| Issue |
ESAIM: COCV
Volume 15, Number 4, October-December 2009
|
|
|---|---|---|
| Page(s) | 782 - 809 | |
| DOI | https://doi.org/10.1051/cocv:2008049 | |
| Published online | 20 August 2008 | |
Penalization of Dirichlet optimal control problems
1
Dpto. de Matemática
Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y
de Telecomunicación, Universidad de Cantabria, 39005 Santander,
Spain. eduardo.casas@unican.es
2
Dpto. de Matemáticas, Universidad de Oviedo,
Campus de Viesques, 33203 Gijón, Spain. mmateos@uniovi.es
3
Institut de Mathématiques de
Toulouse, UMR CNRS 5219, Université Paul Sabatier, 31062
Toulouse Cedex 9, France. raymond@mip.ups-tlse.fr
Received:
4
July
2007
Revised:
6
May
2008
We apply Robin penalization to Dirichlet optimal control problems governed by semilinear elliptic equations. Error estimates in terms of the penalization parameter are stated. The results are compared with some previous ones in the literature and are checked by a numerical experiment. A detailed study of the regularity of the solutions of the PDEs is carried out.
Mathematics Subject Classification: 49M30 / 35B30 / 35B37
Key words: Dirichlet optimal control / Robin penalization / regularity of solutions
© EDP Sciences, SMAI, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.