Recherche en cours

Etablissement Université de Annaba - Badji Mokhtar Affiliation Département de Mathématique Auteur BOULAARAS, Salah Directeur de thèse Haior M. (Maitre de conférence) Filière Mathématiques Diplôme Doctorat Titre Asympotic behavior for a theta time scheme combined with a finite element spatial approximation in parabolic inequalities. Mots clés approximation in parabolic inequalit Résumé In this thesis, we have a new approach for the .nite element approximation of parabolicvariational and quasi-variational inequalities. We have established a convergence andasymptotic behavior for each type inequalities, using the semi-implicit time schemecombined with a .nite element spatial approximation for a class of parabolic quasi- variational inequalities with non linear source terms in the L1-norm, the  time schemecombined with a .nite element spatial approximation for parabolic variational,quasi-variational inequalities, and HJB equation. Furthermore the proposed approach standson a discrete L1-stability property with respect to the right-hand side and the obstacle. i Date de soutenance 2012 Cote 510 BOU Pagination 65p. Illusatration fig. Format 30 cm. Statut Soutenue

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