Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three |
| Type de publication | Journal Article |
| Year of Publication | 2020 |
| Auteurs | Bulle R, Chouly F, Hale JS, Lozinski A |
| Journal | APPLIED MATHEMATICS LETTERS |
| Volume | 107 |
| Pagination | 106429 |
| Date Published | SEP |
| Type of Article | Article |
| ISSN | 0893-9659 |
| Mots-clés | A posteriori error estimation, Bank-Weiser estimator, Finite element methods, Residual estimator, Saturation assumption |
| Résumé | We provide a new argument proving the reliability of the Bank-Weiser estimator for Lagrange piecewise linear finite elements in both dimensions two and three. The extension to dimension three constitutes the main novelty of our study. In addition, we present a numerical comparison of the Bank-Weiser and residual estimators for a three-dimensional test case. (c) 2020 Elsevier Ltd. All rights reserved. |
| DOI | 10.1016/j.aml.2020.106429 |