Projection stabilized nonconforming finite element methods for the stokes problem

Projection stabilized nonconforming finite element methods for the stokes problem

In this article we study a projection‐stabilized nonconforming finite element discretization of the Stokes problem. We present a priori error analysis and give a recovery‐based a posteriori error estimator for the considered problem. Numerical results illustrate the theoretical performance of the er...

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Veröffentlicht in:Numerical methods for partial differential equations 2017-01, Vol.33 (1), p.218-240
Hauptverfasser: Achchab, Boujemâa, Agouzal, Abdellatif, Bouihat, Khalid, Majdoubi, Adil, Souissi, Ali
Format: Artikel
Sprache:eng
Schlagworte:
Discretization
Error analysis
Estimators
Finite element method
Fluid flow
Mathematical analysis
nonconforming finite elements
Numerical analysis
Projection
recovery‐based a posteriori error estimates
stabilization methods
stokes problem
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Zusammenfassung:In this article we study a projection‐stabilized nonconforming finite element discretization of the Stokes problem. We present a priori error analysis and give a recovery‐based a posteriori error estimator for the considered problem. Numerical results illustrate the theoretical performance of the error estimator. © 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 218–240, 2017
ISSN:0749-159X
1098-2426
DOI:10.1002/num.22083