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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Detalles Bibliográficos
Autores: Casas Rentería, Eduardo|||0000-0002-8364-9416; Mateos Alberdi, Mariano; Raymond, Jean Pierre
Tipo de documento: Artículo
Fecha de publicación:2009
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Lenguaje:Inglés
OAI Identifier:oai:repositorio.unican.es:10902/2964
Acceso en línea:http://hdl.handle.net/10902/2964
Nivel de acceso:Acceso abierto
Palabra clave:Dirichlet optimal control
Robin penalization
Regularity of solutions
Descripción
Sumario: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.