [Verfasser], та Helmut [Akademischer Betreuer] Abels. "Thin Vibrating Rods: Γ-Convergence, Large Time Existence and First Order Asymptotics / Tobias Ameismeier ; Betreuer: Helmut Abels". Regensburg : Universitätsbibliothek Regensburg, 2021. http://d-nb.info/1236401433/34.

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Ponsiglione, Marcello. "Stability of Neumann problems and applications to the variational theory of crack propagation." Doctoral thesis, SISSA, 2004. http://hdl.handle.net/20.500.11767/4175.

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Orlando, Gianluca. "Some results on cohesive energies: approximation, lower semicontinuity and quasistatic evolution." Doctoral thesis, SISSA, 2016. http://hdl.handle.net/20.500.11767/4871.

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In this thesis, cohesive fracture is investigated under three different perspectives. First we study the asymptotic behaviour of a variational model for damaged elasto-plastic materials in the case of antiplane shear. The energy functionals we consider depend on a small parameter, which forces damage concentration on regions of codimension one. We determine the Gamma-limit as the small parameter tends to zero and show that it contains an energy term involving the crack opening. The second problem we consider is the lower semicontinuity of some free discontinuity functionals with linear gro
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Gloria, Antoine. "Modélisation et méthodes numériques multiéchelles en élasticité non linéaire." Phd thesis, Ecole des Ponts ParisTech, 2007. http://tel.archives-ouvertes.fr/tel-00166171.

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Ce travail porte principalement sur l'étude mathématique de méthodes numériques<br />pour l'homogénéisation de fonctionnelles intégrales utilisées en élasticité non linéaire. Ces mé-<br />thodes couplent, au niveau mésoscopique, un matériau hyperélastique hétérogène ou un réseau de<br />liens en interaction, avec, au niveau macroscopique, un modèle d'élasticité non linéaire. La loi de<br />constitution macroscopique est obtenue par la résolution de problèmes mésoscopiques, continus ou<br />discrets. Aux chapitres 1, 2 et 3 on introduit les modèles mécaniques et les outils mathématiques et<br /
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León, Baldelli Andreés Alessandro. "Sur la rupture des couches minces : une approche variationnelle." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2013. http://tel.archives-ouvertes.fr/tel-00921907.

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Nous étudions le problème de rupture des systèmes de couches minces soumis à contraintes de tension dues aux chargements mécaniques ou à d'autres phénomènes élastiques, associés e.g. à couplages thérmiques où humidité. Dans ces systèmes, chargements homogènes conduisent à la nucléation de fissures interagissantes transverses et de décollement, produisant l'auto-structuration de réseaux de fissures quasi-périodiques et la propagation de patterns complexes qui montrent caractéristiques morphologiques robustes. On s'intéresse à décrire l'évolution de ces fissures, en prenant en compte les phases
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Pelech, Petr. "Peridynamické a nelokální modely v mechanice kontinua pevných látek." Master's thesis, 2016. http://www.nusl.cz/ntk/nusl-352762.

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In this work we study peridynamics, a non-local model in continuum me- chanics introduced by Silling (2000). The non-locality is reflected in the fact that points at finite distance exert a force upon each other. If, however, these points are more distant than a characteristic length called horizon, it is customary to assume that they do not interact. We compare peridynamics with elasticity, especially in the limit of small horizon. We restrict ourselves, concerning this vanishing non-locality, to variational formulation of time- independent processes. We compute a Γ-limit for homogeneous and
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Hoppe, Helmer. "Homogenization of Rapidly Oscillating Riemannian Manifolds." 2020. https://tud.qucosa.de/id/qucosa%3A74376.

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In this thesis we study the asymptotic behavior of bi-Lipschitz diffeomorphic weighted Riemannian manifolds with techniques from the theory of homogenization. To do so we re-interpret the problem as different induced metrics on one reference manifold. Our analysis is twofold. On the one hand we consider second-order uniformly elliptic operators on weighted Riemannian manifolds. They naturally emerge when studying spectral properties of the Laplace-Beltrami operator on families of manifolds with rapidly oscillating metrics. We appeal to the notion of H-convergence introduced by Murat and Tartar
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Books on the topic "Γ-convergence"

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Dal Maso, Gianni. An Introduction to Γ-Convergence. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0327-8.

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Braides, Andrea. Local Minimization, Variational Evolution and Γ-Convergence. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-01982-6.

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Book chapters on the topic "Γ-convergence"

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Lewicka, Marta. "Γ-Convergence." In Calculus of Variations on Thin Prestressed Films. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-17495-7_2.

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Franzoni, T. "Abstract Γ-convergence." In Optimization and Related Fields. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0076709.

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Maso, Gianni Dal. "Γ-convergence and K-convergence". У An Introduction to Γ-Convergence. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0327-8_5.

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Maso, Gianni Dal. "Convergence of Resolvents and G-convergence". У An Introduction to Γ-Convergence. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0327-8_14.

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Maso, Gianni Dal. "Comparison with Pointwise Convergence". У An Introduction to Γ-Convergence. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0327-8_6.

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Maso, Gianni Dal. "Γ-convergence in Metric Spaces". У An Introduction to Γ-Convergence. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0327-8_10.

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Maso, Gianni Dal. "The Topology of Γ-convergence". У An Introduction to Γ-Convergence. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0327-8_11.

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Maso, Gianni Dal. "Integral Representation of Γ-limits". У An Introduction to Γ-Convergence. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0327-8_21.

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Maso, Gianni Dal. "Some Properties of Γ-limits". У An Introduction to Γ-Convergence. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0327-8_7.

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Maso, Gianni Dal. "Sequential Characterization of Γ-limits". У An Introduction to Γ-Convergence. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0327-8_9.

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Conference papers on the topic "Γ-convergence"

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BIROLI, M., та N. A. TCHOU. "Γ-CONVERGENCE FOR STRONGLY LOCAL DIRICHLET FORMS IN OPEN SETS WITH HOLES". У Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0066.

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Shi, Guanghui, Jianxiang Xi, Zhiliang Fan та Tang Zheng. "γ-Adaptive consensus control for multi-agent systems with adjustable convergence speed". У 2017 36th Chinese Control Conference (CCC). IEEE, 2017. http://dx.doi.org/10.23919/chicc.2017.8028715.

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Shi, Guanghui, Jianxiang Xi, Jiajing Wang та Zhicheng Yao. "γ-adaptive consensus control for leader-following multi-agent systems with adjustable convergence speed". У 2017 IEEE 2nd Information Technology, Networking, Electronic and Automation Control Conference (ITNEC). IEEE, 2017. http://dx.doi.org/10.1109/itnec.2017.8284962.

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Liu, Fawang, Pinghui Zhuang, and Kevin Burrage. "Stability and Convergence of Implicit Numerical Methods for a Class of Fractional Advection-Dispersion Models." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47071.

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In this paper, a class of fractional advection-dispersion models (FADM) is investigated. These models include five fractional advection-dispersion models: the immobile, mobile/immobile time FADM with a temporal fractional derivative 0 &lt; γ &lt; 1, the space FADM with skewness, both the time and space FADM and the time fractional advection-diffusion-wave model with damping with index 1 &lt; γ &lt; 2. They describe nonlocal dependence on either time or space, or both, to explain the development of anomalous dispersion. These equations can be used to simulate regional-scale anomalous dispersion
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Fang, Yilin, Hanke Zhang, Quan Liu, Zude Zhou, Bitao Yao, and Duc Truong Pham. "Interval Multi-Objective Evolutionary Optimization for Disassembly Line Balancing With Uncertain Task Time." In ASME 2020 15th International Manufacturing Science and Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/msec2020-8265.

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Abstract In the disassembly line balancing problem, the disassembly time of task is usually uncertain due to the influence of various factors. Interval number theory is very suitable to solve this problem. In this paper, a new interval mathematical model is proposed and the objectives are to minimize the cycle time and the total energy consumption of robots. To solve this problem, an evolutionary algorithm named γ based-NSGA-II for the interval multi-objective optimization is proposed. This algorithm directly solve the original interval multi-objective optimization problem by using interval Pa
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Liu, F., Q. Yang, and I. Turner. "Stability and Convergence of Two New Implicit Numerical Methods for the Fractional Cable Equation." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86578.

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The cable equation is one the most fundamental equations for modeling neuronal dynamics. Cable equations with fractional order temporal operators have been introduced to model electrotonic properties of spiny neuronal dendrites. In this paper we consider the following fractional cable equation involving two fractional temporal derivatives: ∂u(x,t)∂t=0Dt1−γ1κ∂2u(x,t)∂x2−μ02Dt1−γ2u(x,t)+f(x,t), where 0 &amp;lt; γ1,γ2 &amp;lt; 1, κ &amp;gt; 0, and μ02 are constants, and 0Dt1−γu(x,t) is the Rieman-Liouville fractional partial derivative of order 1 − γ. Two new implicit numerical methods with conve
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Fard Afshar, Nima, Felix M. Möller, Stefan Henninger та ін. "Assessment of the DDES-γ Model for the Simulation of a Highly Loaded Turbine Cascade". У ASME Turbo Expo 2023: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/gt2023-100670.

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Abstract The flow over the linear low-pressure turbine cascade MTU-T161 at Re = 90,000 is analyzed using Delayed Detached Eddy Simulations (DDES). At this operating point, the low Reynolds number and the high loading of the blade result in a separation bubble and a separation-induced transition of the flow over the suction side. The utilized DDES method is based on a vorticity-based formulation to calculate the subgrid length scales and it incorporates the one-equation γ-transition model. The computational model of the MTU-T161 cascade consists of one blade passage, including the diverging vis
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Owen, Landon D., Tao Xing, Donald M. McEligot, John C. Crepeau, and Ralph S. Budwig. "Laminar and Transitional Boundary Layer Entropy Generation Over a Flat Plate Under Favorable and Adverse Pressure Gradients." In ASME 2013 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/fedsm2013-16314.

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Minimizing entropy generation is important to improve the efficiency of any system. The objective of this study is to use computational fluid dynamics (CFD) to elucidate the effects of pressure gradients on entropy generation rates in laminar and transitional boundary layers. The commercial CFD software, ANSYS FLUENT, is employed. The favorable and adverse pressure gradients are generated using various curved slip top walls. Bypass transition is simulated using the mean inlet velocity and Reynolds stresses from the direct numerical simulation (DNS) conducted by Nolan and Zaki [1]. Various turb
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Tan, Qinxue, Jing Ren, and Hongde Jiang. "Prediction of 3D Unsteady Flow and Heat Transfer in Rotating Cavity by Discontinuous Galerkin Method and Transition Model." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-26584.

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Rotating cavities with axial throughflow are found inside the compressor rotors of turbo-machines. The flow pattern and heat transfer in the cavities are known as sophisticated problems. Because of the numerical errors and model errors, as well as the stiffness introduced by low-Ma number, prediction of 3D unsteady flow and heat transfer in rotating cavity is still a challenge for modern CFD technology. An in-house 3D unsteady CFD code was developed in this study. The discontinuous galerkin method, which can fulfill any high-order accuracy on the unstructured grid, was applied to reduce the di
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