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Projection stabilized nonconforming finite element methods for the stokes problem
Author(s) -
Achchab Boujemâa,
Agouzal Abdellatif,
Bouihat Khalid,
Majdoubi Adil,
Souissi Ali
Publication year - 2017
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22083
Subject(s) - mathematics , stokes problem , estimator , finite element method , a priori and a posteriori , projection (relational algebra) , discretization , partial differential equation , error analysis , partial derivative , element (criminal law) , mathematical analysis , algorithm , statistics , philosophy , physics , epistemology , political science , law , thermodynamics
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