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Volumn 166, Issue 1-2, 1998, Pages 65-83

Stabilized spectral methods for the Navier-Stokes equations: Residual-free bubbles and preconditioning

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS;

EID: 0032515211     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00083-8     Document Type: Article
Times cited : (15)

References (20)
  • 1
    • 51249186403 scopus 로고
    • A stable finite element for the Stokes equations
    • [1] D.N. Arnold, F. Brezzi and M. Fortin, A stable finite element for the Stokes equations, Calcolo 23 (1984) 337-344.
    • (1984) Calcolo , vol.23 , pp. 337-344
    • Arnold, D.N.1    Brezzi, F.2    Fortin, M.3
  • 3
    • 0026853555 scopus 로고
    • A relationship between stabilized finite element methods and the Galerkin method with bubble functions
    • [3] F. Brezzi, M. Bristeau, L. Franca, M. Mallet and G. Rogé, A relationship between stabilized finite element methods and the Galerkin method with bubble functions, Comput. Methods Appl. Mech. Engrg. 96 (1992) 117-129.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.96 , pp. 117-129
    • Brezzi, F.1    Bristeau, M.2    Franca, L.3    Mallet, M.4    Rogé, G.5
  • 5
    • 0001078341 scopus 로고
    • Choosing bubbles for advection-diffusion problems
    • [5] F. Brezzi and A. Russo, Choosing bubbles for advection-diffusion problems, Math. Models Methods Appl. Sci. 4 (1994) 571-587.
    • (1994) Math. Models Methods Appl. Sci. , vol.4 , pp. 571-587
    • Brezzi, F.1    Russo, A.2
  • 6
    • 0028450350 scopus 로고
    • Stabilization of spectral methods by finite element bubble functions
    • [6] C. Canuto, Stabilization of spectral methods by finite element bubble functions, Comput. Methods Appl. Mech. Engrg. 116 (1994) 13-26.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.116 , pp. 13-26
    • Canuto, C.1
  • 7
    • 0028519654 scopus 로고
    • Bubble stabilization of spectral Legendre methods for the advection-diffusion equation
    • [7] C. Canuto and G. Puppo, Bubble stabilization of spectral Legendre methods for the advection-diffusion equation, Comput. Methods Appl. Mech. Engrg. 118 (1994) 239-264.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.118 , pp. 239-264
    • Canuto, C.1    Puppo, G.2
  • 8
    • 0030208628 scopus 로고    scopus 로고
    • Bubble-stabilized spectral methods for the incompressible Navier-Stokes equations
    • [8] C. Canuto and V. Van Kemenade, Bubble-stabilized spectral methods for the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 135 (1996) 35-61.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.135 , pp. 35-61
    • Canuto, C.1    Van Kemenade, V.2
  • 10
    • 0015762231 scopus 로고
    • Conforming and non-conforming finite element methods for solving the stationary Stokes problem
    • [10] M. Crouzeix and P.A. Raviart, Conforming and non-conforming finite element methods for solving the stationary Stokes problem, R.A.I.R.O. Anal. Numer. 7 (1973) 33-75.
    • (1973) R.A.I.R.O. Anal. Numer. , vol.7 , pp. 33-75
    • Crouzeix, M.1    Raviart, P.A.2
  • 11
    • 38249025847 scopus 로고
    • Chebyshev pseudospectral solution of the Stokes equations using finite element preconditioning
    • [11] P. Demaret and M.O. Deville, Chebyshev pseudospectral solution of the Stokes equations using finite element preconditioning, J. Comput. Phys. 83 (1989) 463-484.
    • (1989) J. Comput. Phys. , vol.83 , pp. 463-484
    • Demaret, P.1    Deville, M.O.2
  • 12
    • 0031145109 scopus 로고    scopus 로고
    • An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations
    • [12] P.F. Fisher, An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations, J. Comput. Phys. 133 (1997) 84-101.
    • (1997) J. Comput. Phys. , vol.133 , pp. 84-101
    • Fisher, P.F.1
  • 13
    • 84987505901 scopus 로고
    • A test problem for outflow boundary conditions - Flow over a backward facing step
    • [13] D.K. Gartling, A test problem for outflow boundary conditions - flow over a backward facing step, Int. J. Numer. Methods Fluids 11 (1990) 953-967.
    • (1990) Int. J. Numer. Methods Fluids , vol.11 , pp. 953-967
    • Gartling, D.K.1
  • 15
    • 0030209169 scopus 로고    scopus 로고
    • Unsteadiness and convective instabilities in two-dimensional flow over a backward-facing step
    • [15] L. Kaitsus, G.E. Karniadakis and S.A. Orszag. Unsteadiness and convective instabilities in two-dimensional flow over a backward-facing step, J. Fluid Mech. 321 (1996) 157-187.
    • (1996) J. Fluid Mech. , vol.321 , pp. 157-187
    • Kaitsus, L.1    Karniadakis, G.E.2    Orszag, S.A.3
  • 17
    • 0026908927 scopus 로고
    • Finite element preconditioning for Legendre spectral collocation approximations to elliptic equations and systems
    • [17] A. Quarteroni and E. Zampieri, Finite element preconditioning for Legendre spectral collocation approximations to elliptic equations and systems, SIAM J. Numer. Anal. 29 (1992) 917-932.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 917-932
    • Quarteroni, A.1    Zampieri, E.2
  • 18
    • 0030158797 scopus 로고    scopus 로고
    • Bubble stabilization of finite element methods for the linearized incompressible Navier-Stokes equations
    • [18] A. Russo, Bubble stabilization of finite element methods for the linearized incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. 132 (1996) 335-343.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.132 , pp. 335-343
    • Russo, A.1
  • 19
    • 0030558903 scopus 로고    scopus 로고
    • A posteriori error indicators via bubble functions
    • [19] A. Russo, A posteriori error indicators via bubble functions, Math. Models Methods Appl. Sci. 6 (1996) 33-41.
    • (1996) Math. Models Methods Appl. Sci. , vol.6 , pp. 33-41
    • Russo, A.1
  • 20
    • 85030358227 scopus 로고    scopus 로고
    • Krylov subspace acceleration for nonlinear multigrid schemes
    • to appear.
    • [20] T. Washio and C.W. Oosterlee, Krylov subspace acceleration for nonlinear multigrid schemes, SIAM J. Sci. Comput., to appear.
    • SIAM J. Sci. Comput.
    • Washio, T.1    Oosterlee, C.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.