메뉴 건너뛰기




Volumn 86, Issue 3, 2000, Pages 443-470

Effective preconditioning of Uzawa type schemes for a generalized stokes problem

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034372562     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110000160     Document Type: Article
Times cited : (39)

References (24)
  • 2
    • 0010922012 scopus 로고
    • Solution of the Stokes nonstationary problems by the fictitious domain method
    • Bakhvalov N.S. (1995): Solution of the Stokes nonstationary problems by the fictitious domain method. Russ. J. Numer. Anal. Math. Modelling 10, 163-172
    • (1995) Russ. J. Numer. Anal. Math. Modelling , vol.10 , pp. 163-172
    • Bakhvalov, N.S.1
  • 3
    • 84966214346 scopus 로고
    • A preconditioning technique for indefinite systems resulting from mixed approximation of elliptic problems
    • Bramble J.H., Pasciak J.E. (1988): A preconditioning technique for indefinite systems resulting from mixed approximation of elliptic problems Math. Comp. 50, 1-17
    • (1988) Math. Comp. , vol.50 , pp. 1-17
    • Bramble, J.H.1    Pasciak, J.E.2
  • 4
    • 0030783493 scopus 로고    scopus 로고
    • Iterative techniques for time-dependent Stokes problem
    • Bramble J.H., Pasciak J.E. (1997): Iterative techniques for time-dependent Stokes problem, Comput. Math. Appl. 33, 13-30
    • (1997) Comput. Math. Appl. , vol.33 , pp. 13-30
    • Bramble, J.H.1    Pasciak, J.E.2
  • 5
    • 0001341650 scopus 로고    scopus 로고
    • Analysis of the inexact Uzawa algorithm for saddle point problems
    • Bramble J.H., Pasciak J.E., Vassilev A.T. (1997): Analysis of the inexact Uzawa algorithm for saddle point problems, SIAM J. Numer. Anal. 33, 1072-1092
    • (1997) SIAM J. Numer. Anal. , vol.33 , pp. 1072-1092
    • Bramble, J.H.1    Pasciak, J.E.2    Vassilev, A.T.3
  • 6
    • 0024249068 scopus 로고
    • Some fast 3D finite element solvers for the generalized Stokes problem int
    • Cahouet J., Chabard J.P. (1988): Some fast 3D finite element solvers for the generalized Stokes problem Int. J. Numer. Methods Fluids. 8, 869-895
    • (1988) J. Numer. Methods Fluids. , vol.8 , pp. 869-895
    • Cahouet, J.1    Chabard, J.P.2
  • 7
    • 0002307515 scopus 로고
    • Stationary Stokes and Navier-Stokes systems on two-or three-dimensional domains with corners. Part I: Linearized equations
    • Dauge M. (1989): Stationary Stokes and Navier-Stokes systems on two-or three-dimensional domains with corners. Part I: Linearized Equations. SIAM J. Math. Anal. 20, 74-97
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 74-97
    • Dauge, M.1
  • 8
    • 0001566269 scopus 로고    scopus 로고
    • Multigrid and Krylov subspace methods for the discrete Stokes equations
    • Elman H. C. (1996): Multigrid and Krylov subspace methods for the discrete Stokes equations Int. J. Numer. Methods Fluids 22, 755-770
    • (1996) Int. J. Numer. Methods Fluids , vol.22 , pp. 755-770
    • Elman, H.C.1
  • 9
    • 0028741633 scopus 로고
    • Inexact and preconditioned Uzawa algorithms for saddle point problems
    • Elman H.C., Golub G.H. (1994): Inexact and preconditioned Uzawa algorithms for saddle point problems SIAM J. Numer. Anal. 31, 1645-1661
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1645-1661
    • Elman, H.C.1    Golub, G.H.2
  • 10
    • 0033279287 scopus 로고    scopus 로고
    • Preconditioning for the steady-state Navier-Stokes equations with low viscosity
    • Elman H.C. (1999): Preconditioning for the steady-state Navier-Stokes equations with low viscosity, SIAM J. Sci. Comput. 20, 1299-1316
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 1299-1316
    • Elman, H.C.1
  • 12
    • 85053562248 scopus 로고
    • On numerical methods of solving the navier-stokes equations in "velocity-pressure" variables
    • Marchuk, C. (ed.) CRC Press, New York
    • Kobelkov G.M. (1994): On Numerical Methods of Solving the Navier-Stokes Equations in "Velocity-Pressure" Variables. In: Marchuk, C. (ed.) Numerical methods and applications, pp. 85-115. CRC Press, New York
    • (1994) Numerical Methods and Applications , pp. 85-115
    • Kobelkov, G.M.1
  • 13
    • 0010862336 scopus 로고
    • On numerical solution of nonstationary Stokes equations
    • Olshanskii M.A. (1995): On numerical solution of nonstationary Stokes equations. Russ. J. Numer. Anal. Math. Modelling. 10, 81-92
    • (1995) Russ. J. Numer. Anal. Math. Modelling. , vol.10 , pp. 81-92
    • Olshanskii, M.A.1
  • 14
    • 0039948239 scopus 로고    scopus 로고
    • On one Stokes type problem with a parameter
    • Olshanskii M.A. (1996): On one Stokes type problem with a parameter. Comp. Maths. Math. Phys. 36. 193-202 (transl, from Zh. Vychisl. Mat. Mat. Fiz. 36, 75-86)
    • (1996) Comp. Maths. Math. Phys. , vol.36 , pp. 193-202
    • Olshanskii, M.A.1
  • 15
    • 0039948239 scopus 로고    scopus 로고
    • transl, from
    • Olshanskii M.A. (1996): On one Stokes type problem with a parameter. Comp. Maths. Math. Phys. 36. 193-202 (transl, from Zh. Vychisl. Mat. Mat. Fiz. 36, 75-86)
    • Zh. Vychisl. Mat. Mat. Fiz. , vol.36 , pp. 75-86
  • 16
    • 0031286035 scopus 로고    scopus 로고
    • Stokes problem with model boundary conditions
    • Olshanskii M.A. (1997): Stokes problem with model boundary conditions. Sbornik: Mathematics 188, 603-620 (transl, from Matematicheskii Sbornik 188 )
    • (1997) Sbornik: Mathematics , vol.188 , pp. 603-620
    • Olshanskii, M.A.1
  • 17
    • 85164633529 scopus 로고    scopus 로고
    • transl, from
    • Olshanskii M.A. (1997): Stokes problem with model boundary conditions. Sbornik: Mathematics 188, 603-620 (transl, from Matematicheskii Sbornik 188 )
    • Matematicheskii Sbornik , vol.188
  • 18
    • 0039355830 scopus 로고
    • On rapidly converging iterative methods with incomplete splitting of boundary conditions for a multidimensional singularly perturbed system of Stokes type
    • Pal'tsev B.V. ( 1995): On rapidly converging iterative methods with incomplete splitting of boundary conditions for a multidimensional singularly perturbed system of Stokes type. Russian Acad. Sci. Sb. Math 81, 487-531
    • (1995) Russian Acad. Sci. Sb. Math , vol.81 , pp. 487-531
    • Pal'tsev, B.V.1
  • 19
    • 84957151363 scopus 로고
    • On rapidly converging iterative methods with complete boundary conditions splitting for a multidimensional singularly perturbed system of Stokes type
    • Pal'tsev B.V. (1995): On rapidly converging iterative methods with complete boundary conditions splitting for a multidimensional singularly perturbed system of Stokes type. Russian Acad. Sci. Sb. Math 83, 93-117
    • (1995) Russian Acad. Sci. Sb. Math , vol.83 , pp. 93-117
    • Pal'tsev, B.V.1
  • 20
    • 0001464667 scopus 로고
    • A preconditioned iterative methods for saddle point problems
    • Rusten T., Winther R. (1992): A preconditioned iterative methods for saddle point problems. SIAM J. Matrix Anal. Appl. 13, 887-904
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 887-904
    • Rusten, T.1    Winther, R.2
  • 21
    • 0028431181 scopus 로고
    • Resume and Remarks on the open boundary condition minisymposium
    • Sani R.L., Gresho P.M. (1994): Resume and Remarks on the open boundary condition minisymposium. Int. J. Numer. Methods Fluids 18, 983-1008
    • (1994) Int. J. Numer. Methods Fluids , vol.18 , pp. 983-1008
    • Sani, R.L.1    Gresho, P.M.2
  • 22
    • 0028517184 scopus 로고
    • Fast iterative solution of stabilized Stokes systems part II: Using block preconditioners
    • Silvester D., Wathen A. (1994): Fast iterative solution of stabilized Stokes systems part II: Using block preconditioners, SIAM J. Numer. Anal. 31, 1352-1367
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1352-1367
    • Silvester, D.1    Wathen, A.2
  • 23
    • 0003306281 scopus 로고
    • Navier-stokes equations
    • North-Holland, Amsterdam
    • Temam R. (1977): Navier-Stokes Equations. Theory and Numerical Analysis. North-Holland, Amsterdam
    • (1977) Theory and Numerical Analysis
    • Temam, R.1
  • 24
    • 0003529440 scopus 로고    scopus 로고
    • Efficient solvers for incompressible flow problems: An algorithmic approach in view of computational aspects
    • Springer, Heidelberg
    • Turek S.(1999): Efficient solvers for incompressible flow problems: An algorithmic approach in view of computational aspects. LNCSE, vol. 6, Springer, Heidelberg
    • (1999) LNCSE , vol.6
    • Turek, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.