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A priori error estimates for nonstationary optimal control problems with gradient state constraints
Author(s) -
Ludovici Francesco,
Neitzel Ira,
Wollner Winnifried
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510295
Subject(s) - discretization , a priori and a posteriori , convergence (economics) , mathematical optimization , mathematics , zero (linguistics) , optimal control , derivative (finance) , state (computer science) , optimization problem , computer science , algorithm , mathematical analysis , philosophy , linguistics , epistemology , financial economics , economics , economic growth
We are concerned with the discretization of semilinear parabolic optimization problems subject to constraints on the first derivative of the solution of the PDE. Constructing sequences of feasible controls for the dG(0)‐cG(1) discretization of the problem and relying on a quadratric growth condtion, we show convergence orders as temporal and spatial mesh tends to zero. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)