Nonlinear Decomposition Methods in Elastodynamics

Christian Groß (), Rolf Krause () and Mirjam Walloth ()
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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

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 407-415 from Springer

Abstract: 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.

Keywords: Contact Problem; Globalization Strategy; Nonlinear Programming Problem; Contact Constraint; Store Energy Function (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_43

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DOI: 10.1007/978-3-642-11795-4_43

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