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Volumn 192, Issue 16-18, 2003, Pages 1929-1937

Pressure bubbles stabilization features in the Stokes problem

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSATION; FINITE ELEMENT METHOD; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS;

EID: 0038702482     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(02)00628-X     Document Type: Article
Times cited : (26)

References (15)
  • 1
    • 51249186403 scopus 로고
    • A stable finite element for the Stokes equations
    • Arnold D.N. Brezzi F. Fortin M. A stable finite element for the Stokes equations Calcolo 21 1984 337 344
    • (1984) Calcolo , vol.21 , pp. 337-344
    • Arnold, D.N.1    Brezzi, F.2    Fortin, M.3
  • 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
  • 3
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers
    • Brezzi F. On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers Rev. Fr. Automat. Infor. Recherche Opérationnelle Seúter. Rouge 8 (R-2) (1974) 129-151.
    • (1974) Rev. Fr. Automat. Infor. Recherche Opérationnelle Sér. Rouge , vol.8 , Issue.2 R , pp. 129-151
    • Brezzi, F.1
  • 4
    • 0026853555 scopus 로고
    • A relationship between stabilized finite element methods and the Galerkin method with bubble functions
    • F. Brezzi, M.O. Bristeau, L.P. Franca, M. Mallet, G. Rogé,G. A relationship between stabilized finite element methods and the Galerkin method with bubble functions Comput. Methods Appl. Mech. Engrg. 96 1 1992 117 129
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.96 , Issue.1 , pp. 117-129
    • Brezzi, F.1    Bristeau, M.O.2    Franca, L.P.3    Mallet, M.4    Rogé, G.5
  • 6
    • 0003130485 scopus 로고
    • On the stabilization of finite element approximations of the Stokes equations
    • Vieweg, Braunschweig
    • F. Brezzi, J. Pitkaranta, On the stabilization of finite element approximations of the Stokes equations Efficient Solutions of Elliptic Systems (Keil, 1984) 1984 11 19 Vieweg Braunschweig
    • (1984) Efficient Solutions of Elliptic Systems (Keil, 1984) , pp. 11-19
    • Brezzi, F.1    Pitkäranta, J.2
  • 8
    • 0026928030 scopus 로고
    • Stabilized finite element methods: II. The incompressible Navier-Stokes equations
    • Franca L.P. Frey S. Stabilized finite element methods: II. The incompressible Navier-Stokes equations Comput. Methods Appl. Mech. Engrg. 99 2-3 1992 209 233
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.99 , Issue.2-3 , pp. 209-233
    • Franca, L.P.1    Frey, S.2
  • 10
  • 11
    • 0035840993 scopus 로고    scopus 로고
    • On a two-level finite element method for the incompressible Navier-Stokes equations
    • Franca L.P. Nelisturk A. On a two-level finite element method for the incompressible Navier-Stokes equations Int. J. Numer. Methods Engrg. 52 4 2001 433 453
    • (2001) Int. J. Numer. Methods Engrg. , vol.52 , Issue.4 , pp. 433-453
    • Franca, L.P.1    Nelisturk, A.2
  • 12
    • 0003280796 scopus 로고
    • Finite element approximation of the Navier-Stokes equations
    • A. Dold, B. Eckmann (Eds.), Springer-Verlag, Berlin
    • V. Girault, P.-A. Raviart, Finite element approximation of the Navier-Stokes equations, in: A. Dold, B. Eckmann (Eds.), Lecture Notes in Mathematics, vol. 749, Springer-Verlag, Berlin, 1981
    • (1981) Lecture Notes in Mathematics , vol.749
    • Girault, V.1    Raviart, P.-A.2
  • 13
    • 0023450642 scopus 로고
    • A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
    • Hughes T.J.R. Franca L.P. A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: symmetric formulations that converge for all velocity/pressure spaces Comput. Methods Appl. Mech. Engrg. 65 1 1987 85 96
    • (1987) Comput. Methods Appl. Mech. Engrg. , vol.65 , Issue.1 , pp. 85-96
    • Hughes, T.J.R.1    Franca, L.P.2
  • 14
    • 0022810283 scopus 로고
    • A new finite element formulation for computational fluid dynamics. V. Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-orderinterpolations
    • Hughes T.J.R. Franca L.P. Balestra M. A new finite element formulation for computational fluid dynamics. V. Circumventing the Babuška-Brezzi condition: a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-orderinterpolations, Comput. Methods Appl. Mech. Engrg. 59 (1) (1986) 85-99.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.59 , Issue.1 , pp. 85-99
    • Hughes, T.J.R.1    Franca, L.P.2    Balestra, M.3
  • 15
    • 0024012062 scopus 로고
    • 0 approximations for the computation of incompressible flows
    • 0 approximations for the computation of incompressible flows Comput. Methods Appl. Mech. Engrg. 68 1988 205 227
    • (1988) Comput. Methods Appl. Mech. Engrg. , vol.68 , pp. 205-227
    • Pierre, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.