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
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400246
