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Article Dans Une Revue Applied Numerical Mathematics Année : 2012

Higher order event capturing time-stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts

Résumé

The article is devoted to the study of higher order time integration methods for multibody systems with unilateral constraints. After a brief presentation of the mathematical modelling of nonsmooth multibody systems, several estimates on the local error of consistency of the Moreau time-stepping scheme are given. Based on these estimates, an attempt at an adaptive time-step strategy is presented with academic examples. Finally, higher order event--capturing methods are designed by coupling implicit Runge-Kutta schemes and Moreau's time-stepping scheme.
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Dates et versions

inria-00476398 , version 1 (29-10-2017)

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Vincent Acary. Higher order event capturing time-stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts. Applied Numerical Mathematics, 2012, Selected Papers from NUMDIFF-12, 62 (10), pp.1259-1275. ⟨10.1016/j.apnum.2012.06.026⟩. ⟨inria-00476398⟩
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