Diening, LarsKreuzer, Christian2020-03-302020-03-302020-032190-1767http://hdl.handle.net/2003/3907210.17877/DE290R-20991It 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.enErgebnisberichte des Instituts für Angewandte Mathematik;628adaptive finite element methodsDörfler markingconvergenceoptimal complexity610preprint