Amel Ben Abda ; Faten Khayat - Reconstruction of missing boundary conditions from partially overspecified data : the Stokes system

arima:1494 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, December 13, 2016, Volume 23 - 2016 - Special issue for LEM2I 2016 - https://doi.org/10.46298/arima.1494
Reconstruction of missing boundary conditions from partially overspecified data : the Stokes system

Authors: Amel Ben Abda ; Faten Khayat

We are interested in this paper with the ill-posed Cauchy-Stokes problem. We consider a data completion problem in which we aim recovering lacking data on some part of a domain boundary , from the knowledge of partially overspecified data on the other part. The inverse problem is formulated as an optimization one using an energy-like misfit functional. We give the first order opti-mality condition in terms of an interfacial operator. Displayed numerical results highlight its accuracy.


Volume: Volume 23 - 2016 - Special issue for LEM2I 2016
Published on: December 13, 2016
Submitted on: December 8, 2016
Keywords: Conditions aux limites défectueuses, Problème de Cauchy-Stokes, Complétion de données, Contrainte de cisaillement, Coefficient de Robin, Stent cérébral,[MATH] Mathematics [math],[SPI] Engineering Sciences [physics]


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