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  1. Home > Articles & Issues >
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  3. A posteriori error e ...
Article

A posteriori error estimates for non conforming approximation of quasi Stokes problem

B. Achchab (1), A. Agouzal (2), K. Bouihat (3) (1)
(1) LM2CE
(2) Institut Camille Jordan
(3) Université Hassan 1er [Settat]
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Imported on
January 31, 2013
Published on
August 6, 2013
Last modified on
March 31, 2025
Volume 16
Volume 16, 2012
DOI
10.46298/arima.1963
License
https://about.hal.science/hal-authorisation-v1
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A posteriori error estimates for non conforming approximation of quasi Stokes problem

B. Achchab (1), A. Agouzal (2), K. Bouihat (3) (1)
(1) LM2CE
(2) Institut Camille Jordan
(3) Université Hassan 1er [Settat]
Abstract
We derive and analyze an a posteriori error estimator for nonconforming finite element approximation for the quasi-Stokes problem, which is based on the solution of local problem on stars with low cost computation, this indicator is equivalent to the energy error norm up to data oscillation, neither saturation assumption nor comparison with residual estimator are made.
Keywords
  • [INFO]Computer Science [cs]
  • [MATH]Mathematics [math]
  • A posteriori error estimator
  • nonconforming finite elements method
  • quasi-Stokes problem.
Mathematics Subject Classification 2020
  • 65N15 - Error bounds for boundary value problems involving PDEs
  • 65N30 - Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
  • 76D07 - Stokes and related (Oseen, etc.) flows
Cited by

Source: OpenCitations

  • Numerical comparison of three a posteriori error estimators for nonconforming finite element method

    Moroccan Journal of Pure and Applied Analysis

    Authors : B. Achchab ORCID, A. Agouzal, K. Bouihat, A. Majdoubi ORCID

    Journal reference : Volume 9, 2023, pp. 1-26

    DOI : 10.2478/mjpaa-2023-0001
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