| HAL : hal-00495470, version 1 |
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| Vietnam Journal of Mechanic, VAST 31, 3-4 (2009) 247-261 |
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| Data completion for linear symmetric operator as a Cauchy problem: an efficient method via energy-like error minimization |
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| Thouraya Baranger 1Stéphane Andrieux 2 |
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| (2009) |
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| Data completion is a problem in which known or measured superabundant data exist for part of the boundaries of a domain, whereas the data for the rest of the boundaries are unknown. Thus the aim is to determine the solution of a known PDE defined throughout the domain, which satisfies the superabundant data and then identifies the missing ones. For linear symmetric operators, we propose a general method to solve the data completion problem as a Cauchy problem. Various applications are described for stationary conduction and elastostatic problems. |
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| 1 : | Laboratoire de Mécanique des Contacts et des Structures (LaMCoS) |
| CNRS : UMR5259 – Institut National des Sciences Appliquées (INSA) - Lyon | |
| 2 : | Laboratoire de Mécanique des Structures Industrielles Durables (LAMSID) |
| CNRS : UMR2832 – EDF | |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles Mathématiques/Optimisation et contrôle Physique/Mécanique/Mécanique des solides Sciences de l'ingénieur/Mécanique/Mécanique des solides Sciences de l'ingénieur/Mécanique |
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| Cauchy problem – Inverse problem – Identification – Elasticity. Crack |
| hal-00495470, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00495470 | |
| oai:hal.archives-ouvertes.fr:hal-00495470 | |
| Contributeur : Thouraya Baranger | |
| Soumis le : Dimanche 27 Juin 2010, 15:28:22 | |
| Dernière modification le : Dimanche 27 Juin 2010, 15:28:22 | |