Numerische Mathematik

, Volume 47, Issue 2, pp 217–235

Two families of mixed finite elements for second order elliptic problems

  • Franco Brezzi
  • Jim DouglasJr.
  • L. D. Marini
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 inL2(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): 65N30CR: G18

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Franco Brezzi
    • 1
    • 2
  • Jim DouglasJr.
    • 3
  • L. D. Marini
    • 2
  1. 1.Dipartimento di Meccanica StrutturaleUniversità di PaviaPaviaItaly
  2. 2.Istituto di Analisi Numerica del C.N.R. di PaviaItaly
  3. 3.Department of MathematicsUniversity of ChicagoChicagoUSA