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Reliable a posteriori error control for non-conforming finite element approximation of Stokes flow

Dörfler, Willy; Ainsworth, M.

Abstract:
We derive computable a posteriori error estimates for the lowest order nonconforming Crouzeix--Raviart element applied to the approximation of incompressible Stokes flow. The estimator provides an explicit upper bound that is free of any unknown constants, provided that a reasonable lower bound for the inf-sup constant of the underlying problem is available. In addition, it is shown that the estimator provides an equivalent lower bound on the error up to a generic constant.


Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Zeitschriftenaufsatz
Jahr 2005
Sprache Englisch
Identifikator ISSN: 0025-5718
KITopen ID: 1000012906
Erschienen in Mathematics of Computation
Band 74
Heft 252
Seiten 1599-1619
Schlagworte Computable error bounds, a posteriori error estimates, non-conforming finite elements, Stokes flow
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