The Mathematical Institute, University of Oxford, Eprints Archive

Local projection finite element stabilization for the generalized Stokes problem

Nafa, Kamel and Wathen, A. J. (2008) Local projection finite element stabilization for the generalized Stokes problem. Technical Report. Unspecified. (Submitted)

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Abstract

We analyze pressure stabilized finite element methods for the solution of the generalized Stokes problem and investigate their stability and convergence properties. An important feature of the method is that the pressure gradient unknowns can be eliminated locally thus leading to a decoupled system of equations. Although stability of the method has been established, for the homogeneous Stokes equations, the proof given here is based on the existence of a special interpolant with additional orthogonal property with respect to the projection space. This, makes it a lot simpler and more attractive. The resulting stabilized method is shown to lead to optimal rates of convergence for both velocity and pressure approximations.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1061
Deposited By:Lotti Ekert
Deposited On:21 Apr 2011 08:32
Last Modified:21 Apr 2011 08:32

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