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Adaptive Numerical Simulation of Dynamic Contact Problems

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Numerical Mathematics and Advanced Applications - ENUMATH 2013

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 103))

Abstract

We present a new approach for the space-time adaptive solution of dynamic contact problems. By combining ideas from the recently introduced residual-type a posteriori error estimator for static contact problems (Krause et al., An efficient and reliable residual-type a posteriori error estimator for the Signorini problem. Numer. Math. (2014), DOI: 10.1007/s00211-014-0655-8) and the novel discretization scheme with local impact detection (Krause and Walloth, A family of space-time connecting discretization schemes with local impact detection for elastodynamic contact problems. Comput. Methods Appl. Mech. Eng. 200:3425–3438, 2011), a discretization method is constructed which is able to detect and resolve local nonsmooth effects at the contact boundary in space and time. Numerical results in 3D illustrate our theoretical findings.

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References

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Darmstadt, Dolivostraße 15, D-64293, Darmstadt, Germany

    Mirjam Walloth

  2. Institute of Computational Science, University of Lugano, Via Giuseppe Buffi 13, CH-6900, Lugano, Switzerland

    Rolf Krause

Authors
  1. Mirjam Walloth
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  2. Rolf Krause
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Corresponding author

Correspondence to Mirjam Walloth .

Editor information

Editors and Affiliations

  1. MATHICSE-ANMC, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Assyr Abdulle

  2. SB MATHICSE CMCS, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Simone Deparis

  3. SB MATHICSE ANCHP, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Daniel Kressner

  4. SB MATHICSE CSQI, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Fabio Nobile

  5. SB MATHICSE GR-PI, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Marco Picasso

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Walloth, M., Krause, R. (2015). Adaptive Numerical Simulation of Dynamic Contact Problems. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_27

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