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Adaptive Timestep Control for the Contact-Stabilized Newmark Method (2010)

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter

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Publication Date: 2016-06-09

Description: 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.

Keywords: ddc:510

Language: English

Type: reportzib , doc-type:preprint

Format: application/pdf

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