Adaptive Timestep Control for the Contact-Stabilized Newmark Method
Please always quote using this URN:urn:nbn:de:0296-matheon-7112
- 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 |
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URN: | urn:nbn:de:0296-matheon-7112 |
Referee: | Ralf Kornhuber |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2010/12/09 |
Release Date: | 2010/03/09 |
Tag: | |
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] |
65-XX NUMERICAL ANALYSIS / 65Kxx Mathematical programming, optimization and variational techniques / 65K15 Numerical methods for variational inequalities and related problems | |
65-XX NUMERICAL ANALYSIS / 65Lxx Ordinary differential equations / 65L06 Multistep, Runge-Kutta and extrapolation methods | |
74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Mxx Special kinds of problems / 74M15 Contact | |
Preprint Number: | 721 |