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 - 2003 |
| Externally published | Yes |
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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
Cite this
Penalty finite element approximations of the stationary power-law Stokes problem. / Lefton, L.; Wei, D.
In: Journal of Numerical Mathematics, Vol. 11, No. 4, 2003, p. 301-322.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Penalty finite element approximations of the stationary power-law Stokes problem
AU - Lefton, L.
AU - Wei, D.
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
KW - BB condition
KW - Convergence and error estimates
KW - Finite element method
KW - Non-Newtonian flows
KW - Penalty method
KW - Power-law flows
KW - Stationary stokes problem
UR - http://www.scopus.com/inward/record.url?scp=0346361563&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0346361563&partnerID=8YFLogxK
U2 - 10.1163/156939503322663467
DO - 10.1163/156939503322663467
M3 - Article
VL - 11
SP - 301
EP - 322
JO - Journal of Numerical Mathematics
JF - Journal of Numerical Mathematics
SN - 1570-2820
IS - 4
ER -