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Добірка наукової літератури з теми "Ventcel boundary conditions"

Автор: Grafiati

Опубліковано: 7 грудня 2024

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Статті в журналах з теми "Ventcel boundary conditions"

Lancia, Maria Rosaria, and Paola Vernole. "Semilinear Evolution Problems with Ventcel-Type Conditions on Fractal Boundaries." International Journal of Partial Differential Equations 2014 (January 22, 2014): 1–13. http://dx.doi.org/10.1155/2014/461046.

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A semilinear parabolic transmission problem with Ventcel's boundary conditions on a fractal interface S or the corresponding prefractal interface Sh is studied. Regularity results for the solution in both cases are proved. The asymptotic behaviour of the solutions of the approximating problems to the solution of limit fractal problem is analyzed.

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Cavalcanti, Marcelo M., Valéria N. Domingos Cavalcanti, Ryuichi Fukuoka, and Daniel Toundykov. "Stabilization of the damped wave equation with Cauchy–Ventcel boundary conditions." Journal of Evolution Equations 9, no. 1 (February 21, 2009): 143–69. http://dx.doi.org/10.1007/s00028-009-0002-1.

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Krasnoshchok, Mykola. "Dirihlet-Ventcel bounsdary problem for Laplace equation in an unbounded sector." Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine 37 (June 27, 2023): 24–37. http://dx.doi.org/10.37069/1683-4720-2023-37-3.

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We are concerned with boundary value problems for Laplace equation in an unbounded sector $s_\theta$ with vertex at the origin, the boundary conditions being of mixed type and jumping at corner. The boundary conditions are these: Dirichlet datum on one of the radial lines, while on the other the values of an Ventcel boundary condition is prescribed. We are interested in looking for solutions having a prescribed degree of smoothness up to the origin: more precisely we search for solutions of problem having all the derivatives up to the order that are square integrable with a power weight. This problem has a background in physical modeling of electrostatic or thermal imaging. Determining the geometry and the physical nature of an corrosion within a conducting medium from voltage and current measurements on the accessible boundary of the medium can be modeled as an inverse boundary value problem for the Laplace equation subject to appropriate boundary conditions on the corrosion surface. We are interesting in investigation of a regularity properties of solution to the @direct@ problem. Applying Mellin transform we pass to a finite difference equation.We use the methods of V.A.Solonnikov and E.V.Frolova just as in the case of the analogous finite difference equation obtained under the Dirichlet or the Neumann conditions indstead of the Ventcel condition in our case. We obtain the sulution of homogeneous difference equation in the form of infinite product. Then we find asymptotic formulas for this solution.Returning to nonhomogeneous differerence equation we find its solution in the form of contour integral. we define the solution of the starting problem by the help of the inverse Mellin transform. We estimate this solution in the norm of V.Kondratiev spaces $H^k_\mu(s_\theta$ under some conditions on weight $\mu$, higher order of derivatives $k$ and the opening of the angle $\theta$.

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Cavalcanti, Marcelo M., Ammar Khemmoudj, and Mohamed Medjden. "Uniform stabilization of the damped Cauchy–Ventcel problem with variable coefficients and dynamic boundary conditions." Journal of Mathematical Analysis and Applications 328, no. 2 (April 2007): 900–930. http://dx.doi.org/10.1016/j.jmaa.2006.05.070.

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Caubet, Fabien, Joyce Ghantous, and Charles Pierre. "A Priori Error Estimates of a Poisson Equation with Ventcel Boundary Conditions on Curved Meshes." SIAM Journal on Numerical Analysis 62, no. 4 (August 8, 2024): 1929–55. http://dx.doi.org/10.1137/23m1582497.

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Kanoune, A., and N. Mehidi. "Stabilization and control of subcritical semilinear wave equation in bounded domain with Cauchy-Ventcel boundary conditions." Applied Mathematics and Mechanics 29, no. 6 (June 2008): 787–800. http://dx.doi.org/10.1007/s10483-008-0610-x.

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Campiti, M., and G. Metafune. "Ventcel's boundary conditions and analytic semigroups." Archiv der Mathematik 70, no. 5 (May 1, 1998): 377–90. http://dx.doi.org/10.1007/s000130050210.

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Buffe, Rémi. "Stabilization of the wave equation with Ventcel boundary condition." Journal de Mathématiques Pures et Appliquées 108, no. 2 (August 2017): 207–59. http://dx.doi.org/10.1016/j.matpur.2016.11.001.

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Zeng, Yi, and Yousong Luo. "Linear parabolic equations with venttsel initial boundary conditions." Bulletin of the Australian Mathematical Society 50, no. 3 (December 1994): 465–79. http://dx.doi.org/10.1017/s0004972700013587.

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The Schauder estimates for solutions of linear second order parabolic equations with Venttsel initial boundary conditions are proved, and existence and uniqueness of classical solutions under such an initial boundary condition are established. An application to an engineering problem is also given.

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Luo, Yousong, and Neil S. Trudinger. "Linear second order elliptic equations with Venttsel boundary conditions." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 118, no. 3-4 (1991): 193–207. http://dx.doi.org/10.1017/s0308210500029048.

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SynopsisWe prove a Schauder estimate for solutions of linear second order elliptic equations with linear Venttsel boundary conditions, and establish an existence result for classical solutions for such boundary value problems.

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Більше джерел

Дисертації з теми "Ventcel boundary conditions"

Ghantous, Joyce. "Prise en compte de conditions aux bords d'ordre élevé et analyse numérique de problèmes de diffusion sur maillages courbes à l'aide d'éléments finis d'ordre élevé." Electronic Thesis or Diss., Pau, 2024. http://www.theses.fr/2024PAUU3024.

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Cette thèse porte sur l'analyse numérique d'équations aux dérivées partielles impliquant des conditions de bord d'ordre élevé de type Ventcel en utilisant la méthode des éléments finis. Afin de définir l'opérateur de Laplace-Beltrami intervenant dans la condition au bord, le domaine est supposé lisse : ainsi le domaine maillé ne correspond pas au domaine physique initial, entrainant une erreur géométrique. Nous utilisons alors des maillages courbes afin de réduire cette erreur et définissons un opérateur de lift permettant de comparer la solution exacte définie sur le domaine initial et la solution approchée définie sur le domaine discrétisé. Nous obtenons alors des estimations d'erreur a priori, exprimées en termes d'erreur d'approximation par éléments finis et d'erreur géométrique. Nous étudions des problèmes avec termes sources et des problèmes spectraux ainsi que des équations scalaires et les équations vectorielles de l'élasticité linéaire. Des expériences numériques en 2D et 3D valident et complètent ces résultats théoriques, soulignant en particulier l'optimalité des erreurs obtenues. Ces simulations permettent également d'identifier une super-convergence des erreurs sur les maillages quadratiques
This thesis focuses on the numerical analysis of partial differential equations involving high-order boundary conditions of the Ventcel type using the finite element method. To define the Laplace-Beltrami operator involved in the boundary condition, the domain is assumed to be smooth: thus, the meshed domain does not correspond to the initial physical domain, resulting in a geometric error. We then use curved meshes to reduce this error and define a lift operator that allows comparing the exact solution defined on the initial domain with the approximate solution defined on the discretized domain. We obtain a priori error estimates, expressed in terms of finite element approximation error and geometric error. We study problems with source terms and spectral problems, as well as scalar equations and vector equations of linear elasticity. Numerical experiments in 2D and 3D validate and complement these theoretical results, particularly highlighting the optimality of the obtained errors. These simulations also identify a super-convergence of the errors on quadratic meshes

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Lo, Yu-sung. "Nonlinear second order elliptic equations with Venttsel boundary conditions." Phd thesis, 1989. http://hdl.handle.net/1885/136653.

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This thesis is concerned with second order elliptic equations with cenain second order boundary conditions which are called Venttsel boundary conditions. This sort of boundary condition originally came from probability theory. An example of such a boundary value problem of PDE also arises from a model in three dimensional water wave theory. Venttsel boundary conditions contain Dirichlet, Neumann, oblique and mixed boundary conditions as special cases, and from the probability point of view they are the most general admissible boundary conditions for second order elliptic operators.

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Частини книг з теми "Ventcel boundary conditions"

Taira, Kazuaki. "Feller Semigroups with a First Order Ventcel’ Boundary Condition." In Real Analysis Methods for Markov Processes, 645–58. Singapore: Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-3659-1_25.

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Тези доповідей конференцій з теми "Ventcel boundary conditions"

Islam, A. K. M. Sadrul, M. Ruhul Amin, Shama F. Barna, Arafat A. Bhuiyan, and M. H. Banna. "Mixed Convection and Entropy Generation Characteristics Inside a Porous Cavity With Viscous Dissipation Effect." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10883.

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This paper examines and explains two-dimensional, steady mixed convection flow in a porous square vented cavity. The interaction between the buoyancy stemming from one or more heated elements inside a microstructure filled vented enclosure and an imposed forced flow forms the topic of this investigation. Analysis has been carried out for two different boundary conditions. Initial investigations are carried out for walls of the enclosure being isothermal. A second stage of analysis is performed keeping only the left wall isothermal and other three walls adiabatic. Natural convection takes place due to temperature difference between the isothermal wall and the fluid. Forced convection condition is imposed by providing an inlet and a square vent inside the enclosure filled with fluid saturated porous medium. The mathematical model is developed using modified Darcy flow model and energy equation. Through the adaptation of the well known finite element method, solution to this numerical problem is obtained. Governing parameters chosen are Peclet Number (Pe), Rayleigh Number (Ra), Aspect ratio (AR) and the width of the inlet as a fraction of the width (I/W) of the enclosure. For detailed analysis different value of these parameters such as five Rayleigh Numbers (1, 50, 100, 500 and 1000) and seven different Peclet Numbers (0.1, 1, 5, 10, 20, 50 and 100) are considered. Effect of inlet to cavity width ratio is examined within the range 0.1 ≤ I/W ≤ 0.5 for a particular aspect ratio. The performance of the enclosure in both cases; are determined by flow visualization and by analyzing different parameters such as Bejan Number, Nusselt Number and Entropy Generation Number. Isotherms, streamlines show substantial variation in their pattern or magnitude. Average Nusselt number and average Bejan Number increases whereas Average energy flux density decreases with increasing I/W. These fluctuations also vary for different Rayleigh or Peclet numbers. The results for both the boundary conditions are also compared to find the most effective value of I/W.

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Manzini, Giovanni, Ivo Kljenak, and Mantas Povilaitis. "Vented Explosion Phenomena: Hydrogen Combustion Benchmark on Confined Vessel Experiments." In 2016 24th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/icone24-60584.

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Confined vented explosion is a very complex topic as many parameters affect the phenomena, mainly because the flame front develops from an ignition source and travels through a medium which may involve complex boundary conditions and obstructions of various geometries. Therefore, in the plant safety assessing step, it is important to provide correct estimates of the flame spreading rates as well as overpressures which may result from various explosion initiation scenarios. This will help designers for plant layout optimisation with the aim to minimize the risk associated with those events. Although hydrogen explosion in unvented compartments was often simulated in the past, there were not many opportunities, so far, to simulate explosion in a vented room. With this purpose, a benchmark exercise was organized, based on simple hydrogen combustion experiments, performed in a vented compartment (Chamber for View of Explosion – CVE) at the Scalbatraio laboratory of University of Pisa (Italy). In that activity, many tests were performed by varying the initial hydrogen concentration and the obstacles inside the compartment. The numerical codes used in the benchmark were lumped-parameter (LP) ones (ECART, ASTEC), which remain, for the time being, the customary tools for simulating hydrogen combustion accidents in current NPPs, because of their fast-running calculation capabilities also for large-scale scenarios.

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Gil, Antonio, Carlos Micó, Javier Marco-Gimeno, and Mar Castro Espín. "Numerical Approach for the Characterization of the Venting Process of Cylindrical Cells under Thermal Runaway Conditions." In SAE/AABC - EV Mobility 2030. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2024. http://dx.doi.org/10.4271/2024-01-2900.

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<div class="section abstract"><div class="htmlview paragraph">Increasing awareness of the harmful effects on the environment of traditional Internal Combustion Engines (ICE) drives the industry toward cleaner powertrain technologies such as battery-driven Electric Vehicles (EV). Nonetheless, the high energy density of Li-Ion batteries can cause strong exothermic reactions under certain conditions that can lead to catastrophic results, called Thermal Runaway (TR). Hence, a strong effort is being made to understand this phenomenon and increase battery safety. Specifically, the vented gases and their ignition can cause the propagation of this phenomenon to adjacent batteries in a pack. In this work, Computational Fluid Dynamics (CFD) is employed to predict this venting process in an LG18650 cylindrical battery. The shape of the venting cap deformation obtained from experimental results was introduced in the computational model. The ejection of the generated gases was considered to analyze its dispersion in the surrounding volume through a Reynolds-Averaged Navier-Stokes (RANS) approach. Initial work has focused on developing an appropriate methodology to set the proper boundary conditions that faithfully recreate these events, including a total pressure-inlet, pressure-outlet configuration. Once achieved, macroscopic characteristics of the jet, including tip penetration and jet angle, have been extracted and compared against results obtained from the Schlieren technique for the initial venting stage (1st venting). The numerical procedure shows a good agreement with experimental results in the characteristics analyzed, allowing to overcome the limited field-of-view of Schlieren results by providing a complete representation of the spray morphology, resulting in an appropriate methodology for predicting cell venting jets.</div></div>

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Звіти організацій з теми "Ventcel boundary conditions"

Popivanov, Petar, and Angela Slavova. On Ventcel's Type Boundary Condition for Laplace Operator in a Sector. Journal of Geometry and Symmetry in Physics, 2013. http://dx.doi.org/10.7546/jgsp-31-2013-119-130.

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