Results 81 to 90 of about 11,399,904 (367)
Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables
International Journal for Numerical Methods in Fluids, EarlyView.Based on Hamilton's principle, the study focuses on a novel strategy for the modeling of non‐Newtonian fluids with the help of internal variables. Here, the viscosity evolves locally in space and time. Three configurations are numerically implemented, namely channel flow, a benchmark, and a lid‐driven cavity.
Philipp Junker, Thomas Wick
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Учёные записки Казанского университета: Серия Физико-математические науки, 2018 A method for construction of solutions to the continuous approximate 2D Dirichlet and Neumann problems in the arbitrary simply-connected domain with a smooth boundary has been discussed.
A. El-Shenawy, E.A. Shirokova
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 We study the solvability of the Dirichlet problem for a second-order elliptic equation with measurable and bounded coefficients. Assuming that coefficients of equation are Dini-continued on the boundary, it is established that there is the unique ...
A. K. Gushchin
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The Discretization‐Corrected Particle Strength Method for the Barotropic Vorticity Equations
International Journal for Numerical Methods in Fluids, EarlyView.Numerical solution for the barotropic vorticity equation in complex geometry using the meshless point collocation method. The spatial domain is represented by a set of nodes. The collocation method numerically solves the strong form governing equations.
G. C. Bourantas +9 more
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Pseudo-differential equations and conical potentials: 2-dimensional case [PDF]
Opuscula Mathematica, 2019 We consider two-dimensional elliptic pseudo-differential equation in a plane sector. Using a special representation for an elliptic symbol and the formula for a general solution we study the Dirichlet problem for such equation.
Vladimir B. Vasilyev
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International Journal for Numerical Methods in Fluids, EarlyView.In this paper, we consider the concept of discretely divergence‐free finite elements (DDFFE) based on the Rannacher–Turek finite element pair to efficiently solve the three‐dimensional incompressible Navier–Stokes equations. For this purpose, we first define a spanning set of DDFFE functions and then characterize a set of basis functions for arbitrary ...
Christoph Lohmann
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On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion
International Journal for Numerical Methods in Fluids, EarlyView.Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras +3 more
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Electronic Journal of Differential Equations, 2019 We apply the quasilinearization method to a Dirichlet boundary value problem and to a right focal boundary value problem for a Riemann-Liouville fractional differential equation.
Paul W. Eloe, Jaganmohan Jonnalagadda
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On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc
European Journal of Mathematical AnalysisIn this article, we investigate the Dirichlet boundary value problem for the Cauchy-Riemann equations in the half disc. First, using the technique of parqueting–reflection and the Cauchy-Pompeiu representation formula for a half disc, we obtain an ...
Ali Darya, Nasir Tagizadeh
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Dirichlet boundary value problem for Duffing's equation
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We use direct variational method in order to investigate the dependence on parameter for the solution for a Duffing type equation with Dirichlet boundary value conditions.
Piotr Kowalski
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