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Comments on: "Energetic balance for the Rayleigh--Stokes problem of an Oldroyd-B fluid" [Nonlinear Anal. RWA 12 (2011) 1]
Stokes’ first problem Oldroyd-B fluid Fourier–Laplace transform Energy analysis Incorrect solution
2011/8/4
Abstract: We point out that an erroneous derivation in the recent paper [Fetecau et al., Nonlinear Anal. RWA 12 (2011) 1] yields a correct solution by accident. Additionally, a number of misrepresenta...
Asymptotic description of solutions of the exterior Navier Stokes problem in a half space
Asymptotic description exterior Navier Stokes problem a half space
2011/8/25
Abstract: We consider the problem of a body moving within an incompressible fluid at constant speed parallel to a wall, in an otherwise unbounded domain. This situation is modeled by the incompressibl...
On a finite element approximation of the Stokes problem under leak or slip boundary conditions of friction type
Finite element method Stokes equations Boundary conditions of friction type
2011/2/25
A nite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip or leak boundary con-dition of friction type, is considered. We propose an approxim...
A New Numerical Method for Solving the Stokes Problem Using Quadratic Programming
Galerkin Method Neural Network Model Quadratic Programming Problem Stokes Problem
2013/1/28
In this paper we present a new method for solving the Stokes problem which is a constrained optimization method. The new method is simpler and requires less computation than the existing methods. In t...
PARALLE DOMAIN DECOMPOSITION ALGORITHMS FOR A GENERALIZED STOKES PROBLEM
Domain decomposition trace average oper
2007/12/17
In this paper, a generalized Stokes problem is solved by multi-subdomain decomposition methods, and three parallel domain decomposition algorithms are proposed and analyzed. The derived results show t...
A NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION WITH MOVING GRIDS FOR STOKES PROBLEM
Stokes problem Nonconforming finite element Anisotrop Moving grids Error estimate
2007/12/12
This paper is devoted to the five parameters nonconforming finite
element schemes with
moving grids for velocity-pressure mixed formulations of the nonstationary
Stokes problem in 2-D. We show that...