A posteriori error estimator for finite element discretizations of quasi-newtonian stokes flows

International Journal of Numerical Analysis and Modeling

Volumn 2, Issue 2, 2005, Pages 221-239

  Agouzal, Abdellatif ^a  

^a UNIVERSITÉ LYON 1   (France)

Author keywords

A posteriori error estimator; Conforming; Nonconforming and mixed finite element; Quasi newtonian flow

Indexed keywords

EID: 33644535997     PISSN: 17055105     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. R. A. Adams. Sobolev Spaces. Academic Press, New York, 1975.
2. A. Agouzal and J.-M. Thomas, An extension theorem for equilibrium finite elements spaces, Japan J. Indust. Appl. Math. 13, no. 2, pp 257-266. 1996.
3. B. Achchab and A. Agouzal, Formulation mixte augmentée et applications, M2AN Math. Model. Numer. Anal. 33, no. 3, pp 459-478. 1999.
4. F. Brezzi and M. Fortin, Mixed and hybrid finite element methods, Springer, New York, 1991.
5. C. Carstensen, Quasi-interpolation and a posteriori error analysis in finite element methods, M2AN, Vol 33, No 6, pp 1187-1202. 1999.
6. C. Carstensen and S. A. Funken, A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems, Math. Comp., Vol 70, No 236, pp 1353-1381. 2001.
7. P. G. Ciarlet, The Finite Element Method for Elliptic Problems. North-Holland, Amster-dam, New York, Oxford, 1978.
8. E. Dari and R. Durán and C. Padra, Error estimators for nonconforming finite element approximations of the Stokes problem, Math. Comp., Vol 64, No 211, pp 1017-1033. 1995.
9. G. N. Gatica, M. Gonzáles and S. Meddahi A low-order mixed finite element method for a class of casi-Newtonian Stokes flows Tech. Rep. 02-01. Dept. Ingeniería Matemática. Universidad de Concepcifion. Chile.
10. V. Girault and P.-A. Raviart, Finite element methods for Navier-Stokes equations, Springer, Berlin, 1986.
11. A. F. D. Loula and J. N. C. Guerreiro Finite element analysis of nonlinear creeping flows, Computer Methods in Applied Mechanics and Engineering, Vol 79, pp 87-109, 1990.
12. R. Verfäurth, A posteriori error estimators for the Stokes equations. II. Nonconforming discretizations, Numer. Math., Vol 60, No 2, pp 235-249, 1991
13. R. Verfäurth, A review of a posteriori error estimation and adaptive mesh-refinement tech-niques. Teubner Skripten zur Numerik, B.G. Teubner Stuttgarti, 1996.