TY - GEN A1 - Klapproth, Corinna A1 - Schiela, Anton A1 - Deuflhard, Peter T1 - Adaptive Timestep Control for the Contact-Stabilized Newmark Method N2 - The aim of this paper is to devise an adaptive timestep control in the contact--stabilized Newmark method (CONTACX) for dynamical contact problems between two viscoelastic bodies in the framework of Signorini's condition. In order to construct a comparative scheme of higher order accuracy, we extend extrapolation techniques. This approach demands a subtle theoretical investigation of an asymptotic error expansion of the contact--stabilized Newmark scheme. On the basis of theoretical insight and numerical observations, we suggest an error estimator and a timestep selection which also cover the presence of contact. Finally, we give a numerical example. KW - dynamical contact problems KW - contact--stabilized Newmark method KW - extrapolation methods KW - adaptivity KW - timestep control Y1 - 2010 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/711 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-7112 ER -