@inbook{e33b5c98538045a9b14ef4e3dff35294,
title = "A priori error estimates for space-time finite element discretization of parabolic optimal control problems",
abstract = "In this article we summarize recent results on a priori error estimates for space-time finite element discretizations of linear-quadratic parabolic optimal control problems. We consider the following three cases: problems without inequality constraints, problems with pointwise control constraints, and problems with state constraints pointwise in time. For all cases, error estimates with respect to the temporal and to the spatial discretization parameters are derived. The results are illustrated by numerical examples.",
keywords = "Control constraints, Discretization error, Error estimates, Finite elements, Optimal control, Parabolic equations, State constraints",
author = "Dominik Meidner and Boris Vexler",
note = "Publisher Copyright: {\textcopyright} 2012, Springer Basel AG.",
year = "2012",
doi = "10.1007/978-3-0348-0133-1_23",
language = "English",
series = "International Series of Numerical Mathematics",
publisher = "Springer",
pages = "445--466",
booktitle = "International Series of Numerical Mathematics",
}