کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
500612 | 863097 | 2006 | 18 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Edge stabilization for the generalized Stokes problem: A continuous interior penalty method Edge stabilization for the generalized Stokes problem: A continuous interior penalty method](/preview/png/500612.png)
In this note we introduce and analyze a stabilized finite element method for the generalized Stokes equation. Stability is obtained by adding a least squares penalization of the gradient jumps across element boundaries. The method can be seen as a higher order version of the Brezzi–Pitkäranta penalty stabilization [F. Brezzi, J. Pitkäranta, On the stabilization of finite element approximations of the Stokes equations, in: W. Hackbusch (Ed.), Efficient Solution of Elliptic Systems, Vieweg, 1984], but gives better resolution on the boundary for the Stokes equation than does classical Galerkin least-squares formulation. We prove optimal and quasi-optimal convergence properties for Stokes’ problem and for the porous media models of Darcy and Brinkman. Some numerical examples are given.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 195, Issues 19–22, 1 April 2006, Pages 2393–2410