A posteriori estimators for mixed finite element approximations of a fluid obeying the power law

Computer Methods in Applied Mechanics and Engineering

Volumn 166, Issue 3-4, 1998, Pages 329-340

  Sandri, D ^a  

^a UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FINITE ELEMENT METHOD;

MIXED FINITE ELEMENT APPROXIMATION; POWER LAW;

COMPUTATIONAL FLUID DYNAMICS;

FINITE ELEMENT METHOD; POWER LAW FLUID;

EID: 0032573316     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00094-2     Document Type: Article

References (13)

1. [1] C. Amrouche and V. Girault, Propriétés fonctionnelles d'opérateurs. Application au problème de Stokes en dimension quelconque. Publication du Laboratoire d'Analyse Numérique, no 90025, Université Pierre et Marie Curie; Paris, France (1990).
2. 2 AN 25 (1) (1991) 31-48.
3. [3] J. Baranger, P. Georget and K. Najib, Error estimates for a mixed finite element method for a non Newtonian flow, J. Non-Newt. Fluid Mech. 23 (1987) 415-421.
4. [4] J. Baranger and K. Najib, Analyse numérique des écoulements quasi-Newtoniens dont la viscosité obéit à la loi puissance ou la loi de Carreau, Numer. Math. 58, (1990) 35-49.
5. [5] J. Baranger, K. Najib and D. Sandri, Numerical analysis of a three fields model for a quasi-Newtonian flow, Comput. Methods Appl. Mech. Engrg. 109, (1993) 281-292.
6. [6] J.B. Barrett and W.B. Liu, Quasi-norm error bounds for the finite element approximation of a non-Newtonian flow. Numer, Math. 68 (1994) 437-456.
7. [7] R.B. Bird, R.C. Armstrong and O. Hassager, Dynamics of Polymeric Liquids I. (John Wiley and Sons, Amsterdam, 1987).
8. [8] P.G. Ciarlet, The Finite Element Method for Elliptic Problems (North-Holland, Amsterdam, 1978).
9. [9] H. El Amri, Thèse d'Etat, Université Lyon I, 1990.
10. [10] V. Girault and P.A. Raviart, Finite element method for Navier-Stokes equations, Theory and Algorithms. (Springer, Berlin-Heidelberg-New York, 1986).
11. [11] A.F.D. Loula and J.N.C. Guerreiro, A new finite element method for nonlinear creeping flows, Comput. Methods Appl. Mech. Engrg. 79 (1) (1990) 87-109.
12. 2AN 27 (1991) 131-155.
13. [13] R. Verfürth, A Review of a posteriori Error Estimation and Adaptative Mesh-Refinement Techniques (Wiley Teubner, Chichester, 1996).