On the threshold condition for Dörfler marking

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dc.contributor.authorDiening, Lars
dc.contributor.authorKreuzer, Christian
dc.date.accessioned2020-03-30T09:43:18Z
dc.date.available2020-03-30T09:43:18Z
dc.date.issued2020-03
dc.description.abstractIt 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.en
dc.identifier.issn2190-1767
dc.identifier.urihttp://hdl.handle.net/2003/39072
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-20991
dc.language.isoen
dc.relation.ispartofseriesErgebnisberichte des Instituts für Angewandte Mathematik;628
dc.subjectadaptive finite element methodsen
dc.subjectDörfler markingen
dc.subjectconvergenceen
dc.subjectoptimal complexityen
dc.subject.ddc610
dc.titleOn the threshold condition for Dörfler markingen
dc.typeText
dc.type.publicationtypepreprint
dcterms.accessRightsopen access
eldorado.secondarypublicationfalse

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