• DocumentCode
    3306587
  • Title

    Goal-oriented adaptivity in control constrained optimal control of partial differential equations

  • Author

    Hintermüller, Michael ; Hoppe, Ronald H W

  • Author_Institution
    Dept. of Math., Humboldt-Univ. of Berlin, Berlin, Germany
  • fYear
    2009
  • fDate
    15-18 Dec. 2009
  • Firstpage
    6454
  • Lastpage
    6459
  • Abstract
    Dual-weighted goal-oriented error estimates for a class of pointwise control constrained optimal control problems for second order elliptic partial differential equations are derived. It is demonstrated that the constraints give rise to a primal-dual weighted error term representing the mismatch in the complementarity system due to discretization. Besides a theoretical foundation, numerical results are presented.
  • Keywords
    optimal control; partial differential equations; dual weighted goal-oriented error estimates; goal oriented adaptivity; pointwise control constrained optimal control problems; second order elliptic partial differential equations; Automotive components; Computational efficiency; Constraint optimization; Error correction; Finite element methods; Large-scale systems; Optimal control; Partial differential equations; Physics computing; Tellurium;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
  • Conference_Location
    Shanghai
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-3871-6
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2009.5400246
  • Filename
    5400246
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3306587