On the Threshold Condition for Dörfler Marking

Diening L, Kreuzer C (2020)
Computational Methods in Applied Mathematics.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Diening, LarsUniBi ; Kreuzer, Christian
Abstract / Bemerkung
It is an open question if the threshold condition θ<θ⋆ for the Dörfler marking parameter is necessary to obtain optimal algebraic rates of adaptive finite element methods. We present a (non-PDE) example fitting into the common abstract convergence framework (axioms of adaptivity) which allows for convergence with exponential rates. However, for Dörfler marking θ>θ⋆, the algebraic convergence rate can be made arbitrarily small.
Erscheinungsjahr
2020
Zeitschriftentitel
Computational Methods in Applied Mathematics
ISSN
1609-4840
eISSN
1609-9389
Page URI
https://pub.uni-bielefeld.de/record/2951591

Zitieren

Diening L, Kreuzer C. On the Threshold Condition for Dörfler Marking. Computational Methods in Applied Mathematics. 2020.
Diening, L., & Kreuzer, C. (2020). On the Threshold Condition for Dörfler Marking. Computational Methods in Applied Mathematics. https://doi.org/10.1515/cmam-2020-0041
Diening, L., and Kreuzer, C. (2020). On the Threshold Condition for Dörfler Marking. Computational Methods in Applied Mathematics.
Diening, L., & Kreuzer, C., 2020. On the Threshold Condition for Dörfler Marking. Computational Methods in Applied Mathematics.
L. Diening and C. Kreuzer, “On the Threshold Condition for Dörfler Marking”, Computational Methods in Applied Mathematics, 2020.
Diening, L., Kreuzer, C.: On the Threshold Condition for Dörfler Marking. Computational Methods in Applied Mathematics. (2020).
Diening, Lars, and Kreuzer, Christian. “On the Threshold Condition for Dörfler Marking”. Computational Methods in Applied Mathematics (2020).

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arXiv: 2003.10940

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