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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 posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
A posteriori estimator non positive definite diffusion problems
2010/12/8
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] if the contrast is large enough, the continuous problem can be t...
In the author's previous paper [13], a Galerkin/Least-Square type finite
element method was proposed and analyzed for the stationary N-S equations. The
method is consistent and stable for any combin...
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...
AN EXTRAPOLATION METHODFOR FINITE ELEMENT APPROXIMATION OF INTEGRODIFFERENTIAL EQUATIONS WITH PARAMETERS
Extrapolation finite element method in
2007/8/7
In this paper, we discuss the accelerating convergence method for finite element approximation of integro-differential equations with parameters. As applications, we give the error estimates of finite...