Academic literature on the topic 'Semi-infinite domains'

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Journal articles on the topic "Semi-infinite domains"

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Deconinck, Bernard, Beatrice Pelloni, and Natalie E. Sheils. "Non-steady-state heat conduction in composite walls." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2165 (2014): 20130605. http://dx.doi.org/10.1098/rspa.2013.0605.

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The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but neither temperature nor heat flux is prescribed there. Instead, the physical assumptions of their continuity at the interfaces are the only conditions imposed. The problem of two semi-infinite domains and that of two finite-sized domains are examined in detail. We indicate also how to extend the solution method to the setting of one finite-sized domain surrounde
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Meng, Yunji, Renxia Ning, Kun Ma, Zheng Jiao, Haijiang Lv, and Youwen Liu. "Defect solitons supported by nonlinear fractional Schrödinger equation with a defective lattice." Journal of Nonlinear Optical Physics & Materials 28, no. 02 (2019): 1950021. http://dx.doi.org/10.1142/s0218863519500218.

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We investigate numerically the existence and stability of defect solitons in nonlinear fractional Schrödinger equation. For positive defects, defect solitons are only existent in the semi-infinite gap and are stable in their whole existence domain irrespective of Lévy index. For moderate deep defects, defect solitons are existent in both the semi-infinite gap and first gap, and their instability domains occur in the low-power region of the semi-infinite gap. While for deep enough defects, stable defect solitons can be found in the second gap. Increasing the strength of defect (or Lévy index) w
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Worledge, Daniel, Edgar Knobloch, Steven Tobias, and Michael Proctor. "Dynamo waves in semi–infinite and finite domains." Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 453, no. 1956 (1997): 119–43. http://dx.doi.org/10.1098/rspa.1997.0008.

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Chernukha, Nikita. "New Numerical Methods for Structural Mechanics Problems in Unbounded Domains." Applied Mechanics and Materials 725-726 (January 2015): 848–53. http://dx.doi.org/10.4028/www.scientific.net/amm.725-726.848.

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The article is devoted to the problem of numerical simulation of unbounded domains in structural mechanics. Nowadays there are many numerical methods to analyze structural mechanics problems in infinite domains. A brief analytical review of existing numerical methods is presented. Among them are finite difference method, boundary element method (BEM), finite element method (FEM) and scaled boundary finite element method (SBFEM). No one suggests general approach for all kinds of problem statements. Vast majority of industrial software realize FEM. Considering this fact it is more reasonable to
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Na, Seong-Won, and Loukas F. Kallivokas. "Direct time-domain soil profile reconstruction for one-dimensional semi-infinite domains." Soil Dynamics and Earthquake Engineering 29, no. 6 (2009): 1016–26. http://dx.doi.org/10.1016/j.soildyn.2008.12.003.

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Heider, Yousef, Bernd Markert, and Wolfgang Ehlers. "Dynamic Wave Propagation in Porous Media Semi-Infinite Domains." PAMM 10, no. 1 (2010): 499–500. http://dx.doi.org/10.1002/pamm.201010242.

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Kielhorn, Lars, and Martin Schanz. "An elastodynamic Galerkin Boundary Element Formulation for semi-infinite domains in time-domain." PAMM 8, no. 1 (2008): 10295–96. http://dx.doi.org/10.1002/pamm.200810295.

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Gudimenko, A. I. "Heat flow in a one-dimensional semi-infinite harmonic lattice with an absorbing boundary." Dal'nevostochnyi Matematicheskii Zhurnal 20, no. 1 (2020): 38–51. http://dx.doi.org/10.47910/femj202004.

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Traditionally, absorbing boundary conditions are used to limit the domains of numerical approximation of partial differential equations in infinite domains. In the present paper, the simplest of these conditions is used to obtain an analytical approximation of the solution to the problem of heat propagation in a one-dimensional infinite harmonic lattice consisting of two semi-infinite homogeneous sublattices with different mechanical characteristics.
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Gao, Lin, Zhizhen Zhang, and Yan Xing. "Analytical solutions of biharmonic equation by the Fourier-Yang integral transform." Thermal Science 23, Suppl. 3 (2019): 765–71. http://dx.doi.org/10.2298/tsci180510091g.

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The biharmonic equation are frequently encountered in CFD. In this investigation, the biharmonic equation in the semi-infinite domains is addressed using a new Fourier-like integral transform proposed in [1]. The properties of the new Fourier-like integral transform are expanded in this article. Meanwhile, the analytical solutions for the biharmonic equation in the semi-infinite domains are found. This demonstrates the new Fourier-like integral transform is an efficient and accurate method to clarify mathematical physics problems described by PDE.
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Esmaeilzadeh Seylabi, E., C. Jeong, and E. Taciroglu. "Modal and nodal impedance functions for truncated semi-infinite soil domains." Soil Dynamics and Earthquake Engineering 92 (January 2017): 192–202. http://dx.doi.org/10.1016/j.soildyn.2016.09.037.

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Dissertations / Theses on the topic "Semi-infinite domains"

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Kang, Jun Won 1975. "A mixed unsplit-field PML-based scheme for full waveform inversion in the time-domain using scalar waves." Thesis, 2010. http://hdl.handle.net/2152/ETD-UT-2010-05-1263.

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We discuss a full-waveform based material profile reconstruction in two-dimensional heterogeneous semi-infinite domains. In particular, we try to image the spatial variation of shear moduli/wave velocities, directly in the time-domain, from scant surficial measurements of the domain's response to prescribed dynamic excitation. In addition, in one-dimensional media, we try to image the spatial variability of elastic and attenuation properties simultaneously. To deal with the semi-infinite extent of the physical domains, we introduce truncation boundaries, and adopt perfectly-matched-layers (PM
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Koushik, S. "Estimation of Stress Concentration and Stress Intensity Factors by a Semi-Analytical Method." Thesis, 2017. http://etd.iisc.ernet.in/2005/3632.

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The presence of notches or cracks causes stresses to amplify in nearby regions. This phenomenon is studied by estimating the Stress Concentration Factor (SCF) for notches, and the Stress Intensity Factor (SIF) for cracks. In the present work, a semi-analytical method under the framework of linear elasticity is developed to give an estimate of these factors, particularly for cracks and notches in finite domains. The solution technique consists of analytically deriving a characteristic equation based on the general solution and homogeneous boundary conditions, and then using the series form of t
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Book chapters on the topic "Semi-infinite domains"

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White, Ralph E., and Venkat R. Subramanian. "Partial Differential Equations in Semi-infinite Domains." In Computational Methods in Chemical Engineering with Maple. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-04311-6_4.

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Selezov, Igor T., Yuriy G. Kryvonos, and Ivan S. Gandzha. "Wave Diffraction by Convex Bodies in Semi-infinite Domains." In Foundations of Engineering Mechanics. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-4923-1_5.

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Busse, F. H. "Bounds for Turbulent Transports in Problems with Semi—Infinite Fluid Domains." In Advances in Turbulence IV. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1689-3_4.

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Titeux, Isabelle, and Yakov Yakubov. "Basis property of elementary solutions for second order elliptic equations in semi-infinite tube domains." In Application of Abstract Differential Equations to Some Mechanical Problems. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-007-1080-1_5.

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Titeux, Isabelle, and Yakov Yakubov. "Completeness of elementary solutions of problems for second and fourth orders elliptic equations in semi-infinite tube domains." In Application of Abstract Differential Equations to Some Mechanical Problems. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-007-1080-1_4.

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Sabino, Thales Luis, Diego Brandão, Marcelo Zamith, et al. "Implementation Aspects of the 3D Wave Propagation in Semi-infinite Domains Using the Finite Difference Method on a GPU Based Cluster." In Computational Science and Its Applications – ICCSA 2014. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09153-2_32.

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Blondin, Michael, Christoph Haase, and Philip Offtermatt. "Directed Reachability for Infinite-State Systems." In Tools and Algorithms for the Construction and Analysis of Systems. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72013-1_1.

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AbstractNumerous tasks in program analysis and synthesis reduce to deciding reachability in possibly infinite graphs such as those induced by Petri nets. However, the Petri net reachability problem has recently been shown to require non-elementary time, which raises questions about the practical applicability of Petri nets as target models. In this paper, we introduce a novel approach for efficiently semi-deciding the reachability problem for Petri nets in practice. Our key insight is that computationally lightweight over-approximations of Petri nets can be used as distance oracles in classical graph exploration algorithms such as $$\mathsf {A}^{*}$$ A ∗ and greedy best-first search. We provide and evaluate a prototype implementation of our approach that outperforms existing state-of-the-art tools, sometimes by orders of magnitude, and which is also competitive with domain-specific tools on benchmarks coming from program synthesis and concurrent program analysis.
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Articolo, George A. "Infinite and Semi-infinite Spatial Domains." In Partial Differential Equations & Boundary Value Problems with Maple. Elsevier, 2009. http://dx.doi.org/10.1016/b978-0-12-374732-7.00012-3.

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"Solution of the Heat Equation for Semi-Infinite and Infinite Domains." In Heat Conduction. John Wiley & Sons, Inc., 2012. http://dx.doi.org/10.1002/9781118411285.ch6.

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CHUHAN, ZHANG, and SONG CHONGMIN. "Boundary Element Technique in Infinite and Semi-infinite Plane Domain." In Boundary Elements. Elsevier, 1986. http://dx.doi.org/10.1016/b978-0-08-034357-0.50067-5.

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Conference papers on the topic "Semi-infinite domains"

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Kim, Jae-Wan, Vasundara V. Varadan, and Vijay K. Varadan. "FEM modeling of infinite/semi-infinite domains by using slope constraint and drilling degrees of freedom (d.o.f.)." In Smart Structures & Materials '95, edited by Vasundara V. Varadan. SPIE, 1995. http://dx.doi.org/10.1117/12.208840.

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Song, Hao, and Longbin Tao. "Wave Interaction With an Infinite Long Horizontal Elliptical Cylinder." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49829.

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Wave-structure interaction in ocean engineering is a major source of unsteady loading and vibration of offshore structures including platforms, risers and long cables. Many efforts focus on vertical structures in which solution procedures can usually be simplified in the plane of mean free surface as the variable in the direction of gravity can be separated. In this paper, wave interaction with an infinite long horizontal elliptical cylinder is solved by a semi-analytical method, namely, the scaled boundary finite-element method (SBFEM). The solution domain is divided into two bounded domains
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Stewart, Kelley C., and Pavlos P. Vlachos. "Vortex Ring Formation in Wall-Bounded Domains." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-31055.

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Vortex ring formation and propagation have been studied extensively in quiescent semi-infinite volumes. However, very little is known about the dynamics of vortex-ring formation in wall-bounded domains where vortex wall interaction will affect both the vortex ring pinch-off and propagation velocity. This study addresses this limitation and studies vortex formation in radially confined domains to analyze the effect of vortex-ring wall interaction on the formation and propagation of the vortex ring. Vortex rings were produced using a pneumatically driven piston cylinder arrangement and were ejec
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Kallivokas, Loukas F., and Jacobo Bielak. "Transient and Time-Harmonic Infinite Elements for Near-Surface Computations of Three-Dimensional Structures Submerged in a Half-Space." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0401.

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Abstract This paper is concerned with the numerical solution by the finite element method of transient and time-harmonic three-dimensional acoustic scattering problems in infinite and semi-infinite domains. Its main objective is to illustrate how a local second-order surface-only infinite element — either transient or time-harmonic — developed recently for the three-dimensional wave equation in a full-space can be applied readily to scattering problems with penetrable objects near a planar free surface. Taking a problem in structural acoustics as a prototype, the combined infinite element-fini
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Wagner, G., M. Kotulla, P. Ott, B. Weigand, and J. von Wolfersdorf. "The Transient Liquid Crystal Technique: Influence of Surface Curvature and Finite Wall Thickness." In ASME Turbo Expo 2004: Power for Land, Sea, and Air. ASMEDC, 2004. http://dx.doi.org/10.1115/gt2004-53553.

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The transient liquid crystal technique is nowadays widely used for measuring the heat transfer characteristics in gas turbine applications. Usually, the assumption is made that the wall of the test model can be treated as a flat and semi-infinite solid. This assumption is correct as long as the penetration depth of the heat compared to the thickness of the wall and to the radius of curvature is small. However, those two assumptions are not always respected for measurements near the leading edge of a blade. This paper presents a rigorous treatment of the curvature and finite wall thickness effe
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Grigoriev, M. M., and G. F. Dargush. "Multi-Level Boundary Element Methods for Steady Heat Diffusion in Three-Dimensions." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81884.

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We have recently developed a novel multi-level boundary element method (MLBEM) for steady heat diffusion in irregular two-dimensional domains (Numerical Heat Transfer Part B: Fundamentals, 46: 329–356, 2004). This presentation extends the MLBEM methodology to three-dimensional problems. First, we outline a 3-D MLBEM formulation for steady heat diffusion and discuss the differences between multi-level algorithms for two and three dimensions. Then, we consider an example problem that involves heat conduction in a semi-infinite three-dimensional domain. We investigate the performance of the MLBEM
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Gutierrez, Gustavo, and Juan Guillermo Araya. "Analytical Solution for a Transient Three-Dimensional Temperature Distribution in Laser Assisted Machining Processes." In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/ht-fed2004-56695.

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Laser assisted machining is a recent technique for machining brittle ceramic materials by first softening them by heating the material with a laser beam, without reaching the melting point and, in this way, minimizing the damage of the workpiece and tool. The use of a laser source is a common procedure in numerous electronic and optical material processes. This research presents a new analytical solution to determine transient temperature distributions in a finite solid when it is heated by a moving heat source. The analytical solution is obtained by solving the transient three-dimensional hea
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Steuben, John C., Andrew J. Birnbaum, Athanasios P. Iliopoulos, and John G. Michopoulos. "Enriched Analytical Solutions for Additive Manufacturing Modeling and Simulation." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-86011.

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Additive Manufacturing (AM) is an increasingly widespread family of technologies for the fabrication of objects based on successive depositions of mass and energy. A strong need for modeling and simulation tools for AM exists, in order to predict thermal histories, residual stresses, microstructure, and various other aspects of the resulting components. In this paper we explore the use of analytic solutions to model the thermal aspects of AM, in an effort to achieve high computational performance and enable “in the loop” use for feedback control of AM processes. It is shown that the utility of
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Ye, Dan, Yijia Sun, Yawei Li, and Kexing Guo. "Semi-infinite Domain Artificial Boundary Conditions in Dynamic Analysis." In 2015 International Power, Electronics and Materials Engineering Conference. Atlantis Press, 2015. http://dx.doi.org/10.2991/ipemec-15.2015.74.

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Akkaya, Tugce, and Wim T. van Horssen. "On Boundary Damping for Semi-Infinite Strings and Beams." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-50457.

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In this paper, initial boundary value problems for a linear string and beam equation are considered. The main aim is to study the reflection of an incident wave at the boundary and the damping properties for different types of boundary conditions such as a mass-spring-dashpot for semi-infinite strings, and pinned, sliding, clamped and damping boundary conditions for semi-infinite beams. The system of transverse vibrations are divided into model 1 and model 2 which are described as a string problem and beam problem, respectively. In order to construct explicit solutions of the boundary value pr
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