@inbook{d3d7c20bd4fb4b91aac9707516b75954,
title = "A posteriori error estimation in pde-constrained optimization with pointwise inequality constraints",
abstract = "This article summarizes several recent results on goal-oriented error estimation and mesh adaptation for the solution of elliptic PDE-constrained optimization problems with additional inequality constraints. The first part is devoted to the control constrained case. Then some emphasis is given to pointwise inequality constraints on the state variable and on its gradient. In the last part of the article regularization techniques for state constraints are considered and the question is addressed, how the regularization parameter can adaptively be linked to the discretization error.",
keywords = "Adaptive finite elements, Adaptivity, Control and state constraints, Goal oriented error estimation, Pde-constrained optimization, Regularization",
author = "Rolf Rannacher and Boris Vexler and Winnifried Wollner",
note = "Publisher Copyright: {\textcopyright} 2012, Springer Basel AG.",
year = "2012",
doi = "10.1007/978-3-0348-0133-1_19",
language = "English",
series = "International Series of Numerical Mathematics",
publisher = "Springer",
pages = "349--373",
booktitle = "International Series of Numerical Mathematics",
}