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| HAL: hal-00450000, version 1 |
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| Mathematical Models and Methods in Applied Sciences 21, 6 (2011) 1291-1316 |
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| A Projection Approach to the Numerical Analysis of Limit Load Problems |
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| Guillaume Carlier 1Myriam Comte 2 |
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| (2011-01) |
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| This paper proposes a numerical scheme to approximate the solution of (vectorial) limit load problems. The method makes use of a strictly convex perturbation of the problem, which corresponds to a projection of the deformation field under bounded deformation and incompressibility constraints. The discretized formulation of this perturbation converges to the solution of the original landslide problem when the amplitude of the perturbation tends to zero. The projection is computed numerically with a multi-steps gradient descent on the dual formation of the problem. |
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| 1: | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
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CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
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| 2: | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Paris VI - Pierre et Marie Curie |
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| 3: | Propriétés mécaniques et thermodynamiques des matériaux (PMTM) |
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CNRS : UPR9001 |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Limit load analysis – functions of bounded deformation – penalizations – Nesterov algorithm |
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| hal-00450000, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00450000 | |
| oai:hal.archives-ouvertes.fr:hal-00450000 | |
| From: Gabriel Peyré | |
| Submitted on: Sunday, 24 January 2010 20:44:44 | |
| Updated on: Wednesday, 23 May 2012 22:03:46 | |
