Mixed-hybrid finite element approximations of second-order elliptic boundary-value problems

https://doi.org/10.1016/0045-7825(77)90058-5Get rights and content

Abstract

Mixed-hybrid finite element approximations are described for second-order elliptic boundary-value problems in which independent approximations are used for the solution and its gradient on the interior of an element and the trace of the gradients on the boundary of the element. A priori error estimates are derived with conditions for convergence. Several other finite element models are also obtained as special cases. Some numerical examples are included.

References (30)

  • J.M. Thomas

    Méthodes des éléments finis hybrides duaux pour les problèmes elliptiques du second-ordre

  • Y. Yamamoto

    A formulation of matrix displacement method

  • F. Brezzi

    Sur la méthode des éléments finis hybrides pour le problème biharmonique

    Numer. Math.

    (1975)
  • F. Brezzi et al.

    On the numerical solution of plate bending problems by hybrid methods

    RAIRO Report

    (1975)
  • B.Fraeijs de Veubeke

    Variational principles and the patch test

    Int. J. Numer. Meths. Eng.

    (1974)
  • Cited by (0)

    View full text