Relevant bibliographies by topics / Inhomogeneous Neumann boundary conditions

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Inhomogeneous Neumann boundary conditions'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "Inhomogeneous Neumann boundary conditions"

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Du, Runmei, and Minghao Guo. "FUJITA CRITICAL CURVE FOR A COUPLED DIFFUSION SYSTEM WITH INHOMOGENEOUS NEUMANN BOUNDARY CONDITIONS∗." Mathematical Modelling and Analysis 21, no. 2 (2016): 260–69. http://dx.doi.org/10.3846/13926292.2016.1150904.

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In this paper, we establish the blow-up theorems of Fujita type for a class of exterior problems of nonlinear diffusion equations subject to inhomogeneous Neumann boundary conditions. The critical Fujita exponents are determined and it is shown that the critical curve belongs to the blow-up case under any nontrivial initial data.
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Şener, Sıdıka Şule, Yeşim Saraç, and Murat Subaşı. "Weak solutions to hyperbolic problems with inhomogeneous Dirichlet and Neumann boundary conditions." Applied Mathematical Modelling 37, no. 5 (2013): 2623–29. http://dx.doi.org/10.1016/j.apm.2012.08.010.

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Deuring, Paul, and Robert Eymard. "L2-stability of a finite element – finite volume discretization of convection-diffusion-reaction equations with nonhomogeneous mixed boundary conditions." ESAIM: Mathematical Modelling and Numerical Analysis 51, no. 3 (2017): 919–47. http://dx.doi.org/10.1051/m2an/2016042.

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We consider a time-dependent and a steady linear convection-diffusion-reaction equation whose coefficients are nonconstant. Boundary conditions are mixed (Dirichlet and Robin−Neumann) and nonhomogeneous. Both the unsteady and the steady problem are approximately solved by a combined finite element – finite volume method: the diffusion term is discretized by Crouzeix−Raviart piecewise linear finite elements on a triangular grid, and the convection term by upwind barycentric finite volumes. In the unsteady case, the implicit Euler method is used as time discretization. This scheme is shown to be
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HARARI, ISAAC. "ACCURATE FINITE DIFFERENCE REPRESENTATION OF NEUMANN BOUNDARY DATA FOR TIME-HARMONIC WAVE PROPAGATION." Journal of Computational Acoustics 04, no. 04 (1996): 425–32. http://dx.doi.org/10.1142/s0218396x96000167.

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Finite difference stencils for inhomogeneous Neumann boundary conditions in acoustic problems with arbitrary source distributions are constructed and analyzed. Boundary stencils are compatible with corresponding interior stencils, preserving symmetry of matrix equations without degrading global accuracy. Higher-order accuracy is attained within the compact support of lower-order methods. Results are verified by local truncation error analysis.
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Sakurai, Teluo, Katsunori Yoshimatsu, Naoya Okamoto, and Kai Schneider. "Volume penalization for inhomogeneous Neumann boundary conditions modeling scalar flux in complicated geometry." Journal of Computational Physics 390 (August 2019): 452–69. http://dx.doi.org/10.1016/j.jcp.2019.04.008.

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ANTOINE, XAVIER, CHRISTOPHE BESSE, and PAULINE KLEIN. "ABSORBING BOUNDARY CONDITIONS FOR THE TWO-DIMENSIONAL SCHRÖDINGER EQUATION WITH AN EXTERIOR POTENTIAL PART I: CONSTRUCTION AND A PRIORI ESTIMATES." Mathematical Models and Methods in Applied Sciences 22, no. 10 (2012): 1250026. http://dx.doi.org/10.1142/s0218202512500261.

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The aim of this paper is to construct some classes of absorbing boundary conditions for the two-dimensional Schrödinger equation with a time and space varying exterior potential and for general convex smooth boundaries. The construction is based on asymptotics of the inhomogeneous pseudodifferential operators defining the related Dirichlet-to-Neumann operator. Furthermore, a priori estimates are developed for the truncated problems with various increasing order boundary conditions. The effective numerical approximation will be treated in a second paper.
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Algazin, O. D., and A. V. Kopaev. "A Mixed Boundary Value Problem for the Laplace Equation in a semi-infinite Layer." Mathematics and Mathematical Modeling, no. 5 (February 6, 2021): 1–12. http://dx.doi.org/10.24108/mathm.0520.0000229.

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The paper offers a solution of the mixed Dirichlet-Neumann and Dirichlet-Neumann-Robin boundary value problems for the Laplace equation in the semi-infinite layer, using the previously obtained solution of the mixed Dirichlet-Neumann boundary value problem for a layer.The functions on the right-hand sides of the boundary conditions are considered to be functions of slow growth, in particular, polynomials. The solution to boundary value problems is also sought in the class of functions of slow growth. Continuing the functions on the right-hand sides of the boundary conditions on the upper and l
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Wang, Jianqiang, Wei Hu, Xiaobing Zhang, and Wenxiao Pan. "Modeling heat transfer subject to inhomogeneous Neumann boundary conditions by smoothed particle hydrodynamics and peridynamics." International Journal of Heat and Mass Transfer 139 (August 2019): 948–62. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2019.05.054.

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Thirumalaisamy, Ramakrishnan, Nishant Nangia, and Amneet Pal Singh Bhalla. "Critique on “Volume penalization for inhomogeneous Neumann boundary conditions modeling scalar flux in complicated geometry”." Journal of Computational Physics 433 (May 2021): 110163. http://dx.doi.org/10.1016/j.jcp.2021.110163.

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Xue, Changfeng, Robert Edmiston, and Shaozhong Deng. "Image Theory for Neumann Functions in the Prolate Spheroidal Geometry." Advances in Mathematical Physics 2018 (2018): 1–13. http://dx.doi.org/10.1155/2018/7683929.

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Interior and exterior Neumann functions for the Laplace operator are derived in terms of prolate spheroidal harmonics with the homogeneous, constant, and nonconstant inhomogeneous boundary conditions. For the interior Neumann functions, an image system is developed to consist of a point image, a line image extending from the point image to infinity along the radial coordinate curve, and a symmetric surface image on the confocal prolate spheroid that passes through the point image. On the other hand, for the exterior Neumann functions, an image system is developed to consist of a point image, a
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Dissertations / Theses on the topic "Inhomogeneous Neumann boundary conditions"

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Eschke, Andy. "Analytical solution of a linear, elliptic, inhomogeneous partial differential equation with inhomogeneous mixed Dirichlet- and Neumann-type boundary conditions for a special rotationally symmetric problem of linear elasticity." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-149965.

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The analytical solution of a given inhomogeneous boundary value problem of a linear, elliptic, inhomogeneous partial differential equation and a set of inhomogeneous mixed Dirichlet- and Neumann-type boundary conditions is derived in the present paper. In the context of elasticity theory, the problem arises for a non-conservative symmetric ansatz and an extended constitutive law shown earlier. For convenient user application, the scalar function expressed in cylindrical coordinates is primarily obtained for the general case before being expatiated on a special case of linear boundary condition
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Bringmann, Philipp. "Adaptive least-squares finite element method with optimal convergence rates." Doctoral thesis, Humboldt-Universität zu Berlin, 2021. http://dx.doi.org/10.18452/22350.

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Die Least-Squares Finite-Elemente-Methoden (LSFEMn) basieren auf der Minimierung des Least-Squares-Funktionals, das aus quadrierten Normen der Residuen eines Systems von partiellen Differentialgleichungen erster Ordnung besteht. Dieses Funktional liefert einen a posteriori Fehlerschätzer und ermöglicht die adaptive Verfeinerung des zugrundeliegenden Netzes. Aus zwei Gründen versagen die gängigen Methoden zum Beweis optimaler Konvergenzraten, wie sie in Carstensen, Feischl, Page und Praetorius (Comp. Math. Appl., 67(6), 2014) zusammengefasst werden. Erstens scheinen fehlende Vorfaktoren proport
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Mäder-Baumdicker, Elena [Verfasser], and Ernst [Akademischer Betreuer] Kuwert. "The area preserving curve shortening flow with Neumann free boundary conditions = Der flächenerhaltende Curve Shortening Fluss mit einer freien Neumann-Randbedingung." Freiburg : Universität, 2014. http://d-nb.info/1123480648/34.

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Benincasa, Tommaso <1981&gt. "Analysis and optimal control for the phase-field transition system with non-homogeneous Cauchy-Neumann boundary conditions." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2010. http://amsdottorato.unibo.it/3066/.

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Cao, Shunxiang. "Numerical Methods for Fluid-Solid Coupled Simulations: Robin Interface Conditions and Shock-Dominated Applications." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/93514.

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This dissertation investigates the development of numerical algorithms for coupling computational fluid dynamics (CFD) and computational solid dynamics (CSD) solvers, and the use of these solvers for simulating fluid-solid interaction (FSI) problems involving large deformation, shock waves, and multiphase flow. The dissertation consists of two parts. The first part investigates the use of Robin interface conditions to resolve the well-known numerical added-mass instability, which affects partitioned coupling procedures for solving problems with incompressible flow and strong added-mass effect.
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Bensiali, Bouchra. "Approximations numériques en situations complexes : applications aux plasmas de tokamak." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4332/document.

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Motivée par deux problématiques liées aux plasmas de tokamak, cette thèse propose deux méthodes d'approximation numérique pour deux problèmes mathématiques s'y rattachant. D'une part, pour l'étude du transport turbulent de particules, une méthode numérique basée sur les schémas de subdivision est présentée pour la simulation de trajectoires de particules dans un champ de vitesse fortement variable. D'autre part, dans le cadre de la modélisation de l'interaction plasma-paroi, une méthode de pénalisation est proposée pour la prise en compte de conditions aux limites de type Neumann ou Robin. Ana
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Alves, Michele de Oliveira. "Um problema de extensão relacionado a raiz quadrada do Laplaciano com condição de fronteira de Neumann." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-19012011-231320/.

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Neste trabalho definimos o operador não local, raiz quadrada do Laplaciano com condição de fronteira de Neumann, através do método de extensão harmônica. O estudo foi feito com o auxílio das séries de Fourier em domínios limitados, como sendo o intervalo, o quadrado e a bola. Posteriormente, aplicamos nosso estudo, à problemas elípticos não lineares envolvendo o operador não local raiz quadrada do Laplaciano com condição de fronteira de Neumann.<br>In this work we define the non-local operator, square root of the Laplacian with Neumann boundary condition, using the method of harmonic extension
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Cisternino, Marco. "A parallel second order Cartesian method for elliptic interface problems and its application to tumor growth model." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2012. http://tel.archives-ouvertes.fr/tel-00690743.

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Cette thèse porte sur une méthode cartésienne parallèle pour résoudre des problèmes elliptiques avec interfaces complexes et sur son application aux problèmes elliptiques en domaine irrégulier dans le cadre d'un modèle de croissance tumorale. La méthode est basée sur un schéma aux différences fi nies et sa précision est d'ordre deux sur tout le domaine. L'originalité de la méthode consiste en l'utilisation d'inconnues additionnelles situées sur l'interface et qui permettent d'exprimer les conditions de transmission à l'interface. La méthode est décrite et les détails sur la parallélisation, ré
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Wahbi, Wassim. "Contrôle stochastique sur les réseaux." Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLED072.

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Cette thèse se décompose en trois grandes parties, qui traitent des EDP quasi linéaires paraboliques sur une jonction, des diffusions stochastiques sur une jonction, et du contrôle optimal également sur une jonction, avec contrôle au point de jonction. Nous commençons au premier Chapitre par introduire une nouvelle classe d'EDP non dégénérée et quasi linéaire, satisfaisant une condition de Neumann (ou de Kirchoff) non linéaire et non dynamique au point de jonction. Nous prouvons l'existence d'une solution classique, ainsi que son unicité. L'une des motivations portant sur l'étude de ce type d'
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Jeng, Bor-Wen, and 鄭博文. "Exploiting Symmetries for Semilinear Elliptic Problems with Neumann Boundary Conditions." Thesis, 1997. http://ndltd.ncl.edu.tw/handle/84015655255280839989.

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碩士<br>國立中興大學<br>應用數學系<br>85<br>We exploit symmetries in certain semilinear elliptic eigenvalue problems withNeumann boundary conditions for the continuation of solution curves. We showthat symmetry makes the problem decomposable into small ones, and thediscretization matrix obtained via central differences associated to theLaplacian is similar to a symmetric one. Furthermore, the discrete problemspreserve some basic properties on eigenvalues of the continuous problems.Thus the continuatio
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Books on the topic "Inhomogeneous Neumann boundary conditions"

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Sun, Xian-He. A high-order direct solver for helmholtz equations with neumann boundary conditions. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.

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Sun, Xian-He. A high-order direct solver for helmholtz equations with neumann boundary conditions. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.

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Sun, Xian-He. A high-order direct solver for Helmholtz equations with Neumann boundary conditions. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.

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Sun, Xian-He. A high-order direct solver for helmholtz equations with neumann boundary conditions. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.

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Jun, Fang, Kurbatskii Konstantin A, and United States. National Aeronautics and Space Administration., eds. Inhomogeneous radiation boundary conditions simulating incoming acoustic waves for computational aeroacoustics. National Aeronautics and Space Administration, 1996.

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Inhomogeneous radiation boundary conditions simulating incoming acoustic waves for computational aeroacoustics. National Aeronautics and Space Administration, 1996.

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Inhomogeneous radiation boundary conditions simulating incoming acoustic waves for computational aeroacoustics. National Aeronautics and Space Administration, 1996.

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Geier, János, and Mariann Hudák. Changing the Chevreul Illusion by a Background Luminance Ramp. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780199794607.003.0044.

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The Chevreul illusion comprises adjacent homogeneous grey bands of different luminance, which are perceived as inhomogeneous. It is generally explained by lateral inhibition. When the Chevreul staircase is placed in a luminance ramp background, the illusion noticeably changes. Since all conditions of the lateral inhibition account are untouched within the staircase, lateral inhibition (which is a local model) fails to model these perceptual changes. Another ramp was placed around the staircase, whose direction was opposite to that of the original, larger ramp. The result here is that though th
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Mann, Peter. The Stationary Action Principle. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0007.

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This crucial chapter focuses on the stationary action principle. It introduces Lagrangian mechanics, using first-order variational calculus to derive the Euler–Lagrange equation, and the inverse problem is described. The chapter then considers the Ostrogradsky equation and discusses the properties of the extrema using the second-order variation to the action. It then discusses the difference between action functions (of Dirichlet boundary conditions) and action functionals of the extremal path. The different types of boundary conditions (Dirichlet vs Neumann) are elucidated. Topics discussed i
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Edmunds, D. E., and W. D. Evans. Second-Order Differential Operators on Arbitrary Open Sets. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0007.

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In this chapter, three different methods are described for obtaining nice operators generated in some L2 space by second-order differential expressions and either Dirichlet or Neumann boundary conditions. The first is based on sesquilinear forms and the determination of m-sectorial operators by Kato’s First Representation Theorem; the second produces an m-accretive realization by a technique due to Kato using his distributional inequality; the third has its roots in the work of Levinson and Titchmarsh and gives operators T that are such that iT is m-accretive. The class of such operators inclu
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Book chapters on the topic "Inhomogeneous Neumann boundary conditions"

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Sayas, Francisco-Javier, Thomas S. Brown, and Matthew E. Hassell. "Neumann boundary conditions." In Variational Techniques for Elliptic Partial Differential Equations. CRC Press, 2019. http://dx.doi.org/10.1201/9780429507069-6.

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Droniou, Jérôme, Robert Eymard, Thierry Gallouët, Cindy Guichard, and Raphaèle Herbin. "Neumann, Fourier and Mixed Boundary Conditions." In Mathématiques et Applications. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-79042-8_3.

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Adomian, George. "Decomposition Solutions for Neumann Boundary Conditions." In Solving Frontier Problems of Physics: The Decomposition Method. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8289-6_7.

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Motreanu, Dumitru, Viorica Venera Motreanu, and Nikolaos Papageorgiou. "Nonlinear Elliptic Equations with Neumann Boundary Conditions." In Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-9323-5_12.

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Feltrin, Guglielmo. "Neumann and Periodic Boundary Conditions: Existence Results." In Positive Solutions to Indefinite Problems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94238-4_3.

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Feltrin, Guglielmo. "Neumann and Periodic Boundary Conditions: Multiplicity Results." In Positive Solutions to Indefinite Problems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94238-4_4.

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Leung, Anthony W. "Large Systems under Neumann Boundary Conditions, Bifurcations." In Systems of Nonlinear Partial Differential Equations. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-015-3937-1_7.

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Gomes, Gabriela, and Ian Stewart. "Hopf Bifurcations on Generalized Rectangles with Neumann Boundary Conditions." In Dynamics, Bifurcation and Symmetry. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-0956-7_13.

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Arendt, Wolfgang, and Mahamadi Warma. "Dirichlet and Neumann boundary conditions: What is in between?" In Nonlinear Evolution Equations and Related Topics. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-7924-8_6.

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Choudhury, A. H. "Wavelet Solution of Convection-Diffusion Equation with Neumann Boundary Conditions." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06923-4_18.

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Conference papers on the topic "Inhomogeneous Neumann boundary conditions"

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Giatili, Stavroula G., and Georgios S. Stamatakos. "Modeling glioblastoma growth and inhomogeneous tumor invasion with explicitly numerically treated neumann boundary conditions." In 2014 6th International Advanced Research Workshop on "In Silico Oncology and Cancer Investigation". IEEE, 2014. http://dx.doi.org/10.1109/iarwisoci.2014.7034634.

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Kim, D. "A Numerical Method for the Analysis of a New Model for Two-Phase Bubbly Flow in Elastic Pipes." In ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/fedsm2002-31219.

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A new approach and numerical method for study gas-liquid two-phase flows in elastic pipes is suggested. “A nonlinear wave dynamical model for liquid containing gas bubbles” is applied to derive governing equations for two-phase flow-filled pipelines. On assuming the hydraulic approximation the continuity and momentum equations of two-phase flow in a pipe are obtained for the first time. From these equations the inhomogeneous wave equation of Lighthill-type for two-phase flow in pipelines is derived. The shear stress at the tube surface, deformation of the tube cross-section, and liquid’s phase
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Wang, Tongsheng, Zhu Huang, Zhongguo Sun, and Guang Xi. "Numerical Simulation of Mixed Flow Past an Inclined Square Cylinder Using a Local Radial Basis Function Method." In ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ajkfluids2019-5196.

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Abstract Unsteady mixed convective heat transfer flow past an inclined square cylinder is numerically investigated using a local multi-quadric radial basis function (MQRBF) interpolation. The blockage parameter (ratio of square cylinder length d to height of the computational domain H) varies from 0.025 to 0.2. Air is considered as the working fluid and Prandtl number is fixed at 0.71. Richardson number generally affects the heat transfer efficiency ranging from 0 to 20. Inclined angle of square cylinder ranges from 0° to 45°. The inlet flow is assumed to be laminar and uniform. At the outlet
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Kuryliak, D. B., and Z. T. Nazarchuk. "Wave scattering by wedge with Dirichlet and Neumann boundary conditions." In Proceedings of III International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. DIPED-98. IEEE, 1998. http://dx.doi.org/10.1109/diped.1998.730938.

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Gámez, José L. "Local bifurcation for elliptic problems: Neumann versus Dirichlet boundary conditions." In The First 60 Years of Nonlinear Analysis of Jean Mawhin. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702906_0006.

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Ishimaru, A., J. D. Rockway, S. W. Lee, and Y. Kuga. "Green's function for rough surface with Dirichlet, Neumann, and impedance boundary conditions." In Proceedings of ISAPE 2000: Fifth International Symposium on Antennas, Propagation, and EM Theory. IEEE, 2000. http://dx.doi.org/10.1109/isape.2000.894708.

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Hong, Keum S., and Joseph Bentsman. "Stability Criterion for a Linear Oscillatory Parabolic System with Neumann Boundary Conditions." In 1989 American Control Conference. IEEE, 1989. http://dx.doi.org/10.23919/acc.1989.4790367.

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Kowalewski, Adam. "Optimal control via initial conditions of infinite order hyperbolic systems with the Neumann boundary conditions." In 2014 19th International Conference on Methods & Models in Automation & Robotics (MMAR). IEEE, 2014. http://dx.doi.org/10.1109/mmar.2014.6957405.

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Pacheco, J. Rafael, Tamara Rodic, and Arturo Pacheco-Vega. "On the Boundary Conditions for Heat Transfer Using Immersed Boundary Methods." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-16240.

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We describe the implementation of a general interpolation technique which allows the accurate imposition of the Dirichlet, Neumann and mixed boundary conditions on complex geometries when using the immersed boundary technique on Cartesian grids. The scheme is general in that it does not involve any special treatment to handle either one of the three types of boundary conditions. The accuracy of the interpolation algorithm on the boundary is assessed using three heat transfer problems: (1) forced convection over a cylinder placed in an unbounded flow, (2) natural convection on a cylinder placed
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Dykhne, Alexander M., and Inna M. Kaganova. "Impedance boundary conditions and effective surface impedance of inhomogeneous metal." In Optical Science and Technology, SPIE's 48th Annual Meeting, edited by Zu-Han Gu and Alexei A. Maradudin. SPIE, 2003. http://dx.doi.org/10.1117/12.519853.

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Reports on the topic "Inhomogeneous Neumann boundary conditions"

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Koracin, Darko R. Simulations of Atmospheric Flows in the Boundary Layer over Inhomogeneous Surface Conditions. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada628791.

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