Multi-field finite element methods with discontinuous pressures for axisymmetric incompressible flow

Journal of Computational and Applied Mathematics

Volumn 168, Issue 1-2, 2004, Pages 393-402

  Ruas, V ^a,b   Carneiro de Araujo, J H ^c   Silva Ramos, M A M ^c  

^a UNIVERSITÉ JEAN MONNET   (France)

^b SORBONNE UNIVERSITÉ   (France)

^c FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

Author keywords

Axisymmetric; Finite element; Multi field methods; Stokes system

Indexed keywords

PROBLEM SOLVING; VISCOELASTICITY;

EXTRA-STRESS TENSORS; STOKES SYSTEMS;

COMPUTATIONAL METHODS;

FINITE ELEMENT ANALYSIS; INCOMPRESSIBLE FLOW; MATHEMATICAL ANALYSIS; MODELING; PRESSURE; STOKES FLOW;

EID: 2942665947     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.12.010     Document Type: Article

References (13)

1. Adams R.A. Sobolev Spaces 1968 Academic Press New York
2. Bercovier M. Pironneau O. Error estimates for the finite element method solution of the stokes system in primitive variables Numer. Math. 33 1979 211-224
3. C. Bernardi, M. Dauge, Y. Maday, Spectral Methods for Axisymmetric Domains. Series in Applied Mathematics, Gauthier-Villars, Editions Scientifiques et Médicales Elsevier, Paris, 1999.
4. F. Brezzi, On the existence, uniqueness and approximation of saddle-point problems arising from lagrange multipliers, RAIRO Série Rouge, Analyse Numérique, R-2, 1974, pp. 129-151.
5. Carneiro de Araujo J.H. Ruas V. A stable finite element method for the axisymmetric three-field Stokes system Comput. Methods Appl. Mech. Eng. 164 1998 267-286
6. Crouzeix M. Raviart P.A. Conforming and nonconforming finite element methods for solving the stationary Stokes equations RAIRO Anal. Numér. 7 R-3 1973 33-76
7. M. Fortin, Calcul numérique des écoulements des fluides de Bingham et des fluides newtoniens par la méthode des éléments finis. Thèse de Doctorat d'Etat, Université Paris VI, 1972.
8. Franca L. Stenberg R. Error analysis of some Galerkin-least-squares methods for the elasticity equations SIAM J. Numer. Anal. 26 6 1991 1680-1697
9. Girault V. Raviart P.A. Finite Element Methods for Navier-Stokes Equations 1986 Springer Berlin
10. Mercier B. Raugel G. Résolution d'un problème aux limites dans un ouvert axisymétrique par éléments finis en r,z et séries de fourier en θ RAIRO Anal. Numér. 16 4 1982 405-461
11. Ruas V. Mixed finite element methods with discontinuous pressures for the axisymmetric Stokes system Z. Angew. Math. Mech. 83 2003 249-264
12. V. Ruas, Finite element methods for three-dimensional incompressible viscous flow, Chapter X, in: T.J. Chung (Ed.), Finite Elements in Fluids, Vol. 8, Hemisphere Publishing Corporation, Washington, 1992, pp. 211-235.
13. Tabata M. Finite element analysis of axisymmetric flow problems Z. Angew. Math. Mech. (Suppl) 1 1996 171-174