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Volumn 35, Issue 1, 2000, Pages 23-41

Staggered incremental unknowns for solving Stokes and generalized Stokes problems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 0034273748     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00044-6     Document Type: Article
Times cited : (15)

References (29)
  • 2
    • 34249955392 scopus 로고
    • A class of iterative methods for solving saddle point problems
    • R.E. Bank, B.D. Welfert, H. Yserentant, A class of iterative methods for solving saddle point problems, Numer. Math. 56 (1990) 645-666.
    • (1990) Numer. Math. , vol.56 , pp. 645-666
    • Bank, R.E.1    Welfert, B.D.2    Yserentant, H.3
  • 5
    • 0024249068 scopus 로고
    • Some fast 3D finite element solvers for the generalized Stokes problem
    • J. Cahouet, J.-P. Chabard, Some fast 3D finite element solvers for the generalized Stokes problem, Internat. J. Numer. Methods Fluids 8 (1988) 869-895.
    • (1988) Internat. J. Numer. Methods Fluids , vol.8 , pp. 869-895
    • Cahouet, J.1    Chabard, J.-P.2
  • 6
    • 0030149347 scopus 로고    scopus 로고
    • Solution of generalized Stokes problems using hierarchical methods and incremental unknowns
    • J.-P. Chehab, Solution of generalized Stokes problems using hierarchical methods and incremental unknowns, Appl. Numer. Math. 21 (1996) 9-42.
    • (1996) Appl. Numer. Math. , vol.21 , pp. 9-42
    • Chehab, J.-P.1
  • 7
    • 84985347206 scopus 로고
    • Incremental unknowns for solving nonlinear eigenvalue problems. New multiresolution methods
    • J.-P. Chehab, R. Temam, Incremental unknowns for solving nonlinear eigenvalue problems. New multiresolution methods, Numer. Methods Partial Differential Equations 11 (1995) 199-218.
    • (1995) Numer. Methods Partial Differential Equations , vol.11 , pp. 199-218
    • Chehab, J.-P.1    Temam, R.2
  • 8
    • 0000045013 scopus 로고
    • Incremental unknowns for solving partial differential equations
    • M. Chen, R. Temam, Incremental unknowns for solving partial differential equations, Numer. Math. 59 (1991) 255-271.
    • (1991) Numer. Math. , vol.59 , pp. 255-271
    • Chen, M.1    Temam, R.2
  • 9
    • 21144476017 scopus 로고
    • Incremental unknowns in finite differences: Condition number of the matrix
    • M. Chen, R. Temam, Incremental unknowns in finite differences: Condition number of the matrix, SIAM J. Matrix Anal. Appl. 14 (2) (1993) 432-455.
    • (1993) SIAM J. Matrix Anal. Appl. , vol.14 , Issue.2 , pp. 432-455
    • Chen, M.1    Temam, R.2
  • 10
    • 21144466721 scopus 로고
    • Nonlinear Galerkin method in the finite difference case and wavelet-like incremental unknowns
    • M. Chen, R. Temam, Nonlinear Galerkin method in the finite difference case and wavelet-like incremental unknowns, Numer. Math. 64 (1993) 271-294.
    • (1993) Numer. Math. , vol.64 , pp. 271-294
    • Chen, M.1    Temam, R.2
  • 11
    • 0028741633 scopus 로고
    • Inexact and preconditioned Uzawa algorithms for saddle point problems
    • H.C. Elman, G.H. Golub, Inexact and preconditioned uzawa algorithms for saddle point problems, SIAM J. Numer. Anal. 31 (6) (1994) 1645-1661.
    • (1994) SIAM J. Numer. Anal. , vol.31 , Issue.6 , pp. 1645-1661
    • Elman, H.C.1    Golub, G.H.2
  • 12
    • 0000640737 scopus 로고
    • Modeling of the interaction of small and large eddies in two-dimensional turbulent flow
    • C. Foias, O. Manley, R. Temam, Modeling of the interaction of small and large eddies in two-dimensional turbulent flow, Math. Modelling Numer. Anal. 22 (1988) 93-114.
    • (1988) Math. Modelling Numer. Anal. , vol.22 , pp. 93-114
    • Foias, C.1    Manley, O.2    Temam, R.3
  • 14
    • 0002270291 scopus 로고
    • A combined finite element and Marker and Cell method for solving Navier-Stokes equations
    • V. Girault, A combined finite element and Marker and Cell method for solving Navier-Stokes equations, Numer. Math. 26 (1976) 39-59.
    • (1976) Numer. Math. , vol.26 , pp. 39-59
    • Girault, V.1
  • 15
    • 0041113622 scopus 로고    scopus 로고
    • Finite-element error estimates for the MAC scheme
    • V. Girault, H. Lopez, Finite-element error estimates for the MAC scheme, IMA J. Numer. Anal. 16 (1996) 347-379.
    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 347-379
    • Girault, V.1    Lopez, H.2
  • 16
    • 0030111637 scopus 로고    scopus 로고
    • High-re solutions of the Navier-Stokes equations using incremental unknowns
    • O. Goyon, High-re solutions of the Navier-Stokes equations using incremental unknowns, Comput. Methods Appl. Mech. Engrg. 130 (1996) 937-959.
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.130 , pp. 937-959
    • Goyon, O.1
  • 17
    • 0007060765 scopus 로고    scopus 로고
    • Preconditioned Newton methods using incremental unknowns methods for the resolution of a steady-state Navier-Stokes like problem
    • O. Goyon, P. Poullet, Preconditioned Newton methods using incremental unknowns methods for the resolution of a steady-state Navier-Stokes like problem, Appl. Math. Comput. 87 (1997) 289-311.
    • (1997) Appl. Math. Comput. , vol.87 , pp. 289-311
    • Goyon, O.1    Poullet, P.2
  • 19
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with free surfaces
    • F. Harlow, J. Welch, Numerical calculation of time-dependent viscous incompressible flow of fluid with free surfaces, J. E. Phys. Fluids 8 (1965) 2181-2189.
    • (1965) J. E. Phys. Fluids , vol.8 , pp. 2181-2189
    • Harlow, F.1    Welch, J.2
  • 20
    • 0000515085 scopus 로고
    • Analysis of iterative methods for the steady and unsteady stokes problem: Application to spectral element discretizations
    • Y. Maday, D. Meiron, A.T. Patera, E.M. Ronquist, Analysis of iterative methods for the steady and unsteady stokes problem: Application to spectral element discretizations, SIAM J. Statist. Comput. 14 (2) (1993) 310-337.
    • (1993) SIAM J. Statist. Comput. , vol.14 , Issue.2 , pp. 310-337
    • Maday, Y.1    Meiron, D.2    Patera, A.T.3    Ronquist, E.M.4
  • 24
    • 0028468798 scopus 로고
    • Iterative solution techniques for the Stokes and Navier-Stokes equations
    • A. Ramage, A. Wathen, Iterative solution techniques for the Stokes and Navier-Stokes equations, Internat. J. Numer. Methods Fluids 19 (1994) 67-83.
    • (1994) Internat. J. Numer. Methods Fluids , vol.19 , pp. 67-83
    • Ramage, A.1    Wathen, A.2
  • 25
    • 0031324048 scopus 로고    scopus 로고
    • Numerical solutions of the Navier-Stokes equations using wavelet-like incremental unknowns
    • T. Tachim Medjo, Numerical solutions of the Navier-Stokes equations using wavelet-like incremental unknowns, Math. Modelling Numer. Anal. 7 (31) (1997) 827-844.
    • (1997) Math. Modelling Numer. Anal. , vol.7 , Issue.31 , pp. 827-844
    • Tachim Medjo, T.1
  • 27
    • 0000894525 scopus 로고
    • Inertial manifolds and multigrid methods
    • R. Temam, Inertial manifolds and multigrid methods, SIAM J. Math. Anal. 21 (1) (1990) 154-178.
    • (1990) SIAM J. Math. Anal. , vol.21 , Issue.1 , pp. 154-178
    • Temam, R.1
  • 28
    • 0021211404 scopus 로고
    • A combined conjugate gradient-multigrid algorithm for the numerical solution of the Stokes problem
    • R. Verfürth, A combined conjugate gradient-multigrid algorithm for the numerical solution of the Stokes problem, IMA J. Numer. Anal. 4 (1984) 441-455.
    • (1984) IMA J. Numer. Anal. , vol.4 , pp. 441-455
    • Verfürth, R.1
  • 29
    • 34250126304 scopus 로고
    • On multilevel splitting of finite element spaces
    • H. Yserentant, On multilevel splitting of finite element spaces, Numer. Math. 49 (1986) 379-412.
    • (1986) Numer. Math. , vol.49 , pp. 379-412
    • Yserentant, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.