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math.NA2020
On the threshold condition for Dörfler marking
Lars Diening, Christian Kreuzer
It is an open question if the threshold condition for the Dörfler marking parameter is necessary to obtain optimal algebraic rates of adaptive finite element methods.…
math.NA2020
Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- and divergence-preserving operators
Christian Kreuzer, Rüdiger Verfürth, Pietro Zanotti
We approximate the solution of the Stokes equations by a new quasi-optimal and pressure robust discontinuous Galerkin discretization of arbitrary order. This means quasi-optimality…