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All issues Volume 6 / No 5 (2011) Math. Model. Nat. Phenom., 6 5 (2011) 130-156 References
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Issue
Math. Model. Nat. Phenom.
Volume 6, Number 5, 2011
Complex Fluids
Page(s) 130 - 156
DOI https://doi.org/10.1051/mmnp/20116507
Published online 10 August 2011
  1. D.N. Arnold, F. Brezzi, J. Douglas. PEERS: A new mixed finite element for plane elasticity. Japan J. Appl. Math., 1 (1984), 347–367. [CrossRef] [MathSciNet] [Google Scholar]
  2. J. Baranger, D. Sandri. A formulation of Stokes’s problem and the linear elasticity equations suggested by the Oldroyd model for viscoelastic flow. M2AN, 26 (1992), 331–345. [Google Scholar]
  3. F. Brezzi, M. Fortin. Mixed and Hybrid Finite Element Methods. Springer-Verlag, Berlin, 1991. [Google Scholar]
  4. P.G. Ciarlet. The Finite Element Method for Elliptic Problems. North-Holland, 1978. [Google Scholar]
  5. P. Clément. Approximation by finite element functions using local regularization. RAIRO Anal. Numer., 2 (1975), 77–84. [Google Scholar]
  6. C. Cox, H. Lee, D. Szurley. Finite element approximation of the non–isothermal Stokes–Oldroyd equations. Int. J. Numer. Anal. Mod., 4 (2007), 425–440. [Google Scholar]
  7. S. Damak Besbes, C. Guillopé. Non-isothermal flows of viscoelastic incompressible fluids. Nonlinear Analysis, 44 (2001), 919–942. [Google Scholar]
  8. J. Douglas, Jr., J.E. Roberts. Global estimates for mixed methods for second order elliptic equations. Math. Comp., 44 (1985), 39–52. [CrossRef] [MathSciNet] [Google Scholar]
  9. L.C. Evans. Partial Differential Equations. Graduate Studies in Mathematics, Vol. 19, American Mathematical Society, Providence, RI, 1999. [Google Scholar]
  10. M. Farhloul, M. Fortin. A new mixed finite element for the Stokes and elasticity problems. SIAM J. Numer. Anal., 30 (1993), 971–990. [CrossRef] [MathSciNet] [Google Scholar]
  11. M. Farhloul, M. Fortin. Dual hybrid methods for the elasticity and the Stokes problems: a unified approach. Numer. Math., 76 (1997), 419–440. [CrossRef] [MathSciNet] [Google Scholar]
  12. M. Farhloul, A.M. Zine. A new mixed finite element method for the Stokes problem. J. Math. Anal. Appl., 276 (2002), 329–342. [CrossRef] [MathSciNet] [Google Scholar]
  13. P. Grisvard. Problèmes aux limites dans les polygones, mode d’emploi. EDF Bull. Direction Etudes Rech. Sér. C Math. Inform., 1 (1986), 21–59. [Google Scholar]
  14. J.C. Nedelec. Mixed finite elements in ℝ3. Numer. Math., 35 (1980), 315–341. [CrossRef] [MathSciNet] [Google Scholar]
  15. G.W.M. Peters, F.T.O. Baaijens. Modelling of non-isothermal viscoelastic flow. J. Non-Newtonian Fluid Mech., 68 (1997), 205–224. [CrossRef] [Google Scholar]
  16. P.A. Raviart, J.M. Thomas. A mixed finite element method for 2nd order elliptic problems, Lecture Notes in Mathematics, Vol. 606, Springer-Verlag, New-York, 1977, pp. 292-315. [Google Scholar]
  17. J.E. Roberts, J.M. Thomas. Mixed and hybrid finite element methods, Handbook of Numerical Analysis, vol. II, Finite Element Methods (part I), P.G Ciarlet, J.L. Lions (Eds.), North-Holland, 1989. [Google Scholar]

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