Adaptive timestep control for the contact-stabilized Newmark method |
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Authors: | Corinna Klapproth Anton Schiela Peter Deuflhard |
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Institution: | 1.Zuse Institute Berlin (ZIB),Berlin-Dahlem,Germany |
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Abstract: | 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. |
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