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Achieving optimal convergence order for FEM in control constrained optimal control problems
Author(s) -
Schneider René,
Wachsmuth Gerd
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510350
Subject(s) - convergence (economics) , optimal control , mathematical optimization , heuristic , finite element method , control (management) , interface (matter) , order (exchange) , computer science , mathematics , control theory (sociology) , engineering , economics , structural engineering , artificial intelligence , bubble , finance , maximum bubble pressure method , parallel computing , economic growth
We propose a new heuristic approach to overcome convergence order restrictions implied by the low regularity of the optimal control due to the activity interface of control constraints. Aligning the mesh with the interface yields an improved approximation of the control. Utility of the approach is demonstrated by numerical experiments. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)