Numerische Mathematik

, Volume 44, Issue 2, pp 219–222 | Cite as

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

  • J. M. Boland
  • R. A. Nicolaides


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.

Subject Classifications

AMS(MOS): 65N30 CR: 5.17 


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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • J. M. Boland
    • 1
  • R. A. Nicolaides
    • 2
  1. 1.Carnegie-Mellon UniversityPittsburghUSA
  2. 2.University of ConnecticutStorrsUSA

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