메뉴 건너뛰기




Volumn 24, Issue 1, 2003, Pages 183-200

Nonlinearly preconditioned inexact Newton algorithms

Author keywords

Domain decomposition; Incompressible flows; Inexact Newton methods; Krylov subspace methods; Nonlinear additive Schwarz; Nonlinear equations; Nonlinear preconditioning; Parallel computing

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; INCOMPRESSIBLE FLOW; NONLINEAR EQUATIONS; PARALLEL PROCESSING SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; REYNOLDS NUMBER;

EID: 0037248934     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S106482750037620X     Document Type: Article
Times cited : (214)

References (29)
  • 2
    • 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. Statist. Comput., 11 (1990), pp. 450-481.
    • (1990) SIAM J. Sci. Statist. Comput. , vol.11 , pp. 450-481
    • Brown, P.N.1    Saad, Y.2
  • 3
    • 0000301196 scopus 로고
    • Convergence theory of nonlinear Newton-Krylov algorithms
    • P. N. Brown and Y. Saad, Convergence theory of nonlinear Newton-Krylov algorithms, SIAM J. Optim., 4 (1994), ppp. 297-330.
    • (1994) SIAM J. Optim. , vol.4 , pp. 297-330
    • Brown, P.N.1    Saad, Y.2
  • 4
    • 0003001824 scopus 로고
    • Domain decomposition methods for monotone nonlinear elliptic problems
    • X.-C. Cai and M. Dryja, Domain decomposition methods for monotone nonlinear elliptic problems, Contemp. Math., 180 (1994), pp. 21-27.
    • (1994) Contemp. Math. , vol.180 , pp. 21-27
    • Cai, X.-C.1    Dryja, M.2
  • 5
    • 0001513480 scopus 로고    scopus 로고
    • Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation
    • X.-C. Cai, W. D. Gropp, D. E. Keyes, R. G. Melvin, and D. P. Young, Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation, SIAM J. Comput., 19 (1998) pp. 246-265.
    • (1998) SIAM J. Comput. , vol.19 , pp. 246-265
    • Cai, X.-C.1    Gropp, W.D.2    Keyes, D.E.3    Melvin, R.G.4    Young, D.P.5
  • 7
    • 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. Statist. Comput., 5 (1984), pp. 533-542.
    • (1984) SIAM J. Sci. Statist. Comput. , vol.5 , pp. 533-542
    • Chan, T.F.1    Jackson, K.R.2
  • 10
    • 0345847793 scopus 로고    scopus 로고
    • On the nonlinear domain decomposition method
    • M. Dryja and W. Hackbusch, On the nonlinear domain decomposition method, BIT, 37 (1997), pp. 296-311.
    • (1997) BIT , vol.37 , pp. 296-311
    • Dryja, M.1    Hackbusch, W.2
  • 11
    • 0001159513 scopus 로고
    • Domain decomposition algorithms with small overlap
    • M. Dryja and O. B. Widlund, Domain decomposition algorithms with small overlap, SIAM J. Sci. Comput., 15 (1994), pp. 604-620.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 604-620
    • Dryja, M.1    Widlund, O.B.2
  • 12
    • 0001330894 scopus 로고
    • Globally convergent inexact Newton methods
    • S. C. Eisenstat and H. F. Walker, Globally convergent inexact Newton methods, SIAM J. Optim., 4 (1994), pp. 393-422.
    • (1994) SIAM J. Optim. , vol.4 , pp. 393-422
    • Eisenstat, S.C.1    Walker, H.F.2
  • 13
    • 0003176174 scopus 로고    scopus 로고
    • Choosing the forcing terms in an inexact Newton method
    • S. C. Eisenstat and H. F. Walker, Choosing the forcing terms in an inexact Newton method, SIAM J. Sci. Comput., 17, (1996), pp. 16-32.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 16-32
    • Eisenstat, S.C.1    Walker, H.F.2
  • 17
    • 0029360991 scopus 로고
    • Robust linear and nonlinear strategies for solution of the transonic Euler equations
    • H. Jiang and P. A. Forsyth, Robust linear and nonlinear strategies for solution of the transonic Euler equations, Comput. & Fluids, 24 (1995), pp. 753-770.
    • (1995) Comput. & Fluids , vol.24 , pp. 753-770
    • Jiang, H.1    Forsyth, P.A.2
  • 19
    • 0000111761 scopus 로고    scopus 로고
    • Convergence analysis of pseudo-transient continuation
    • C. T. Kelley and D. E. Keyes, Convergence analysis of pseudo-transient continuation, SIAM J. Numer. Anal., 35 (1998), pp. 508-523.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 508-523
    • Kelley, C.T.1    Keyes, D.E.2
  • 20
    • 0001617970 scopus 로고    scopus 로고
    • An analysis of approximate nonlinear elimination
    • P. J. Lanzkron, D. J. Rose, and J. T. Wilkes, An analysis of approximate nonlinear elimination, SIAM J. Sci. Comput., 17 (1996), pp. 538-559.
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 538-559
    • Lanzkron, P.J.1    Rose, D.J.2    Wilkes, J.T.3
  • 22
    • 0002043434 scopus 로고
    • On the Schwarz alternating method. II. Stochastic interpretation and other properties
    • T. Chan, R. Glowinski, J. Périaux, and O. Widlund, eds., SIAM, Philadelphia
    • P.-L. Lions, On the Schwarz alternating method. II. Stochastic interpretation and other properties, in Domain Decomposition Methods, T. Chan, R. Glowinski, J. Périaux, and O. Widlund, eds., SIAM, Philadelphia, 1989, pp. 47-70.
    • (1989) Domain Decomposition Methods , pp. 47-70
    • Lions, P.-L.1
  • 23
    • 0035683566 scopus 로고    scopus 로고
    • On Schwarz alternating methods for incompressible Navier-Stokes equations
    • S. H. Lui, On Schwarz alternating methods for incompressible Navier-Stokes equations, SIAM J. Sci. Comput., 22 (2001), pp. 1974-1986.
    • (2001) SIAM J. Sci. Comput. , vol.22 , pp. 1974-1986
    • Lui, S.H.1
  • 24
    • 84983168165 scopus 로고    scopus 로고
    • Multi-domain multimodel formulation for compressible flows: Conservative interface coupling and parallel implicit solvers for 3D unstructured meshes
    • AIAA Paper 99-0784, American Institute of Aeronautics and Astronautics, Reston, VA
    • M. Paraschivoiu, X.-C. Cai, M. Sarkis, D. P. Young, and D. Keyes, Multi-Domain Multimodel Formulation for Compressible Flows: Conservative Interface Coupling and Parallel Implicit Solvers for 3D Unstructured Meshes, AIAA Paper 99-0784, American Institute of Aeronautics and Astronautics, Reston, VA, 1999.
    • (1999)
    • Paraschivoiu, M.1    Cai, X.-C.2    Sarkis, M.3    Young, D.P.4    Keyes, D.5
  • 25
    • 0001374796 scopus 로고    scopus 로고
    • NITSOL: A Newton iterative solver for nonlinear systems
    • M. Pernice and H. F. Walker, NITSOL: A Newton iterative solver for nonlinear systems, SIAM J. Sci. Comput., 19 (1998), pp. 302-318.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 302-318
    • Pernice, M.1    Walker, H.F.2
  • 27
    • 0000986730 scopus 로고    scopus 로고
    • Rate of convergence of some space decomposition methods for linear and nonlinear problems
    • X.-C. Tai and M. Espedal, Rate of convergence of some space decomposition methods for linear and nonlinear problems, SIAM J. Numer. Anal., 35 (1998), pp. 1558-1570.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1558-1570
    • Tai, X.-C.1    Espedal, M.2
  • 29
    • 28144434062 scopus 로고
    • A locally refined rectangular grid finite element method: Application to computational fluid dynamics and computational physics
    • D. P. Young, R. G. Melvin, M. B. Bieterman, F. T. Johnson, S. S. Samant, and J. E. Bussoletti, A locally refined rectangular grid finite element method: Application to computational fluid dynamics and computational physics, J. Comput. Phys., 92 (1991), pp. 1-66.
    • (1991) J. Comput. Phys. , vol.92 , pp. 1-66
    • Young, D.P.1    Melvin, R.G.2    Bieterman, M.B.3    Johnson, F.T.4    Samant, S.S.5    Bussoletti, J.E.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.