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Volumn 189, Issue 1, 2000, Pages 121-139

On the discrete EVSS method

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DEFORMATION; ERROR ANALYSIS; FINITE ELEMENT METHOD; NEWTONIAN FLOW; STEADY FLOW; STRESS ANALYSIS; TENSORS;

EID: 0034245758     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00292-3     Document Type: Article
Times cited : (48)

References (16)
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    • R.A. Brown M.J. Szady P.J. Northey R.C. Armstrong On the numerical stability of mixed finite-element methods for viscoelastic flows governed by differential constitutive equations Theoret. Comput. Fluid Dynamics 5 1993 77 106
    • (1993) Theoret. Comput. Fluid Dynamics , vol.5 , pp. 77-106
    • Brown, R.A.1    Szady, M.J.2    Northey, P.J.3    Armstrong, R.C.4
  • 3
    • 0001004289 scopus 로고    scopus 로고
    • Generalized Inf–Sup conditions for Chebyshev spectral approximation of the Stokes problem
    • C. Bernardi C. Canuto Y. Maday Generalized Inf–Sup conditions for Chebyshev spectral approximation of the Stokes problem SIAM J. Numer. Anal. 25 6 1998 1237 1265
    • (1998) SIAM J. Numer. Anal. , vol.25 , Issue.6 , pp. 1237-1265
    • Bernardi, C.1    Canuto, C.2    Maday, Y.3
  • 4
    • 0024719354 scopus 로고
    • On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows
    • M. Fortin R. Pierre On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows Comput. Methods. Appl. Mech. Engrg. 73 30 1989 341 350
    • (1989) Comput. Methods. Appl. Mech. Engrg. , vol.73 , Issue.30 , pp. 341-350
    • Fortin, M.1    Pierre, R.2
  • 5
    • 0025474324 scopus 로고
    • Finite element methods for calculation of steady viscoelastic flow using constitutive equations with a Newtonian viscosity
    • D. Rajagopalan R.A. Brown 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
    • (1990) J. Non-Newtonian Fluid Mech. , vol.36 , pp. 159-199
    • Rajagopalan, D.1    Brown, R.A.2    Armstrong, R.C.3
  • 7
    • 0029379966 scopus 로고
    • A new mixed finite element method for computing viscoelastic flows
    • R. Guénette M. Fortin A new mixed finite element method for computing viscoelastic flows J. Non-Newtonian Fluid Mech. 60 1995 27 52
    • (1995) J. Non-Newtonian Fluid Mech. , vol.60 , pp. 27-52
    • Guénette, R.1    Fortin, M.2
  • 8
    • 85120141329 scopus 로고    scopus 로고
    • D. Sandri, Analyse numérique de fluides non-newtoniens: fluides viscoélastiques et fluides quasi-newtoniens, Ph.D. Thesis, Université Claude Bernard – Lyon 1, 1991
  • 9
    • 0000291118 scopus 로고
    • Optimal selection of the bubble function in the stabilization of the P1–P1 element for the Stokes problem
    • R. Pierre Optimal selection of the bubble function in the stabilization of the P1–P1 element for the Stokes problem SIAM J. Numer. Anal. 82 4 1995 1210 1224
    • (1995) SIAM J. Numer. Anal. , vol.82 , Issue.4 , pp. 1210-1224
    • Pierre, R.1
  • 10
    • 85120105882 scopus 로고    scopus 로고
    • F. Brezzi, M. Fortin, Private communication
  • 11
    • 85120094051 scopus 로고    scopus 로고
    • R.B. Bird, C.F. Curtiss, R.C. Armstrong, J. Hassenger, Dynamics of Polymeric Liquids, vol. 2, Kinetic Theory, 2nd ed., Wiley, New York, 1987
  • 12
    • 0032030031 scopus 로고    scopus 로고
    • An iterative solver for the DEVSS/DG method with application to smooth and non-smooth flows of the upper convected Maxwell fluid
    • F. Baaijens An iterative solver for the DEVSS/DG method with application to smooth and non-smooth flows of the upper convected Maxwell fluid J. Non-Newtonian Fluid Mech. 75 1998 119 138
    • (1998) J. Non-Newtonian Fluid Mech. , vol.75 , pp. 119-138
    • Baaijens, F.1
  • 13
    • 85120135164 scopus 로고    scopus 로고
    • M. Fortin, R. Glowinski, Résolution Numérique de Problèmes aux Limites par des Méthodes de Lagrangien Augmenté, Dunod, Paris, 1983
  • 14
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