21778 articles – 15587 Notices  [english version]
Fiche détaillée Articles dans des revues avec comité de lecture
Vietnam Journal of Mechanic, VAST 31, 3-4 (2009) 247-261
Data completion for linear symmetric operator as a Cauchy problem: an efficient method via energy-like error minimization
Thouraya Baranger1, Stéphane Andrieux2

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.
1 :  LaMCoS - Laboratoire de Mécanique des Contacts et des Structures
2 :  LAMSID - Laboratoire de Mécanique des Structures Industrielles Durables
Cauchy problem – Inverse problem – Identification – Elasticity. Crack