Finite element methods for the Stokes problem on complicated domains
β Scribed by Daniel Peterseim; Stefan A. Sauter
- Book ID
- 108095686
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 955 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0045-7825
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Communicated by F. Brezzi Abstract--We show that the mixed finite element approximation scheme with pressure stabilization for the Stokes problem in R 3 is stable for some tetrahedral elements including the P++I -Pk-1 element and'the cross-grid Pk+l -Pk-1 element, k > 2. (~) 2000 Elsevier Scien
The article treats the question of how to numerically solve the Dirichlet problem for the Stokes system in the exterior of a three-dimensional bounded Lipschitz domain. In a first step, the solution of this problem is approximated by functions solving the Stokes system in a truncated domain and sati
This paper proposes and analyzes a numerical method for solving the coupled Stokes and Darcy problem, an interface problem between a fluid, governed by Stokes equations, and a flow in a porous medium, governed by Darcy equations. The method employs H(div) conforming finite elements for the velocity
Two hp-finite element methods for the Stokes problem in polygonal domains are presented: We discuss the S k Γ S k-2 elements which are stable on anisotropic and irregular meshes and introduce a stabilized Galerkin Least Squares approach featuring equal-order interpolation in the velocity and the pre