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297,392
ON LANDAU’S SOLUTIONS OF THE NAVIERSTOKES EQUATIONS
, 2006
"... 1. Introduction. In this note we will study a special class of solutions of the threedimensional steadystate NavierStokes equations −∆u + u∇u + ∇p = 0, divu = 0. (NSE) ..."
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Cited by 8 (0 self)
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1. Introduction. In this note we will study a special class of solutions of the threedimensional steadystate NavierStokes equations −∆u + u∇u + ∇p = 0, divu = 0. (NSE)
DOI: 10.1051/cocv:2005012 THE TOPOLOGICAL ASYMPTOTIC FOR THE NAVIERSTOKES EQUATIONS
, 2004
"... Abstract. The aim of the topological asymptotic analysis is to provide an asymptotic expansion of a shape functional with respect to the size of a small inclusion inserted inside the domain. The main field of application is shape optimization. This paper addresses the case of the steadystate Navier ..."
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NavierStokes equations for an incompressible fluid and a noslip condition prescribed on the boundary of an arbitrary shaped obstacle. The two and three dimensional cases are treated for several examples of cost functional and a numerical application is presented.
Slip With Friction and Penetration With Resistance Boundary Conditions for the NavierStokes Equations  Numerical Tests and Aspects of the Implementation
, 2001
"... We consider slip with friction and penetration with resistance boundary conditions in the steady state NavierStokes equations. This paper describes some aspects of the implementation of these boundary conditions for finite element discretizations. Numerical tests on two and three dimensional channe ..."
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Cited by 13 (1 self)
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We consider slip with friction and penetration with resistance boundary conditions in the steady state NavierStokes equations. This paper describes some aspects of the implementation of these boundary conditions for finite element discretizations. Numerical tests on two and three dimensional
Perturbation Of Eigenvalues Of Preconditioned NavierStokes Operators
 CONSTRAINT PRECONDITIONING 19
, 1995
"... We study the sensitivity of algebraic eigenvalue problems associated with matrices arising from linearization and discretization of the steadystate NavierStokes equations. In particular, for several choices of preconditioners applied to the system of discrete equations, we derive upper bounds on p ..."
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Cited by 4 (1 self)
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We study the sensitivity of algebraic eigenvalue problems associated with matrices arising from linearization and discretization of the steadystate NavierStokes equations. In particular, for several choices of preconditioners applied to the system of discrete equations, we derive upper bounds
Fast Nonsymmetric Iterations and Preconditioning for NavierStokes Equations
 SIAM J. Sci. Comput
, 1994
"... Discretization and linearization of the steadystate NavierStokes equations gives rise to a nonsymmetric indefinite linear system of equations. In this paper, we introduce preconditioning techniques for such systems with the property that the eigenvalues of the preconditioned matrices are bounded i ..."
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Cited by 74 (10 self)
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Discretization and linearization of the steadystate NavierStokes equations gives rise to a nonsymmetric indefinite linear system of equations. In this paper, we introduce preconditioning techniques for such systems with the property that the eigenvalues of the preconditioned matrices are bounded
Bivariate Spline Method for NavierStokes Equations: Domain Decomposition Technique
"... We have used the bivariate spline method to numerically solve the steady state NavierStokes equations in the stream function formulation. Galerkin's method is applied to the resulting nonlinear fourth order equation, and Newton's iterative method is then used to solve the resulting nonlin ..."
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We have used the bivariate spline method to numerically solve the steady state NavierStokes equations in the stream function formulation. Galerkin's method is applied to the resulting nonlinear fourth order equation, and Newton's iterative method is then used to solve the resulting
Accuracy of leastsquares methods for the NavierStokes equations
 Computers and Fluids
, 1993
"... Abstract. We consider issues related to the design and analysis of leastsquares methods for the incompressible NavierStokes equations. An abstract framework which allows to treat a large class of methods is outlined and illustrated by means of several specific examples of leastsquares methods. Ke ..."
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Cited by 25 (9 self)
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, steady state NavierStokes equations −ν4u+ u · gradu+ grad p = f in Ω(1)
EXISTENCE AND STABILITY OF STEADYSTATE SOLUTIONS WITH FINITE ENERGY FOR THE NAVIERSTOKES EQUATION IN THE WHOLE SPACE
, 711
"... Abstract. We consider the steadystate NavierStokes equation in the whole space R 3 driven by a forcing function f. The class of source functions f under consideration yield the existence of at least one solution with finite Dirichlet integral (‖∇U‖2 < ∞). Under the additional assumptions that f ..."
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Cited by 1 (0 self)
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Abstract. We consider the steadystate NavierStokes equation in the whole space R 3 driven by a forcing function f. The class of source functions f under consideration yield the existence of at least one solution with finite Dirichlet integral (‖∇U‖2 < ∞). Under the additional assumptions
An Irrotational Flow Field That Approximates Flat Plate Boundary Conditions
, 2008
"... A irrotational solution is derived for the steadystate NavierStokes equations that approximately satisfies the boundary conditions for flow over a finite flat plate. The nature of the flow differs substantially from boundary layer flow, with severe numerical difficulties in some regions. An analyt ..."
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A irrotational solution is derived for the steadystate NavierStokes equations that approximately satisfies the boundary conditions for flow over a finite flat plate. The nature of the flow differs substantially from boundary layer flow, with severe numerical difficulties in some regions
Trivariate spline approximations of 3D NavierStokes equations
 MATH. COMP
, 2004
"... We present numerical approximations of the 3D steady state NavierStokes equations in velocitypressure formulation using trivariate splines of arbitrary degree d and arbitrary smoothness r with r < d. Using functional arguments, we derive the discrete NavierStokes equations in terms of Bcoeffi ..."
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Cited by 11 (8 self)
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We present numerical approximations of the 3D steady state NavierStokes equations in velocitypressure formulation using trivariate splines of arbitrary degree d and arbitrary smoothness r with r < d. Using functional arguments, we derive the discrete NavierStokes equations in terms of B
Results 11  20
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297,392