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Volumn 166, Issue 3-4, 1998, Pages 183-199

Staggered grids hybrid-dual spectral element method for second-order elliptic problems: Application to high-order time splitting methods for Navier-Stokes equations

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER ANALYSIS;

EID: 0032573317     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00069-3     Document Type: Article
Times cited : (17)

References (29)
  • 3
    • 0000026672 scopus 로고
    • The h-p-version of the finite element method with quasi-uniform meshes
    • [3] I. Babuška and M. Suri, The h-p-version of the finite element method with quasi-uniform meshes, Modél. Math. Anal. Numér. 21 (1987) 199-238.
    • (1987) Modél. Math. Anal. Numér , vol.21 , pp. 199-238
    • Babuška, I.1    Suri, M.2
  • 4
    • 0028153485 scopus 로고
    • Une méthode de résolution directe (pseudo-spectrale) du problème de stokes 2D|3D instationnaire. Application à la cavité entrainée carrée
    • Série I
    • [4] A. Batoul, H. Khallouf and G. Labrosse, Une méthode de résolution directe (pseudo-spectrale) du problème de stokes 2D|3D instationnaire. Application à la cavité entrainée carrée, C.R. Acad. Sci. Paris 319, Série I (1994) 1455-1461.
    • (1994) C.R. Acad. Sci. Paris , vol.319 , pp. 1455-1461
    • Batoul, A.1    Khallouf, H.2    Labrosse, G.3
  • 7
    • 0002336587 scopus 로고
    • A new non conforming approach to domain decomposition: The mortar element method
    • Pitman, H. Brezis, J.-L. Lions
    • [7] C. Bernardi, Y. Maday and A. T. Patera, A New Non Conforming Approach to Domain Decomposition: The Mortar Element Method, Collège de France Seminar (1990), Pitman, H. Brezis, J.-L. Lions.
    • (1990) Collège de France Seminar
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 8
    • 0001023383 scopus 로고
    • Stability of finite element under divergence constraints
    • [8] J. Boland and R. Nicolaides, Stability of finite element under divergence Constraints, SIAM J. Numer. Anal. 20 (1983) 722-731.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 722-731
    • Boland, J.1    Nicolaides, R.2
  • 10
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle point problems arising from Lagrange multipliers
    • [10] F. Brezzi, On the existence, uniqueness and approximation of saddle point problems arising from Lagrange multipliers, R.A.I.R.O. Anal. Numér. 8 R2 (1974) 129-151.
    • (1974) R.A.I.R.O. Anal. Numér. , vol.8 , Issue.R2 , pp. 129-151
    • Brezzi, F.1
  • 14
    • 0040824964 scopus 로고    scopus 로고
    • Some error estimates for the approximation of the unsteady Navier-Stokes equations by means of projection methods
    • Paris
    • [14] J.-L. Guermond, Some error estimates for the approximation of the unsteady Navier-Stokes equations by means of projection methods, Technical Report of the LIMSI, Paris 11.
    • Technical Report of the LIMSI , pp. 11
    • Guermond, J.-L.1
  • 16
    • 28144457683 scopus 로고
    • High-order splitting methods for the incompressible Navier-Stokes equations
    • [16] G.E. Karniadakis, M. Israeli and S.A. Orszag, High-order splitting methods for the incompressible Navier-Stokes equations, J. Comput. Phys. 97 (1991) 414-443.
    • (1991) J. Comput. Phys. , vol.97 , pp. 414-443
    • Karniadakis, G.E.1    Israeli, M.2    Orszag, S.A.3
  • 17
    • 84974274856 scopus 로고
    • Minimum dissipation transport enhancement by flow destabilization: Reynolds strategy revisited
    • [17] G.E. Karniadakis, B.B. Mikic and A.T. Patera, Minimum dissipation transport enhancement by flow destabilization: Reynolds strategy revisited, J. Fluid Mech. 192 (1988) 365-391.
    • (1988) J. Fluid Mech. , vol.192 , pp. 365-391
    • Karniadakis, G.E.1    Mikic, B.B.2    Patera, A.T.3
  • 19
    • 34250966014 scopus 로고
    • Direct solution of partial difference equations by tensor product methods
    • [19] R.E. Lynch, J.R. Rice and D.H. Thomas, Direct solution of partial difference equations by tensor product methods, Numer. Math. 6 (1994) 185-199.
    • (1994) Numer. Math. , vol.6 , pp. 185-199
    • Lynch, R.E.1    Rice, J.R.2    Thomas, D.H.3
  • 23
  • 24
    • 0001175293 scopus 로고
    • A mixed finite element method for second order elliptic problems
    • Galliani and Magenes, eds., Roma 1975, Springer-Verlag
    • [24] P.-A. Raviart and J.-M. Thomas, A mixed finite element method for second order elliptic problems, in: Galliani and Magenes, eds., Mathematical Aspects of Finite Element Methods, Roma 1975, Vol. 6 (Springer-Verlag, 1977) 292-315.
    • (1977) Mathematical Aspects of Finite Element Methods , vol.6 , pp. 292-315
    • Raviart, P.-A.1    Thomas, J.-M.2
  • 25
    • 70350630547 scopus 로고
    • Mixed and hybrid methods
    • P.-G. Ciarlet and J.-L. Lions, eds., Roma 1975 Elsevier Science Publishers B.V., North Holland
    • [25] J.E. Roberts and J.-M. Thomas, Mixed and hybrid methods, in: P.-G. Ciarlet and J.-L. Lions, eds., Handbook of Numerical Analysis, Vol. 2, Finite Element Methods (Part 1), Roma 1975 (Elsevier Science Publishers B.V., North Holland, 1991) 1523-1639.
    • (1991) Handbook of Numerical Analysis, Vol. 2, Finite Element Methods (Part 1) , vol.2 , pp. 1523-1639
    • Roberts, J.E.1    Thomas, J.-M.2
  • 26
    • 0026819596 scopus 로고
    • On error estimation of the projection method for unsteady Navier-Stokes equations: First order schemes
    • [26] J. Shen, On error estimation of the projection method for unsteady Navier-Stokes equations: First order schemes, SIAM. J. Numer. Anal. 29 (1992) 57-77.
    • (1992) SIAM. J. Numer. Anal. , vol.29 , pp. 57-77
    • Shen, J.1
  • 27
    • 84966258497 scopus 로고
    • Polynomial approximation of divergence-free functions
    • [27] G. Sacchi-Landriani and H. Vandeven, Polynomial approximation of divergence-free functions, Math. Comput. 52 (1989) 103-130.
    • (1989) Math. Comput. , vol.52 , pp. 103-130
    • Sacchi-Landriani, G.1    Vandeven, H.2
  • 28
    • 0001603421 scopus 로고
    • Remark on the pressure boundary condition for the projection method
    • [28] R. Temam, Remark on the pressure boundary condition for the projection method, Theoret. Comput. Fluid Dyn. 3 (1991) 181-184.
    • (1991) Theoret. Comput. Fluid Dyn. , vol.3 , pp. 181-184
    • Temam, R.1


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