In this paper we are concerned with a weighted least-squares finite element method for approximating the solution of boundary value problems for 2-D viscous incompressible flows. We consider the generalized Stokes equations with velocity boundary conditions. Introducing the auxiliary variables (stre
An error analysis of least-squares finite element method of velocity-pressure-vorticity formulation for stokes problem
β Scribed by Ching Lung Chang; Jiang Bo-Nan
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 604 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0045-7825
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π SIMILAR VOLUMES
An analysis of some nonconforming approximations of the Stokes problem is presented. The approximations are based on a strain-pressure variational formulation. In particular, a convergence and stability result for a method recently proposed by Bathe and Pantuso is provided.
The implementation of a least-squares finite element method for solving the generalized stationary Stokes problem (i.e. the Stokes problem with an additional term Ξ±u in the motion equation, where Ξ± is a big parameter and u is the velocity vector function) is considered. The basis of this method is t