Numerical analysis of the modified EVSS method

Computer Methods in Applied Mechanics and Engineering

Volumn 143, Issue 1-2, 1997, Pages 79-95

  Fortin, Michel ^a   Guénette, Robert ^a   Pierre, Roger ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; STRESS ANALYSIS; TENSORS; VISCOELASTICITY;

ELASTIC VISCOUS SPLIT STRESS (EVSS) METHOD; GENERALIZED BREZZI-BABUSKA THEORY; STOKES FLOW; VISCOELASTIC FLUIDS;

VISCOUS FLOW;

EID: 0031122357     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01145-0     Document Type: Article

References (14)

1. 2AN 26(2) (1992) 331-345.
2. C. Bernardi, C. Canuto and Y. Maday, Generalized Inf-Sup conditions for Chebyshev spectral approximation of the Stokes problem, SIAM J. Numer. Anal. 25(6) (1988) 1237-1265.
3. M.J. Crochet, A.R. Davies and K. Walters, Numerical simulation of non-Newtonian flow, Rheology Series 1 (Elsevier, 1984).
4. A. Fortin and M. Fortin, Experiments with several elements for viscous incompressible flows, Int. J. Numer. Methods Fluids 5 (1985) 911-928.
5. M. Fortin and R. Glowinski, Résolution Numérique de Problèmes aux Limites par des Méthodes de Lagrangien Augmenté (Dunod, Paris, 1983).
6. M. Fortin and R. Pierre, On the convergence of the mixed method of Crochet and Marchai for viscoelastic flows, Comput. Methods Appl. Mech. Engrg. 73(30) (1989) 341-350.
7. L.P. Franca, Analysis and finite element approximation of compressible and incompressible linear isotropic elasticity based upon a variational principle, Comput. Methods Appl. Mech. Engrg. 76 (1989) 259-273.
8. L.P. Franca and T.J.R. Hughes, Two classes of mixed finite element methods, Comput. Methods Appl. Mech. Engrg. 69 (1988) 88-129.
9. R. Guénette and M. Fortin, A new mixed finite element method for computing viscoelastic flows, J. Non-Newtonian Fluid Mech. (1995) accepted for publication.
10. R. Keunings, Simulation of viscoelastic flow, in: C.L. Tucker III, ed., Fundamentals of Computer Modeling for Polymer Processing (Carl Hanser Verlag, 1988).
11. J.M. Marchal and M.J. Crochet, A new finite element for calculating viscoelastic flows, J. Non-Newtonian Fluid Mech. 26 (1987) 77-114.
12. R.A. Nicolaides, Existence, uniqueness and approximation for generalized saddle-point problems, SIAM J. Numer. Anal. 19 (1982) 349-357.
13. G. Pilate and M.J. Crochet, Plane Flow of a second order fluid past submerged boundaries, J. Non-Newtonian Fluid Mech. 1 (1977) 247-258.
14. D. Rajagopalan, R.A. Brown and R.C. Armstrong, Finite element methods for calculation of steady viscoelastic flow using constitutive equations with a Newtonian viscosity, J. Non-Newtonian Fluid Mech. 36 (1990) 159-199.