Mémoires de Fin d’Etudes
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