Error estimates for the numerical approximation of semilinear elliptic control problems with finitely many state constraints

Ver/Abrir
Identificadores
URI: http://hdl.handle.net/10902/1995
ISSN: 1262-3377
ISSN: 1292-8119
Compartir
Estadísticas
Ver Estadísticas
Google Scholar
Registro completo
Mostrar el registro completo DC
Autoría
Casas Rentería, EduardoAutoridad Unican
Fecha
2002
Derechos
© EDP Sciences, SMAI 2002. The original publication is available at www.esaim-cocv.org
Publicado en
ESAIM: Control, Optimization and Calculus of Variations, 2002, 8, 345-374
Editorial
EDP Sciences
Enlace a la publicación
Palabras clave
Distributed control
State constraints
Semilinear elliptic equations
Numerical approximation
Finite element method
Error estimates
Resumen/Abstract
The goal of this paper is to derive some error estimates for the numerical discretization of some optimal control problems governed by semilinear elliptic equations with bound constraints on the control and a nitely number of equality and inequality state constraints. We prove some error estimates for the optimal controls in the L 1 norm and we also obtain error estimates for the Lagrange multipliers associated to the state constraints as well as for the optimal states and optimal adjoint states.
Colecciones a las que pertenece