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Volumn 109, Issue 1, 2000, Pages 11-30

Preconditioned iterative methods and finite difference schemes for convection-diffusion

Author keywords

Convection diffusion equation; Finite difference discretization; Iterative methods; Preconditioning techniques

Indexed keywords


EID: 85041102747     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00013-2     Document Type: Article
Times cited : (47)

References (25)
  • 1
  • 2
    • 0000221506 scopus 로고
    • Accelerated multigrid convergence and high-Reynolds recirculating flows
    • A. Brandt, I. Yavneh, Accelerated multigrid convergence and high-Reynolds recirculating flows, SIAM J. Sci. Comput. 14 (1993) 607-626.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 607-626
    • Brandt, A.1    Yavneh, I.2
  • 3
    • 0024899702 scopus 로고
    • Multigrid solution and grid redistribution for convection-diffusion
    • G.F. Carey, A. Pardhanani, Multigrid solution and grid redistribution for convection-diffusion, Int. J. Numer. Meth. Eng. 27 (1989) 655-664.
    • (1989) Int. J. Numer. Meth. Eng. , vol.27 , pp. 655-664
    • Carey, G.F.1    Pardhanani, A.2
  • 4
    • 0003956446 scopus 로고    scopus 로고
    • High-order ILU preconditioners for CFD problems
    • Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN
    • A. Chapman, Y. Saad, L. Wigton, High-order ILU preconditioners for CFD problems, Technical Report UMSI 96/14, Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN, 1996.
    • (1996) Technical Report UMSI 96/14
    • Chapman, A.1    Saad, Y.2    Wigton, L.3
  • 5
    • 0000256195 scopus 로고
    • Towards a cost effective ILU preconditioner with high level fill
    • E.F. D'Azevedo, F.A. Forsyth, W.P. Tang, Towards a cost effective ILU preconditioner with high level fill, BIT 31 (1992) 442-463.
    • (1992) BIT , vol.31 , pp. 442-463
    • D'Azevedo, E.F.1    Forsyth, F.A.2    Tang, W.P.3
  • 6
    • 0000350663 scopus 로고
    • High accuracy solutions of incompressible Navier-Stokes equations
    • M.M. Gupta, High accuracy solutions of incompressible Navier-Stokes equations, J. Comput. Phys. 93 (1991) 343-359.
    • (1991) J. Comput. Phys. , vol.93 , pp. 343-359
    • Gupta, M.M.1
  • 7
    • 0000144206 scopus 로고    scopus 로고
    • A compact multigrid solver for convection-diffusion equations
    • M.M. Gupta, J. Kouatchou, J. Zhang, A compact multigrid solver for convection-diffusion equations, J. Comput. Phys. 132 (1997) 123-129.
    • (1997) J. Comput. Phys. , vol.132 , pp. 123-129
    • Gupta, M.M.1    Kouatchou, J.2    Zhang, J.3
  • 8
    • 0021207821 scopus 로고
    • A single cell high order scheme for the convection-diffusion equation with variable coefficients
    • M.M. Gupta, R.P. Manohar, J.W. Stephenson, A single cell high order scheme for the convection-diffusion equation with variable coefficients, Int. J. Numer. Meth. Fluids 4 (1984) 641-651.
    • (1984) Int. J. Numer. Meth. Fluids , vol.4 , pp. 641-651
    • Gupta, M.M.1    Manohar, R.P.2    Stephenson, J.W.3
  • 10
    • 0029106259 scopus 로고
    • A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations
    • M. Li, T. Tang, B. Fornberg, A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations, Int. J. Numer. Meth. Fluids 20 (1995) 1137-1151.
    • (1995) Int. J. Numer. Meth. Fluids , vol.20 , pp. 1137-1151
    • Li, M.1    Tang, T.2    Fornberg, B.3
  • 11
    • 0026223011 scopus 로고
    • Differential-equation-based representation of truncation errors for accurate numerical simulation
    • R.J. MacKinnon, R.W. Johnson, Differential-equation-based representation of truncation errors for accurate numerical simulation, Int. J. Numer. Meth. Fluids 13 (1991) 739-757.
    • (1991) Int. J. Numer. Meth. Fluids , vol.13 , pp. 739-757
    • MacKinnon, R.J.1    Johnson, R.W.2
  • 13
    • 0009601949 scopus 로고    scopus 로고
    • A stable multigrid strategy for convection-diffusion using high order compact discretization
    • A.L. Pardhanani, W.F. Spotz, G.F. Carey, A stable multigrid strategy for convection-diffusion using high order compact discretization, Electron. Trans. Numer. Anal. 6 (1997) 211-223.
    • (1997) Electron. Trans. Numer. Anal. , vol.6 , pp. 211-223
    • Pardhanani, A.L.1    Spotz, W.F.2    Carey, G.F.3
  • 14
    • 0001326593 scopus 로고
    • Efficient solution of finite difference and finite element equations
    • D.J. Paddon, H. Holstein (Eds.), Clarendon Press, Oxford
    • J.W. Ruge, K. Stüben, Efficient solution of finite difference and finite element equations, in: D.J. Paddon, H. Holstein (Eds.), Multigrid Methods for Integral and Differential Equations, Clarendon Press, Oxford, 1985, pp. 169-212.
    • (1985) Multigrid Methods for Integral and Differential Equations , pp. 169-212
    • Ruge, J.W.1    Stüben, K.2
  • 15
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • Y. Saad, A flexible inner-outer preconditioned GMRES algorithm, SIAM J. Sci. Stat. Comput. 14 (2) (1993) 461-469.
    • (1993) SIAM J. Sci. Stat. Comput. , vol.14 , Issue.2 , pp. 461-469
    • Saad, Y.1
  • 16
    • 84985408358 scopus 로고
    • ILUT: A dual threshold incomplete ILU preconditioner
    • Y. Saad, ILUT: a dual threshold incomplete ILU preconditioner, Numer. Linear Algebra Appl. 1 (4) (1994) 387-402.
    • (1994) Numer. Linear Algebra Appl. , vol.1 , Issue.4 , pp. 387-402
    • Saad, Y.1
  • 17
    • 85031567460 scopus 로고    scopus 로고
    • BILUM: Block versions of multi-elimination and multi-level ILU preconditioner for general sparse linear systems
    • to appear
    • Y. Saad, J. Zhang, BILUM: block versions of multi-elimination and multi-level ILU preconditioner for general sparse linear systems, SIAM J. Sci. Comput., to appear.
    • SIAM J. Sci. Comput.
    • Saad, Y.1    Zhang, J.2
  • 18
    • 0001688935 scopus 로고
    • Aspects of numerical methods for elliptic singular perturbation problems
    • A. Segal, Aspects of numerical methods for elliptic singular perturbation problems, SIAM J. Sci. Stat. Comput. 3 (1982) 327-349.
    • (1982) SIAM J. Sci. Stat. Comput. , vol.3 , pp. 327-349
    • Segal, A.1
  • 21
    • 0002545262 scopus 로고    scopus 로고
    • Accelerated high accuracy multigrid solution of the convection-diffusion equation with high Reynolds number
    • J. Zhang, Accelerated high accuracy multigrid solution of the convection-diffusion equation with high Reynolds number, Numer. Meth. Partial Differential Equation 77 (1) (1997) 73-89.
    • (1997) Numer. Meth. Partial Differential Equation , vol.77 , Issue.1 , pp. 73-89
    • Zhang, J.1
  • 23
    • 0001855416 scopus 로고    scopus 로고
    • On convergence of iterative methods with a fourth-order compact scheme
    • J. Zhang, On convergence of iterative methods with a fourth-order compact scheme, Appl. Math. Lett. 10 (2) (1997) 49-55.
    • (1997) Appl. Math. Lett. , vol.10 , Issue.2 , pp. 49-55
    • Zhang, J.1
  • 24
    • 0001344174 scopus 로고    scopus 로고
    • On convergence and performance of iterative methods with fourth-order compact schemes
    • J. Zhang, On convergence and performance of iterative methods with fourth-order compact schemes, Numer. Meth. Partial Differential Equation 14 (1998) 262-283.
    • (1998) Numer. Meth. Partial Differential Equation , vol.14 , pp. 262-283
    • Zhang, J.1
  • 25
    • 0013395520 scopus 로고    scopus 로고
    • Residual scaling techniques in multigrid, II: Practical applications
    • J. Zhang, Residual scaling techniques in multigrid, II: practical applications, Appl. Math. Comput. 90 (2-3) (1998) 229-252.
    • (1998) Appl. Math. Comput. , vol.90 , Issue.2-3 , pp. 229-252
    • Zhang, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.