Unstable modes of the Q1-P0 element

David Griffiths, David J. Silvester

    Research output: Book/ReportOther report

    Abstract

    In this paper the unstable eigenmodes of Q1-P0 velocity/pressure finite element approximation for incompressible flow problems are characterised. It is shown that the inf-sup stability constant is 0(h) in two dimensions and 0(h2)in three dimensions. The basic tool in the analysis is the method of modified equations which is applied to finite difference representations of the underlying finite element equations. The asymptotic estimates are confirmed and supplemented by numerical experiments.
    Original languageEnglish
    PublisherUniversity of Manchester/UMIST. Manchester Centre for Computational Mathematics
    Publication statusPublished - 1994

    Publication series

    NameNumerical Analysis Report
    PublisherManchester Centre for Computational Mathematics
    Volume257

      Fingerprint

    Cite this

    Griffiths, D., & Silvester, D. J. (1994). Unstable modes of the Q1-P0 element. (Numerical Analysis Report; Vol. 257). University of Manchester/UMIST. Manchester Centre for Computational Mathematics. http://library.dundee.ac.uk/F/?func=direct&local_base=DUN01&doc_number=000410053