A simple yet effective a posteriori estimator for classical mixed approximation of Stokes equations

Qifeng Liao, David Silvester

    Research output: Contribution to journalArticlepeer-review

    Abstract

    The implementation of quadratic velocity, linear pressure finite element approximation methods for the steady-state incompressible (Navier-)Stokes equations is addressed in this work. Three types of a posteriori error indicator are introduced and are shown to give global error estimates that are equivalent to the true discretisation error. Computational results suggest that the solution of local Poisson problems provides a cost-effective error estimation strategy, both from the perspective of accurate estimation of the global error and for the purpose of selecting elements for refinement within a contemporary self-adaptive refinement algorithm. © 2010 IMACS.
    Original languageEnglish
    Pages (from-to)1242-1256
    Number of pages14
    JournalApplied Numerical Mathematics
    Volume62
    Issue number9
    DOIs
    Publication statusPublished - Sep 2012

    Keywords

    • Error estimation
    • Finite elements
    • Mixed approximation

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