Free Access
Volume 35, Number 5, September-October 2001
Page(s) 879 - 897
Published online 15 April 2002
  1. F.P.T. Baaijens, Mixed finite element methods for viscoelastic flow analysis: a review. J. Non-Newtonian Fluid Mech. 79 (1998) 361-385. [CrossRef]
  2. I. Babuska, R. Duran, and R. Rodriguez, Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements. SIAM J. Numer. Anal. 29 (1992) 947-964. [CrossRef] [MathSciNet]
  3. J. Baranger and H. El-Amri, Estimateurs a posteriori d'erreur pour le calcul adaptatif d'écoulements quasi-newtoniens. RAIRO Modél. Math. Anal. Numér. 25 (1991) 31-48. [MathSciNet]
  4. J. Baranger and D. Sandri, Finite element approximation of viscoelastic fluid flow. Numer. Math. 63 (1992) 13-27. [CrossRef] [MathSciNet]
  5. M. Behr, L. Franca, and T. Tezduyar, Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows. Comput. Methods Appl. Mech. Engrg. 104 (1993) 31-48. [CrossRef] [MathSciNet]
  6. J. Bonvin, M. Picasso and R. Stenberg, GLS and EVSS methods for a three-field Stokes problem arising from viscoelastic flows. Comput. Methods Appl. Mech. Engrg. 190 (2001) 3893-3914. [CrossRef] [MathSciNet]
  7. J.C. Bonvin, Numerical simulation of viscoelastic fluids with mesoscopic models. Ph.D. thesis, Département de Mathématiques, École Polytechnique Fédérale de Lausanne (2000).
  8. J.C. Bonvin and M. Picasso, Variance reduction methods for CONNFFESSIT-like simulations. J. Non-Newtonian Fluid Mech. 84 (1999) 191-215. [CrossRef]
  9. G. Caloz and J. Rappaz, Numerical analysis for nonlinear and bifurcation problems, in Handbook of Numerical Analysis. Vol. V: Techniques of Scientific Computing (Part 2), P.G. Ciarlet and J.L. Lions, Eds., Elsevier, Amsterdam (1997) 487-637.
  10. P.G. Ciarlet, The Finite Element Method for Elliptic Problems. North-Holland Publishing Company, Amsterdam, New York, Oxford (1978).
  11. P. Clément, Approximation by finite elements using local regularization. RAIRO Anal. Numér. 8 (1975) 77-84.
  12. M. Fortin, R. Guénette, and R. Pierre, Numerical analysis of the modified EVSS method. Comput. Methods Appl. Mech. Engrg. 143 (1997) 79-95. [CrossRef] [MathSciNet]
  13. M. Fortin and R. Pierre, On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows. Comput. Methods Appl. Mech. Engrg. 73 (1989) 341-350. [CrossRef] [MathSciNet]
  14. L. Franca, S. Frey, and T.J.R. Hughes, Stabilized finite element methods: Application to the advective-diffusive model. Comput. Methods Appl. Mech. Engrg. 95 (1992) 253-276. [CrossRef] [MathSciNet]
  15. L. Franca and R. Stenberg, Error analysis of some GLS methods for elasticity equations. SIAM J. Numer. Anal. 28 (1991) 1680-1697. [CrossRef] [MathSciNet]
  16. X. Gallez, P. Halin, G. Lielens, R. Keunings, and V. Legat, The adaptative Lagrangian particle method for macroscopic and micro-macro computations of time-dependent viscoelastic flows. Comput. Methods Appl. Mech. Engrg. 180 (199) 345-364.
  17. V. Girault and L.R. Scott, Analysis of a 2nd grade-two fluid model with a tangential boundary condition. J. Math. Pures Appl. 78 (1999) 981-1011. [CrossRef] [MathSciNet]
  18. P. Grisvard, Elliptic Problems in Non Smooth Domains. Pitman, Boston (1985).
  19. C. Guillopé and J.-C. Saut, Existence results for the flow of viscoelastic fluids with a differential constitutive law. Nonlinear Anal. 15 (1990) 849-869. [CrossRef] [MathSciNet]
  20. M.A. Hulsen, A.P.G. van Heel, and B.H.A.A. van den Brule, Simulation of viscoelastic clows using Brownian configuration Fields. J. Non-Newtonian Fluid Mech. 70 (1997) 79-101. [CrossRef]
  21. K. Najib and D. Sandri, On a decoupled algorithm for solving a finite element problem for the approximation of viscoelastic fluid flow. Numer. Math. 72 (1995) 223-238. [CrossRef] [MathSciNet]
  22. L.M. Quinzani, R.C. Armstrong, and R.A. Brown, Birefringence and Laser-Doppler velocimetry studies of viscoelastic flow through a planar contraction. J. Non-Newtonian Fluid Mech. 52 (1994) 1-36. [CrossRef]
  23. M. Renardy, Existence of slow steady flows of viscoelastic fluids with differential constitutive equations. Z. Angew. Math. Mech. 65 (1985) 449-451. [CrossRef] [MathSciNet]
  24. V. Ruas, Finite element methods for the three-field stokes system. RAIRO Modél. Math. Anal. Numér. 30 (1996) 489-525. [MathSciNet]
  25. D. Sandri, Analysis of a three-fields approximation of the stokes problem. RAIRO Modél. Math. Anal. Numér. 27 (1993) 817-841. [MathSciNet]
  26. A. Sequeira and M. Baia, A finite element approximation for the steady solution of a second-grade fluid model. J. Comput. Appl. Math. 111 (1999) 281-295. [CrossRef] [MathSciNet]
  27. R. Temam, Navier-Stokes Equations: Theory and Numerical Analysis. North-Holland Publishing Company, Amsterdam, New York, Oxford (1984).
  28. R. Verfürth, A posteriori error estimators for the Stokes equations. Numer. Math. 55 (1989) 309-325. [CrossRef] [MathSciNet]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you