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 convergence optimal complexity |
URI: | http://hdl.handle.net/2003/39072 http://dx.doi.org/10.17877/DE290R-20991 |
Issue Date: | 2020-03 |
Appears in Collections: | Ergebnisberichte des Instituts für Angewandte Mathematik |
Files in This Item:
File | Description | Size | Format | |
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Ergebnisbericht Nr. 628.pdf | DNB | 496.22 kB | Adobe PDF | View/Open |
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