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An extension theorem for equilibrium finite elements spaces

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Abstract

We prove a discrete extension theorem for the equilibrium finite elements spaces. The most important part of the work consists of establishing the basic properties used for proving the extension theorem.

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References

  1. D.A. Adams, Sobolev Spaces. Academic Press, New York, 1975.

    MATH  Google Scholar 

  2. A. Agouzal, Analyse numérique de méthodes de décomposition de domaines, méthode des domaines fictifs avec multiplicateurs de Lagrange. Thèse, Université de Pau, 1993.

  3. A. Agouzal, Méthode d’élément avec joints en formulation duale. C. R. Acad. Sci., Série I,319 (1994), 761–764.

    MATH  MathSciNet  Google Scholar 

  4. A. Agouzal et L. Lamoulie, Un algorithme de résolution pour une méthode de décomposition de domaines par éléments finis. C. R. Acad. Sci., Série I,319 (1994), 171–176.

    MathSciNet  Google Scholar 

  5. A. Bendali, Numerical analysis of the exterior boundary value problem for the time-harmonic Maxwell equations by boundary finite element method. Part 2. Math. Comp.,43 (1984), 43–65.

    Google Scholar 

  6. F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods. Springer Verlag, 1991.

  7. P.E. Bjorstad and O.B. Widlund, Iterative, methods for the solution of elliptic problems on regions partitioned into substructures. SIAM J. Numer. Anal.,23 (1986), 1097–1120.

    Article  MathSciNet  Google Scholar 

  8. P.G. Ciarlet, The Finite Element Method for Elliptic Problems. North Holland, Amsterdam, 1978.

    MATH  Google Scholar 

  9. P. Grisvard, Elliptic Problems in Non-Smooth Domains. Pitman, 1984.

  10. J.L. Lions et E. Magenes, Problèmes aux Limites Non Homogènes et Applications. Dunod Gauthier Villars, Paris, 1968.

    MATH  Google Scholar 

  11. J.E. Roberts and J.M. Thomas, Mixed and hybrid methods. Handbook of Numerical Analysis, Vol. 2: Finite Element Methods (eds. P.G. Ciarlet et J.L. Lions), North Holland, Amsterdam, 1991.

    Google Scholar 

  12. A.M. Sanchez, Sur l’estimation des erreurs d’approximation et d’interpolation polynomiales dans les espaces de Sobolev d’ordre non entier. Thèse, Université de Pau 1984.

  13. O. B. Widlund, An extension theorem for finite element spaces with three applications. Numerical Techniques in Continum Mechanics, 1987.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées URA CNRS 1204, I.P.R.A., Avenue de l’Université, 64000, Pau, France

    Abdellatif Agouzal & Jean-Marie Thomas

Authors
  1. Abdellatif Agouzal
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  2. Jean-Marie Thomas
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Agouzal, A., Thomas, JM. An extension theorem for equilibrium finite elements spaces. Japan J. Indust. Appl. Math. 13, 257–266 (1996). https://doi.org/10.1007/BF03167247

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  • DOI: https://doi.org/10.1007/BF03167247

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