Numerische Mathematik

, Volume 51, Issue 2, pp 237–250

Mixed finite elements for second order elliptic problems in three variables

Authors

  • Franco Brezzi
    • Dipartimento di Meccanica StrutturaleUniversità di Pavia, and Istituto di Analisi Numerica del C.N.R. di Pavia
  • Jim DouglasJr.
    • Department of MathematicsUniversity of Chicago
  • Ricardo Durán
    • Department of MathematicsUniversity of Chicago
  • Michel Fortin
    • Départment de MathématiquesUniversité Laval
Article

DOI: 10.1007/BF01396752

Cite this article as:
Brezzi, F., Douglas, J., Durán, R. et al. Numer. Math. (1987) 51: 237. doi:10.1007/BF01396752

Summary

Two families of mixed finite elements, one based on simplices and the other on cubes, are introduced as alternatives to the usual Raviart-Thomas-Nedelec spaces. These spaces are analogues of those introduced by Brezzi, Douglas, and Marini in two space variables. Error estimates inL2 andH−s are derived.

Subject Classifications

AMS(MOS): 65N30CR: G1.8

Copyright information

© Springer-Verlag 1987