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Numerische Mathematik

, Volume 74, Issue 4, pp 453–477 | Cite as

Mixed finite element for the linear plate problem: the Hermann-Miyoshi model revisited

  • A. Oukit
  • R. Pierre

Summary.

In this paper we study the relationship between the Hermann-Miyoshi and the Ciarlet-Raviart formulations of the first biharmonic problem. This study will be based on a decomposition principle which will leads us to a new convergence analysis explaining some discrepancies between numerical results obtained with the first formulation on certain meshes and some theoretical convergence results.

Mathematics Subject Classification (1991):65N30 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • A. Oukit
    • 1
  • R. Pierre
    • 1
  1. 1.Département de Mathématiques et Statistique, Université Laval, Québec, G1K 7P4, CanadaCA

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