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Stochastic Navier-Stokes equations
We construct a solution to stochastic Navier-Stokes equations in dimension n ≤4 with the feedback in both the external forces and a general...
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The conditioning of the stiffness matrix for certain elements approximating the incompressibility condition in fluid dynamics
In order to solve the Stokes equations numerically, Crouzeix and Raviart introduced elements satisfying a discrete divergence condition. For the two...
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A numerical algorithm for the Stokes problem based on an integral equation for the pressure via conformal map**s
In this paper we present an algorithm for solving numerically the Stokes problem in the plane. The known algorithms are all based on certain...
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A discrete solenoidal finite difference scheme for the numerical approximation of incompressible flows
For a well known class of finite difference schemes for approximating incompressible flows it is shown that the condition of discrete...
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A posteriori error estimators for the Stokes equations
We present two a posteriori error estimators for the mini-element discretization of the Stokes equations. One is based on a suitable evaluation of...
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Mathematical modelization of equatorial waves
Our purpose is to calculate waves propagating along the equator in an oceanic domain and the influence of a characteristic mean equatorial...