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A Vectorized Regularization Method for Multivalued Parameters Identification

Université Cady Ayyad, Laboratoire de Mathématiques Appliquées et Informatique, Faculté des Sciences et Techniques Marrakech, Avenue Abdelkrim El khttabi B.P. 549, Morocco

E-mail Address: a.ellabib@uca.ac.ma

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Youssef Ouakrim

Université Cady Ayyad, Laboratoire de Mathématiques Appliquées et Informatique, Faculté des Sciences et Techniques Marrakech, Avenue Abdelkrim El khttabi B.P. 549, Morocco

E-mail Address: youssef.ouakrim@ced.uca.ac.ma

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https://doi.org/10.1142/S0219876218501104Cited by:2 (Source: Crossref)

Abstract

The identification of multivalued parameters is formulated as a constraint minimization problem called primal problem. We embed it in a family of perturbed problems and we associate a dual problem with it using the conjugate functions. Basing on the primal-dual relationship, under some qualification conditions on the parameters to be identified we elaborate the well posedeness, convergence and stability of the solution assuming. Numerical simulations are described in the end for the identification of discontinuous dispersion tensor in transport equations.

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