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Volumn 37, Issue 4, 2000, Pages 1085-1100

The mixed mortar finite element method for the incompressible stokes problem: Convergence analysis

Author keywords

Inf sup condition; Mortar finite elements; Saddle point problem

Indexed keywords


EID: 0001476937     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036142997329220     Document Type: Article
Times cited : (43)

References (32)
  • 1
    • 0039929134 scopus 로고    scopus 로고
    • Méthode itérative des sous-structuration pour les éléments avec joints
    • Y. ACHDOU, Y. MADAY, AND O. B. WIDLUND, Méthode itérative des sous-structuration pour les éléments avec joints, C. R. Acad. Sci. Paris, Sér. I Math., 322 (1996), pp. 185-190.
    • (1996) C. R. Acad. Sci. Paris, Sér. i Math. , vol.322 , pp. 185-190
    • Achdou, Y.1    Maday, Y.2    Widlund, O.B.3
  • 2
    • 0001662357 scopus 로고    scopus 로고
    • Iterative substructuring preconditioners for the mortar finite element method in two dimensions
    • Y. ACHDOU, Y. MADAY, AND O. B. WIDLUND, Iterative substructuring preconditioners for the mortar finite element method in two dimensions, SIAM J. Numer. Anal., 36 (1999), pp. 551-580.
    • (1999) SIAM J. Numer. Anal. , vol.36 , pp. 551-580
    • Achdou, Y.1    Maday, Y.2    Widlund, O.B.3
  • 3
    • 0040226489 scopus 로고
    • A fast solver for Navier-Stokes equations in the laminar regime using mortar finite element and boundary element methods
    • Y. ACHDOU AND O. PIRONNEAU, A fast solver for Navier-Stokes equations in the laminar regime using mortar finite element and boundary element methods, SIAM J. Numer. Anal., 32 (1995), pp. 985-1016.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 985-1016
    • Achdou, Y.1    Pironneau, O.2
  • 4
    • 0001747884 scopus 로고
    • Une méthode d'éléments finis hybride en décomposition de domaines
    • A. AGOUZAL AND J.-M. THOMAS, Une méthode d'éléments finis hybride en décomposition de domaines, RAIRO Modél. Math. Anal. Numér., 29 (1995), pp. 749-764.
    • (1995) RAIRO Modél. Math. Anal. Numér , vol.29 , pp. 749-764
    • Agouzal, A.1    Thomas, J.-M.2
  • 7
    • 0041800397 scopus 로고    scopus 로고
    • The mortar finite element method with Lagrange multipliers
    • F. BEN BELGACEM, The mortar finite element method with Lagrange multipliers, Numer. Math., 84 (1999), pp. 173-197.
    • (1999) Numer. Math. , vol.84 , pp. 173-197
    • Ben Belgacem, F.1
  • 8
    • 0040141954 scopus 로고    scopus 로고
    • Inf-sup conditions for the mortar spectral element discretization of the Stokes problem
    • to appear
    • F. BEN BELGACEM, C. BERNARDI, N. CHORFI, AND Y. MADAY, Inf-sup conditions for the mortar spectral element discretization of the Stokes problem, Numer. Math., 2000, to appear.
    • (2000) Numer. Math.
    • Ben Belgacem, F.1    Bernardi, C.2    Chorfi, N.3    Maday, Y.4
  • 9
    • 0005311960 scopus 로고    scopus 로고
    • The mortar element method for three dimensional finite elements
    • F. BEN BELGACEM AND Y. MADAY, The mortar element method for three dimensional finite elements, RAIRO Modél. Math. Anal. Numér., 31 (1997), pp. 289-302.
    • (1997) RAIRO Modél. Math. Anal. Numér , vol.31 , pp. 289-302
    • Ben Belgacem, F.1    Maday, Y.2
  • 10
    • 0007426607 scopus 로고
    • Non conforming spectral method for second order elliptic problems in 3D
    • F. BEN BELGACEM AND Y. MADAY, Non conforming spectral method for second order elliptic problems in 3D, East-West J. Numer. Math., 4 (1993), pp. 235-251.
    • (1993) East-West J. Numer. Math. , vol.4 , pp. 235-251
    • Ben Belgacem, F.1    Maday, Y.2
  • 11
    • 0028444894 scopus 로고
    • Non conforming spectral element methodology tuned to parallel implementation
    • F. BEN BELGACEM AND Y. MADAY, Non conforming spectral element methodology tuned to parallel implementation, Comput. Methods Appl. Mech. Engrg., 116 (1994), pp. 59-67.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.116 , pp. 59-67
    • Ben Belgacem, F.1    Maday, Y.2
  • 12
    • 0003270351 scopus 로고
    • Nonnegative Matrices in the Mathematical Sciences
    • SIAM, Philadelphia
    • A. BERMAN AND R. J. PLEMMONS, Nonnegative Matrices in the Mathematical Sciences, Classics in Appl. Math. 9, SIAM, Philadelphia, 1994.
    • (1994) Classics in Appl. Math. , vol.9
    • Berman, A.1    Plemmons, R.J.2
  • 13
    • 84966218871 scopus 로고
    • Coupling finite element and spectral methods: First results
    • C. BERNARDI, N. DÉBIT, AND Y. MADAY, Coupling finite element and spectral methods: First results, Math. Comp., 54 (1990), pp. 21-39.
    • (1990) Math. Comp. , vol.54 , pp. 21-39
    • Bernardi, C.1    Débit, N.2    Maday, Y.3
  • 14
    • 0001625423 scopus 로고    scopus 로고
    • A local regularization operator for triangular and quadrilateral finite elements
    • C. BERNARDI AND V. GIRAULT, A local regularization operator for triangular and quadrilateral finite elements, SIAM J. Numer. Anal., 35 (1998), pp. 1893-1916.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 1893-1916
    • Bernardi, C.1    Girault, V.2
  • 15
    • 0002336587 scopus 로고
    • A new non conforming approach to domain decomposition: The mortar element method
    • H. Brezis and J.-L. Lions, eds., Longman Scientific and Technical, Harlow, UK
    • C. BERNARDI, Y. MADAY, AND A. T. PATERA, A new non conforming approach to domain decomposition: The mortar element method, in Collège de France Seminar, H. Brezis and J.-L. Lions, eds., Longman Scientific and Technical, Harlow, UK, 1994, pp. 13-51.
    • (1994) Collège de France Seminar , pp. 13-51
    • Bernardi, C.1    Maday, Y.2    Patera, A.T.3
  • 16
    • 0024908378 scopus 로고
    • Non conforming matching conditions for coupling spectral and finite element methods
    • C. BERNARDI, Y. MADAY, AND G. SACCHI-LANDRIANI, Non conforming matching conditions for coupling spectral and finite element methods, Appl. Numer. Math., 54 (1989), pp. 64-84.
    • (1989) Appl. Numer. Math. , vol.54 , pp. 64-84
    • Bernardi, C.1    Maday, Y.2    Sacchi-Landriani, G.3
  • 17
    • 0001023383 scopus 로고
    • Stability of finite elements under divergence constraints
    • J. M. BOLAND AND R. A. NICOLAIDES, Stability of finite elements under divergence constraints, SIAM J. Numer. Anal., 20 (1983), pp. 722-731.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 722-731
    • Boland, J.M.1    Nicolaides, R.A.2
  • 18
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle point problems arising from Lagrange multipliers
    • F. BREZZI, On the existence, uniqueness and approximation of saddle point problems arising from Lagrange multipliers, Rev. Francaise Automat. Informat. Recherche Opérationnelle Sér. Rouge, 8 (1974), pp. 129-151.
    • (1974) Rev. Francaise Automat. Informat. Recherche Opérationnelle Sér. Rouge , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 19
    • 0003312979 scopus 로고
    • Mixed and Hybrid Finite Element Methods
    • Springer-Verlag, New York
    • F. BREZZI AND M. FORTIN, Mixed and Hybrid Finite Element Methods, Springer Ser. Comput. Math. 15, Springer-Verlag, New York, 1991.
    • (1991) Springer Ser. Comput. Math. , vol.15
    • Brezzi, F.1    Fortin, M.2
  • 21
    • 84966243417 scopus 로고
    • 2-projection on finite element function spaces
    • 2-projection on finite element function spaces, Math. Comp., 48 (1987), pp. 521-532.
    • (1987) Math. Comp. , vol.48 , pp. 521-532
    • Srouzeix, M.1    Thomee, V.2
  • 26
    • 0003320921 scopus 로고
    • Elliptic Problems in Nonsmooth Domains
    • Pitman, Boston, London
    • P. GRISVARD, Elliptic Problems in Nonsmooth Domains, Monographs and Studies in Mathematics 24, Pitman, Boston, London, 1985.
    • (1985) Monographs and Studies in Mathematics , vol.24
    • Grisvard, P.1
  • 30
    • 0003634269 scopus 로고
    • Ḿthodes d'éléments finis pour les fluides
    • Masson, Paris
    • O. PIRONNEAU, Ḿthodes d'éléments finis pour les fluides, Rech. Math. Appl., Masson, Paris, 1988.
    • (1988) Rech. Math. Appl.
    • Pironneau, O.1


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