메뉴 건너뛰기




Volumn 98, Issue 2, 2004, Pages 305-327

Erratum: Uniform preconditioners for the time dependent Stokes problem (Numerische Mathematik (2004) DOI: 10.1007/s00211-004-0529-6);Uniform preconditioners for the time dependent Stokes problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 4544257958     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-005-0663-9     Document Type: Erratum
Times cited : (53)

References (35)
  • 1
    • 51249186403 scopus 로고
    • A stable finite element method for the Stokes equations
    • Arnold, D.N., Brezzi, F., Fortin, M.: A stable finite element method for the Stokes equations. CALCOLO 21, 337-344 (1984)
    • (1984) CALCOLO , vol.21 , pp. 337-344
    • Arnold, D.N.1    Brezzi, F.2    Fortin, M.3
  • 3
    • 0003385001 scopus 로고
    • Error estimates for finite element method solution of the Stokes problem in primitive variables
    • Bercovier, M., Pironneau, O.: Error estimates for finite element method solution of the Stokes problem in primitive variables. Numer. Math. 33, 211-224 (1979)
    • (1979) Numer. Math. , vol.33 , pp. 211-224
    • Bercovier, M.1    Pironneau, O.2
  • 5
    • 0040108456 scopus 로고
    • A multigrid method for a parameter dependent problem in solid mechanics
    • Braess, D., Blömer, C.: A multigrid method for a parameter dependent problem in solid mechanics. Numer. Math 57, 747-761 (1990)
    • (1990) Numer. Math , vol.57 , pp. 747-761
    • Braess, D.1    Blömer, C.2
  • 6
    • 0030783493 scopus 로고    scopus 로고
    • Iterative techniques for time dependent Stokes problem
    • Bramble, J.H., Pasciak, J.E.: Iterative techniques for time dependent Stokes problem. Comput. Math. Appl. 33, 13-30 (1997)
    • (1997) Comput. Math. Appl. , vol.33 , pp. 13-30
    • Bramble, J.H.1    Pasciak, J.E.2
  • 7
    • 0030526819 scopus 로고    scopus 로고
    • Multigrid methods for parameter dependent problems
    • 2AN 30(3), 265-297 (1996)
    • (1996) 2AN , vol.30 , Issue.3 , pp. 265-297
    • Brenner, S.C.1
  • 8
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers
    • Brezzi, F.: On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. RAIRO Anal. Numér. 8, 129-151 (1974)
    • (1974) RAIRO Anal. Numér. , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 10
    • 0024249068 scopus 로고
    • Some fast 3D finite element solvers for the generalized Stokes problem
    • Cahouet, J., Chabard, J.P.: Some fast 3D finite element solvers for the generalized Stokes problem. Int. J. Numer. Meth. Fluids 8, 869-895 (1988)
    • (1988) Int. J. Numer. Meth. Fluids , vol.8 , pp. 869-895
    • Cahouet, J.1    Chabard, J.P.2
  • 11
    • 0015762231 scopus 로고
    • Conforming and non-conforming finite element methods for solving the stationary Stokes equations
    • Crouzeix, M., Raviart, P.A.: Conforming and non-conforming finite element methods for solving the stationary Stokes equations. RAIRO Anal. Numér. 7, 33-76 (1973)
    • (1973) RAIRO Anal. Numér. , vol.7 , pp. 33-76
    • Crouzeix, M.1    Raviart, P.A.2
  • 12
    • 0002371470 scopus 로고
    • On some finite element methods for the numerical simulation of incompressible viscous flow
    • M. D. Gunzburger and R. A. Nicolaides, (eds.), Cambridge University Press
    • Dean, E.J., Glowinski, R.: On Some Finite Element Methods for the Numerical Simulation of Incompressible Viscous Flow. In Proceedings: Incompressible computational fluid dynamics; Trends and advances, M. D. Gunzburger and R. A. Nicolaides, (eds.), Cambridge University Press, 1993
    • (1993) Proceedings: Incompressible Computational Fluid Dynamics; Trends and Advances
    • Dean, E.J.1    Glowinski, R.2
  • 13
    • 0036776693 scopus 로고    scopus 로고
    • Preconditioners for saddle point problems arising in computational fluid dynamics
    • Elman, H.C.: Preconditioners for saddle point problems arising in computational fluid dynamics. Appl. Numer. Math. 43, 75-89 (2002)
    • (2002) Appl. Numer. Math. , vol.43 , pp. 75-89
    • Elman, H.C.1
  • 14
    • 0037201253 scopus 로고    scopus 로고
    • Block preconditioners for the discrete incompressible Navier-Stokes equations
    • Elman, H.C., Silvester, D.J., Wathen, A.J.: Block preconditioners for the discrete incompressible Navier-Stokes equations. Int. J. Numer. Meth. Fluids 40, 333-344 (2002)
    • (2002) Int. J. Numer. Meth. Fluids , vol.40 , pp. 333-344
    • Elman, H.C.1    Silvester, D.J.2    Wathen, A.J.3
  • 17
    • 0034387849 scopus 로고    scopus 로고
    • A domain embedding preconditioner for the Lagrange multiplier system
    • Haug, E., Winther, R.: A domain embedding preconditioner for the Lagrange multiplier system. Math. Comp. 69, 65-82 (1999)
    • (1999) Math. Comp. , vol.69 , pp. 65-82
    • Haug, E.1    Winther, R.2
  • 18
    • 11744343493 scopus 로고    scopus 로고
    • An optimal preconditioner for a class of saddle point problems with a penalty term
    • Klawonn, A.: An optimal preconditioner for a class of saddle point problems with a penalty term. SIAM J. Sci. Comput. 19, 540-552 (1998)
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 540-552
    • Klawonn, A.1
  • 19
    • 0037201228 scopus 로고    scopus 로고
    • Schur complement preconditioners for the Navier-Stokes equations
    • Loghin, D., Wathen, A.J.: Schur complement preconditioners for the Navier-Stokes equations. Int. J. Numer. Meth. Fluids 40, 403-412 (2002)
    • (2002) Int. J. Numer. Meth. Fluids , vol.40 , pp. 403-412
    • Loghin, D.1    Wathen, A.J.2
  • 20
    • 0000515085 scopus 로고
    • Analysis of iterative methods for the steady and unsteady Stokes problem: Application to spectral element discretizations
    • Mayday, Y., Meiron, D., Patera, A., Ronquist, E.: Analysis of iterative methods for the steady and unsteady Stokes problem: application to spectral element discretizations. SIAM J. Sci. Comput. 14, 310-337 (1993)
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 310-337
    • Mayday, Y.1    Meiron, D.2    Patera, A.3    Ronquist, E.4
  • 21
    • 0344896697 scopus 로고    scopus 로고
    • A robust finite element method for Darcy-Stokes flow
    • Mardal, K.A., Tai, X.-C., Winther, R.: A robust finite element method for Darcy-Stokes flow. SIAM J. Numer. Anal. 40, 1605-1631 (2002)
    • (2002) SIAM J. Numer. Anal. , vol.40 , pp. 1605-1631
    • Mardal, K.A.1    Tai, X.-C.2    Winther, R.3
  • 23
    • 0036982737 scopus 로고    scopus 로고
    • Navier-Stokes equations in rotation form: A robust multigrid solver for the velocity problem
    • Olshanskii, M.A., Reusken, A.: Navier-Stokes equations in rotation form: A robust multigrid solver for the velocity problem. SIAM J. Sci. Comp. 23, 1683-1706 (2002)
    • (2002) SIAM J. Sci. Comp. , vol.23 , pp. 1683-1706
    • Olshanskii, M.A.1    Reusken, A.2
  • 24
    • 0016555955 scopus 로고
    • Solution of sparse indefinite systems of linear equations
    • Paige, C.C., Sauders, M.A.: Solution of sparse indefinite systems of linear equations. SIAM J. Numer. Anal. 12, 617-629 (1975)
    • (1975) SIAM J. Numer. Anal. , vol.12 , pp. 617-629
    • Paige, C.C.1    Sauders, M.A.2
  • 25
    • 0033923331 scopus 로고    scopus 로고
    • Indefinite overlapping Schwarz methods for time-dependent Stokes problems
    • Pavarino, L.F.: Indefinite overlapping Schwarz methods for time-dependent Stokes problems. Comput. Meth. Appl. Mech. Eng. 187, 35-51 (2000)
    • (2000) Comput. Meth. Appl. Mech. Eng. , vol.187 , pp. 35-51
    • Pavarino, L.F.1
  • 27
    • 0030300414 scopus 로고    scopus 로고
    • Interior penalty preconditioners for mixed finite element approximations of elliptic problems
    • Rusten, T., Vassilevski, P.S., Winther, R.: Interior penalty preconditioners for mixed finite element approximations of elliptic problems. Math. Comp. 65, 447-466 (1996)
    • (1996) Math. Comp. , vol.65 , pp. 447-466
    • Rusten, T.1    Vassilevski, P.S.2    Winther, R.3
  • 28
    • 0001464667 scopus 로고
    • A preconditioned iterative method for saddle point problems
    • Rusten, T., Winther, R.: A preconditioned iterative method for saddle point problems. SIAM J. Matrix Anal. 13, 887-904 (1992)
    • (1992) SIAM J. Matrix Anal. , vol.13 , pp. 887-904
    • Rusten, T.1    Winther, R.2
  • 29
    • 0028517184 scopus 로고
    • Fast iterative solution of stabilized Stokes systems. Part II: Using block diagonal preconditioners
    • Silvester, D., Wathen, A.: Fast iterative solution of stabilized Stokes systems. Part II: Using block diagonal preconditioners. SIAM J. Numer. Anal. 31, 1352-1367 (1994)
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1352-1367
    • Silvester, D.1    Wathen, A.2
  • 30
    • 84966256275 scopus 로고
    • Error analysis of some finite element methods for the Stokes problem
    • Stenberg, R.: Error analysis of some finite element methods for the Stokes problem, Math. Comp. 54, 495-508 (1990)
    • (1990) Math. Comp. , vol.54 , pp. 495-508
    • Stenberg, R.1
  • 32
    • 0002682177 scopus 로고
    • Error estimates for a mixed finite element approximation of the Stokes equation
    • Verfürth, R.: Error estimates for a mixed finite element approximation of the Stokes equation. R.A.I.R.O. Anal. Numer. 18, 175-182 (1984)
    • (1984) R.A.I.R.O. Anal. Numer. , vol.18 , pp. 175-182
    • Verfürth, R.1
  • 33
    • 0021418230 scopus 로고
    • A multilevel algorithm for mixed problems
    • Verfürth, R.: A multilevel algorithm for mixed problems. SIAM J. Numer. Anal 21, 264-271 (1984)
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 264-271
    • Verfürth, R.1
  • 34
    • 0001584397 scopus 로고
    • Multigrid methods for Stokes and Navier-Stokes equations
    • Wittum, G.: Multigrid methods for Stokes and Navier-Stokes equations. Numer. Math. 54, 543-564 (1989)
    • (1989) Numer. Math. , vol.54 , pp. 543-564
    • Wittum, G.1
  • 35
    • 0030398920 scopus 로고    scopus 로고
    • The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids
    • Xu, J.: The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids. Computing 56, 215-235 (1996)
    • (1996) Computing , vol.56 , pp. 215-235
    • Xu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.