Numerical comparison of three a posteriori error estimators for nonconforming finite element method-Reference-Cited by-同舟云学术

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

Published:2023-01-01 Issue:1 Volume:9 Page:1-26
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Achchab B.¹,Agouzal A.²,Bouihat K.¹,Majdoubi A.³

Affiliation:

1. University Hassan 1 , LAMSAD, ENSA Berrechid B.P. 218 Berrechid 26100 , Morocco

2. Department of Mathematics , U.M.R. 5208 - Camille Jordan Institute, Lyon 1 University . Building 1001,69 622 Villeurbanne Cedex - France

3. Laboratory of Engineering Sciences, National School of Applied Sciences , Ibn Tofail University , Kenitra , Morocco

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2023-0001

Reference51 articles.

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