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A nonstandard mixed finite element family

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Abstract

We show that standard mixed finite element methods, of second or higher degree, for second order elliptic equations can be modified by imposing additional continuity conditions for the flux, which reduces the dimension of the space. This reduced space still gives a stable method with an optimal order of convergence. We recall our postprocessing method and the a posteriori error estimator based on this.

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Authors and Affiliations

  1. Institute of Mathematics and Systems Analysis, Helsinki University of Technology–TKK, P. O. Box 1100, 02015, TKK, Helsinki, Finland

    Rolf Stenberg

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  1. Rolf Stenberg
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Correspondence to Rolf Stenberg.

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Stenberg, R. A nonstandard mixed finite element family. Numer. Math. 115, 131–139 (2010). https://doi.org/10.1007/s00211-009-0272-0

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  • DOI: https://doi.org/10.1007/s00211-009-0272-0

Mathematics Subject Classification (2000)