H. Metoui - Problème de contrôle optimal frontière pour l'équation de la chaleur : Approche variationnelle et pénalisation

arima:1868 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, November 12, 2006, Volume 5, Special Issue TAM TAM'05, november 2006 - https://doi.org/10.46298/arima.1868
Problème de contrôle optimal frontière pour l'équation de la chaleur : Approche variationnelle et pénalisation

Authors: H. Metoui

Our goal is to give a detailed analysis of an optimal control problem where the control variable is a rather boundary condition of Dirichlet type in L². We focus on establishing an appropriate variationnel approach to the optimal problem. We use the penalization method for the boundary control problem and we study the convergence between the penalized and the non-penalized boundary control problem. A numerical result is reported on to validate the convergence.


Volume: Volume 5, Special Issue TAM TAM'05, november 2006
Published on: November 12, 2006
Submitted on: April 28, 2006
Keywords: non smooth Dirichlet condition, Robin penalization,Boundary control, variational approach,Contrôle optimal frontière,Condition de Dirichlet peu régulière,Méthode de pénalisation par Robin,approche variationnelle,[MATH] Mathematics [math],[INFO] Computer Science [cs]


Share

Consultation statistics

This page has been seen 78 times.
This article's PDF has been downloaded 84 times.