Numerical approximation of elliptic control problems with finitely many pointwise constraints

Authors:
Eduardo Casas;Mariano Mateos
Affiliations:
Departmento de Matemática Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y de Telecomunicación, Universidad de Cantabria, Santander, Spain 39005;Departmento de Matemáticas, E.P.I. Gijón, Universidad de Oviedo, Gijón, Spain 33203
Venue:
Computational Optimization and Applications
Year:
2012

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Abstract

We study the numerical approximation of elliptic control problems with finitely many pointwise state constraints and control bounds. Results for the continuous problem are collected and a complete study of the discrete problems is carried out, including, existence of solutions, optimality conditions, convergence to solutions of the continuous problem and error estimates. A numerical example is provided.