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Volumn 25, Issue 1, 2005, Pages 213-230

Jacobian-free Newton-Krylov methods for the accurate time integration of stiff wave systems

Author keywords

Newton Krylov; Physics based preconditioning

Indexed keywords

ALGORITHMS; FLUID DYNAMICS; GEOPHYSICS; LINEARIZATION; MAGNETOHYDRODYNAMICS; NEWTONIAN FLOW;

EID: 28844432971     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-004-4640-8     Document Type: Conference Paper
Times cited : (38)

References (31)
  • 3
    • 0347579851 scopus 로고
    • An implicit, almost-Lagrangian algorithm for magnetohydrodynamics
    • Brackbill, J. U.,and Pracht, W. E. (1973). An implicit, almost-Lagrangian algorithm for magnetohydrodynamics. J. Comput. Phys. 13, 455-482.
    • (1973) J. Comput. Phys. , vol.13 , pp. 455-482
    • Brackbill, J.U.1    Pracht, W.E.2
  • 4
    • 0000977352 scopus 로고
    • Hybrid Krylov methods for nonlinear systems of equations
    • Brown, P. N., and Saad, Y. (1990). Hybrid Krylov methods for nonlinear systems of equations. SIAM J. Sci. Stat. Comput. 11, 450-481.
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 450-481
    • Brown, P.N.1    Saad, Y.2
  • 5
    • 0009022528 scopus 로고
    • Derivation of implicit difference schemes by the method of differential approximations
    • Caramana, E. J. (1991). Derivation of implicit difference schemes by the method of differential approximations. J. Comput. Phys. 96, 484-493.
    • (1991) J. Comput. Phys. , vol.96 , pp. 484-493
    • Caramana, E.J.1
  • 6
    • 0037670449 scopus 로고    scopus 로고
    • A 2D high-β Hall MHD implicit nonlinear solver
    • Chacón, L. and Knoll, D. A. (2003). A 2D high-β Hall MHD implicit nonlinear solver. J. Comput. Phys. 188, 573-592.
    • (2003) J. Comput. Phys. , vol.188 , pp. 573-592
    • Chacón, L.1    Knoll, D.A.2
  • 7
    • 0036570561 scopus 로고    scopus 로고
    • An implicit nonlinear reduced resistive MHD solver
    • Chacón, L., Knoll, D. A., and Finn, J. M. (2002). An implicit nonlinear reduced resistive MHD solver. J. Comput. Phys. 178, 15-36.
    • (2002) J. Comput. Phys. , vol.178 , pp. 15-36
    • Chacón, L.1    Knoll, D.A.2    Finn, J.M.3
  • 8
    • 0037463599 scopus 로고    scopus 로고
    • Hall MHD effects in the 2-D Kelvin-Helmholtz/tearing instability
    • Chacón, L., Knoll, D. A., and Finn, J. M. (2003). Hall MHD effects in the 2-D Kelvin-Helmholtz/tearing instability. Phys. Lett. A, 308, 187-197.
    • (2003) Phys. Lett. A , vol.308 , pp. 187-197
    • Chacón, L.1    Knoll, D.A.2    Finn, J.M.3
  • 9
    • 0001651643 scopus 로고
    • Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms
    • Chan, T. F., and Jackson, K. R. (1984). Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms. SIAM J. Sci. Stat. Comput. 5:533-542.
    • (1984) SIAM J. Sci. Stat. Comput. , vol.5 , pp. 533-542
    • Chan, T.F.1    Jackson, K.R.2
  • 10
    • 0031544312 scopus 로고    scopus 로고
    • A parallel, implicit, cell centered method for two-phase flow with a preconditioned Newton-Krylov solver
    • Dawson, C.N., Klie, H., Wheeler, M.F., and Woodward, C.S. (1997). A parallel, implicit, cell centered method for two-phase flow with a preconditioned Newton-Krylov solver. Comp. Geosciences, 1, 215-249.
    • (1997) Comp. Geosciences , vol.1 , pp. 215-249
    • Dawson, C.N.1    Klie, H.2    Wheeler, M.F.3    Woodward, C.S.4
  • 11
    • 0000746005 scopus 로고
    • Inexact Newton methods
    • Dembo, R. et al. (1982). Inexact Newton methods. SIAM J. Numer. Anal. 19, 400-408.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 400-408
    • Dembo, R.1
  • 12
    • 0003176174 scopus 로고    scopus 로고
    • Choosing the forcing terms in an inexact Newton method
    • Eisenstat, S. C., and Walker, H. F. (1996). Choosing the forcing terms in an inexact Newton method. SIAM J. Sci. Comput. 17, 16-32.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 16-32
    • Eisenstat, S.C.1    Walker, H.F.2
  • 13
    • 49649156119 scopus 로고
    • A numerical fluid dynamical calculation method for all flow speeds
    • Harlow, F. H., and Amsden, A. A. (1971). A numerical fluid dynamical calculation method for all flow speeds. J. Comput. Phys. 8, 197-214.
    • (1971) J. Comput. Phys. , vol.8 , pp. 197-214
    • Harlow, F.H.1    Amsden, A.A.2
  • 14
    • 0002861019 scopus 로고
    • Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulation
    • Harned, D. S., and Kerner, W. (1985). Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulation. J. Comput. Phys. 60, 62-75.
    • (1985) J. Comput. Phys. , vol.60 , pp. 62-75
    • Harned, D.S.1    Kerner, W.2
  • 15
    • 0001927168 scopus 로고
    • Accurate semi-implicit treatment of the Hall effect in magnetohydrodynamics
    • Harned, D. S. and Mikic, Z. (1989). Accurate semi-implicit treatment of the Hall effect in magnetohydrodynamics. J. Comput. Phys. 83, 1-15.
    • (1989) J. Comput. Phys. , vol.83 , pp. 1-15
    • Harned, D.S.1    Mikic, Z.2
  • 19
    • 34249923111 scopus 로고
    • On acceleration methods for coupled nonlinear elliptic systems
    • Kerkhoven, T., and Saad, Y. (1992). On acceleration methods for coupled nonlinear elliptic systems. Numer. Math. 60, 525-548.
    • (1992) Numer. Math. , vol.60 , pp. 525-548
    • Kerkhoven, T.1    Saad, Y.2
  • 20
    • 4043147708 scopus 로고    scopus 로고
    • Magnetic reconnection in the two-dimensional Kelvin-Helmholtz instability
    • 215003
    • Knoll, D. A., and Chacón, L. (2002). Magnetic reconnection in the two-dimensional Kelvin-Helmholtz instability. Phys. Rev. Lett. 88, (215003).
    • (2002) Phys. Rev. Lett. , vol.88
    • Knoll, D.A.1    Chacón, L.2
  • 21
    • 0037336326 scopus 로고    scopus 로고
    • On balanced approximations for the time integration of multiple time scale systems
    • Knoll, D. A., Chacón, L., Margolin, L. G. and Mousseau, V. A. (2003). On balanced approximations for the time integration of multiple time scale systems. J. Comput. Phys. 185, 583-611.
    • (2003) J. Comput. Phys. , vol.185 , pp. 583-611
    • Knoll, D.A.1    Chacón, L.2    Margolin, L.G.3    Mousseau, V.A.4
  • 22
    • 0348198275 scopus 로고    scopus 로고
    • Jacobian-free Newton-Krylov methods: A survey of approaches and applications
    • Knoll, D. A., and Keyes, D. E. (2003). Jacobian-Free Newton-Krylov methods: A survey of approaches and applications. J. Comput. Phys. 193, 357-397.
    • (2003) J. Comput. Phys. , vol.193 , pp. 357-397
    • Knoll, D.A.1    Keyes, D.E.2
  • 23
    • 0036226530 scopus 로고    scopus 로고
    • On preconditioning Newton-Krylov methods in solidifying flow applications
    • Knoll, D. A., VanderHeyden, W B., Mousseau, V. A., and Kothe, D. B. (2002). On preconditioning Newton-Krylov methods in solidifying flow applications. SIAM J. Sci. Comput. 23, 381-397.
    • (2002) SIAM J. Sci. Comput. , vol.23 , pp. 381-397
    • Knoll, D.A.1    Vanderheyden, W.B.2    Mousseau, V.A.3    Kothe, D.B.4
  • 24
    • 0002406916 scopus 로고
    • Semi-implicit scheme for grid point atmospheric models of the primative equations
    • Kwizak, M., and Robert, A. J. (1971). Semi-implicit scheme for grid point atmospheric models of the primative equations. Mon. Wea. Rev. 99, 32-36.
    • (1971) Mon. Wea. Rev. , vol.99 , pp. 32-36
    • Kwizak, M.1    Robert, A.J.2
  • 25
    • 0000109908 scopus 로고    scopus 로고
    • Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
    • Mousseau, V A., Knoll, D. A. and Rider, W. J. (2000). Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion. J. Comput. Phys. 160, 743-765.
    • (2000) J. Comput. Phys. , vol.160 , pp. 743-765
    • Mousseau, V.A.1    Knoll, D.A.2    Rider, W.J.3
  • 26
    • 0036851843 scopus 로고    scopus 로고
    • An implicit nonlinearly consistent method for the two-dimensional shallow-water equations with Coriolis force
    • Mousseau, V.A., Knoll, D. A., and Reisner, J. (2002). An implicit nonlinearly consistent method for the two-dimensional shallow-water equations with Coriolis force. Mon. Wea. Rev. 130, 2611-2625.
    • (2002) Mon. Wea. Rev. , vol.130 , pp. 2611-2625
    • Mousseau, V.A.1    Knoll, D.A.2    Reisner, J.3
  • 27
    • 0036229223 scopus 로고    scopus 로고
    • A multigrid-preconditioned Newton-Krylov method for the incompressible Navier-stokes equations
    • M. Pernice, and Tocci, M.D. (2001). A multigrid-preconditioned Newton-Krylov method for the incompressible Navier-Stokes equations. SIAM J. Sci. Comput. 23, 398-418.
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 398-418
    • Pernice, M.1    Tocci, M.D.2
  • 28
    • 18544380366 scopus 로고    scopus 로고
    • An implicitly balanced hurricane model with physics-based preconditioning
    • Reisner, J., Mousseau, V.A., Wyszogrodzki, A. and Knoll, D. A. (2005). An implicitly balanced hurricane model with physics-based preconditioning. Mon. Wea. Rev. 133, 1003-1022.
    • (2005) Mon. Wea. Rev. , vol.133 , pp. 1003-1022
    • Reisner, J.1    Mousseau, V.A.2    Wyszogrodzki, A.3    Knoll, D.A.4
  • 29
    • 0033660222 scopus 로고    scopus 로고
    • Coupled atmospheric-fire modeling employing the method of averages
    • Reisner, J., Wynne, S., Margolin, L. and Linn, R. (2000). Coupled atmospheric-fire modeling employing the method of averages. Mon. Wea. Rev. 128, 3683-3691.
    • (2000) Mon. Wea. Rev. , vol.128 , pp. 3683-3691
    • Reisner, J.1    Wynne, S.2    Margolin, L.3    Linn, R.4
  • 30
    • 0038115253 scopus 로고    scopus 로고
    • An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows
    • Reisner, J., Wyszogrodzki, A., Mousseau, V.A., and Knoll, D. A. (2003). An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows. J. Comput. Phys. 189, 30-44.
    • (2003) J. Comput. Phys. , vol.189 , pp. 30-44
    • Reisner, J.1    Wyszogrodzki, A.2    Mousseau, V.A.3    Knoll, D.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.