Nummer 2721
Autor Walloth, Mirjam
Titel Residual-type a posteriori error estimator for a quasi-static Signorini contact problem
Upload 18.3.2018

We present a new residual-type a posteriori estimator for a quasi-static Signorini problem. The theoretical results are derived for two and three-dimensional domains and the case of non-discrete gap functions is addressed. We derive global upper and lower bounds with respect to an error measure which measures the error in the displacements, the velocities and a suitable approximation of the contact forces. Further, local lower bounds for the spatial error in each time step are given. The estimator splits in temporal and spatial contributions which can be used for the adaptation of the time step as well as the mesh size. In the derivation of the estimator the local properties of the solution are exploited such that the spatial estimator has no contributions related to the non-linearities in the interior of the actual time-dependent contact zone but gives rise to an appropriate refinement of the free boundary zone.


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Verantwortliche Autorin: Anke Meier-Dörnberg



Fachbereich Mathematik
Technische Universität Darmstadt

Schlossgartenstraße 7
64289 Darmstadt

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