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Pré-Publication, Document De Travail Année : 2016

A Method of Piecewise-Smooth Numerical Branching

Yves Renard

Résumé

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. It is shown in model examples of contact problems with Coulomb friction that the method can reliably discover all solution branches around a known solution if its input parameters are set up properly. It is also suggested how to choose the optimum parameter settings.
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Dates et 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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  • HAL Id : hal-01113564 , version 3

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Tomáš Ligurský, Yves Renard. A Method of Piecewise-Smooth Numerical Branching. 2016. ⟨hal-01113564v3⟩
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