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| HAL : hal-00473809, version 1 |
| DOI : 10.1137/100804711 |
| Fiche détaillée |  Récupérer au format |
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| SIAM Journal on Numerical Analysis 49, 5 (2011) 2039-2056 |
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| Analysis of the modified mass method for the dynamic Signorini problem with Coulomb friction |
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| David Doyen 1Alexandre Ern 2 |
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| (2011) |
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| The aim of the present work is to analyze the modified mass method for the dynamic Signorini problem with Coulomb friction. We prove that the space semi-discrete problem is equivalent to an upper semi-continuous one-sided Lipschitz differential inclusion and is, therefore, well-posed. We derive an energy balance. Next, considering an implicit time-integration scheme, we prove that, under a certain condition on the discretization parameters, the fully discrete problem is well-posed. For a fixed discretization in space, we prove also that the fully discrete solutions converge to the space semi-discrete solution when the time step tends to zero. |
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| 1 : | EDF R&D |
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EDF |
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| 2 : | Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS) |
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Ecole des Ponts ParisTech |
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| Domaine | : | Mathématiques/Analyse numérique |
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| Finite elements – Time-integration scheme – Elastodynamics – Unilateral contact – Coulomb friction – Differential inclusion – Modified mass method |
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| hal-00473809, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00473809 | |
| oai:hal.archives-ouvertes.fr:hal-00473809 | |
| Contributeur : Doyen David | |
| Soumis le : Vendredi 16 Avril 2010, 15:34:00 | |
| Dernière modification le : Jeudi 22 Décembre 2011, 10:50:04 | |
