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Journal Articles Applied Mathematics Letters Year : 2020

Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three

Abstract

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.
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Dates and versions

hal-02482235 , version 1 (17-02-2020)
hal-02482235 , version 2 (26-02-2020)

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Raphaël Bulle, Franz Chouly, Jack S Hale, Alexei Lozinski. Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three. Applied Mathematics Letters, 2020, 107, pp.106429. ⟨10.1016/j.aml.2020.106429⟩. ⟨hal-02482235v2⟩
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