Abstract
Local projection based stabilized finite element methods for the solution of Darcy flow offer several advantages as compared to mixed Galerkin methods. In particular, the avoidance of stability conditions between finite element spaces, the efficiency in solving the reduced linear algebraic system, and the convenience of using equal order continuous approximations for all variables. In this paper we analyze the pressure gradient method for Darcy flow and investigate its stability and convergence properties.
| Original language | English |
|---|---|
| Pages (from-to) | 656-666 |
| Number of pages | 11 |
| Journal | International Journal of Numerical Analysis and Modeling |
| Volume | 7 |
| Issue number | 4 |
| Publication status | Published - 2010 |
Keywords
- Convergence
- Darcy equations
- Error estimates
- Stabilized finite elements
ASJC Scopus subject areas
- Numerical Analysis