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Two families of mixed finite elements for second order elliptic problems

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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.

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Authors and Affiliations

  1. Dipartimento di Meccanica Strutturale, Università di Pavia, Pavia, Italy

    Franco Brezzi

  2. Istituto di Analisi Numerica del C.N.R. di Pavia, Italy

    Franco Brezzi & L. D. Marini

  3. Department of Mathematics, University of Chicago, 60637, Chicago, IL, USA

    Jim Douglas Jr.

Authors
  1. Franco Brezzi
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  2. Jim Douglas Jr.
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  3. L. D. Marini
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Brezzi, F., Douglas, J. & Marini, L.D. Two families of mixed finite elements for second order elliptic problems. Numer. Math. 47, 217–235 (1985). https://doi.org/10.1007/BF01389710

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