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Volumn 111, Issue 1-2, 1999, Pages 281-295

A finite element approximation for the steady solution of a second-grade fluid model

Author keywords

FEM approximation; Fixed point algorithm; Second Grade fluid; Stokes system; Transport equation

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; TRANSPORT PROPERTIES;

EID: 0345103205     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00149-1     Document Type: Article
Times cited : (6)

References (30)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York
    • R. Adams, Sobolev Spaces, Academic Press, New York, 1975.
    • (1975) Sobolev Spaces
    • Adams, R.1
  • 2
    • 34250459417 scopus 로고
    • The finite element method with Lagrangian multipliers
    • Babuška I. The finite element method with Lagrangian multipliers. Numer. Math. 20:1973;179-192.
    • (1973) Numer. Math. , vol.20 , pp. 179-192
    • Babuška, I.1
  • 4
    • 21144475083 scopus 로고
    • Finite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds
    • Baranger J., Sandri D. Finite element approximation of viscoelastic fluid flow: existence of approximate solutions and error bounds. Numer. Math. 63:1991;13-27.
    • (1991) Numer. Math. , vol.63 , pp. 13-27
    • Baranger, J.1    Sandri, D.2
  • 5
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
    • Brezzi F. On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers. R. A. I. R. O, Anal. Numer. R2:1974;129-151.
    • (1974) R. A. I. R. O, Anal. Numer. , vol.2 , pp. 129-151
    • Brezzi, F.1
  • 6
    • 0028466070 scopus 로고
    • Uniqueness and stability of regular steady motions of a second-grade fluid
    • Coscia V., Galdi G.P. Uniqueness and stability of regular steady motions of a second-grade fluid. Int. J. Nonlinear Mech. 29:1994;439-506.
    • (1994) Int. J. Nonlinear Mech. , vol.29 , pp. 439-506
    • Coscia, V.1    Galdi, G.P.2
  • 8
    • 0029289811 scopus 로고
    • Fluids of differential type: Critical review and thermodynamic analysis
    • Dunn J.E., Rajagopal K.R. Fluids of differential type: critical review and thermodynamic analysis. Int. J. Eng. Sci. 33:1995;689-729.
    • (1995) Int. J. Eng. Sci. , vol.33 , pp. 689-729
    • Dunn, J.E.1    Rajagopal, K.R.2
  • 9
    • 0023438857 scopus 로고
    • A finite element procedure for viscoelastic flows
    • Fortin M., Essellaoui D. A finite element procedure for viscoelastic flows. Int. J. Numer. Meth. Fluid. 7:1987;1035-1052.
    • (1987) Int. J. Numer. Meth. Fluid. , vol.7 , pp. 1035-1052
    • Fortin, M.1    Essellaoui, D.2
  • 10
    • 0024702169 scopus 로고
    • A new finite approach for the F.E.M., simulation of viscoelastic flows
    • Fortin M., Fortin A. A new finite approach for the F.E.M., simulation of viscoelastic flows. J. Non-Newtonian Fluid Mech. 32:1989;295-310.
    • (1989) J. Non-Newtonian Fluid Mech. , vol.32 , pp. 295-310
    • Fortin, M.1    Fortin, A.2
  • 11
    • 0024719354 scopus 로고
    • On the convergence of the mixed method of crochet and marchal for viscoelastic flows
    • Fortin M., Pierre R. On the convergence of the mixed method of crochet and marchal for viscoelastic flows. Comput. Meth. Appl. Mech. Eng. 73:1989;341-350.
    • (1989) Comput. Meth. Appl. Mech. Eng. , vol.73 , pp. 341-350
    • Fortin, M.1    Pierre, R.2
  • 12
    • 0002816568 scopus 로고
    • An Introduction to the Mathematical Theory of the Navier-Stokes Equations
    • Springer, New York
    • G.P. Galdi, An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Vol. I-Linearized Steady Problems, Springer, New York, 1994.
    • (1994) Vol. I-Linearized Steady Problems
    • Galdi, G.P.1
  • 13
    • 21344490495 scopus 로고
    • Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids
    • Galdi G.P., Grobbelaar-Van Dalsen M., Sauer N. Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids. Arch. Rational Mech. Anal. 124:1993;221-237.
    • (1993) Arch. Rational Mech. Anal. , vol.124 , pp. 221-237
    • Galdi, G.P.1    Grobbelaar-Van Dalsen, M.2    Sauer, N.3
  • 14
    • 21844522803 scopus 로고
    • Further existence results for classical solutions of the equations of a second-grade fluid
    • Galdi G.P., Sequeira A. Further existence results for classical solutions of the equations of a second-grade fluid. Arch. Rational Mech. Anal. 128:1994;297-312.
    • (1994) Arch. Rational Mech. Anal. , vol.128 , pp. 297-312
    • Galdi, G.P.1    Sequeira, A.2
  • 15
    • 0010293182 scopus 로고    scopus 로고
    • Steady motions of a second-grade fluid in an exterior domain
    • Galdi G.P., Sequeira A., Videman J.H. Steady motions of a second-grade fluid in an exterior domain. Adv. Math. Sci. Appl. 7(2):1997;977-995.
    • (1997) Adv. Math. Sci. Appl. , vol.7 , Issue.2 , pp. 977-995
    • Galdi, G.P.1    Sequeira, A.2    Videman, J.H.3
  • 17
    • 85040306198 scopus 로고
    • Numerical Methods for Nonlinear Variational Problems
    • Springer, Berlin
    • R. Glowinski, Numerical Methods for Nonlinear Variational Problems, Springer Serie in Computacional Physics, Springer, Berlin, 1984.
    • (1984) Springer Serie in Computacional Physics
    • Glowinski, R.1
  • 18
    • 0005467399 scopus 로고
    • Mathematical problems arising in differential models for viscoelastic fluids
    • in: J.F. Rodrigues, A. Sequeira (Eds.), Mathematical Topics in Fluid Mechanics
    • C. Guillopé, J.-C. Saut, Mathematical problems arising in differential models for viscoelastic fluids, in: J.F. Rodrigues, A. Sequeira (Eds.), Mathematical Topics in Fluid Mechanics, Pitman Research Notes in Mathematics Series, Vol. 274, 1992, pp. 64.
    • (1992) Pitman Research Notes in Mathematics Series , vol.274 , pp. 64
    • Guillopé, C.1    Saut, J.-C.2
  • 21
    • 0023452123 scopus 로고
    • A new finite element for calculating viscoelastic flow
    • Marchal J.M., Crochet M.J. A new finite element for calculating viscoelastic flow. J. Non-Newtonian Fluid Mech. 26:1987;77-114.
    • (1987) J. Non-Newtonian Fluid Mech. , vol.26 , pp. 77-114
    • Marchal, J.M.1    Crochet, M.J.2
  • 22
    • 21844525798 scopus 로고
    • On a decoupled algorithm for solving a finite element problem for the approximation of viscoelastic fluid flow
    • Najib K., Sandri D. On a decoupled algorithm for solving a finite element problem for the approximation of viscoelastic fluid flow. Numer. Math. 72:1995;223-238.
    • (1995) Numer. Math. , vol.72 , pp. 223-238
    • Najib, K.1    Sandri, D.2
  • 23
    • 0040922131 scopus 로고    scopus 로고
    • A note on steady flows of non-newtonian fluids in channels and pipes
    • in: L. Magalh ã es, C. Rocha, L. Sanchez (Eds.), World Scientific, Singapore
    • K. Pileckas, A. Sequeira, J. Videman, A note on steady flows of non-newtonian fluids in channels and pipes, in: L. Magalh ã es, C. Rocha, L. Sanchez (Eds.), Equadiff 95, World Scientific, Singapore, 1998, pp. 458-467.
    • (1998) Equadiff 95 , pp. 458-467
    • Pileckas, K.1    Sequeira, A.2    Videman, J.3
  • 25
    • 0000762280 scopus 로고
    • On boundary conditions for fluids of the differential type
    • A. Sequeira (Ed.), Plenum Press, New York
    • K.R. Rajagopal, On boundary conditions for fluids of the differential type, A. Sequeira (Ed.), Navier-Stokes Equations and Related Nonlinear Problems, Plenum Press, New York, 1995, pp. 273-278.
    • (1995) Navier-Stokes Equations and Related Nonlinear Problems , pp. 273-278
    • Rajagopal, K.R.1
  • 26
    • 0002230177 scopus 로고
    • Some remarks on boundary conditions for flows of fluids of the differential type
    • in: G. Graham, S.K. Malik (Eds.), Hemisphere Press
    • K.R. Rajagopal, P.N. Kaloni, Some remarks on boundary conditions for flows of fluids of the differential type, in: G. Graham, S.K. Malik (Eds.), Continuum Mechanics and its Applications, Hemisphere Press, 1989, pp. 935-942.
    • (1989) Continuum Mechanics and Its Applications , pp. 935-942
    • Rajagopal, K.R.1    Kaloni, P.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.