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

B. Achchab

B. Achchab

Morocco
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Achchab, B.
, 
A. Agouzal

A. Agouzal

Department of Mathematics, U.M.R. 5208 - Camille Jordan Institute, Lyon 1 UniversityFrance
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Agouzal, A.
, 
K. Bouihat

K. Bouihat

Morocco
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Bouihat, K.
 and 
A. Majdoubi

A. Majdoubi

Laboratory of Engineering Sciences, National School of Applied Sciences, Ibn Tofail UniversityKenitra, Morocco
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Majdoubi, A.
  
Feb 01, 2023
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Published Online: Feb 01, 2023
Page range: 1 - 26
Received: Nov 26, 2022
Accepted: Dec 28, 2022
DOI: https://doi.org/10.2478/mjpaa-2023-0001
Keywords
© 2023 B. Achchab et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we propose to compare three a posteriori error estimators namely equilibrated, star-based and residual based for the Poisson problem and the Stokes problem with lowest-order Crouzeix-Raviart finite element discretization. The numerical results are presented to compare the performance of the three estimators in an adaptive refinement strategy.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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