Numerische Mathematik

, Volume 47, Issue 2, pp 217–235

Two families of mixed finite elements for second order elliptic problems

Authors

  • Franco Brezzi
    • Dipartimento di Meccanica StrutturaleUniversità di Pavia
    • Istituto di Analisi Numerica del C.N.R. di Pavia
  • Jim DouglasJr.
    • Department of MathematicsUniversity of Chicago
  • L. D. Marini
    • Istituto di Analisi Numerica del C.N.R. di Pavia
Article

DOI: 10.1007/BF01389710

Cite this article as:
Brezzi, F., Douglas, J. & Marini, L.D. Numer. Math. (1985) 47: 217. doi:10.1007/BF01389710

Summary

Two families of mixed finite elements, one based on triangles and the other on rectangles, are introduced as alternatives to the usual Raviart-Thomas-Nedelec spaces. Error estimates inL 2 (Ω) andH −5 (Ω) are derived for these elements. A hybrid version of the mixed method is also considered, and some superconvergence phenomena are discussed.

Subject Classifications

AMS(MOS): 65N30 CR: G18

Copyright information

© Springer-Verlag 1985