The quadrilateral ‘Mini’ finite element for the Stokes problem
✍ Scribed by Wen Bai
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 466 KB
- Volume
- 143
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
We propose two mixed finite element methods for the Stokes equations in two space dimensions. Starting from a Q,-Q, combination for the velocity and pressure, it is studied how to introduce internal degrees of freedom into the velocity space in order to obtain a LBB-stable combination. The LBB stability conditions of the two proposed methods are checked by using the macroelement technique.
📜 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 stability of modified cross-grid elements for the approximation of the Stokes problem using continuous piecewise linear polynomials to approximate velocities and piecewise constants to approximate pressures is proved. A key feature of the method is that the mesh for pressure is modified so that
## Abstract In this paper two plane strain quadrilateral elements with two and four variables, are proposed. These elements are applied to the analysis of finite strain elasto‐plastic problems. The elements are based on the enhanced strain and B‐bar methodologies and possess a stabilizing term. The