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Reconstruction of missing boundary conditions from partially overspecified data : the Stokes system

Abstract : 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.
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Submitted on : Tuesday, November 29, 2016 - 7:43:28 PM
Last modification on : Wednesday, October 28, 2020 - 12:10:04 PM
Long-term archiving on: : Monday, March 27, 2017 - 8:37:41 AM

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Amel Ben Abda, Faten Khayat. Reconstruction of missing boundary conditions from partially overspecified data : the Stokes system. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2016, Volume 23 - 2016 - Special issue for LEM2I 2016, ⟨10.46298/arima.1494⟩. ⟨hal-01319733v2⟩

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