A priori error estimates for state constrained semilinear parabolic optimal control problems
A priori error estimates for state constrained semilinear parabolic optimal control problems
View/Date of Publication
02.2016Publisher
Institut für Numerische Simulation (INS)Publisher Location
BonnMetadata
Show full item record
Citable Link (Handle URI) 
https://hdl.handle.net/20.500.11811/11850
Abstract
We consider the finite element discretization of semilinear parabolic optimization problems subject to pointwise in time constraints on mean values of the state variable. In contrast to many results in numerical analysis of optimization problems subject to semilinear parabolic equations, we assume weak second order sufficient conditions. Relying on the resulting quadratic growth condition of the continuous problem, we derive rates of convergence as temporal and spatial mesh sizes tend to zero.
Subjects
Optimal control, Semilinear parabolic PDE, State constraints, Pointwise in time constraints, Space-time a priori error estimates
Classification (DDC)
510 Mathematik 518 Numerische AnalysisFirst Publication
https://ins.uni-bonn.de/publication/preprintsRelated Publications
https://doi.org/10.1007/s10957-018-1311-8Part of Series
INS Preprints ; 1605Ludovici, Francesco; Neitzel, Ira; Wollner, Winnifried: A priori error estimates for state constrained semilinear parabolic optimal control problems. In: INS Preprints, 1605.
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11850
Online-Ausgabe in bonndoc: https://hdl.handle.net/20.500.11811/11850
@unpublished{handle:20.500.11811/11850,
author = {{Francesco Ludovici} and {Ira Neitzel} and {Winnifried Wollner}},
title = {A priori error estimates for state constrained semilinear parabolic optimal control problems},
publisher = {Institut für Numerische Simulation (INS)},
year = 2016,
month = feb,
INS Preprints},
volume = 1605,
note = {We consider the finite element discretization of semilinear parabolic optimization problems subject to pointwise in time constraints on mean values of the state variable. In contrast to many results in numerical analysis of optimization problems subject to semilinear parabolic equations, we assume weak second order sufficient conditions. Relying on the resulting quadratic growth condition of the continuous problem, we derive rates of convergence as temporal and spatial mesh sizes tend to zero.},
url = {https://hdl.handle.net/20.500.11811/11850}
}
author = {{Francesco Ludovici} and {Ira Neitzel} and {Winnifried Wollner}},
title = {A priori error estimates for state constrained semilinear parabolic optimal control problems},
publisher = {Institut für Numerische Simulation (INS)},
year = 2016,
month = feb,
INS Preprints},
volume = 1605,
note = {We consider the finite element discretization of semilinear parabolic optimization problems subject to pointwise in time constraints on mean values of the state variable. In contrast to many results in numerical analysis of optimization problems subject to semilinear parabolic equations, we assume weak second order sufficient conditions. Relying on the resulting quadratic growth condition of the continuous problem, we derive rates of convergence as temporal and spatial mesh sizes tend to zero.},
url = {https://hdl.handle.net/20.500.11811/11850}
}
The following license files are associated with this item:
