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On the stability of bilinear-constant velocity-pressure finite elements

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Summary

An analysis of the Babuška stability of bilinear/constant finite element pairs for viscous flow calculations is given. An unstable mode not of the checkerboard type is given for which the stability constant turns out to beO(h). Thus, the indicated spaces are not stable in general for numerical calculation.

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Authors and Affiliations

  1. Carnegie-Mellon University, 15213, Pittsburgh, PA, USA

    J. M. Boland

  2. University of Connecticut, Storrs, USA

    R. A. Nicolaides

Authors
  1. J. M. Boland
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  2. R. A. Nicolaides
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Work supported by U.S. Air Force Office of Scientific Research under grant AF-AFOSR-82-0213

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Boland, J.M., Nicolaides, R.A. On the stability of bilinear-constant velocity-pressure finite elements. Numer. Math. 44, 219–222 (1984). https://doi.org/10.1007/BF01410106

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  • DOI: https://doi.org/10.1007/BF01410106

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