University of Sussex
Browse

File(s) not publicly available

A posteriori error estimation for stabilised mixed approximations of the Stokes equations

journal contribution
posted on 2023-06-07, 21:44 authored by David Kay, David Silvester
The practical implementation of the lowest-order Pl - P0 (linear velocity, constant pressure) finite element method for the steady-state incompressible (Navier--)Stokes equations is addressed in this work. Three different types of a posteriori error indicator are introduced and each is shown to be equivalent to the discretization error. Our numerical results show that these indicators can be used to drive an adaptive refinement process which is specially tailored to create grids which conform to the requirements of the local stabilization. It is also shown that the indicators provide an effective method for detecting local singularities in the flow solution.

History

Publication status

  • Published

Journal

SIAM Journal on Scientific Computing

ISSN

1064-8275

Publisher

Society for Industrial and Applied Mathematics

Issue

4

Volume

21

Page range

1321-1336

ISBN

1095-7197

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

Usage metrics

    University of Sussex (Publications)

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC