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Nonlinear Decomposition Methods in Elastodynamics

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • Christian Groß

    (University of Lugano, Institute of Computational Science)

  • Rolf Krause

    (University of Lugano, Institute of Computational Science)

  • Mirjam Walloth

    (University of Bonn, Institute for Numerical Simulation)

Abstract

For the stable numerical solution of nonlinear elastodynamic contact problems implicit discretization schemes are required. Here, we discuss a temporal discretization scheme where in each time step spatial displacements are computed as the solution of an optimization problem allowing for the application of globalization strategies. Moreover, in order to treat the solution of these optimization problems more efficiently, a novel abstract nonlinear preconditioning framework for globalization strategies is presented.

Suggested Citation

  • Christian Groß & Rolf Krause & Mirjam Walloth, 2010. "Nonlinear Decomposition Methods in Elastodynamics," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 407-415, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_43
    DOI: 10.1007/978-3-642-11795-4_43
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