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EXISTENCE RESULTS FOR NONSMOOTH SECOND-ORDER DIFFERENTIAL INCLUSIONS, CONVERGENCE RESULT FOR A NUMERICAL SCHEME AND APPLICATION TO THE MODELING OF INELASTIC COLLISIONS
Frederic Bernicot, Aline Lefebvre-Lepot

EXISTENCE RESULTS FOR NONSMOOTH SECOND-ORDER DIFFERENTIAL INCLUSIONS, CONVERGENCE RESULT FOR A NUMERICAL SCHEME AND APPLICATION TO THE MODELING OF INELASTIC COLLISIONS

Science & Mathematics Published 2010 Verification Pending

Overview & Synopsis

We are interested in the existence results for second-order differential inclusions, involving finite number of unilateral constraints in an abstract framework. These constraints are described by a set-valued operator, more precisely a proximal normal cone to a timedependent set. In order to prove these existence results, we study an extension of the numerical scheme introduced in [10] and prove a convergence result for this scheme.

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Document Title EXISTENCE RESULTS FOR NONSMOOTH SECOND-ORDER DIFFERENTIAL INCLUSIONS, CONVERGENCE RESULT FOR A NUMERICAL SCHEME AND APPLICATION TO THE MODELING OF INELASTIC COLLISIONS
Author / Organization Frederic Bernicot, Aline Lefebvre-Lepot
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2010
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-175959
Original Source Link Visit Source Page on hal.science »