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 stabi
A class of quadrilateral finite elements for the stokes problem
β Scribed by Ilaria Perugia
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 301 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
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 elastoβplastic problems. The elements are based on the enhanced strain and Bβbar methodologies and possess a stabilizing term. The