Numerische Mathematik

, Volume 47, Issue 2, pp 217-235

First online:

Two families of mixed finite elements for second order elliptic problems

  • Franco BrezziAffiliated withDipartimento di Meccanica Strutturale, Università di PaviaIstituto di Analisi Numerica del C.N.R. di Pavia
  • , Jim DouglasJr.Affiliated withDepartment of Mathematics, University of Chicago
  • , L. D. MariniAffiliated withIstituto di Analisi Numerica del C.N.R. di Pavia

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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