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Date
2020
Abstract
Lower a posteriori error bounds obtained using the standard bubble function approach are reviewed in the context of anisotropic meshes. A numerical example is given that clearly demonstrates that the short-edge jump residual terms in such bounds are not sharp. Hence, for linear finite element approximations of the Laplace equation in polygonal domains, a new approach is employed to obtain essentially sharper lower a posteriori error bounds and thus to show that the upper error estimator in the recent paper [3] is efficient on partially structured anisotropic meshes.
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Description
peer-reviewed
Publisher
Springer
Citation
Numerische Mathematik;146, pp. 159-179
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Kopteva_2020_Lower.pdf
Adobe PDF, 398.92 KB