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    Approximation of elliptic control problems in measure spaces with sparse solutions

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    Identificadores
    URI: http://hdl.handle.net/10902/2210
    DOI: 10.1137/110843216
    ISSN: 1095-7138
    ISSN: 0363-0129
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    Author
    Casas Rentería, EduardoAutoridad Unican; Clason, Christian; Kunisch, Karl
    Date
    2012
    Derechos
    © 2012 Society for Industrial and Applied Mathematics
    Publicado en
    SIAM Journal on Control and Optimization, 2012, 50(4), 1735–1752
    Publisher
    Society for Industrial and Applied Mathematics
    Palabras clave
    Measure controls
    Optimal control
    Sparsity
    Elliptic partial differential equation
    Convergence estimates
    Boundary control
    Abstract:
    Optimal control problems in measure spaces governed by elliptic equations are considered for distributed and Neumann boundary control, which are known to promote sparse solutions. Optimality conditions are derived and some of the structural properties of their solutions, in particular sparsity, are discussed. A framework for their approximation is proposed which is efficient for numerical computations and for which we prove convergence and provide error estimates.
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    • D20 Artículos [340]
    • D20 Proyectos de Investigación [197]

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    UNIVERSIDAD DE CANTABRIA

    Repositorio realizado por la Biblioteca Universitaria utilizando DSpace software
    Contact Us | Send Feedback
    Metadatos sujetos a:licencia de Creative Commons Reconocimiento 3.0 España