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Volumn 163, Issue 1, 2000, Pages 262-267

On Newton-Krylov Multigrid Methods for the Incompressible Navier-Stokes Equations

Author keywords

[No Author keywords available]

Indexed keywords

INCOMPRESSIBLE (NAVIER )STOKES EQUATION; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; MULTIGRID METHODS; NEWTON-KRYLOV;

EID: 0001229827     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6561     Document Type: Article
Times cited : (24)

References (13)
  • 1
    • 0033293109 scopus 로고    scopus 로고
    • A multigrid preconditioned Newton-Krylov method
    • D. A. Knoll and W. J. Rider, A multigrid preconditioned Newton-Krylov method, SIAM J. Sci. Comput. 21, 691 (2000).
    • (2000) SIAM J. Sci. Comput. , vol.21 , pp. 691
    • Knoll, D.A.1    Rider, W.J.2
  • 2
    • 0001651643 scopus 로고
    • Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms
    • T. F. Chan and K. R. Jackson, Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms, SIAM J. Sci. Stat. Comput. 5, 533 (1984).
    • (1984) SIAM J. Sci. Stat. Comput. , vol.5 , pp. 533
    • Chan, T.F.1    Jackson, K.R.2
  • 3
    • 0000977352 scopus 로고
    • Hybrid Krylov methods for nonlinear systems of equations
    • P. N. Brown and Y. Saad, Hybrid Krylov methods for nonlinear systems of equations, SIAM J. Sci. Stat. Comput. 11, 450 (1990).
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 450
    • Brown, P.N.1    Saad, Y.2
  • 5
    • 0000109908 scopus 로고    scopus 로고
    • Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
    • V. A. Mousseau, D. A. Knoll, and W. J. Rider, Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion, J. Comput. Phys. 160, 743 (2000).
    • (2000) J. Comput. Phys. , vol.160 , pp. 743
    • Mousseau, V.A.1    Knoll, D.A.2    Rider, W.J.3
  • 6
    • 49049143188 scopus 로고
    • High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
    • U. Ghia, K. N. Ghia, and C. T. Shin, High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method, J. Comput. Phys. 48, (1982).
    • (1982) J. Comput. Phys. , vol.48
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3
  • 7
    • 0020752609 scopus 로고
    • Natural convection of air in a square cavity: A benchmark numerical solution
    • G. De Vahl Davis, Natural convection of air in a square cavity: A benchmark numerical solution, Int. J. Num. Methods Fluids 3, (1983).
    • (1983) Int. J. Num. Methods Fluids , vol.3
    • De Vahl Davis, G.1
  • 8
    • 0003309637 scopus 로고    scopus 로고
    • A hybrid multigrid method for the steady-state incompressible Navier-Stokes equations
    • M. Pernice, A hybrid multigrid method for the steady-state incompressible Navier-Stokes equations, Elec. Trans. Num. Anal. 10, 74 (2000).
    • (2000) Elec. Trans. Num. Anal. , vol.10 , pp. 74
    • Pernice, M.1
  • 10
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving non-symetric linear systems
    • Y. Saad and M. H. Schultz, GMRES: A generalized minimal residual algorithm for solving non-symetric linear systems, SIAM J. Sci. Stat. Comput. 7, (1986).
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7
    • Saad, Y.1    Schultz, M.H.2
  • 11
    • 0018480361 scopus 로고
    • A stable and accurate convective modelling procedure based on quadratic upstream interpolation
    • B. P. Leonard, A stable and accurate convective modelling procedure based on quadratic upstream interpolation, Comput. Methods Appl. Mech. Eng. 19, 59 (1979).
    • (1979) Comput. Methods Appl. Mech. Eng. , vol.19 , pp. 59
    • Leonard, B.P.1
  • 12
    • 0001548966 scopus 로고    scopus 로고
    • An improved convection scheme applied to recombining divertor plasma flows
    • D. A. Knoll, An improved convection scheme applied to recombining divertor plasma flows, J. Comput. Phys. 142, 473 (1998).
    • (1998) J. Comput. Phys. , vol.142 , pp. 473
    • Knoll, D.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.