Authors: Diening, Lars
Kreuzer, Christian
Title: On the threshold condition for Dörfler marking
Language (ISO): en
Abstract: 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) and which is potentially converging with exponential rates. However, for Dörfler marking θ > θ_* the algebraic converges rate can be made arbitrarily small.
Subject Headings: adaptive finite element methods
Dörfler marking
optimal complexity
Issue Date: 2020-03
Appears in Collections:Ergebnisberichte des Instituts für Angewandte Mathematik

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