<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

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

U.M.R. 5208 - Camille Jordan Institute, Lyon 1 University

Laboratory of Engineering Sciences, National School of Applied Sciences

Moroccan Journal of Pure and Applied Analysis

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...

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

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
Nonconforming finite elements, Adaptive finite element method, Comparison, A posteriori error estimates

© 2023 B. Achchab et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

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

KeywordsNonconforming finite elements, Adaptive finite element method, Comparison, A posteriori error estimates

© 2023 B. Achchab et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Nonconforming finite elements, Adaptive finite element method, Comparison, A posteriori error estimates