Penalization of Dirichlet optimal control problems

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 stu...

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Bibliographic Details
Authors: Casas Rentería, Eduardo|||0000-0002-8364-9416; Mateos Alberdi, Mariano; Raymond, Jean Pierre
Format: Article
Publication date:2009
Country:España
Institution:Universidad de Cantabria (UC)
Repository:UCrea Repositorio Abierto de la Universidad de Cantabria
Language:English
OAI Identifier:oai:repositorio.unican.es:10902/2964
Online Access:http://hdl.handle.net/10902/2964
Access Level:Open access
Keyword:Dirichlet optimal control
Robin penalization
Regularity of solutions
Description
Summary: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.