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Volumn 45, Issue 5, 2007, Pages 2120-2140

Numerical approximation of a quasi-Newtonian Stokes flow problem with defective boundary conditions

Author keywords

Defective boundary condition; Power law fluid; Quasi Newtonian Stokes flow

Indexed keywords

APPROXIMATION SCHEMES; DEFECTIVE BOUNDARY CONDITION; NEWTONIANS; NUMERICAL APPROXIMATIONS; NUMERICAL COMPUTATIONS; OUTFLOW BOUNDARIES; POWER LAW FLUID; QUASI-NEWTONIAN STOKES FLOW; STOKES FLOWS; VARIATIONAL FORMULATIONS;

EID: 44749091765     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/060669012     Document Type: Article
Times cited : (15)

References (18)
  • 1
    • 34250459417 scopus 로고
    • The finite element method with Lagrange multiplers
    • I. BABÜSJKA, The finite element method with Lagrange multiplers, Numer. Math., 20 (1973), pp. 179-192.
    • (1973) Numer. Math , vol.20 , pp. 179-192
    • BABÜSJKA, I.1
  • 2
    • 0027693136 scopus 로고
    • Numerical analysis of a three-fields model for a quasi-Newtonian flow
    • J. BARANGER, K. NAJIB. AND D. SANDRI, Numerical analysis of a three-fields model for a quasi-Newtonian flow, Comput. Methods Appl. Mech. Engrg., 109 (1993), pp. 281-292.
    • (1993) Comput. Methods Appl. Mech. Engrg , vol.109 , pp. 281-292
    • BARANGER, J.1    NAJIB, K.2    SANDRI, D.3
  • 5
    • 33644583881 scopus 로고    scopus 로고
    • Residual a posteriori error estimator for a three-field model of a non-linear generalized Stokes problem
    • V. J. ERVIN AND T. N. PHILLIPS, Residual a posteriori error estimator for a three-field model of a non-linear generalized Stokes problem, Comput. Methods Appl. Mech. Engrg, 195 (2006), pp. 2599-2610.
    • (2006) Comput. Methods Appl. Mech. Engrg , vol.195 , pp. 2599-2610
    • ERVIN, V.J.1    PHILLIPS, T.N.2
  • 6
    • 0036556662 scopus 로고    scopus 로고
    • Numerical treatment of defective boundary conditions for the Navier-Stokes equations
    • L. FORMAGGIA, J. F. GERBEAU, F. NOBILE, AND A. QUARTERONI, Numerical treatment of defective boundary conditions for the Navier-Stokes equations, SIAM J. Numer. Anal., 40 (2002), pp. 376-401.
    • (2002) SIAM J. Numer. Anal , vol.40 , pp. 376-401
    • FORMAGGIA, L.1    GERBEAU, J.F.2    NOBILE, F.3    QUARTERONI, A.4
  • 8
    • 1442289510 scopus 로고    scopus 로고
    • G. N. GATICA, M. GONZLEZ, AND S. MEDDAHI, A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. I. A priori error analysis, Comput. Methods Appl. Mech. Engrg., 193 (2004), pp. 881-892.
    • G. N. GATICA, M. GONZLEZ, AND S. MEDDAHI, A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. I. A priori error analysis, Comput. Methods Appl. Mech. Engrg., 193 (2004), pp. 881-892.
  • 10
    • 0026843540 scopus 로고
    • Treating inhomogeneous essential boundary conditions in finite element methods and the calculation of the boundary stresses
    • M. D. GUNZBURGER AND S. L. HOU, Treating inhomogeneous essential boundary conditions in finite element methods and the calculation of the boundary stresses, SIAM J. Numer. Anal., 29 (1992), pp. 390-424.
    • (1992) SIAM J. Numer. Anal , vol.29 , pp. 390-424
    • GUNZBURGER, M.D.1    HOU, S.L.2
  • 12
    • 0029777695 scopus 로고    scopus 로고
    • Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations
    • J. G. HEYWOOD, R. RANNACHER, AND S. TUREK, Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations, Internat. J. Numer. Methods Fluids, 22 (1996), pp. 325-352.
    • (1996) Internat. J. Numer. Methods Fluids , vol.22 , pp. 325-352
    • HEYWOOD, J.G.1    RANNACHER, R.2    TUREK, S.3
  • 13
    • 0002859777 scopus 로고
    • New equations for the description of the viscous incompressible fluids and solvability in the large of the boundary value problems for them
    • American Mathematical Society, Providence, RI
    • O. A. LADYZHENSKAYA, New equations for the description of the viscous incompressible fluids and solvability in the large of the boundary value problems for them, in Boundary Value Problems of Mathematical Physics V, American Mathematical Society, Providence, RI, 1970.
    • (1970) Boundary Value Problems of Mathematical Physics V
    • LADYZHENSKAYA, O.A.1
  • 14
    • 0035579348 scopus 로고    scopus 로고
    • Mixed finite element analysis of a non-linear three-fields Stokes model
    • H. MANOUZI AND M. FARHLOUL, Mixed finite element analysis of a non-linear three-fields Stokes model, IMA J. Numer. Anal., 21 (2001), pp. 143-164.
    • (2001) IMA J. Numer. Anal , vol.21 , pp. 143-164
    • MANOUZI, H.1    FARHLOUL, M.2
  • 17
    • 0032573316 scopus 로고    scopus 로고
    • A posteriori estimators for mixed finite element approximations of a fluid obeying the power law
    • D. SANDRI, A posteriori estimators for mixed finite element approximations of a fluid obeying the power law, Comput. Methods Appl. Mech. Engrg., 166 (1998), pp. 329-340.
    • (1998) Comput. Methods Appl. Mech. Engrg , vol.166 , pp. 329-340
    • SANDRI, D.1
  • 18
    • 0001548158 scopus 로고
    • Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition
    • R. VERFÜRTH, Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition, Numer. Math., 50 (1987), pp. 697-721.
    • (1987) Numer. Math , vol.50 , pp. 697-721
    • VERFÜRTH, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.