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Journal Articles Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik Year : 2017

A Method of Piecewise-Smooth Numerical Branching

Abstract

A method of numerical branching is proposed for piecewise-smooth steady-state problems when any analytical expressions are not known for the regions of smoothness of the function involved. The performance of the method is shown for model bifurcations in discretised contact problems with Coulomb friction. First, different parameter settings in its input are tested so that the optimum one can be proposed. Then, the method is used to investigate the behaviour of the bifurcations for different meshes. All solution branches seem to be discovered reliably if the parameters are set up properly.
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Dates and versions

hal-01113564 , version 1 (05-02-2015)
hal-01113564 , version 2 (20-05-2016)
hal-01113564 , version 3 (04-10-2016)
hal-01113564 , version 4 (14-11-2016)

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Tomáš Ligurský, Yves Renard. A Method of Piecewise-Smooth Numerical Branching. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2017, 97 (7), pp.815-827. ⟨10.1002/zamm.201600219⟩. ⟨hal-01113564v4⟩
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