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Volumn 19, Issue 1, 1998, Pages 206-226

An efficient iterative method for the generalized Stokes problem

Author keywords

Iterative methods; Mixed finite elements; Preconditioning; Saddle point; Stokes problem

Indexed keywords


EID: 0000803918     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S106482759630365X     Document Type: Article
Times cited : (54)

References (21)
  • 2
    • 0000779223 scopus 로고
    • Algebraic multilevel preconditioning methods 1
    • O. AXELSSON and P. VASSILEVSKI, Algebraic multilevel preconditioning methods 1, Numer. Math., 56 (1989), pp. 157-177.
    • (1989) Numer. Math. , vol.56 , pp. 157-177
    • Axelsson, O.1    Vassilevski, P.2
  • 3
    • 0001573921 scopus 로고
    • Algebraic multilevel preconditioning methods 2
    • O. AXELSSON AND P. VASSILEVSKI, Algebraic multilevel preconditioning methods 2, SIAM J. Numer. Anal., 27 (1990), pp. 1569-1590.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 1569-1590
    • Axelsson, O.1    Vassilevski, P.2
  • 4
    • 34249955392 scopus 로고
    • A class of iterative methods for solving saddle point problems
    • R.E. BANK, B.D. WELFERT, AND H. YSERENTANT, A class of iterative methods for solving saddle point problems, Numer. Math., 56 (1990), pp. 645-666.
    • (1990) Numer. Math. , vol.56 , pp. 645-666
    • Bank, R.E.1    Welfert, B.D.2    Yserentant, H.3
  • 7
    • 0003881705 scopus 로고
    • Mixed and Hybrid Finite Element Methods
    • Springer-Verlag, Berlin, New York
    • F. BREZZI AND M. FORTIN, Mixed and Hybrid Finite Element Methods, Springer Ser. Comput. Math., Springer-Verlag, Berlin, New York, 1991.
    • (1991) Springer Ser. Comput. Math.
    • Brezzi, F.1    Fortin, M.2
  • 8
    • 0024249068 scopus 로고
    • Some fast 3d finite element solvers for the generalized Stokes problem
    • J. CAHOUET AND J.-P. CHABARD, Some fast 3d finite element solvers for the generalized Stokes problem, Internat. J. Numer. Methods Fluids, 8 (1988), pp. 869-895.
    • (1988) Internat. J. Numer. Methods Fluids , vol.8 , pp. 869-895
    • Cahouet, J.1    Chabard, J.-P.2
  • 9
    • 84966216063 scopus 로고
    • The numerical solution of equality-constrained quadratic programming problems
    • N. DYN AND W.E. FERGUSON, JR., The numerical solution of equality-constrained quadratic programming problems, Math. Comp., 41 (1983), pp. 165-170.
    • (1983) Math. Comp. , vol.41 , pp. 165-170
    • Dyn, N.1    Ferguson Jr., W.E.2
  • 13
    • 0001703903 scopus 로고
    • Divergence-free bases for finite element schemes in hydrodynamics
    • K. GUSTAFSON AND R. HARTMAN, Divergence-free bases for finite element schemes in hydrodynamics, SIAM J. Numer. Anal., 20 (1983), pp. 697-721.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 697-721
    • Gustafson, K.1    Hartman, R.2
  • 14
  • 15
    • 0003456481 scopus 로고
    • Computational Methods for Fluid Flows
    • Springer-Verlag, Berlin, New York
    • R. PEYRET AND T. TAYLOR, Computational Methods for Fluid Flows, Springer Ser. Comput. Phys., Springer-Verlag, Berlin, New York, 1983.
    • (1983) Springer Ser. Comput. Phys.
    • Peyret, R.1    Taylor, T.2
  • 16
    • 0001464667 scopus 로고
    • A preconditioned iterative method for saddle-point problems
    • T. RUSTEN AND R. WINTHER, A preconditioned iterative method for saddle-point problems, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 887-904.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 887-904
    • Rusten, T.1    Winther, R.2
  • 17
    • 0009148594 scopus 로고
    • A trace minimization algorithm for the generalized eigenvalue problem
    • A. SAMEH AND J. A. WISNIEWSKI, A trace minimization algorithm for the generalized eigenvalue problem, SIAM J. Numer. Anal., 19 (1982), pp. 1243-1259.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 1243-1259
    • Sameh, A.1    Wisniewski, J.A.2
  • 18
    • 0028517184 scopus 로고
    • Fast iterative solution of stabilised Stokes systems part II: Using general block preconditioners
    • D. SILVESTER AND A. WATHEN, Fast iterative solution of stabilised Stokes systems part II: Using general block preconditioners, SIAM J. Numer. Anal., 31 (1994), pp. 1352-1367.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1352-1367
    • Silvester, D.1    Wathen, A.2
  • 19
    • 0021211404 scopus 로고
    • A combined conjugate gradient-multigrid algorithm for the numerical solution of the Stokes problem
    • R. VERFURTH, A combined conjugate gradient-multigrid algorithm for the numerical solution of the Stokes problem, IMA J. Numer. Anal., 4 (1984), pp. 441-455.
    • (1984) IMA J. Numer. Anal. , vol.4 , pp. 441-455
    • Verfurth, R.1
  • 20
    • 0027606774 scopus 로고
    • Fast iterative solution of stabilised Stokes systems part 1: Using simple diagonal preconditioners
    • A. WATHEN AND D. SILVESTER, Fast iterative solution of stabilised Stokes systems part 1: Using simple diagonal preconditioners, SIAM J. Numer. Anal., 30 (1993), pp. 630-649.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 630-649
    • Wathen, A.1    Silvester, D.2
  • 21
    • 34250126304 scopus 로고
    • On the multi-level splitting of finite element spaces
    • H. YSERENTANT, On the multi-level splitting of finite element spaces, Numer. Math., 49 (1986), pp. 379-412.
    • (1986) Numer. Math. , vol.49 , pp. 379-412
    • Yserentant, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.