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Volumn 6, Issue 2-3, 2004, Pages 105-112

A fast preconditioner for the incompressible Navier Stokes Equations

Author keywords

[No Author keywords available]

Indexed keywords

FACTORIZATION; INCOMPRESSIBLE FLOW;

EID: 20044395736     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s00791-003-0114-z     Document Type: Article
Times cited : (20)

References (23)
  • 1
    • 0030783493 scopus 로고    scopus 로고
    • Iterative techniques for time dependent stokes problems
    • Bramble, J., Pasciak, J. E.: Iterative techniques for time dependent Stokes problems. Comp. Math. Appl. 33 (1/2), 13-30 (1997)
    • (1997) Comp. Math. Appl. , vol.33 , Issue.1-2 , pp. 13-30
    • Bramble, J.1    Pasciak, J.E.2
  • 2
    • 0024249068 scopus 로고
    • Some fast 3D finite element solvers for the generalized stokes problem
    • Cahouet, J., Chabard, J.-P.: Some fast 3D finite element solvers for the generalized Stokes problem. Int. J. Num. Meth. Fluids 8, 869-895 (1988)
    • (1988) Int. J. Num. Meth. Fluids , vol.8 , pp. 869-895
    • Cahouet, J.1    Chabard, J.-P.2
  • 3
    • 0041909738 scopus 로고    scopus 로고
    • Higher order triangular finite elements with mass lumping for the wave equation
    • Cohen, G., Joly, P., Roberts, J., Tordjman, N.: Higher order triangular finite elements with mass lumping for the wave equation. SIAM J. Numer. Anal. 38, 2047-2078 (2001)
    • (2001) SIAM J. Numer. Anal. , vol.38 , pp. 2047-2078
    • Cohen, G.1    Joly, P.2    Roberts, J.3    Tordjman, N.4
  • 4
    • 0001566269 scopus 로고    scopus 로고
    • Multigrid, krylov subspace methods for the discrete stokes equations
    • Elman, H.: Multigrid, Krylov subspace methods for the discrete Stokes equations. Int. J. Num. Meth. Fluids 22, 755-770 (1996)
    • (1996) Int. J. Num. Meth. Fluids , vol.22 , pp. 755-770
    • Elman, H.1
  • 5
    • 0033279287 scopus 로고    scopus 로고
    • Preconditioning for the steady-state navier-stokes equations with low viscosity
    • Elman, H. C.: Preconditioning for the steady-state Navier-Stokes equations with low viscosity. SIAM J Sci. Comp. 20, 1299-1316 (1999)
    • (1999) SIAM J Sci. Comp. , vol.20 , pp. 1299-1316
    • Elman, H.C.1
  • 7
    • 0036003235 scopus 로고    scopus 로고
    • Performance and analysis of saddle point preconditioners for the discrete steady-state navier-stokes equations
    • Elman, H. C., Silvester, D. J., Wathen, A. J.: Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. Numer. Math. 90, 665-688 (2002)
    • (2002) Numer. Math. , vol.90 , pp. 665-688
    • Elman, H.C.1    Silvester, D.J.2    Wathen, A.J.3
  • 8
    • 0022810283 scopus 로고
    • A new finite element formulation for computational fluid dynamics: V. Circumventing the babuska-brezzi condition
    • Hughes, T., Franca, L., Balestra, M.: A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition. Comp. Meth. Appl. Mech. Engrg. 59, 85-99 (1986)
    • (1986) Comp. Meth. Appl. Mech. Engrg. , vol.59 , pp. 85-99
    • Hughes, T.1    Franca, L.2    Balestra, M.3
  • 9
    • 0037250656 scopus 로고    scopus 로고
    • A preconditioner for the steady-state navier-stokes equations
    • Kay, D., Loghin, D., Wathen, A.: A preconditioner for the steady-state Navier-Stokes equations. SIAM J. Stat. Comp. 24, 237-256 (2002)
    • (2002) SIAM J. Stat. Comp. , vol.24 , pp. 237-256
    • Kay, D.1    Loghin, D.2    Wathen, A.3
  • 10
    • 46549092989 scopus 로고
    • Application of a fractional step method to incompressible navier-stokes equations
    • Kim, J., Moin, P.: Application of a fractional step method to incompressible Navier-Stokes equations. J. Comp. Phys. 59, 308-323 (1985)
    • (1985) J. Comp. Phys. , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 11
    • 0034372562 scopus 로고    scopus 로고
    • Effective preconditioning of uzawa type schemes for a generalized stokes problem
    • Kobelkow, G. M., Olshanskii, M.: Effective preconditioning of Uzawa type schemes for a generalized Stokes problem. Num. Mat. 86, 443-470 (2000)
    • (2000) Num. Mat. , vol.86 , pp. 443-470
    • Kobelkow, G.M.1    Olshanskii, M.2
  • 13
    • 0002615718 scopus 로고
    • An analysis of the fractional step method
    • Perot, B.: An analysis of the fractional step method. J. Comp. Phys. 108, 51-58 (1993)
    • (1993) J. Comp. Phys. , vol.108 , pp. 51-58
    • Perot, B.1
  • 15
    • 0033542258 scopus 로고    scopus 로고
    • Analysis of the yosida method for the incompressible navier-stokes equations
    • Quarteroni, A., Saleri, F., Veneziani, A.: Analysis of the Yosida method for the incompressible Navier-Stokes equations. J. Math. Pures Appl. 78, 473-503 (1999)
    • (1999) J. Math. Pures Appl. , vol.78 , pp. 473-503
    • Quarteroni, A.1    Saleri, F.2    Veneziani, A.3
  • 16
    • 0034234056 scopus 로고    scopus 로고
    • Factorization methods for the numerical approximation of navier-stokes equations
    • Quarteroni, A., Saleri, F., Veneziani, A.: Factorization methods for the numerical approximation of Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 188, 505-526 (2000)
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.188 , pp. 505-526
    • Quarteroni, A.1    Saleri, F.2    Veneziani, A.3
  • 20
    • 0035281553 scopus 로고    scopus 로고
    • Efficient preconditioning of the linearized navier-stokes equations for incompressible flow
    • Silvester, D., Elman, H., Kay, D., Wathen, A.: Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. J. Comp. Appl. Math. 128, 261-279 (2001)
    • (2001) J. Comp. Appl. Math. , vol.128 , pp. 261-279
    • Silvester, D.1    Elman, H.2    Kay, D.3    Wathen, A.4
  • 21
    • 0029674537 scopus 로고    scopus 로고
    • An approximate projection scheme for incompressible flow using spectral methods
    • Timmermans, L., Minev, P., de Vosse, F.V.: An approximate projection scheme for incompressible flow using spectral methods. Int. Jou. Num. Meth. Fluids 22, 673-688 (1996)
    • (1996) Int. Jou. Num. Meth. Fluids , vol.22 , pp. 673-688
    • Timmermans, L.1    Minev, P.2    De Vosse, F.V.3
  • 23
    • 0038610818 scopus 로고    scopus 로고
    • Block factorized solvers and preconditioners for the incompressible navier-stokes equations
    • Veneziani, A.: Block factorized solvers and preconditioners for the incompressible Navier-Stokes equations. Num. Meth. Part. Diff. Eqns. 19, 487-510 (2003)
    • (2003) Num. Meth. Part. Diff. Eqns. , vol.19 , pp. 487-510
    • Veneziani, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.