Adaptive Timestep Control for the Contact-Stabilized Newmark Method
Please always quote using this URN: urn:nbn:de:0297-zib-11714
- 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.
| Author: | Corinna Klapproth, Anton Schiela, Peter Deuflhard |
|---|---|
| Document Type: | ZIB-Report |
| Tag: | adaptivity; contact--stabilized Newmark method; dynamical contact problems; extrapolation methods; timestep control |
| MSC-Classification: | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Lxx Hyperbolic equations and systems [See also 58J45] / 35L86 Nonlinear hyperbolic unilateral problems and nonlinear hyperbolic variational inequalities [See also 35R35, 49J40] |
| Date of first Publication: | 2010/06/09 |
| Series (Serial Number): | ZIB-Report (10-09) |
| ISSN: | 1438-0064 |
| ZIB-Reportnumber: | 10-09 |
| Published in: | Appeared in: Numerische Mathematik vol. 119 iss. 1 (2011), pp. 49-81 |
