Abstract
Finite element approximations of the stationary power-law Stokes problem using penalty formulation are considered. A priori error estimates under appropriate smoothness assumptions on the solutions are established without assuming a discrete version of the BB condition. Numerical solutions are presented by implementing a nonlinear conjugate gradient method.
| Original language | English |
|---|---|
| Pages (from-to) | 301-322 |
| Number of pages | 22 |
| Journal | Journal of Numerical Mathematics |
| Volume | 11 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Dec 1 2003 |
Keywords
- BB condition
- Convergence and error estimates
- Finite element method
- Non-Newtonian flows
- Penalty method
- Power-law flows
- Stationary stokes problem
ASJC Scopus subject areas
- Computational Mathematics