Function Space Setting For The Stokes Problem
Astaggeredfinitevolumeschemeongeneralmeshesfor the generalized Stokes problem in two space dimensions
... 3.1). The discrete unknowns of this scheme are the discrete velocities located at some point within the discretization cells (or “control volumes” of the mesh (see Section 2) whereas the discrete divergence–free ...
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Nonlocal Navier-Stokes problem with a small parameter
... < ∞ . For n = , = (a, b), a, b ∈ N, the space W m,p (; E , E) will be denoted by W m,p (a, b; E , E). Sometimes we use one and the same symbol C without distinction in order to denote positive constants which ...
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Stokes First Problem for an Unsteady MHD Third Grade Fluid in a Non Porous Half Space with Hall Currents
... well-known problem of unidirectional plane flow of a fluid in a non-porous half-space due to the impulsive motion of the rigid plane wall it rests upon is discussed in the context of an unsteady MHD ...
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2 The setting of the problem
... The setting of the problem We are tempted to consider the multiplication by a capitalization factor as an evo- lution operator of a dynamical ...the function-space F(R, R), set of all the ...
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Generalized Newton methods for the 2D-Signorini contact problem with friction in function space
... Signorini problem with Tresca friction is analyzed, its Fenchel dual and the corresponding extremality conditions are ...dual problem, derive the corresponding primal problem and the extremality ...
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An Introduction to the Navier-Stokes Initial-Boundary Value Problem
... much space-time regularity as allowed by the ...in space and time, with the possible exception of a set of times of zero 1/2-dimensional Hausdorff ...
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Existence and Uniqueness of the Navier-Stokes Problem for Compressible Flows
... ( x t C ( 2 , 1 ) T C ( 1 , 0 ) T u and satisfies classical formulation in this considered case . In view of this fact, t he obtained balance relation between components of the velocity vector and the pressure ...
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Restricted Three Body Problem with Stokes Drag Effect
... According to [9], the resulting motion of a particle is asymptotically stable only when all the real parts of λ are negative and the condition for asymptotically stable under the arbitrary drag force is given by 1 3 0 < ...
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Virtual elements for the navier-stokes problem on polygonal meshes
... the Stokes problem, virtual elements have been developed in [3, 28, 15, 25, 26, ...the Stokes or Navier--Stokes equations that can handle polytopal meshes are [33, 47, ...Stokes ...
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An adaptive stabilized finite element method for the generalized Stokes problem
... generalized Stokes equation has been introduced and ...bubble function spaces to be ...bubble function spaces, thus avoiding the use of a saturation assumption, and we have provided a concrete pair ...
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Mortar spectral element discretization of the Stokes problem in domain with corners
... the Gauss-Lobatto quadrature formula on each sub-domain. We prove that the continuity and the coercivity of the bilinear form which are obtained by two different equivalent norms. The equivalence constant tends to when ...
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An indirect boundary integral method for an oscillatory Stokes flow problem
... whole space R 3 and the well-known jump formulas for the unsteady double-layer potential and respectively the surface force of the unsteady single-layer potential across the boundary Γ ...
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Global Estimation of the Cauchy Problem Solutions’ the Navier Stokes Equation
... Scattering Problem This study has shown once again the outstanding properties of the scattering operator, which, in combination with the analytical properties of the wave function, allow to obtain an ...
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AN INDIRECT BOUNDARY INTEGRAL METHOD FOR AN OSCILLATORY STOKES FLOW PROBLEM
... Green function of the oscillatory Stokes ...Green function (or oscillating Stokeslet) G λ 2 = (G λ ij 2 ) i,j=1,3 and the pressure vector Π λ 2 = (Π 1 λ 2 , Π λ 2 2 , Π λ 3 2 ) of the oscillatory ...
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High order cut finite element methods for the Stokes problem
... the Stokes problem to be stitched together using a stabilized Nitsche method from multiple non-matching and intersecting meshes to weakly enforce continuity over an ...stable space is ...
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Space-time radial basis function collocation method for one-dimensional advection-diffusion problem
... 1.1. Introduction of the problem. Parabolic partial differential equations have a wide range of applications for mathematical modelling of many phenomena. There- fore, recently much attention has been paid in the ...
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Stokes formula on the Wiener space and n-dimensional Nourdin–Peccati analysis
... the function h does not depend on s, but only on the law of Z, this device identifies the proximity of Z to a normal ...the function h is to the constant ...
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Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem
... which are naturally parallel [DJN15, Chapter 3]. They are based on an overlapping partition of the computational domain. Let {T h,i } N i=1 be a partition of the triangulation T h . For an integer value l ≥ 0, we define ...
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Stabilized finite element methods based on multiscale enrichment for the Stokes problem
... THE STOKES PROBLEM ∗ RODOLFO ARAYA † , GABRIEL ...the Stokes problem considering nonstable different (or equal) order of velocity and pressure interpola- ...polynomial space for the ...
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A New Numerical Method for Solving the Stokes Problem Using Quadratic Programming
... ( div u q ) 0 or b u q ( , ) 0, q Q So, the optimal solution of (13) is the solution of (3). In the Galerkin method, for solving (7) using finite element approximation requires a lot of computations to construct ...
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