Reference : Removing the saturation assumption in Bank-Weiser error estimator analysis in dimensi...
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http://hdl.handle.net/10993/42546
Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three
English
Bulle, Raphaël mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Chouly, Franz []
Hale, Jack mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Lozinski, Alexei []
Sep-2020
Applied Mathematics Letters
Elsevier
107
106429
Yes (verified by ORBilu)
International
0893-9659
Oxford
United Kingdom
[en] finite element methods ; a posteriori error estimation ; saturation assumption ; Bank-Weiserestimator ; residual estimator
[en] We provide a new argument proving the reliability of the Bank-Weiser estimator for Lagrange piecewise linear finite elements in both dimension 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.
University of Luxembourg
ASSIST
Researchers
http://hdl.handle.net/10993/42546
10.1016/j.aml.2020.106429
H2020 ; 811099 - DRIVEN - Increasing the scientific excellence and innovation capacity in Data-Driven Simulation of the University of Luxembourg

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